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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0">
  <front>
    <journal-meta><journal-id journal-id-type="publisher">MR</journal-id><journal-title-group>
    <journal-title>Magnetic Resonance</journal-title>
    <abbrev-journal-title abbrev-type="publisher">MR</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Magn. Reson.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">2699-0016</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/mr-1-275-2020</article-id><title-group><article-title>Increased flow rate of hyperpolarized aqueous solution for dynamic nuclear polarization-enhanced magnetic resonance imaging achieved by an open Fabry–Pérot type microwave resonator</article-title><alt-title>Increased flow rate for DNP MRI</alt-title>
      </title-group><?xmltex \runningtitle{Increased flow rate for DNP MRI}?><?xmltex \runningauthor{A. Fedotov et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Fedotov</surname><given-names>Alexey</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Kurakin</surname><given-names>Ilya</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Fischer</surname><given-names>Sebastian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Vogl</surname><given-names>Thomas</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff3">
          <name><surname>Prisner</surname><given-names>Thomas F.</given-names></name>
          <email>prisner@chemie.uni-frankfurt.de</email>
        <ext-link>https://orcid.org/0000-0003-2850-9573</ext-link></contrib>
        <contrib contrib-type="author" corresp="yes" rid="aff3">
          <name><surname>Denysenkov</surname><given-names>Vasyl</given-names></name>
          <email>denysenkov@em.uni-frankfurt.de</email>
        <ext-link>https://orcid.org/0000-0001-6131-399X</ext-link></contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Applied Physics of the Russian Academy of Sciences,
Nizhny Novgorod, 603950, Russia</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Institute of Diagnostic and Interventional Radiology, University
Hospital Frankfurt,<?xmltex \hack{\break}?> Frankfurt am Main 60590, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Institute of Physical and Theoretical Chemistry and Center of
Biomolecular Magnetic Resonance,<?xmltex \hack{\break}?> Goethe University, Frankfurt am Main 60438, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Thomas F. Prisner (prisner@chemie.uni-frankfurt.de) <?xmltex \hack{\break}?> and Vasyl Denysenkov (denysenkov@em.uni-frankfurt.de)</corresp></author-notes><pub-date><day>18</day><month>November</month><year>2020</year></pub-date>
      
      <volume>1</volume>
      <issue>2</issue>
      <fpage>275</fpage><lpage>284</lpage>
      <history>
        <date date-type="received"><day>25</day><month>August</month><year>2020</year></date>
           <date date-type="rev-request"><day>1</day><month>September</month><year>2020</year></date>
           <date date-type="rev-recd"><day>7</day><month>October</month><year>2020</year></date>
           <date date-type="accepted"><day>13</day><month>October</month><year>2020</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2020 Alexey Fedotov et al.</copyright-statement>
        <copyright-year>2020</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://mr.copernicus.org/articles/mr-1-275-2020.html">This article is available from https://mr.copernicus.org/articles/mr-1-275-2020.html</self-uri><self-uri xlink:href="https://mr.copernicus.org/articles/mr-1-275-2020.pdf">The full text article is available as a PDF file from https://mr.copernicus.org/articles/mr-1-275-2020.pdf</self-uri>
      <abstract><title>Abstract</title>
    <p id="d1e147">A continuous flow dynamic nuclear polarization (DNP) employing the Overhauser effect at ambient temperatures can be used among other methods to increase sensitivity of magnetic resonance imaging (MRI). The hyperpolarized
state of water protons can be achieved by flowing aqueous liquid through a
microwave resonator placed directly in the bore of a 1.5 T MRI magnet. Here
we describe a new open Fabry–Pérot resonator as DNP polarizer, which exhibits a larger microwave exposure volume for the flowing liquid in
comparison with a cylindrical TE<inline-formula><mml:math id="M1" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">013</mml:mn></mml:msub></mml:math></inline-formula> microwave cavity. The
Fabry–Pérot resonator geometry was designed using quasi-optical theory and simulated by CST software. Performance of the new polarizer was tested
by MRI DNP experiments on a TEMPOL aqueous solution using a blood-vessel
phantom. The Fabry–Pérot resonator revealed a 2-fold larger DNP enhancement with a 4-fold increased flow rate compared to the cylindrical
microwave resonator. This increased yield of hyperpolarized liquid allows
MRI applications on larger target objects.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e168">Magnetic resonance imaging is a widespread method in clinical diagnostics
providing in vivo information on physiological and metabolic changes in tissue. MRI
is a non-invasive method because of the low excitation frequency in the
radiofrequency range. However, this implies also the low sensitivity of the
method, leading to long acquisition times. This can be improved by moving to
higher magnetic fields, but on the cost of high prices and large technical
demands. Contrast between different tissues is another concern. Contrast
agents, as for example Gd-complexes are typically used to improve the
contrast. However, in few cases, it induces side effects like allergic
reactions and nephrogenic systemic fibrosis (Perazella, 2009; Thomsen, 2008;
Kuo et al., 2007). Besides, potential long-term implications arising from
the permanent deposition of the Gd-complexes in the brain are currently
under discussion (Semelka et al., 2016; Topcuoglu et al., 2020). As an
alternative, hyperpolarization methods have been explored to improve
sensitivity and contrast for MRI applications. Different strategies have
been used so far to hyperpolarize an agent for MRI applications. Optically
polarized noble gases as well as para-hydrogen have been used as
hyperpolarized molecules for MRI (Salerno et al., 2001; Albert and Balamore,
1998; Limburn et al., 2013; Golman et al., 2001; Duckett and Mewis, 2012;
Cavallari et al., 2018).<?pagebreak page276?> Another method is DNP (dynamic nuclear
polarization) where unpaired electron spins excited by microwaves are used
to hyperpolarize nuclear spins. Initially this method has been used either
at very low magnetic fields or with rapid field cycling (Foster et al.,
1998) because microwave radiation cannot penetrate deep into living tissue,
or later by hyperpolarizing molecules externally before injection. Nitroxide
radicals like TEMPOL are widespread in use for MRI DNP. They have a high
Overhauser DNP transfer efficiency to water protons, especially at higher
magnetic field strengths (Krummenacker et al., 2012). Furthermore, these
radicals can be easily scavenged after the polarization or dissolution step
which makes samples biologically compatible and also reduces the shortening
of the nuclear <inline-formula><mml:math id="M2" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> relaxation time by the radical (Mieville et al.,
2010). However, EPR spectra of nitroxides have three <inline-formula><mml:math id="M3" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">14</mml:mn></mml:msup></mml:math></inline-formula>N hyperfine
lines that hampers a complete saturation of the EPR spectrum at lower
radical concentrations. Additionally, for potential medical MRI applications
the high radical concentrations needed for Overhauser DNP are not suitable
for injection. They can be avoided by immobilization of the nitroxide
radicals inside the microwave resonance structure on beads (McCarney and
Han, 2008), but the altered dynamics makes the DNP experiments somewhat more
complicated and less efficient.</p>
      <p id="d1e191">Dissolution DNP is a commercially available hyperpolarization method of
liquid substrates for MRI (Olsson et al., 2006). It uses metabolites such as
<inline-formula><mml:math id="M4" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C-pyruvate, which are polarized externally to the MRI magnet at very
low temperatures (<inline-formula><mml:math id="M5" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1 K) by the solid effect. Within 5 min
a polarization of 10 % can be achieved (Bornet and Jannin, 2016). After the
hyperpolarization procedure is complete, the frozen substrate is rapidly
transported to the imager magnet, dissolved in hot liquid, and injected into
the body. The typical (dissolving and transfer) time of 5–15 s limits
the in vivo usage to <inline-formula><mml:math id="M6" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C and <inline-formula><mml:math id="M7" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:math></inline-formula>N. It is difficult to detect
hyperpolarized protons with this approach because of the short relaxation
time of water protons compared to the transfer time (Ardenkjaer-Larsen et
al., 2014). Therefore, the method is mostly used for the study of cellular
metabolism with pyruvate, lactate or other metabolic precursors labelled
with low-gyromagnetic ratio nuclei having long relaxation times (Mishkovsky
et al., 2012; Jannin et al., 2019). The observation time window is limited
by the relaxation time of the hyperpolarized nuclei. Long-lived singlet
states might allow to extend this time window (Pileio et al., 2006; Dumez et
al., 2017).</p>
      <p id="d1e228">Hyperpolarization by the Overhauser mechanism is well suited for
physiological solutions under continuous flow conditions, because of the
rapid polarization transfer from the unpaired electrons of the radicals to
proton spins of the solvent. The polarization transfer in liquids works most
efficiently at low magnetic fields. Therefore, first Overhauser DNP
experiments for MRI (Guiberteau and Grucker, 1997; Krishna et al., 2002),
and proton-electron double-resonance imaging (PEDRI) (Foster et al., 1998)
were demonstrated at low magnetic fields of 6–15 mT. This allows
irradiation of the paramagnetic radical inside the mouse or rat body in the
MRI magnet. Such experiments, however, cannot be performed in clinical MRI
scanners at higher magnetic fields (respectively at higher frequencies) due
to the strong absorption of microwaves in living tissues, resulting in
unwanted heating. A second approach is again to hyperpolarize molecules
outside of the target object. This can be done by placing a mw resonator
with the radicals into the fringe field of the MRI magnet (Lingwood et al.,
2012) or directly inside the MRI magnet close to the target object
(Krummenacker et al., 2012). In the first case the hyperpolarization step is
done at a lower magnetic field compared to the MRI detection field. This
gives a higher polarization transfer efficiency, because the Overhauser
effect in liquids is optimal at low magnetic fields. However, the maximal
enhancement achieved at the imaging object is downscaled by the ratio
between the polarizing and the imaging detection field. For example, in case
of an X-band polarizer operating at <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">0</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.3</mml:mn></mml:mrow></mml:math></inline-formula> T and a 1.5 T MRI scanner
this reduction factor is 5-fold. In both cases the fast polarization
build-up times allow for continuous delivery of hyperpolarized water, which
is essential for monitoring flow and perfusion. In addition, if the
hyperpolarization of water reaches a steady state, it eliminates the need
for fast MR imaging sequences. In vivo injection of hyperpolarized water
safely allows for perfusion imaging in interstitial spaces, localized
angiography, and the visualization of brain perfusion because hyperpolarized
water freely crosses the blood-brain barrier (Lingwood et al., 2012).
Limitations in the accessible area arises from the fast proton spin
relaxation.</p>
      <?pagebreak page277?><p id="d1e246">In our “in-bore” 1.5 T MRI DNP setup there is no such “Boltzmann factor
penalty” and a water proton signal enhancement of up to 100 has been reached
under static conditions (Krummenacker et al., 2012). On the other hand, the
dimensions of fundamental resonators scale down inversely with the mw
frequency. Technical challenges are due to the unavoidable high dielectric
losses of water in the mw frequency range (Neumann, 1985). These dielectric
losses of aqueous samples result in a decrease of the resonators <inline-formula><mml:math id="M9" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>-factor,
and strong heating of the liquid. The heating can be minimized by applying a
resonance mw structure with well separated <inline-formula><mml:math id="M10" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M11" display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula> components of the applied
mw field and by placing the sample in a node of the <inline-formula><mml:math id="M12" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> component. Therefore,
cross-section dimensions of the liquid sample inside the resonator have to
be much smaller than the mw wavelength. This leads also to very short
retention times in case of the flowing liquid. The attainable yield is
defined by the highest possible flow rate at a maximum DNP enhancement in
such non-stop-flow polarizers. It depends on: (1) the dwell time of water
molecules inside the mw polarizer, which should be longer than the proton
relaxation time for an optimal DNP build-up, and (2) the mw <inline-formula><mml:math id="M13" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> field
strength, which defines the efficiency of saturation of the EPR transitions
of the dissolved TEMPOL radicals. The <inline-formula><mml:math id="M14" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value at the sample depends on
the conversion factor <inline-formula><mml:math id="M15" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> and the quality factor <inline-formula><mml:math id="M16" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> of the mw resonance
structure, and the applied mw power <inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">mw</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> (Eq. 1) (Poole, 1967; Rinard and Eaton, 2005).
          <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M18" display="block"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub><mml:mo>=</mml:mo><mml:mi>c</mml:mi><mml:msqrt><mml:mrow><mml:mi>Q</mml:mi><mml:mo>⋅</mml:mo><mml:msub><mml:mi>P</mml:mi><mml:mi mathvariant="normal">mw</mml:mi></mml:msub></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula>
        The quality factor <inline-formula><mml:math id="M19" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> of the resonator itself depends on the geometry of the
mw resonance structure and on sample properties, such as size of the sample
and its dielectric constant <inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">ε</mml:mi><mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>.</p>
      <p id="d1e371">Conveniently, cylindrical capillaries made of quartz can be used as liquid
sample holders. For this reason, the natural choice of the mw resonator
geometry is also cylindrical geometry, such as TE<inline-formula><mml:math id="M21" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">01</mml:mn><mml:mi mathvariant="normal">n</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> type cavities.
Such resonators have high <inline-formula><mml:math id="M22" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> factors as well as high conversion factors <inline-formula><mml:math id="M23" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> for
frozen solution samples and are commonly used in EPR spectroscopy (for
instance, <inline-formula><mml:math id="M24" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M25" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4000 for an unloaded TE<inline-formula><mml:math id="M26" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">012</mml:mn></mml:msub></mml:math></inline-formula> resonator at 95 GHz mw
frequency has been reported (Smirnov and Smirnova, 2001). This leads to a
large <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> field strength, which is advantageous for pulsed EPR
applications. The situation is quite different for MRI DNP applications.
Here the aqueous sample is in the liquid state, strongly increasing the mw
absorption if the sample capillary diameter is not strongly reduced. On the
other hand, larger amounts of hyperpolarized liquids are preferable to be
able to enhance contrast of as large as possible objects under MRI study.</p>
      <p id="d1e435">Fabry–Pérot resonators are mw resonance structures suitable for larger sample volumes, because different from fundamental mode mw cavities, the
sample size is only limited in one dimension (direction of the mw
excitation) much less than wavelength to avoid absorption of the <inline-formula><mml:math id="M28" display="inline"><mml:mi>E</mml:mi></mml:math></inline-formula> field
component (Budil and Earle, 2004). Among known quasi-optical mw resonators
(Lynch et al., 1988; Prisner et al., 1992; Barnes and Freed, 1997;
Milikisiyants et al., 2018; Blok et al., 2004; van Tol et al., 2005;
Neugebauer and Barra, 2010) a semi-confocal Fabry–Pérot resonator with the sample placed on the surface of a massive metal (copper) block acting as
the plain mirror can best satisfy heat dissipation conditions (Denysenkov
and Prisner, 2012).</p>
      <p id="d1e445">Here we report on such a new open resonator for Overhauser DNP applications
within a whole-body 1.5 T MRI scanner. Particular effort was directed at
reaching a uniform (plateau like) microwave field distribution along the
flow direction to obtain an efficient polarization transfer to water
molecules in the polarizer. The performance of the “in-bore” MRI DNP
polarizer equipped with the new resonator was tested and compared to the
cylindrical TE<inline-formula><mml:math id="M29" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">013</mml:mn></mml:msub></mml:math></inline-formula> cavity described before (Denysenkov et al., 2017).</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods and materials</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Design and simulation of the resonator</title>
      <p id="d1e472">An increase of the flow rate for a constant residence time of water
molecules inside the mw cavity requires a corresponding increase of the
cavity dimensions in flow direction. This can result in a higher spectral
density of mw modes of the cavity, which could prevent the selective
excitation of the desired mode. Excitation of other modes with similar
frequency would distort the standing mw field pattern inside the cavity and
thus reduce the excitation efficiency. In contrast, the use of a
Fabry–Pérot open resonance structure avoids such problems. Moreover, the semi-confocal arrangement, where the thin layer liquid sample is directly
placed on top of the flat copper mirror, allows effective cooling. A
schematic drawing of the new Fabry–Pérot resonator for DNP is depicted in Fig. 1.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><?xmltex \currentcnt{1}?><label>Figure 1</label><caption><p id="d1e477">Design of open mw resonance structure for MRI DNP. 1 – concave
mirror (copper), 2 – aqueous sample, 3 – fixture (brass), 4 – cover plate
(sapphire), 5 – plain mirror (copper), 6 – waveguide port. Aqueous solution
flow direction is indicated by the “substrate flow” arrow.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://mr.copernicus.org/articles/1/275/2020/mr-1-275-2020-f01.png"/>

        </fig>

      <p id="d1e486">Typically, Fabry–Pérot resonators use concave mirrors of elliptical or parabolic geometry. These mirrors provide Gaussian (or quasi-Gaussian)
transverse distribution of the microwave field intensity at the mirror
surface. However, for the considered DNP application a uniform distribution
of the <inline-formula><mml:math id="M30" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> field along the flow direction is preferable. It facilitates
the polarization transfer from the unpaired electron spin of the TEMPOL
radical to the proton spin of the water molecules, within their residence
time inside the resonance structure. Therefore, the shape of the concave top
mirror was calculated using an inverse design procedure, as described before
(Belousov et al., 2000). In this approach, the <inline-formula><mml:math id="M31" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> field distribution at
the flat mirror is assumed as quasi-homogeneous with the same phase. With
this boundary condition, the field propagation inside the resonator is
calculated.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><label>Figure 2</label><caption><p id="d1e514">Microwave magnetic field distribution in open resonator. <bold>(a)</bold> The simulated microwave magnetic field distribution (normalized) at the plain mirror. The substrate flow is along the horizontal <inline-formula><mml:math id="M32" display="inline"><mml:mi>x</mml:mi></mml:math></inline-formula> direction. <bold>(b)</bold> The calculated shape of the concave mirror (scale is in mm).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://mr.copernicus.org/articles/1/275/2020/mr-1-275-2020-f02.png"/>

        </fig>

      <p id="d1e536">The concave mirror shape is found as a surface where the phase of the
calculated field is equal to <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mi>q</mml:mi><mml:mi mathvariant="italic">π</mml:mi></mml:mrow></mml:math></inline-formula>, were <inline-formula><mml:math id="M34" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> is an integer (in our case,
<inline-formula><mml:math id="M35" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula> <inline-formula><mml:math id="M36" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 4, so that we use the 4th axial mode of the cavity). In these
simulations the exact equations of the microwave field propagation are used
instead of the paraxial approximation for higher accuracy. The possible
influence of the finite sizes of both the flat and the concave mirrors was
analyzed by an iterative method after the mirror shape was fixed (Fox and
Li, 1961). For this purpose, the microwave field propagation from one mirror
to the other one was iteratively calculated. For each passage, the phase of
the microwave field components was inverted at the mirror<?pagebreak page278?> surfaces, while
the mw power traveling outside of the mirror surfaces was assumed as the
power lost. This procedure provides easily the first eigenmode of the
resonator with the highest <inline-formula><mml:math id="M37" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> factor. The eigenfrequency of this mode is found
by satisfying the standing wave condition that the phase change along the
wave round-trip in the cavity is equal to 2<inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mi mathvariant="italic">π</mml:mi><mml:mi>q</mml:mi></mml:mrow></mml:math></inline-formula>. The quality factor <inline-formula><mml:math id="M39" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> of
the empty resonance structure can be determined by the mw losses per cycle
due to finite mirror sizes. The simulations show that the influence of the
finite mirror size are much less than the power loss arising from the liquid
sample and therefore negligible. The obtained <inline-formula><mml:math id="M40" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> field distribution at
the surface of the flat mirror and the calculated shape of the concave
mirror are shown in Fig. 2.</p>
      <p id="d1e606">The obtained concave mirror profile has been used further for the open
resonator simulation by using CST STUDIO SUITE (Darmstadt, Germany). These
simulations take into account the microwave losses in the aqueous sample and
the influence of the coupling slit between the cavity and feeding waveguide.
The simulated geometry is shown in Fig. 1 with a 80 <inline-formula><mml:math id="M41" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m thick water
layer on top of the plain mirror covered by a sapphire plate (1.5 mm), thick
enough to withstand the pressure applied under flow conditions (up to 7 bar). The dielectric permittivity of pure water with a temperature close to
100 <inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C at 42 GHz was set to <inline-formula><mml:math id="M43" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M44" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 47, <inline-formula><mml:math id="M45" display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="italic">ε</mml:mi><mml:mrow><mml:mo>′</mml:mo><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M46" display="inline"><mml:mo>=</mml:mo></mml:math></inline-formula> 32 (loss tangent tan<inline-formula><mml:math id="M47" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0.68</mml:mn></mml:mrow></mml:math></inline-formula>) (Andryievski et al., 2015).
The resonance modes (TEM<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">00</mml:mn></mml:msub></mml:math></inline-formula>, TEM<inline-formula><mml:math id="M49" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">02</mml:mn></mml:msub></mml:math></inline-formula>, TEM<inline-formula><mml:math id="M50" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">04</mml:mn></mml:msub></mml:math></inline-formula>) of the resonator
with the respective<inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> distribution along the water layer are shown in
Fig. 3.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><label>Figure 3</label><caption><p id="d1e718">Simulated reflection coefficient of the open resonance structure
connected to the microwave waveguide. The corresponding resonance modes are
identified by calculation of the <inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> field distribution at the plain
mirror (shown as insets).</p></caption>
          <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://mr.copernicus.org/articles/1/275/2020/mr-1-275-2020-f03.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><label>Figure 4</label><caption><p id="d1e740">Comparison of field distribution of open resonator with
cylindrical resonator. <bold>(a)</bold> Calculated <inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> field distribution at the plain mirror surface of the Fabry–Pérot resonator in presence of an aqueous layer of 80 <inline-formula><mml:math id="M54" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m for the TEM<inline-formula><mml:math id="M55" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">00</mml:mn></mml:msub></mml:math></inline-formula> mode; <bold>(b)</bold> <inline-formula><mml:math id="M56" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> distribution along the 0.5 mm ID quartz capillary with water along the TE<inline-formula><mml:math id="M57" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">013</mml:mn></mml:msub></mml:math></inline-formula> cylindrical cavity. The <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> value is calculated for an input mw power of 0.5 W.</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://mr.copernicus.org/articles/1/275/2020/mr-1-275-2020-f04.png"/>

        </fig>

      <p id="d1e816">In the simulations, the slit width between the feeding waveguide and the
resonator was optimized to achieve the most effective mw excitation. Since
the mw absorbance in the water layer is strong, a slit dimension as large as
1.4 <inline-formula><mml:math id="M59" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 5.6 mm<inline-formula><mml:math id="M60" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> is needed to reach the critical coupling. Therefore, the
wave scattering by the coupling slit results in some distortion of the
<inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> field homogeneity at the flat mirror (Fig. 4a). The simulation
predicts a <inline-formula><mml:math id="M62" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> factor of the TEM<inline-formula><mml:math id="M63" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">00</mml:mn></mml:msub></mml:math></inline-formula> mode of the resonator of 800 and a
maximal conversion factor <inline-formula><mml:math id="M64" display="inline"><mml:mi>c</mml:mi></mml:math></inline-formula> of about 3 G W<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mrow></mml:msup></mml:math></inline-formula>. Uniformity
of the RF magnetic field over the sample volume is also an important
parameter beside the <inline-formula><mml:math id="M66" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mi mathvariant="normal">max</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></inline-formula> value (Mett et al., 2019) that can be
evaluated by calculating the mean value of <inline-formula><mml:math id="M67" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. In the Fabry–Pérot resonator the <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mean value over the sample volume is about 1.55 G W<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mrow></mml:msup></mml:math></inline-formula> that is slightly higher in
comparison to the TE<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">013</mml:mn></mml:msub></mml:math></inline-formula> cylindrical cavity (1.4 G W<inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mrow></mml:msup></mml:math></inline-formula>) (Fig. 4b) used in our
MRI DNP experiments previously (Denysenkov et al., 2017). The simulations
show that the effectively irradiated area on the plain mirror surface is
about 40 <inline-formula><mml:math id="M72" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 12 mm<inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>, corresponding to 40 <inline-formula><mml:math id="M74" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L volume of aqueous solution
inside the resonator for an 80 <inline-formula><mml:math id="M75" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m thick layer.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>MRI DNP setup</title>
      <p id="d1e1001">MRI detection was performed by a 1.5 T MRI scanner (Magnetom Aera, Siemens,
Erlangen, Germany) using a standard 8-channel surface pick-up coil (NORAS,
Germany) positioned horizontally in the iso-center of the magnet bore
(Fig. 5).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><?xmltex \currentcnt{5}?><label>Figure 5</label><caption><p id="d1e1006">In-bore Overhauser DNP-MRI setup. 1 – mw resonator, 2 – waveguide
between the mw resonator and the microwave board, 3 – syringe pump, 4 –
microwave board.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://mr.copernicus.org/articles/1/275/2020/mr-1-275-2020-f05.png"/>

        </fig>

      <p id="d1e1015">According to the “in-bore” concept, the polarization transfer from the
TEMPOL radical electron spins to the water protons as well as the MRI
detection are accomplished at ambient temperature in the same 1.5 T magnetic
field. This corresponds to an EPR excitation frequency of 42 GHz (Denysenkov
et al., 2017).</p>
      <p id="d1e1019">All MRI images were taken on a meander-shaped phantom made of a 0.4 mm ID
and 300 mm long PTFE tubing shown in Fig. 6, in which the hyperpolarized
solution from the resonator was transferred via a piece of 0.25 mm ID quartz
capillary (Polymicro Technologies, USA). The phantom was placed directly on
top of the pick-up coil for optimal<?pagebreak page279?> sensitivity. For imaging the standard 2D
slice-selective gradient echo (GRE) experiment with Cartesian <inline-formula><mml:math id="M76" display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula>-space
filling was used with the number of encoding steps of 144, a repetition time
(TR) of 110 ms, an echo time (TE) of 3.8 ms, a pixel bandwidth of 310 Hz, an
acquisition matrix of 192 <inline-formula><mml:math id="M77" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 256 and a field-of-view (FOV) of 90 <inline-formula><mml:math id="M78" display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 120 mm<inline-formula><mml:math id="M79" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula>.
The slice thickness was chosen in a range of 3 mm to minimize TE and
signal-to-noise losses due to flow induced dephasing. The excitation RF
pulse flip angle (FA) was set to 65<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> to meet the optimal
conditions for the best signal contrast and sensitivity. The
signal-to-noise-ratio (SNR) of the reference image (without DNP) was
improved by acquiring 3 averages per scan resulting in an overall duration
of 47 s. The SNR was determined by measuring the maximal signal intensity
at the inlet area of the phantom and the standard deviation of the noise
outside the phantom.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><label>Figure 6</label><caption><p id="d1e1063">Phantom used for the DNP-MRI measurements. The meander-shaped 0.4 mm ID PTFE tubing is mimicking a blood vessel. Inlet of the phantom is
connected to the resonator via a piece of 0.25 mm ID quartz capillary
(right-bottom corner of the picture).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://mr.copernicus.org/articles/1/275/2020/mr-1-275-2020-f06.png"/>

        </fig>

      <p id="d1e1072">The nitroxide radical TEMPOL
(4-hydroxy-2,2,6,6-tetramethylpiperidine-1-oxyl, Sigma-Aldrich, USA) was
used as DNP agent to polarize water protons. The best DNP enhancements were
obtained with a concentration of 28 mM TEMPOL, which was optimized
previously (Denysenkov et al., 2017). Measurements of DNP enhancements and
SNR were done for flow rates of the TEMPOL aqueous solution ranging from 0.5
to 4 mL min<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. Such flow rates of the aqueous solution have been accomplished
by using a 10 mL syringe driven by an ALADDIN syringe pump (WPI Inc., USA),
and injected into the resonator via a 0.8 mm ID PTFE tube.</p><?xmltex \hack{\newpage}?>
</sec>
</sec>
<?pagebreak page280?><sec id="Ch1.S3">
  <label>3</label><title>Experimental Results</title>
<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Resonator performance</title>
      <p id="d1e1104">The open resonator (Fig. 7) was home-build in the workshop of the
Institute of Physical and Theoretical Chemistry at the Goethe University
Frankfurt and tested experimentally for its mw performance with a Rohde &amp;
Schwarz ZVA-40 network analyzer (Munich, Germany).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><?xmltex \currentcnt{7}?><label>Figure 7</label><caption><p id="d1e1109">The resonator assembly. 1 – quartz capillary from the resonator to
phantom, 2 – concave mirror, 3 – WR-22 waveguide, 4 – housing including the plain mirror, 5 – 0.8 mm ID tubing from the syringe filled with the TEMPOL solution, 6 – frequency tune knob.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://mr.copernicus.org/articles/1/275/2020/mr-1-275-2020-f07.png"/>

        </fig>

      <p id="d1e1118">The measured frequency response showed several resonance modes (Fig. 8)
which can be identified according to the resonance frequencies calculated
previously by CST (compare with Fig. 3).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><?xmltex \currentcnt{8}?><label>Figure 8</label><caption><p id="d1e1124">Experimentally measured reflection coefficient of the open
resonator connected to the microwave waveguide. The water layer is 50 <inline-formula><mml:math id="M82" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m thick, the sapphire window is 1.5 mm thick, and the separation between mirrors is 2<inline-formula><mml:math id="M83" display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula>. The different resonance modes are identified by comparison with the CST simulations shown in Fig. 3.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://mr.copernicus.org/articles/1/275/2020/mr-1-275-2020-f08.png"/>

        </fig>

      <p id="d1e1148">The TEM<inline-formula><mml:math id="M84" display="inline"><mml:msub><mml:mi/><mml:mrow><mml:mn mathvariant="normal">00</mml:mn><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math></inline-formula> mode was chosen for the DNP experiments due to its high
homogeneity of the <inline-formula><mml:math id="M85" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> field distribution along the flow axis and the
highest average value of <inline-formula><mml:math id="M86" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> over the sample. The longitudinal mode
number <inline-formula><mml:math id="M87" display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> defines the number of <inline-formula><mml:math id="M88" display="inline"><mml:mrow><mml:mi mathvariant="italic">λ</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> wavelengths between the two
mirrors. It was set to <inline-formula><mml:math id="M89" display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> for our experiments to reach a critical mw
coupling to the resonator and avoid any reflection losses. The measured <inline-formula><mml:math id="M90" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula>
value of this resonance mode is about 700 when the resonator is filled with
a 50 <inline-formula><mml:math id="M91" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m thick water layer on top of the plain mirror. It resulted in
the conversion factor of 1.55 G W<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mfrac><mml:mn mathvariant="normal">1</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mrow></mml:msup></mml:math></inline-formula> (mean value) over the sample
volume, which agreed very well with the value calculated by the CST
software. This demonstrates that finite element calculations are as good as
measurements in a well-characterized resonator (Rinard and Eaton, 2005).</p>
</sec>
<sec id="Ch1.S3.SS2">
  <label>3.2</label><title>MRI DNP Results</title>
      <p id="d1e1255">MRI images of the TEMPOL/water solution flowing through the meander-shaped
phantom were taken to investigate the DNP performance with the new setup.
Figure 9 shows the images taken with a GRE sequence with the parameters
described before. The substrate flows from the right side to the left side.
The image of the radical solution without mw irradiation in the resonator is
shown in Fig. 9a. In this case, three acquisitions were necessary to get an appropriate SNR. The water signal at the inlet is weaker because the first
loop of the tubing moves out of the phantom plane and therefore leaves the
MRI slice (see Fig. 6). The image on the right side (Fig. 9b) was
obtained as a single acquisition with the microwaves turned on to its
maximum power of 10 W at the microwave board. Both pictures are taken with
the same flow rate of 2.5 mL min<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. The signal intensity under DNP conditions
at the inlet is 18-fold larger compared to the control experiment without mw
irradiation. As can be seen from the picture the enhancement fades away
along the pathway of the flowing liquid and disappears at approximately 22 cm.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><label>Figure 9</label><caption><p id="d1e1272">MRI image of TEMPOL aqueous solution flowing through the phantom.
<bold>(a)</bold> Without microwaves, 3 acquisitions; <bold>(b)</bold> with microwaves, single acquisition. Phantom inlet position is indicated by the arrow. The radical concentration is 28 mM and the flow rate is 2.5 mL min<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://mr.copernicus.org/articles/1/275/2020/mr-1-275-2020-f09.png"/>

        </fig>

      <p id="d1e1299">MRI images were taken also at different flow rates to quantify the superior
performance of the new open resonator (with the TEM<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">004</mml:mn></mml:msub></mml:math></inline-formula> mode) compared
to the cylindrical TE<inline-formula><mml:math id="M96" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">013</mml:mn></mml:msub></mml:math></inline-formula> cavity. The signal enhancement (ratio of
signal with and without mw) at the inlet versus different flow rates for
both resonators is shown in Fig. 10. As can be seen the signal enhancement
is a factor of 2 larger with the Fabry–Pérot resonator compared<?pagebreak page281?> to the cylindrical one. The maximum enhancement of 18 is reached for a flow rate of
2.5 mL min<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><?xmltex \currentcnt{10}?><label>Figure 10</label><caption><p id="d1e1335">DNP MRI signal enhancements as a function of the flow rate. Shown
are the results with the new Fabry–Pérot resonator (red) and the cylindrical cavity (blue) at a mw power of 10 W.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://mr.copernicus.org/articles/1/275/2020/mr-1-275-2020-f10.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Discussion</title>
      <p id="d1e1353">The experimental tests showed that the new resonator has a good mw
performance only if the thickness of the water layer is reduced to 50 <inline-formula><mml:math id="M98" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m with respect to the value of 80 <inline-formula><mml:math id="M99" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>m used in the CST simulations. This
can be explained by imperfections of the real device geometry caused by
fabrication steps, as well as by the higher mw losses (tan<inline-formula><mml:math id="M100" display="inline"><mml:mrow><mml:mi mathvariant="italic">δ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1.2</mml:mn></mml:mrow></mml:math></inline-formula>)
in the water sample at room temperature (Ellison et al., 1996), which was
the experimental temperature at the mw characterization of the device with a
network analyser with low amount of mw output power (no heating). In the DNP
experiments the temperature of the sample is between 65 and 95 <inline-formula><mml:math id="M101" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C due to the heating by the much higher applied mw power of 10 W. The higher temperature of the water solution in the DNP resonator
shortens the rotational and translational correlation times
improving the maximum achievable signal enhancements. Additionally this
increases the flow rate inside the resonator structure slightly due to fluid
expansion. After leaving the mw resonator the temperature of the
hyperpolarized solution in the outlet capillary can be brought back to any
desired temperature by a heat-sink chiller as described before (Denysenkov
et al., 2017) to be physiologically compatible with in vivo experiments.</p>
      <p id="d1e1393">The optimum flow rate for signal enhancement by DNP is a trade-off between
the dwell time of the liquid inside the mw resonator and the flow time
through the phantom. The first aspect requires low flow rates to achieve
maximum polarization build-up, which is on the timescale of the proton spin
relaxation time <inline-formula><mml:math id="M102" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. The second aspect requires high flow rates to reduce
the hyperpolarization losses due to proton <inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> relaxation determined by
the flow time through the phantom. As a consequence of this second point,
the highest enhancement is observed at the inlet of the phantom due to the
shortest time delay after the DNP polarization process inside the resonator.</p>
      <p id="d1e1418">The DNP enhancement observed at this point is more than a factor of 2 larger
for the new open Fabry–Pérot resonance structure compared to the cylindrical cavity (Fig. 10). The reason is the much larger sample volume
inside of the new resonator (25 <inline-formula><mml:math id="M104" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L) compared to the cylindrical cavity
(6.3 <inline-formula><mml:math id="M105" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L), leading to a much longer residence time of the liquid under
flow conditions and therefore a larger starting polarization. The achieved
<inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> field strength with the Fabry–Pérot resonator is only 10 % smaller compared to the cylindrical cavity for the TE<inline-formula><mml:math id="M107" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">013</mml:mn></mml:msub></mml:math></inline-formula> mode. This is
due to the fact that higher <inline-formula><mml:math id="M108" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> values can be achieved with the new resonance structure by minimizing the electrical field component of the mw
at the sample along the full pathway within the resonator. This cannot be
fulfilled as well for the higher mode cylindrical cavity. Similarly, the
<inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> field in the new resonator is much more homogeneous along the pathway
of the sample compared to the cylindrical cavity. All these factors lead to
an expected larger DNP enhancement of the liquid at the exit of the new
resonator.</p>
      <p id="d1e1476">The hyperpolarization of the liquid relaxes exponentially back to the
thermal Boltzmann equilibrium polarization after leaving the DNP resonator
with a time constant given by the proton <inline-formula><mml:math id="M110" display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> relaxation time. For the 28 mM TEMPOL solution this time is approximately 0.17 s. Depending on the flow
characteristics (laminar, bolus or turbulent), this would lead to a decrease in the polarization of <inline-formula><mml:math id="M111" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mi>e</mml:mi></mml:mrow></mml:math></inline-formula> after approximately 10–15 cm path length inside
of the phantom. The experimentally observed decay is much faster due to the
chosen gradient echo pulse sequence with a short TR of 110 ms. This time is
much shorter than the travel time of the hyperpolarized liquid within the
meander-shaped pathway of the phantom. Therefore the hyperpolarized liquid
is excited several times by the RF <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi mathvariant="italic">π</mml:mi><mml:mo>/</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:math></inline-formula> pulse of the gradient echo
sequence. Under our experimental conditions (flip angle of 65<inline-formula><mml:math id="M113" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>), each subsequent pulse reduces the hyperpolarization by more than a factor of 2.
This can be avoided by applying fast imaging techniques such as echo planar imaging (EPI or SE-EPI) or/and SPatio-temporal ENcoding (SPEN) sequences that are single RF pulse experiments, instead of the multi-pulse GRE
protocol used here. However, these sequences are technically more demanding
and have to be optimized with respect to contrast and flow artifacts. The fast polarization decay along the flowing liquid due to the short proton
spin relaxation time induced by the paramagnetic radicals could be removed
by immobilizing the TEMPOL radical inside the DNP resonator (McCarney and
Han, 2008; Gajan et al., 2014). This would not only allow the hyperpolarized liquid pathway inside the blood vessels to be observed for a prolonged time
and length after the injection point, but also would avoid the exposure of the object to the radical.</p>
      <?pagebreak page282?><p id="d1e1524">The image of the DNP enhanced (bright) signal along the phantom tubing has
some dark regions at the positions where the tubing is bent (see Fig. 9b).
This feature can originate from some turbulence of the flow at these
positions, leading to intra-voxel dephasing, which depends on the degree of
turbulence and the direction of the phase- and frequency-encoding gradients
with respect to the flow direction (Westbrook et al., 2011). To avoid these
additional complications, we compare here the maximum achievable DNP
polarization at the inlet point (approximately 5 cm after the resonator).
With the new type of resonator, not only larger enhancements, but also a maximum at larger flow rates, was achieved. This is again due to the larger sample volume inside the resonator. Therefore larger amounts and stronger
hyperpolarized liquids can be achieved with the new resonator type.</p>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <label>5</label><title>Conclusions</title>
      <p id="d1e1536">The developed open Fabry–Pérot resonator for Overhauser DNP exhibits an enlarged aqueous sample volume of 24 <inline-formula><mml:math id="M114" display="inline"><mml:mrow class="unit"><mml:mi mathvariant="normal">µ</mml:mi></mml:mrow></mml:math></inline-formula>L inside the mw resonator, a 4-fold increase with respect to a cylindrical TE<inline-formula><mml:math id="M115" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">013</mml:mn></mml:msub></mml:math></inline-formula> cavity at 42 GHz.
Additionally, the new resonator has a more homogeneous amplitude of the mw
<inline-formula><mml:math id="M116" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> field along the sample pathway inside the resonance structure. The
design of the resonator and sample geometry also leads to a reduced
<inline-formula><mml:math id="M117" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> mw electrical field component along the sample pathway. This leads to
a larger <inline-formula><mml:math id="M118" display="inline"><mml:mi>Q</mml:mi></mml:math></inline-formula> value of 700 and thus to a similar efficient <inline-formula><mml:math id="M119" display="inline"><mml:mrow><mml:msub><mml:mi>B</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> field
amplitude (1.3 G) at the sample compared to a cylindrical TE<inline-formula><mml:math id="M120" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">013</mml:mn></mml:msub></mml:math></inline-formula> cavity.
First MRI DNP experiments with the new resonator demonstrate the possibility
of increasing the flow rate of hyperpolarized solutions significantly (4-fold) as well as of reaching higher DNP enhancements (2-fold). The obtained
improvement is encouraging and might together with using immobilized TEMPO
radicals be a promising approach for in vivo MRI angiography applications on small
animals in the future.</p>
</sec>

      
      </body>
    <back><notes notes-type="dataavailability"><title>Data availability</title>

      <p id="d1e1610">The Supplement contains the following files: (1) Fabry_Perot resonator simulation.cst that was used to optimize geometry of the structure and (2) Fabry_Perot resonator design.dwg that was used to show all the parts and dimensions of the structure.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e1613">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/mr-1-275-2020-supplement" xlink:title="zip">https://doi.org/10.5194/mr-1-275-2020-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1622">AF simulated the resonator structure and wrote Sect. 2 of the manuscript.
IK calculated the concave mirror profile. SF optimized the MRI protocol and wrote Sect. 3 of the manuscript. TV supervised the MRI experiments. TFP supervised the DNP project and wrote Sects. 1 and 4 of the manuscript. VD
planned the resonator improvements, designed the device, performed the resonator performance tests, and participated in the MRI experiments. He also
wrote the final version of the manuscript. All the authors read and approved the final manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1628">The authors declare that they have no conflict of interest.</p>
  </notes><notes notes-type="sistatement"><title>Special issue statement</title>

      <p id="d1e1634">This article is part of the special issue “Robert Kaptein Festschrift”. It is not associated with a conference.</p>
  </notes><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1640">This research has been supported by the DFG (Deutsche Forschungsgemeinschaft, grant no. 405972957), by the Russian Ministry of Education and Science (grant no. 0035-2019-0001) and the Hessian Center of Biomolecular Magnetic Resonance (BMRZ).<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>This open-access publication was funded <?xmltex \hack{\newline}?> by the Goethe University Frankfurt.</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1651">This paper was edited by Konstantin Ivanov and reviewed by two anonymous referees.</p>
  </notes><ref-list>
    <title>References</title>

      <ref id="bib1.bib1"><label>1</label><?label 1?><mixed-citation>Albert, M. S. and Balamore, D.: Development of hyperpolarized noble gas
MRI, Nucl. Instrum. Methods, A402, 441–453,
<ext-link xlink:href="https://doi.org/10.1016/S0168-9002(97)00888-7" ext-link-type="DOI">10.1016/S0168-9002(97)00888-7</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bib2"><label>2</label><?label 1?><mixed-citation>Andryieuski, A., Kuznetsova, S. M., Zhukovsky, S. V., Kivshar, Y. S., and
Lavrinenko, A. V.: Water: promising opportunities for tunable all-dielectric
electromagnetic metamaterials, Sci. Rep., 5, 13535,
<ext-link xlink:href="https://doi.org/10.1038/srep13535" ext-link-type="DOI">10.1038/srep13535</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bib3"><label>3</label><?label 1?><mixed-citation>Ardenkjaer-Larsen, J. H., Laustsen, C., Bowen, S., and Rizi, R.:
Hyperpolarized H<inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>O angiography, Magn. Reson. Med., 71, 50–56,
<ext-link xlink:href="https://doi.org/10.1002/mrm.25033" ext-link-type="DOI">10.1002/mrm.25033</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib4"><label>4</label><?label 1?><mixed-citation>Barnes, J. P. and Freed, J. H.: Aqueous sample holders for high-frequency
electron spin resonance, Rev. Sci. Instrum., 68, 2838–2846,
<ext-link xlink:href="https://doi.org/10.1063/1.1148205" ext-link-type="DOI">10.1063/1.1148205</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bib5"><label>5</label><?label 1?><mixed-citation>Belousov, V., Denisov, G., and Chirkov, A.: Calculation and
parameter-control methods of eigenmodes of the simplest two-mirror
resonators, Izv. Vuzov, Radiophys., 8, 738–746,
<ext-link xlink:href="https://doi.org/10.1023/A:1004869622320" ext-link-type="DOI">10.1023/A:1004869622320</ext-link>, 2000.</mixed-citation></ref>
      <ref id="bib1.bib6"><label>6</label><?label 1?><mixed-citation>Blok, H., Disselhorst, J., Orlinskii, S. B., and Schmidt, J.: A
continuous-wave and pulsed electron spin resonance spectrometer operating at
275 GHz, J. Magn. Reson., 166, 92–99, <ext-link xlink:href="https://doi.org/10.1016/j.jmr.2003.10.011" ext-link-type="DOI">10.1016/j.jmr.2003.10.011</ext-link>,
2004.</mixed-citation></ref>
      <ref id="bib1.bib7"><label>7</label><?label 1?><mixed-citation>Bornet, A. and Jannin, S.: Optimizing dissolution dynamic nuclear
polarization, J. Magn. Reson., 264, 13–21,
<ext-link xlink:href="https://doi.org/10.1016/j.jmr.2015.12.007" ext-link-type="DOI">10.1016/j.jmr.2015.12.007</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib8"><label>8</label><?label 1?><mixed-citation>
Budil, D. E. and Earle, K. A.: Sample resonators for quasioptical EPR, in:
Very High Frequency ESR/EPR, edited by: Grinberg, O. Y. and Berliner, L. J., Springer, Boston, USA, 2004.</mixed-citation></ref>
      <ref id="bib1.bib9"><label>9</label><?label 1?><mixed-citation>Cavallari, E., Carrera, C., Sorge, M., Bonne, G., Muchir, A., Aime, S., and
Reineri, F.: The <inline-formula><mml:math id="M122" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C hyperpolarized pyruvate generated by ParaHydrogen
detects the response of th<?pagebreak page283?>e heart to altered metabolism in real time, Sci.
Rep. 8, 8366, <ext-link xlink:href="https://doi.org/10.1038/s41598-018-26583-2" ext-link-type="DOI">10.1038/s41598-018-26583-2</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib10"><label>10</label><?label 1?><mixed-citation>Denysenkov, V. and Prisner, T. F.: Liquid state dynamic nuclear polarization
probe with Fabry-Perot resonator at 9.2 T, J. Magn. Reson., 217, 1–5,
<ext-link xlink:href="https://doi.org/10.1016/j.jmr.2012.01.014" ext-link-type="DOI">10.1016/j.jmr.2012.01.014</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib11"><label>11</label><?label 1?><mixed-citation>Denysenkov, V., Terekhov, M., Maeder, R., Fischer, S., Zangos, S., Vogl, T.,
and Prisner, T.: Continuous-flow DNP polarizer for MRI applications at 1.5 T, Sci. Rep. 7, 44010, <ext-link xlink:href="https://doi.org/10.1038/srep44010" ext-link-type="DOI">10.1038/srep44010</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib12"><label>12</label><?label 1?><mixed-citation>Duckett, S. B. and Mewis, R. E.: Application of parahydrogen induced
polarization techniques in NMR spectroscopy and imaging, Accounts Chem. Res., 45, 1247–1257, <ext-link xlink:href="https://doi.org/10.1021/ar2003094" ext-link-type="DOI">10.1021/ar2003094</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib13"><label>13</label><?label 1?><mixed-citation>Dumez, J., Vuichoud, B., Mammoli, D., Bornet, A., Pinon, A., Stevanato, G.,
Meier, B., Bodenhausen, G., Jannin, S., and Levitt, M.: Dynamic Nuclear
Polarization of Long-Lived Nuclear Spin States in Methyl Groups, J. Phys.
Chem. Lett., 8, 3549–3555, <ext-link xlink:href="https://doi.org/10.1021/acs.jpclett.7b01512" ext-link-type="DOI">10.1021/acs.jpclett.7b01512</ext-link>, 2017.</mixed-citation></ref>
      <ref id="bib1.bib14"><label>14</label><?label 1?><mixed-citation>Ellison, W. J., Lamkaouchi, K., and Moreau, J. M.: Water: a dielectric
reference, J. Mol. Liq., 68, 171–279, <ext-link xlink:href="https://doi.org/10.1016/0167-7322(96)00926-9" ext-link-type="DOI">10.1016/0167-7322(96)00926-9</ext-link>,
1996.</mixed-citation></ref>
      <ref id="bib1.bib15"><label>15</label><?label 1?><mixed-citation>Foster, M. A., Seimenis, I., and Lurie, D. J.: The application of PEDRI to
the study of free radicals <italic>in vivo</italic>, Phys. Med. Biol., 43, 1893–1897,
<ext-link xlink:href="https://doi.org/10.1088/0031-9155/43/7/010" ext-link-type="DOI">10.1088/0031-9155/43/7/010</ext-link>, 1998.</mixed-citation></ref>
      <ref id="bib1.bib16"><label>16</label><?label 1?><mixed-citation>Fox, A. G. and Li, T.: Resonant modes in a maser interferometer, Bell Labs
Tech. J., 40, 453–488, <ext-link xlink:href="https://doi.org/10.1002/j.1538-7305.1961.tb01625.x" ext-link-type="DOI">10.1002/j.1538-7305.1961.tb01625.x</ext-link>, 1961.</mixed-citation></ref>
      <ref id="bib1.bib17"><label>17</label><?label 1?><mixed-citation>Gajan, D., Bornet, A., Vuichoud, B., Milani, J., Melzi, R., van Kalkeren,
H. A., Veyre, L., Thieuleux, C., Conley, M., Grüning, W.,
Schwarzwälder, M., Lesage, A., Copéret, C., Bodenhausen, G.,
Emsley, L., and Jannin, S.: Hybrid polarizing solids for pure hyperpolarized
liquids through dissolution dynamic nuclear polarization, P. Natl. Acad.
Sci. USA, 111, 14693–14697, <ext-link xlink:href="https://doi.org/10.1073/pnas.1407730111" ext-link-type="DOI">10.1073/pnas.1407730111</ext-link>, 2014.</mixed-citation></ref>
      <ref id="bib1.bib18"><label>18</label><?label 1?><mixed-citation>Golman, K., Axelsson, O., Johannesson, H., Mansson, S., Olofsson, C., and
Petersson, J. S.: Parahydrogen-induced polarization in imaging: Subsecond
C-13 angiography, Magn. Reson. Med., 46, 1–5, <ext-link xlink:href="https://doi.org/10.1002/mrm.1152" ext-link-type="DOI">10.1002/mrm.1152</ext-link>,
2001.</mixed-citation></ref>
      <ref id="bib1.bib19"><label>19</label><?label 1?><mixed-citation>Guiberteau, T. and Grucker, D.: Dynamic nuclear polarization imaging in very
low magnetic fields as a noninvasive technique for oximetry, J. Magn.
Reson., 124, 263–266, <ext-link xlink:href="https://doi.org/10.1006/jmre.1996.1055" ext-link-type="DOI">10.1006/jmre.1996.1055</ext-link>, 1997.</mixed-citation></ref>
      <ref id="bib1.bib20"><label>20</label><?label 1?><mixed-citation>Jannin, S., Dumez, J.-N., Giraudeau, P., and Kurzbach, D.: Application and
methodology of dissolution dynamic nuclear polarization in physical,
chemical and biological contexts, J. Magn. Reson., 305, 41–50,
<ext-link xlink:href="https://doi.org/10.1016/j.jmr.2019.06.001" ext-link-type="DOI">10.1016/j.jmr.2019.06.001</ext-link>, 2019.</mixed-citation></ref>
      <ref id="bib1.bib21"><label>21</label><?label 1?><mixed-citation>Krishna, M., English, S., Yamada, K., Yoo, J., Murugesan, R., Devasahayam,
N., Cook, J. A., Golman, K., Ardenkjaer-Larsen, J. H., Subramanian, S., and
Mitchell, J. B.: Overhauser enhanced magnetic resonance imaging for tumor
oximetry: Co-registration of tumor anatomy and tissue oxygen concentration,
P. Natl. Acad. Sci. USA, 99, 2216–2221,
<ext-link xlink:href="https://doi.org/10.1073/pnas.042671399" ext-link-type="DOI">10.1073/pnas.042671399</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bib22"><label>22</label><?label 1?><mixed-citation>Krummenacker, J., Denysenkov, V., Terekhov, M., Schreiber, L., and Prisner,
T. F.: DNP in MRI: An in-bore approach at 1.5 T, J. Magn. Reson., 215,
94–99, <ext-link xlink:href="https://doi.org/10.1016/j.jmr.2011.12.015" ext-link-type="DOI">10.1016/j.jmr.2011.12.015</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib23"><label>23</label><?label 1?><mixed-citation>Kuo, P. H., Kanal, E., Abu-Alfa, A. K., and Cowper, S. E.: Gadolinium-based
MR contrast agents and nephrogenic systemic fibrosis, Radiology, 242, 647–649, <ext-link xlink:href="https://doi.org/10.1148/radiol.2423061640" ext-link-type="DOI">10.1148/radiol.2423061640</ext-link>, 2007.</mixed-citation></ref>
      <ref id="bib1.bib24"><label>24</label><?label 1?><mixed-citation>Lilburn, D., Pavlovskaya, G., and Meersmann, T.: Perspectives of
hyperpolarized noble gas MRI beyond <inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>He, J. Magn. Reson. 229, 173–186,
<ext-link xlink:href="https://doi.org/10.1016/j.jmr.2012.11.014" ext-link-type="DOI">10.1016/j.jmr.2012.11.014</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bib25"><label>25</label><?label 1?><mixed-citation>Lingwood, M. D., Siaw, T. A., Sailasuta, N., Abulseoud, O. A., Chan, H. R.,
Ross, B. D., Bhattacharya, P., and Han, S.: Hyperpolarized water as an MR
imaging contrast agent: feasibility of in vivo imaging in a rat model,
Radiology, 265, 418–425, <ext-link xlink:href="https://doi.org/10.1148/radiol.12111804" ext-link-type="DOI">10.1148/radiol.12111804</ext-link>, 2012.</mixed-citation></ref>
      <ref id="bib1.bib26"><label>26</label><?label 1?><mixed-citation>Lynch, W. B., Earle, K. A., and Freed, J. H.: 1-mm wave ESR spectrometer,
Rev. Sci. Instrum., 59, 1345–1351, <ext-link xlink:href="https://doi.org/10.1063/1.1139720" ext-link-type="DOI">10.1063/1.1139720</ext-link>, 1988.</mixed-citation></ref>
      <ref id="bib1.bib27"><label>27</label><?label 1?><mixed-citation>McCarney, E. R. and Han, S.: Spin-labeled gel for the production of
radical-free dynamic nuclear polarization enhanced molecules for NMR
spectroscopy and imaging, J. Magn. Reson. 190, 307–315,
<ext-link xlink:href="https://doi.org/10.1016/j.jmr.2007.11.013" ext-link-type="DOI">10.1016/j.jmr.2007.11.013</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib28"><label>28</label><?label 1?><mixed-citation>Mett, R., Sidabras, J., Anderson, J., Klug, C., and Hyde, J.: Rutile
dielectric loop-gap resonator for X-band EPR spectroscopy of small aqueous
samples, J. Magn. Reson., 307, 106585, <ext-link xlink:href="https://doi.org/10.1016/j.jmr.2019.106585" ext-link-type="DOI">10.1016/j.jmr.2019.106585</ext-link>,
2019.</mixed-citation></ref>
      <ref id="bib1.bib29"><label>29</label><?label 1?><mixed-citation>Mieville, P., Ahuja, P., Sarkar, R., Jannin, S., Vasos, P. R.,
Gerber-Lemaire, S., Mishkovsky, M., Comment, A., Gruetter, R., Ouari, O., Tordo, P., and Bodenhausen, G.: Scavenging Free Radicals To Preserve
Enhancement and Extend Relaxation Times in NMR using Dynamic Nuclear Polarization, Angew. Chem., 122, 6318–6321,
<ext-link xlink:href="https://doi.org/10.1002/ange.201000934" ext-link-type="DOI">10.1002/ange.201000934</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib30"><label>30</label><?label 1?><mixed-citation>Milikisiyants, S., Nevzorov, A. A., and Smirnov, A. I.: Photonic band-gap
resonators for high-field/high-frequency EPR of microliter-volume liquid
aqueous samples, J. Magn. Reson., 296, 152–164,
<ext-link xlink:href="https://doi.org/10.1016/j.jmr.2018.09.006" ext-link-type="DOI">10.1016/j.jmr.2018.09.006</ext-link>, 2018.</mixed-citation></ref>
      <ref id="bib1.bib31"><label>31</label><?label 1?><mixed-citation>Mishkovsky, M., Comment, A., and Gruetter, R.: In-vivo detection of brain
Krebs cycle intermediate by hyperpolarized magnetic resonance, J. Cerebr.
Blood F. Met., 32, 2108–2113, <ext-link xlink:href="https://doi.org/10.1038/jcbfm.2012.136" ext-link-type="DOI">10.1038/jcbfm.2012.136</ext-link>,
2012.</mixed-citation></ref>
      <ref id="bib1.bib32"><label>32</label><?label 1?><mixed-citation>Neugebauer, P. and Barra, A.-L.: New cavity design for broad-band
quasi-optical HF-EPR spectroscopy, Appl. Magn. Reson., 37, 833–843,
<ext-link xlink:href="https://doi.org/10.1007/s00723-009-0092-5" ext-link-type="DOI">10.1007/s00723-009-0092-5</ext-link>, 2010.</mixed-citation></ref>
      <ref id="bib1.bib33"><label>33</label><?label 1?><mixed-citation>Neumann, M.: The dielectric constant of water – computer simulations with
the MCY potential, J. Chem. Phys., 82, 5663–5672, <ext-link xlink:href="https://doi.org/10.1063/1.448553" ext-link-type="DOI">10.1063/1.448553</ext-link>,
1985.</mixed-citation></ref>
      <ref id="bib1.bib34"><label>34</label><?label 1?><mixed-citation>Olsson, L. E., Chai, C.-M., Axelsson, O., Karlsson, M., Golman, K., and
Petersson, J. S.: MR coronary angiography in pigs with intraarterial
injections of a hyperpolarized <inline-formula><mml:math id="M124" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">13</mml:mn></mml:msup></mml:math></inline-formula>C substance, Magn. Reson. Med., 55,
731–737, <ext-link xlink:href="https://doi.org/10.1002/mrm.20847" ext-link-type="DOI">10.1002/mrm.20847</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib35"><label>35</label><?label 1?><mixed-citation>Perazella, M. A.: Current status of gadolinium toxicity in patients with
kidney disease, Clin. J. Am. Soc. Nephrol., 4, 461–469,
<ext-link xlink:href="https://doi.org/10.2215/CJN.06011108" ext-link-type="DOI">10.2215/CJN.06011108</ext-link>, 2009.</mixed-citation></ref>
      <ref id="bib1.bib36"><label>36</label><?label 1?><mixed-citation>Pileio, G., Concistre, M., Carravetta, M., and Levitt, M.: Long-lived
nuclear spin states in the solution NMR of four-spin systems, J. Magn.
Reson., 182, 353–357, <ext-link xlink:href="https://doi.org/10.1016/j.jmr.2006.06.034" ext-link-type="DOI">10.1016/j.jmr.2006.06.034</ext-link>, 2006.</mixed-citation></ref>
      <ref id="bib1.bib37"><label>37</label><?label 1?><mixed-citation>
Poole Jr., C. P.: Electron Spin Resonance: A Comprehensive Treatise on
Experimental Techniques, Wiley, New York, USA, 1967.</mixed-citation></ref>
      <?pagebreak page284?><ref id="bib1.bib38"><label>38</label><?label 1?><mixed-citation>Prisner, T. F., Un, S., and Griffin, R. G.: Pulsed ESR at 140 GHz, Isr. J.
Chem., 32, 357–363, <ext-link xlink:href="https://doi.org/10.1002/IJCH.199200042" ext-link-type="DOI">10.1002/IJCH.199200042</ext-link>, 1992.</mixed-citation></ref>
      <ref id="bib1.bib39"><label>39</label><?label 1?><mixed-citation>
Rinard, G. A. and Eaton, G. R.: Loop-Gap Resonators, in: Biological Magnetic Resonance, edited by: Berliner, L. J., v. 24, Wiley, New York, USA, 2005.</mixed-citation></ref>
      <ref id="bib1.bib40"><label>40</label><?label 1?><mixed-citation>Salerno, M., Altes, T. A., Mugler, J. P., Nakatsu, M., Hatabu, H., and de
Lange, E. E.: Hyperpolarized noble gas MR imaging of the lung: potential
clinical applications, Eur. J. Radiol., 40, 33–44,
<ext-link xlink:href="https://doi.org/10.1016/S0720-048X(01)00347-3" ext-link-type="DOI">10.1016/S0720-048X(01)00347-3</ext-link>, 2001.</mixed-citation></ref>
      <ref id="bib1.bib41"><label>41</label><?label 1?><mixed-citation>Semelka, R. C., Ramalho, M., Al Obaidy, M., and Ramalho, J.: Gadolinium in
Humans: A Family of Disorders, Am. J. Roentgenol., 207, 229–233,
<ext-link xlink:href="https://doi.org/10.2214/AJR.15.15842" ext-link-type="DOI">10.2214/AJR.15.15842</ext-link>, 2016.</mixed-citation></ref>
      <ref id="bib1.bib42"><label>42</label><?label 1?><mixed-citation>Smirnov, A. I. and Smirnova, T. I.: Resolving domains of interdigitated
phospholipid membranes with 95 GHz spin labeling EPR, Appl. Magn. Reson.,
21, 453–467, <ext-link xlink:href="https://doi.org/10.1007/BF03162420" ext-link-type="DOI">10.1007/BF03162420</ext-link>, 2001.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bib43"><label>43</label><?label 1?><mixed-citation>Thomsen, H. S.: Is NSF only the tip of the “gadolinium toxicity” iceberg?,
J. Magn. Reson. Imag., 28, 284–286, <ext-link xlink:href="https://doi.org/10.1002/jmri.21478" ext-link-type="DOI">10.1002/jmri.21478</ext-link>, 2008.</mixed-citation></ref>
      <ref id="bib1.bib44"><label>44</label><?label 1?><mixed-citation>Topcuoglu, E., Topcuoglu, M., Oysu, M., and Bukte, M.: Does gadoterate
meglumine cause gadolinium retention in the brain of children? A
case–control study, J. Magn. Reson. Imag., 51, 1471–1477,
<ext-link xlink:href="https://doi.org/10.1002/jmri.26954" ext-link-type="DOI">10.1002/jmri.26954</ext-link>, 2020.</mixed-citation></ref>
      <ref id="bib1.bib45"><label>45</label><?label 1?><mixed-citation>van Tol, J., Brunel, L.-C., and Wylde, R. J.: A quasioptical transient
electron spin resonance spectrometer operating at 120 and 240 GHz, Rev. Sci.
Instrum., 76, 074101, <ext-link xlink:href="https://doi.org/10.1063/1.1942533" ext-link-type="DOI">10.1063/1.1942533</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bib46"><label>46</label><?label 1?><mixed-citation>
Westbrook, K., Caut-Roth, K., and Talbot, J.: MRI in practice,
Wiley-Blackwell, Chichester, UK, 2011.</mixed-citation></ref>

  </ref-list></back>
    <!--<article-title-html>Increased flow rate of hyperpolarized aqueous solution for dynamic nuclear polarization-enhanced magnetic resonance imaging achieved by an open Fabry–Pérot type microwave resonator</article-title-html>
<abstract-html><p>A continuous flow dynamic nuclear polarization (DNP) employing the Overhauser effect at ambient temperatures can be used among other methods to increase sensitivity of magnetic resonance imaging (MRI). The hyperpolarized
state of water protons can be achieved by flowing aqueous liquid through a
microwave resonator placed directly in the bore of a 1.5&thinsp;T MRI magnet. Here
we describe a new open Fabry–Pérot resonator as DNP polarizer, which exhibits a larger microwave exposure volume for the flowing liquid in
comparison with a cylindrical TE<sub>013</sub> microwave cavity. The
Fabry–Pérot resonator geometry was designed using quasi-optical theory and simulated by CST software. Performance of the new polarizer was tested
by MRI DNP experiments on a TEMPOL aqueous solution using a blood-vessel
phantom. The Fabry–Pérot resonator revealed a 2-fold larger DNP enhancement with a 4-fold increased flow rate compared to the cylindrical
microwave resonator. This increased yield of hyperpolarized liquid allows
MRI applications on larger target objects.</p></abstract-html>
<ref-html id="bib1.bib1"><label>1</label><mixed-citation>
Albert, M. S. and Balamore, D.: Development of hyperpolarized noble gas
MRI, Nucl. Instrum. Methods, A402, 441–453,
<a href="https://doi.org/10.1016/S0168-9002(97)00888-7" target="_blank">https://doi.org/10.1016/S0168-9002(97)00888-7</a>, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>2</label><mixed-citation>
Andryieuski, A., Kuznetsova, S. M., Zhukovsky, S. V., Kivshar, Y. S., and
Lavrinenko, A. V.: Water: promising opportunities for tunable all-dielectric
electromagnetic metamaterials, Sci. Rep., 5, 13535,
<a href="https://doi.org/10.1038/srep13535" target="_blank">https://doi.org/10.1038/srep13535</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>3</label><mixed-citation>
Ardenkjaer-Larsen, J. H., Laustsen, C., Bowen, S., and Rizi, R.:
Hyperpolarized H<sub>2</sub>O angiography, Magn. Reson. Med., 71, 50–56,
<a href="https://doi.org/10.1002/mrm.25033" target="_blank">https://doi.org/10.1002/mrm.25033</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>4</label><mixed-citation>
Barnes, J. P. and Freed, J. H.: Aqueous sample holders for high-frequency
electron spin resonance, Rev. Sci. Instrum., 68, 2838–2846,
<a href="https://doi.org/10.1063/1.1148205" target="_blank">https://doi.org/10.1063/1.1148205</a>, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>5</label><mixed-citation>
Belousov, V., Denisov, G., and Chirkov, A.: Calculation and
parameter-control methods of eigenmodes of the simplest two-mirror
resonators, Izv. Vuzov, Radiophys., 8, 738–746,
<a href="https://doi.org/10.1023/A:1004869622320" target="_blank">https://doi.org/10.1023/A:1004869622320</a>, 2000.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>6</label><mixed-citation>
Blok, H., Disselhorst, J., Orlinskii, S. B., and Schmidt, J.: A
continuous-wave and pulsed electron spin resonance spectrometer operating at
275&thinsp;GHz, J. Magn. Reson., 166, 92–99, <a href="https://doi.org/10.1016/j.jmr.2003.10.011" target="_blank">https://doi.org/10.1016/j.jmr.2003.10.011</a>,
2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>7</label><mixed-citation>
Bornet, A. and Jannin, S.: Optimizing dissolution dynamic nuclear
polarization, J. Magn. Reson., 264, 13–21,
<a href="https://doi.org/10.1016/j.jmr.2015.12.007" target="_blank">https://doi.org/10.1016/j.jmr.2015.12.007</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>8</label><mixed-citation>
Budil, D. E. and Earle, K. A.: Sample resonators for quasioptical EPR, in:
Very High Frequency ESR/EPR, edited by: Grinberg, O. Y. and Berliner, L. J., Springer, Boston, USA, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>9</label><mixed-citation>
Cavallari, E., Carrera, C., Sorge, M., Bonne, G., Muchir, A., Aime, S., and
Reineri, F.: The <sup>13</sup>C hyperpolarized pyruvate generated by ParaHydrogen
detects the response of the heart to altered metabolism in real time, Sci.
Rep. 8, 8366, <a href="https://doi.org/10.1038/s41598-018-26583-2" target="_blank">https://doi.org/10.1038/s41598-018-26583-2</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>10</label><mixed-citation>
Denysenkov, V. and Prisner, T. F.: Liquid state dynamic nuclear polarization
probe with Fabry-Perot resonator at 9.2&thinsp;T, J. Magn. Reson., 217, 1–5,
<a href="https://doi.org/10.1016/j.jmr.2012.01.014" target="_blank">https://doi.org/10.1016/j.jmr.2012.01.014</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>11</label><mixed-citation>
Denysenkov, V., Terekhov, M., Maeder, R., Fischer, S., Zangos, S., Vogl, T.,
and Prisner, T.: Continuous-flow DNP polarizer for MRI applications at 1.5&thinsp;T, Sci. Rep. 7, 44010, <a href="https://doi.org/10.1038/srep44010" target="_blank">https://doi.org/10.1038/srep44010</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>12</label><mixed-citation>
Duckett, S. B. and Mewis, R. E.: Application of parahydrogen induced
polarization techniques in NMR spectroscopy and imaging, Accounts Chem. Res., 45, 1247–1257, <a href="https://doi.org/10.1021/ar2003094" target="_blank">https://doi.org/10.1021/ar2003094</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>13</label><mixed-citation>
Dumez, J., Vuichoud, B., Mammoli, D., Bornet, A., Pinon, A., Stevanato, G.,
Meier, B., Bodenhausen, G., Jannin, S., and Levitt, M.: Dynamic Nuclear
Polarization of Long-Lived Nuclear Spin States in Methyl Groups, J. Phys.
Chem. Lett., 8, 3549–3555, <a href="https://doi.org/10.1021/acs.jpclett.7b01512" target="_blank">https://doi.org/10.1021/acs.jpclett.7b01512</a>, 2017.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>14</label><mixed-citation>
Ellison, W. J., Lamkaouchi, K., and Moreau, J. M.: Water: a dielectric
reference, J. Mol. Liq., 68, 171–279, <a href="https://doi.org/10.1016/0167-7322(96)00926-9" target="_blank">https://doi.org/10.1016/0167-7322(96)00926-9</a>,
1996.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>15</label><mixed-citation>
Foster, M. A., Seimenis, I., and Lurie, D. J.: The application of PEDRI to
the study of free radicals <i>in vivo</i>, Phys. Med. Biol., 43, 1893–1897,
<a href="https://doi.org/10.1088/0031-9155/43/7/010" target="_blank">https://doi.org/10.1088/0031-9155/43/7/010</a>, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>16</label><mixed-citation>
Fox, A. G. and Li, T.: Resonant modes in a maser interferometer, Bell Labs
Tech. J., 40, 453–488, <a href="https://doi.org/10.1002/j.1538-7305.1961.tb01625.x" target="_blank">https://doi.org/10.1002/j.1538-7305.1961.tb01625.x</a>, 1961.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>17</label><mixed-citation>
Gajan, D., Bornet, A., Vuichoud, B., Milani, J., Melzi, R., van Kalkeren,
H. A., Veyre, L., Thieuleux, C., Conley, M., Grüning, W.,
Schwarzwälder, M., Lesage, A., Copéret, C., Bodenhausen, G.,
Emsley, L., and Jannin, S.: Hybrid polarizing solids for pure hyperpolarized
liquids through dissolution dynamic nuclear polarization, P. Natl. Acad.
Sci. USA, 111, 14693–14697, <a href="https://doi.org/10.1073/pnas.1407730111" target="_blank">https://doi.org/10.1073/pnas.1407730111</a>, 2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>18</label><mixed-citation>
Golman, K., Axelsson, O., Johannesson, H., Mansson, S., Olofsson, C., and
Petersson, J. S.: Parahydrogen-induced polarization in imaging: Subsecond
C-13 angiography, Magn. Reson. Med., 46, 1–5, <a href="https://doi.org/10.1002/mrm.1152" target="_blank">https://doi.org/10.1002/mrm.1152</a>,
2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>19</label><mixed-citation>
Guiberteau, T. and Grucker, D.: Dynamic nuclear polarization imaging in very
low magnetic fields as a noninvasive technique for oximetry, J. Magn.
Reson., 124, 263–266, <a href="https://doi.org/10.1006/jmre.1996.1055" target="_blank">https://doi.org/10.1006/jmre.1996.1055</a>, 1997.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>20</label><mixed-citation>
Jannin, S., Dumez, J.-N., Giraudeau, P., and Kurzbach, D.: Application and
methodology of dissolution dynamic nuclear polarization in physical,
chemical and biological contexts, J. Magn. Reson., 305, 41–50,
<a href="https://doi.org/10.1016/j.jmr.2019.06.001" target="_blank">https://doi.org/10.1016/j.jmr.2019.06.001</a>, 2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>21</label><mixed-citation>
Krishna, M., English, S., Yamada, K., Yoo, J., Murugesan, R., Devasahayam,
N., Cook, J. A., Golman, K., Ardenkjaer-Larsen, J. H., Subramanian, S., and
Mitchell, J. B.: Overhauser enhanced magnetic resonance imaging for tumor
oximetry: Co-registration of tumor anatomy and tissue oxygen concentration,
P. Natl. Acad. Sci. USA, 99, 2216–2221,
<a href="https://doi.org/10.1073/pnas.042671399" target="_blank">https://doi.org/10.1073/pnas.042671399</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>22</label><mixed-citation>
Krummenacker, J., Denysenkov, V., Terekhov, M., Schreiber, L., and Prisner,
T. F.: DNP in MRI: An in-bore approach at 1.5&thinsp;T, J. Magn. Reson., 215,
94–99, <a href="https://doi.org/10.1016/j.jmr.2011.12.015" target="_blank">https://doi.org/10.1016/j.jmr.2011.12.015</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>23</label><mixed-citation>
Kuo, P. H., Kanal, E., Abu-Alfa, A. K., and Cowper, S. E.: Gadolinium-based
MR contrast agents and nephrogenic systemic fibrosis, Radiology, 242, 647–649, <a href="https://doi.org/10.1148/radiol.2423061640" target="_blank">https://doi.org/10.1148/radiol.2423061640</a>, 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>24</label><mixed-citation>
Lilburn, D., Pavlovskaya, G., and Meersmann, T.: Perspectives of
hyperpolarized noble gas MRI beyond <sup>3</sup>He, J. Magn. Reson. 229, 173–186,
<a href="https://doi.org/10.1016/j.jmr.2012.11.014" target="_blank">https://doi.org/10.1016/j.jmr.2012.11.014</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>25</label><mixed-citation>
Lingwood, M. D., Siaw, T. A., Sailasuta, N., Abulseoud, O. A., Chan, H. R.,
Ross, B. D., Bhattacharya, P., and Han, S.: Hyperpolarized water as an MR
imaging contrast agent: feasibility of in vivo imaging in a rat model,
Radiology, 265, 418–425, <a href="https://doi.org/10.1148/radiol.12111804" target="_blank">https://doi.org/10.1148/radiol.12111804</a>, 2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>26</label><mixed-citation>
Lynch, W. B., Earle, K. A., and Freed, J. H.: 1-mm wave ESR spectrometer,
Rev. Sci. Instrum., 59, 1345–1351, <a href="https://doi.org/10.1063/1.1139720" target="_blank">https://doi.org/10.1063/1.1139720</a>, 1988.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>27</label><mixed-citation>
McCarney, E. R. and Han, S.: Spin-labeled gel for the production of
radical-free dynamic nuclear polarization enhanced molecules for NMR
spectroscopy and imaging, J. Magn. Reson. 190, 307–315,
<a href="https://doi.org/10.1016/j.jmr.2007.11.013" target="_blank">https://doi.org/10.1016/j.jmr.2007.11.013</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>28</label><mixed-citation>
Mett, R., Sidabras, J., Anderson, J., Klug, C., and Hyde, J.: Rutile
dielectric loop-gap resonator for X-band EPR spectroscopy of small aqueous
samples, J. Magn. Reson., 307, 106585, <a href="https://doi.org/10.1016/j.jmr.2019.106585" target="_blank">https://doi.org/10.1016/j.jmr.2019.106585</a>,
2019.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>29</label><mixed-citation>
Mieville, P., Ahuja, P., Sarkar, R., Jannin, S., Vasos, P. R.,
Gerber-Lemaire, S., Mishkovsky, M., Comment, A., Gruetter, R., Ouari, O., Tordo, P., and Bodenhausen, G.: Scavenging Free Radicals To Preserve
Enhancement and Extend Relaxation Times in NMR using Dynamic Nuclear Polarization, Angew. Chem., 122, 6318–6321,
<a href="https://doi.org/10.1002/ange.201000934" target="_blank">https://doi.org/10.1002/ange.201000934</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>30</label><mixed-citation>
Milikisiyants, S., Nevzorov, A. A., and Smirnov, A. I.: Photonic band-gap
resonators for high-field/high-frequency EPR of microliter-volume liquid
aqueous samples, J. Magn. Reson., 296, 152–164,
<a href="https://doi.org/10.1016/j.jmr.2018.09.006" target="_blank">https://doi.org/10.1016/j.jmr.2018.09.006</a>, 2018.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>31</label><mixed-citation>
Mishkovsky, M., Comment, A., and Gruetter, R.: In-vivo detection of brain
Krebs cycle intermediate by hyperpolarized magnetic resonance, J. Cerebr.
Blood F. Met., 32, 2108–2113, <a href="https://doi.org/10.1038/jcbfm.2012.136" target="_blank">https://doi.org/10.1038/jcbfm.2012.136</a>,
2012.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>32</label><mixed-citation>
Neugebauer, P. and Barra, A.-L.: New cavity design for broad-band
quasi-optical HF-EPR spectroscopy, Appl. Magn. Reson., 37, 833–843,
<a href="https://doi.org/10.1007/s00723-009-0092-5" target="_blank">https://doi.org/10.1007/s00723-009-0092-5</a>, 2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>33</label><mixed-citation>
Neumann, M.: The dielectric constant of water – computer simulations with
the MCY potential, J. Chem. Phys., 82, 5663–5672, <a href="https://doi.org/10.1063/1.448553" target="_blank">https://doi.org/10.1063/1.448553</a>,
1985.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>34</label><mixed-citation>
Olsson, L. E., Chai, C.-M., Axelsson, O., Karlsson, M., Golman, K., and
Petersson, J. S.: MR coronary angiography in pigs with intraarterial
injections of a hyperpolarized <sup>13</sup>C substance, Magn. Reson. Med., 55,
731–737, <a href="https://doi.org/10.1002/mrm.20847" target="_blank">https://doi.org/10.1002/mrm.20847</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>35</label><mixed-citation>
Perazella, M. A.: Current status of gadolinium toxicity in patients with
kidney disease, Clin. J. Am. Soc. Nephrol., 4, 461–469,
<a href="https://doi.org/10.2215/CJN.06011108" target="_blank">https://doi.org/10.2215/CJN.06011108</a>, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>36</label><mixed-citation>
Pileio, G., Concistre, M., Carravetta, M., and Levitt, M.: Long-lived
nuclear spin states in the solution NMR of four-spin systems, J. Magn.
Reson., 182, 353–357, <a href="https://doi.org/10.1016/j.jmr.2006.06.034" target="_blank">https://doi.org/10.1016/j.jmr.2006.06.034</a>, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>37</label><mixed-citation>
Poole Jr., C. P.: Electron Spin Resonance: A Comprehensive Treatise on
Experimental Techniques, Wiley, New York, USA, 1967.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>38</label><mixed-citation>
Prisner, T. F., Un, S., and Griffin, R. G.: Pulsed ESR at 140&thinsp;GHz, Isr. J.
Chem., 32, 357–363, <a href="https://doi.org/10.1002/IJCH.199200042" target="_blank">https://doi.org/10.1002/IJCH.199200042</a>, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>39</label><mixed-citation>
Rinard, G. A. and Eaton, G. R.: Loop-Gap Resonators, in: Biological Magnetic Resonance, edited by: Berliner, L. J., v. 24, Wiley, New York, USA, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>40</label><mixed-citation>
Salerno, M., Altes, T. A., Mugler, J. P., Nakatsu, M., Hatabu, H., and de
Lange, E. E.: Hyperpolarized noble gas MR imaging of the lung: potential
clinical applications, Eur. J. Radiol., 40, 33–44,
<a href="https://doi.org/10.1016/S0720-048X(01)00347-3" target="_blank">https://doi.org/10.1016/S0720-048X(01)00347-3</a>, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>41</label><mixed-citation>
Semelka, R. C., Ramalho, M., Al Obaidy, M., and Ramalho, J.: Gadolinium in
Humans: A Family of Disorders, Am. J. Roentgenol., 207, 229–233,
<a href="https://doi.org/10.2214/AJR.15.15842" target="_blank">https://doi.org/10.2214/AJR.15.15842</a>, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>42</label><mixed-citation>
Smirnov, A. I. and Smirnova, T. I.: Resolving domains of interdigitated
phospholipid membranes with 95&thinsp;GHz spin labeling EPR, Appl. Magn. Reson.,
21, 453–467, <a href="https://doi.org/10.1007/BF03162420" target="_blank">https://doi.org/10.1007/BF03162420</a>, 2001.

</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>43</label><mixed-citation>
Thomsen, H. S.: Is NSF only the tip of the “gadolinium toxicity” iceberg?,
J. Magn. Reson. Imag., 28, 284–286, <a href="https://doi.org/10.1002/jmri.21478" target="_blank">https://doi.org/10.1002/jmri.21478</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>44</label><mixed-citation>
Topcuoglu, E., Topcuoglu, M., Oysu, M., and Bukte, M.: Does gadoterate
meglumine cause gadolinium retention in the brain of children? A
case–control study, J. Magn. Reson. Imag., 51, 1471–1477,
<a href="https://doi.org/10.1002/jmri.26954" target="_blank">https://doi.org/10.1002/jmri.26954</a>, 2020.
</mixed-citation></ref-html>
<ref-html id="bib1.bib45"><label>45</label><mixed-citation>
van Tol, J., Brunel, L.-C., and Wylde, R. J.: A quasioptical transient
electron spin resonance spectrometer operating at 120 and 240&thinsp;GHz, Rev. Sci.
Instrum., 76, 074101, <a href="https://doi.org/10.1063/1.1942533" target="_blank">https://doi.org/10.1063/1.1942533</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib46"><label>46</label><mixed-citation>
Westbrook, K., Caut-Roth, K., and Talbot, J.: MRI in practice,
Wiley-Blackwell, Chichester, UK, 2011.
</mixed-citation></ref-html>--></article>
