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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Phys.</journal-id>
<journal-title>Frontiers in Physics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Phys.</abbrev-journal-title>
<issn pub-type="epub">2296-424X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">759749</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2022.759749</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Simultaneous Dual Echo Gadolinium Enhanced MR-PET for Evaluation of PET Tracer Delivery in Altered Pathophysiology</article-title>
<alt-title alt-title-type="left-running-head">Cowin et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Dual Echo Gadolinium Enhanced MR-PET</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Cowin</surname>
<given-names>Gary J</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/233935/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Mardon</surname>
<given-names>Karine</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1714175/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Houston</surname>
<given-names>Zachary H.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Bhalla</surname>
<given-names>Rajiv</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/754249/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Stimson</surname>
<given-names>Damion H. R.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1677722/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Thurecht</surname>
<given-names>Kristofer J.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1714837/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Brereton</surname>
<given-names>Ian M.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1689761/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>National Imaging Facility</institution>, <institution>Centre for Advanced Imaging</institution>, <institution>University of Queensland</institution>, <addr-line>Brisbane</addr-line>, <addr-line>QLD</addr-line>, <country>Australia</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Centre for Advanced Imaging</institution>, <institution>University of Queensland</institution>, <addr-line>Brisbane</addr-line>, <addr-line>QLD</addr-line>, <country>Australia</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Australian Institute for Bioengineering and Nanotechnology</institution>, <institution>ARC Centre of Excellence in Convergent BioNano Science and Technology and ARC Training Centre in Biomedical Imaging Technology</institution>, <institution>University of Queensland</institution>, <addr-line>Brisbane</addr-line>, <addr-line>QLD</addr-line>, <country>Australia</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/205534/overview">Timothy John Stait-Gardner</ext-link>, Western Sydney University, Australia</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/99667/overview">David B. Stout</ext-link>, Independent researcher, Culver City,United&#x20;States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/115242/overview">Jon Shah</ext-link>, Helmholtz Association of German Research Centres (HZ), Germany</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Gary J Cowin, <email>g.cowin@uq.edu.au</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Medical Physics and Imaging, a section of the journal Frontiers in Physics</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>21</day>
<month>03</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>759749</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>08</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>11</day>
<month>02</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Cowin, Mardon, Houston, Bhalla, Stimson, Thurecht and Brereton.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Cowin, Mardon, Houston, Bhalla, Stimson, Thurecht and Brereton</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>Efficacy of diagnostics and therapeutics for brain tumours can be modulated by vascular delivery and blood brain barrier permeability. Simultaneous dynamic gadolinium MR-PET enables independent assessment of vascular delivery and blood brain barrier integrity in a brain tumour animal model in the presence of a PET tracer.</p>
<p>Dual echo dynamic gadolinium enhanced gradient echo imaging allows simultaneous calculation of T<sub>2</sub>&#x2a; and T<sub>1</sub> images from the TE image pairs. Relaxivity values then enabled determination of independent T<sub>2</sub>&#x2a;- and T<sub>1</sub>-derived gadolinium concentrations simultaneously with measurement of [<sup>18</sup>F]DPA-714 neuroinflammation radiotracer delivery.</p>
<p>Separate T<sub>2</sub>&#x2a;- and T<sub>1</sub>-derived gadolinium concentrations curves were derived in a selection of tumours and normal tissue, reflecting vascular delivery and tissue uptake. Changes in the PET activity curves were seen in tumours and normal tissue, reflecting changes in the MR derived dynamic curves. The dramatic changes in the MR-derived vascular delivery and tissue uptake estimates may improve the understanding of the alteration of delivery and uptake of new theranostic agents.</p>
</abstract>
<kwd-group>
<kwd>MR-PET</kwd>
<kwd>gadolinium contrast agents</kwd>
<kwd>PET tracer delivery</kwd>
<kwd>T2&#x2217;</kwd>
<kwd>T1</kwd>
<kwd>blood brain barrier</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>The measured activity of a diagnostic or therapeutic positron emission tomography (PET) tracer can be modulated by vascular delivery, transport into and out of the tissue, specific and non-specific binding of the radiotracer and metabolism, particularly in the brain where the blood brain barrier (BBB) strongly regulates transport from the vasculature to the neural tissue [<xref ref-type="bibr" rid="B1">1</xref>]. Tumour growth is accompanied by neovascular development and compromised BBB integrity. These effects can dramatically change the transport of candidate diagnostics and therapeutics and contribute to the effectiveness of new treatments, with recent data demonstrating that nanomedicine accumulation is related to vascular leakiness, rather than tumour volume alone&#x20;[<xref ref-type="bibr" rid="B2">2</xref>].</p>
<p>Kinetic analysis of PET tracers requires determination of the time dependent change in tracer activity in the blood (input function). This is challenging in rodents, particularly mice, as methods often require blood sampling and/or surgical procedures, and imaging methods are limited by the low resolution of PET [<xref ref-type="bibr" rid="B3">3</xref>]. The higher spatial and temporal resolution of magnetic resonance imaging (MRI) has potential to allow MR image derived arterial input function (AIF) for PET pharmacokinetic modelling&#x20;[<xref ref-type="bibr" rid="B4">4</xref>].</p>
<p>The change in MR image intensity during contrast-enhanced magnetic resonance imaging (MRI) is not linearly related to the Gadolinium (Gd) concentration over a large concentration range, particularly when the image contrast is a mix of T1, T2 and/or T2&#x2a; weighting. For comparison, in nuclear imaging methods like PET, the image intensity observed is in units of radioactivity that are directly related to the activity of tracer present. Lower concentrations of Gd produces T<sub>1</sub> shortening resulting in signal enhancement in T<sub>1</sub> weighted images, as used in dynamic contrast enhanced (DCE) MRI [<xref ref-type="bibr" rid="B5">5</xref>]. For higher Gd concentrations, T<sub>2</sub> and T<sub>2</sub>&#x2a; shortening dominate, decreasing the signal, ultimately nulling at high concentrations, as exploited in dynamic susceptibility (DSC) MRI [<xref ref-type="bibr" rid="B6">6</xref>]. Typically, imaging sequences are optimised for only one contrast, T<sub>1</sub> or T<sub>2</sub>&#x2a;, dependent on the type of perfusion regime being investigated [<xref ref-type="bibr" rid="B7">7</xref>]. Dual echo gradient echo MRI enables T<sub>1</sub> and T<sub>2</sub>&#x2a; changes to be calculated simultaneously [<xref ref-type="bibr" rid="B8">8</xref>]. Therefore, we move from acquiring separate T<sub>1</sub> or T<sub>2</sub>&#x2a; contrast images to simultaneously calculating T<sub>1</sub> and T<sub>2</sub>&#x2a; images from gradient echo image pairs with TE &#x3d; 3 and 6&#xa0;ms. This allows parallel changes in vascular delivery and tissue uptake to be determined, which was not possible previously.</p>
<p>The aim of this study was to demonstrate independent measurement of MR derived vascular delivery and tissue uptake simultaneously with the PET tracer [<sup>18</sup>F]DPA-714 [<xref ref-type="bibr" rid="B9">9</xref>] in a mouse model of glioblastoma. This was demonstrated using a selection of mice with glioblastoma tumours at different stages of progression.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>Materials and Methods</title>
<sec id="s2-1">
<title>Animal Model and Preparation</title>
<p>The mouse model of spontaneous developing glioblastoma was sourced from a colony at the Queensland Brain Institute, University of Queensland. The model was prepared by crossing Gt(ROSA)26So<sup>rtm14(CAG-tdTomato)Hze</sup> 20023653 with Pten<sup>tm2MAK</sup>; Rb1<sup>tm2Brn</sup>; Trp53<sup>tm1Brn</sup>; Tg(GFAP-cre/Esr1&#x2a;,- lacZ)BSbk (alleles) and backcrossed six generations to latter mice to generate the high grade glioma mouse model [<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B10">10</xref>]. All experiments were approved by the University of Queensland Animal Ethics Committee and followed the Australian Code of Practice for Use of Animals for Scientific Purposes (AIBN/142/19/UQ).</p>
<p>Anaesthetised mice were cannulated in the tail vein using 55&#xa0;cm of tygon tubing (ID 0.01 inch, OD 0.03 inch) with just the metal needle from a 30G needle on one end and an inserted 30G needle on the other end. Imaging was performed with a combined MR-PET system, comprising a 300&#xa0;mm bore 7T ClinScan MR scanner (Bruker, Germany), running Siemens VB17, with a removable PET insert (Bruker, Germany) containing 3 rings of 16 detector blocks with 15&#x20;&#xd7; 15 LSO crystals (1.6 &#xd7; 1.6 &#xd7; 10&#xa0;mm) per block, located at the centre of the magnet bore. The scanner was operated under Siemens Inveon Acquisition Workplace (IAW, version 1.5.0.28). The animal was placed on an animal bed warmed with recirculating water and a 23&#xa0;mm ID MRI RF coil inside the PET ring was used to acquire MR images simultaneously with the PET acquisition. A single syringe was prepared and connected to the cannula containing approximately 10 MBq of [<sup>18</sup>F]DPA-714 [<xref ref-type="bibr" rid="B9">9</xref>] tracer solution, 50&#xa0;&#xb5;L Gadovist (Bayer, Germany) and saline/10% ethanol to give a total volume of 200&#xa0;&#xb5;L.</p>
</sec>
<sec id="s2-2">
<title>MR-PET</title>
<p>Following MRI localiser images, a 60&#xa0;min PET acquisition was started simultaneously with dynamic spoiled gradient echo (GRE) image acquisition with the following parameters: pulse angle &#x3d; 45&#xb0;, 6&#x20;&#xd7; 1&#xa0;mm slices, FOV &#x3d; 20&#x20;&#xd7; 20&#xa0;mm, in-plane resolution &#x3d; 313&#x20;&#xd7; 313&#xa0;&#x3bc;m, TR &#x3d; 75&#xa0;ms, TE &#x3d; 3 and 6&#xa0;ms, acquisition time &#x3d; 3.6&#xa0;s, 200 measurements. After a 2&#xa0;min baseline period the combined PET tracer and Gadovist solution was injected by hand over approximately 5&#xa0;s, with no&#x20;flush.</p>
<p>Following the dynamic GRE images, high resolution transverse and sagittal T<sub>2</sub> turbo spin echo (TSE) anatomical images were acquired with the following parameters: 19&#x20;&#xd7; 0.6&#xa0;mm slices, FOV &#x3d; 25&#x20;&#xd7; 18.74 mm, in-plane resolution &#x3d; 98&#x20;&#xd7; 98&#xa0;&#x3bc;m, TR &#x3d; 2,200&#xa0;ms, TE &#x3d; 35&#xa0;ms, averages &#x3d; 2, acquisition time &#x3d; 4:11 and then coronal with the following parameters: 23&#x20;&#xd7; 0.6&#xa0;mm slices, FOV &#x3d; 20&#x20;&#xd7; 20&#xa0;mm, in-plane resolution &#x3d; 104&#x20;&#xd7; 104&#xa0;&#x3bc;m, TR &#x3d; 2,650&#xa0;ms, TE &#x3d; 35&#xa0;ms, averages &#x3d; 2, acquisition time &#x3d; 5:02. Another block of 20 GRE dynamic measurements was then acquired.</p>
<p>Next, anatomical transverse and sagittal T<sub>1</sub> weighted TSE images with the following parameters: 19&#x20;&#xd7; 0.6&#xa0;mm slices, FOV &#x3d; 19&#x20;&#xd7; 18.74 mm, in-plane resolution &#x3d; 78&#x20;&#xd7; 78&#xa0;&#x3bc;m, TR &#x3d; 600&#xa0;ms, TE &#x3d; 13&#xa0;ms, turbo factor &#x3d; 7, averages &#x3d; 3, acquisition time &#x3d; 5:21 and coronal images with parameters: 25&#x20;&#xd7; 0.6&#xa0;mm slices, FOV &#x3d; 25&#x20;&#xd7; 20.75&#xa0;mm in-plane resolution &#x3d; 78&#x20;&#xd7; 78&#xa0;&#x3bc;m, TR &#x3d; 600&#xa0;ms, TE &#x3d; 13&#xa0;ms, turbo factor &#x3d; 7, averages &#x3d; 3, acquisition time &#x3d; 8:07 were acquired with the same geometric positioning as the T<sub>2</sub> TSE images.</p>
<p>Following acquisition of fl3d_swi and fl3d_dixon images (not reported in this paper), a final set of 20 GRE dynamic measurements was then acquired. Therefore, dynamic scans extended for 60&#xa0;min post injection.</p>
<p>At the end of the imaging, the cannula radioactivity was measured and decay corrected to allow calculation of the injected dose. PET data was reconstructed using a dedicated PET reconstruction software developed by the University of T&#xfc;bingen. PET images with a matrix of 89&#x20;&#xd7; 128&#x20;&#xd7; 128 and field-of-view &#x3d; 68&#x20;&#xd7; 90&#x20;&#xd7; 90&#xa0;mm were reconstructed using the ordered-subset expectation maximization (OSEM2D) algorithm with 3&#x20;&#xd7; 30&#xa0;s, 15&#x20;&#xd7; 10&#xa0;s, 11&#x20;&#xd7; 60&#xa0;s and 9&#x20;&#xd7; 300&#xa0;s time frames for 60&#xa0;min. MRI and PET datasets were aligned using Siemens Inveon Research Workplace (IRW, version 4.2.0.8) software employing a standard transformation matrix.</p>
</sec>
<sec id="s2-3">
<title>Image Processing</title>
<p>HOROS (<ext-link ext-link-type="uri" xlink:href="http://www.horosproject.org/">www.horosproject.org</ext-link>) was used for MRI region-of-interest (ROI) drawing and output. On the central slice of the tumour, one ROI was positioned within tumour tissue taking care to avoid the susceptibility effect at the edge of the brain. The high resolution T<sub>1</sub> and T<sub>2</sub> image sets were used for placement of the tumour ROIs. The tumours with low enhancement on the T<sub>1</sub> images (<xref ref-type="fig" rid="F1">Figures 1C&#x2013;E</xref>) were more easily visualised on the T<sub>2</sub> TSE images. The ROI placements were then checked on the TE &#x3d; 6&#xa0;ms images, both before and after Gd injection, to ensure the ROI regions of the images were not distorted due to susceptibility effects. A second ROI was positioned in the thalamus to represent normal brain tissue (<xref ref-type="fig" rid="F1">Figure&#x20;1</xref>). The ROIs were then propagated to all time point images, exported as csv files and imported into excel for calculations.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>T<sub>1</sub>_TSE_Tra images showing variable tumour growth and gadolinium enhancement in the tumour (red ROI) and in the thalamus (yellow ROI) for mouse 1-5, <bold>(A&#x2013;E)</bold> respectively.</p>
</caption>
<graphic xlink:href="fphy-10-759749-g001.tif"/>
</fig>
<p>Calculation of the gadolinium concentration derived independently from T<sub>2</sub>&#x2a; and T<sub>1</sub> time changes were determined from equations modified as previously described [<xref ref-type="bibr" rid="B8">8</xref>], using TE1 &#x3d; 3&#xa0;ms and TE2 &#x3d; 6&#xa0;ms, TR &#x3d; 75&#xa0;ms, pulse angle &#x3d; 45&#xb0;, r2&#x2a; &#x3d; 6.35&#xa0;s<sup>&#x2212;1</sup>&#xa0;mM<sup>&#x2212;1</sup> and r1 &#x3d; 6.1&#xa0;s<sup>&#x2212;1</sup>&#xa0;mM<sup>&#x2212;1</sup> (Gadovist solutions at 7.0&#xa0;T), A &#x3d; mean ROI intensity (TE &#x3d; 3&#xa0;ms) and B &#x3d; mean ROI intensity (TE &#x3d; 6&#xa0;ms), M<sub>o</sub>sin&#x3b1; &#x3d;&#x20;2,700.</p>
<p>The T<sub>2</sub>&#x2a; was calculated using:<disp-formula id="equ1">
<mml:math id="m1">
<mml:mrow>
<mml:msubsup>
<mml:mtext>T</mml:mtext>
<mml:mn>2</mml:mn>
<mml:mo>&#x2217;</mml:mo>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>E</mml:mi>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>n</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mi>A</mml:mi>
<mml:mi>B</mml:mi>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>The T<sub>2</sub>&#x2a; derived concentration was then calculated using:<disp-formula id="equ2">
<mml:math id="m2">
<mml:mrow>
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<mml:mn>2</mml:mn>
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<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>c</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
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<mml:mo>(</mml:mo>
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<mml:mn>2</mml:mn>
<mml:mrow>
<mml:mo>&#x2217;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
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<mml:mn>1</mml:mn>
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<mml:mi>b</mml:mi>
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</mml:mrow>
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<mml:mo>)</mml:mo>
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<mml:mn>2</mml:mn>
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</disp-formula>
</p>
<p>The baseline values were determined by averaging data points 3&#x2013;12 during the baseline period before the Gd injection.</p>
<p>The T<sub>1</sub> was calculated for TE &#x3d; 3 and 6&#xa0;ms image pairs using the following equations:<disp-formula id="equ3">
<mml:math id="m3">
<mml:mrow>
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<mml:mi>A</mml:mi>
<mml:mi>B</mml:mi>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mtext>M</mml:mtext>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mo>&#xa0;</mml:mo>
</mml:msubsup>
<mml:mtext>&#xa0;</mml:mtext>
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<mml:mtext>&#xa0;sin</mml:mtext>
<mml:mo>&#x221d;</mml:mo>
<mml:mtext>&#xa0;</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ4">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#xf7;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>&#xa0;</mml:mo>
<mml:mo>&#xf7;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mrow>
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<mml:mrow>
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</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>The T<sub>1</sub> derived concentration was then calculated using:<disp-formula id="equ5">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mn>1</mml:mn>
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<mml:mrow>
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<mml:mrow>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msubsup>
<mml:mtext>T</mml:mtext>
<mml:mn>1</mml:mn>
<mml:mo>&#xa0;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>&#xa0;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msubsup>
<mml:mtext>T</mml:mtext>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
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<mml:mn>1</mml:mn>
</mml:mrow>
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</disp-formula>
</p>
<p>The <xref ref-type="app" rid="app1">Appendix</xref> contains the equations expressed in a form that can be pasted into excel to perform the calculations from TE &#x3d; 3&#xa0;ms and TE &#x3d; 6&#xa0;ms image pairs. The values were then expressed as change from the baseline and 3 point floating averaging was applied.</p>
<p>Prism 8 software (GraphPad Software, United&#x20;States) was used for plotting the&#x20;data.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec id="s3-1">
<title>Tumour Growth and Enhancement</title>
<p>Spontaneous brain tumours 5&#x20;months post induction displayed variable size and T<sub>1</sub> gadolinium enhancement (<xref ref-type="fig" rid="F1">Figure&#x20;1</xref>). Similar to tumour growth in humans, the model was extremely heterogenous in growth rates and not all animals produced a tumour. The tumours produced included a large tumour with strong Gd enhancement (<xref ref-type="fig" rid="F1">Figure&#x20;1A</xref>), a large tumour with reduced Gd enhancement (<xref ref-type="fig" rid="F1">Figure&#x20;1B</xref>), and three slow growing tumours with weak Gd enhancement (<xref ref-type="fig" rid="F1">Figures 1C&#x2013;E</xref>). The T<sub>2</sub> weighted images provided easier visualisation of the tumours with weak enhancement. This allowed the potential of the dual echo method to measure changes in physiology during tumour growth to be assessed.</p>
</sec>
<sec id="s3-2">
<title>Normal Tissue</title>
<p>Firstly, we compared Gd and PET data from the thalamus region as control tissue in all mice. A rapid initial increase and subsequent decrease in the T<sub>2</sub>&#x2a;-derived Gadovist concentration (<xref ref-type="fig" rid="F2">Figure&#x20;2A</xref>) is consistent with vascular Gd bolus passing through the tissue and then equilibrating throughout the total blood volume. The slower uptake and gradual decrease observed in the T<sub>1</sub>-derived Gadovist concentration curve (<xref ref-type="fig" rid="F2">Figure&#x20;2B</xref>) is consistent with Gadovist crossing the BBB and entering the brain tissue [<xref ref-type="bibr" rid="B5">5</xref>]. [<sup>18</sup>F]DPA-714 thalamus time activity curve (TAC) displayed a rapid increase followed by a decrease (<xref ref-type="fig" rid="F2">Figure&#x20;2C</xref>) in activity. Plots were consistent for mice 1, 3, 4 and 5 with lower T<sub>2</sub>&#x2a; and TAC curves for mouse&#x20;2.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Gadovist thalamus derived concentration derived from the changes in: <bold>(A)</bold> T<sub>2</sub>&#x2a;; <bold>(B)</bold> T<sub>1</sub>; <bold>(C)</bold> thalamus time activity curve representing the uptake of [<sup>18</sup>F]DPA-714 as standard uptake value normalised to body weight (SUV-BW). Mouse 1-red, mouse 2-green, mouse 3-blue, mouse 4 black and mouse 5-purple.</p>
</caption>
<graphic xlink:href="fphy-10-759749-g002.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>Poor Injection</title>
<p>The T<sub>2</sub>&#x2a; concentration curve for mouse 2 was below the other four animals (<xref ref-type="fig" rid="F2">Figures 2A</xref>, <xref ref-type="fig" rid="F3">3E</xref>, green data). Increased resistance during intravenous dose injection was noted, consistent with poor cannulation and the solution entering the tail tissue instead of the tail vein. This illustrates the power of the T<sub>2</sub>&#x2a; derived Gd concentration to ensure cannulation consistency in group studies where animals with decreased agent delivery can be excluded from further analysis. The decreased Gd delivery to the normal tissue was also reflected in the decreased activity of the PET tracer activity curve (<xref ref-type="fig" rid="F2">Figure&#x20;2C</xref>), illustrating the parallel changes in both Gd and PET dynamic tracer injection. The PET dynamic curve of mouse 2 was flat compared to the decrease in intensity post bolus of the other mice consistent with slow release of the tracer injected into the tail tissue, rather than the vein. The T<sub>1</sub> derived Gd concentrations curves (<xref ref-type="fig" rid="F2">Figure&#x20;2B</xref>) reflect tissue uptake of Gd and were grouped together. This is consistent with the intact blood brain barrier restricting transport of the Gadovist from the blood into the brain tissue. The reduced vascular delivery in mouse 2 did not appear to alter the normal tissue uptake of Gadovist. The decreased intensity of the Gd and PET tracer curves in the normal tissue of mouse 2, was not exhibited in the tumour tissue of mouse 2, as discussed&#x20;below.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Gadovist concentration derived from the changes in: <bold>(A)</bold> T<sub>2</sub>&#x2a;; <bold>(B)</bold> T<sub>1</sub>; <bold>(C)</bold> first 10&#xa0;min of T<sub>2</sub>&#x2a; derived Gadovist concentration in the tumour <bold>(D)</bold> expanded scale of T<sub>1</sub> derived Gadovist concentration of mice 3, 4, and 5; <bold>(E)</bold> first 10&#xa0;min of T<sub>2</sub>&#x2a; derived Gadovist concentration in the thalamus <bold>(F)</bold> tumour time activity curve for [<sup>18</sup>F]DPA-714. For mouse 1 in <bold>(B)</bold>, the maximum calculated value was &#x223c;5,000&#xa0;nmol, above which the calculation failed. Mouse 1-red, mouse 2-green, mouse 3-blue, mouse 4 black and mouse 5-purple.</p>
</caption>
<graphic xlink:href="fphy-10-759749-g003.tif"/>
</fig>
</sec>
<sec id="s3-4">
<title>Tumour Tissue</title>
<p>The tumour tissue in mice 1 and 2 both displayed dramatically enhanced T<sub>2</sub>&#x2a; (<xref ref-type="fig" rid="F3">Figure&#x20;3A</xref>) and T<sub>1</sub> (<xref ref-type="fig" rid="F3">Figure&#x20;3B</xref>) derived concentration curves relative to corresponding thalamus curves (<xref ref-type="fig" rid="F2">Figures 2A,B</xref>) and compared to the tumour tissue in mice 3, 4, and 5. Mice 3, 4 and 5 showed modest increases in T<sub>2</sub>&#x2a; and T<sub>1</sub> derived concentrations in the tumours (<xref ref-type="fig" rid="F3">Figure&#x20;3C</xref>) compared to the normal thalamus tissue (<xref ref-type="fig" rid="F3">Figure&#x20;3E</xref>).</p>
<p>The extent of the dramatic increase of delivery and uptake of Gadovist in the two large tumours was not evident in the time activity curves representing the tumour uptake of [<sup>18</sup>F]DPA-714 (<xref ref-type="fig" rid="F3">Figure&#x20;3F</xref>). For example, at 10&#xa0;min the T2&#x2a; curve for the tumour in mouse 2 is approximately 8&#x20;times the other curves (<xref ref-type="fig" rid="F3">Figure&#x20;3A</xref>), yet the TAC curve is only about double the other curves (<xref ref-type="fig" rid="F3">Figure&#x20;3F</xref>). The TAC for the tumour in mouse 2 was similar in intensity to the other three tumours (<xref ref-type="fig" rid="F3">Figure&#x20;3F</xref>), despite a higher bolus (<xref ref-type="fig" rid="F3">Figure&#x20;3A</xref>) and the TAC amplitude being of less than half the intensity in the thalamus compared to the other&#x20;mice.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>Gd enhanced MRI typically follows changes in image contrast using standard T<sub>1</sub>, T<sub>2</sub> or T<sub>2</sub>&#x2a; contrast. Dual echo imaging progresses this to calculation of unique gadolinium concentrations from T<sub>1</sub> and T<sub>2</sub>&#x2a; changes with time. This can provide novel insights into differences in the vascular delivery and BBB permeability as demonstrated in the spontaneous developed brain tumours. Changes in T<sub>2</sub>&#x2a; and T<sub>1</sub> were independently determined from images acquired with two&#xa0;TE values. The resulting relaxivity values were used to calculate the concentration derived from the T<sub>2</sub>&#x2a; and T<sub>1</sub> values. Using these data, the tumours in mice 1 and 2 showed dramatically enhanced vascular delivery and tissue uptake of Gadovist. The tumours in mice 3, 4 and 5 illustrated moderately increased delivery and tissue uptake of Gadovist.</p>
<p>The choice of TE values is dependent on the concentration of Gd used and expected changes in Gd uptake. A larger difference in TE values makes the procedure more sensitive to changes in T<sub>2</sub>&#x2a; changes. However, increased TE values result in stronger magnetic susceptibility effects and image distortion, particularly at brain boundaries near air cavities. Depending on the MR system capability, a pair of shorter TE values may be beneficial, particularly for mice. Larger animals may be suitable for longer TE values and a lower Gd volume compared to blood volume. The temporal resolution of 3.6&#xa0;s provided approximately 4 data points to define the initial increase of the bolus. Both increasing the image resolution or number of slices decreases the temporal resolution.</p>
<p>The determination of localised arterial input function from vascular T<sub>2</sub>&#x2a; derived concentrations would allow PET parametric calculations [<xref ref-type="bibr" rid="B4">4</xref>] for specific tissue or region of interest [<xref ref-type="bibr" rid="B11">11</xref>]. To achieve this goal, <italic>in vivo</italic> determination of the Gadovist relaxivity values is required, rather than solution-derived values, as used in this study. MR-PET allows simultaneous quantification of a MR contrast agent and a PET surrogate e.g., using copper-64 [<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B13">13</xref>] or Yttrium-68 [<xref ref-type="bibr" rid="B14">14</xref>], as the gold standard for <italic>in vivo</italic> quantification. Initial reports indicate <italic>in vivo</italic> relaxivity values are lower than in solution [<xref ref-type="bibr" rid="B15">15</xref>]. MR-PET can be used to gain a greater understanding of how the relaxivity values change in the different organs and under different pathological conditions. This is critical for accurate quantification of gadolinium contrast agent concentrations <italic>in vivo.</italic> Targeted MR-PET experiments are required to investigate relaxivity values and concentration linearity in normal and pathological tissue. This will greatly improve the quantitative potential of MRI measurements.</p>
<p>The calculation of the two T<sub>1</sub> and T<sub>2</sub>&#x2a; concentrations from the TE image pairs allows altered tissue haemodynamics and perfusion to be measured within the tissue, not in a remote vessel. Subtle BBB transport changes are discernible from T<sub>1</sub> changes, as observed for mice 3&#x2013;5 (<xref ref-type="fig" rid="F3">Figure&#x20;3D</xref>). Areas of extreme extravasation [<xref ref-type="bibr" rid="B16">16</xref>], mouse 1, are indicated by T<sub>2</sub>&#x2a; changes. Ischaemia, blocking tracer delivery, or hyperperfusion can be easily assessed by&#x20;MRI.</p>
<p>Despite being simultaneously injected from a single syringe, the very large changes in Gd tumour delivery and uptake were not mirrored with the PET tracer tested in these pilot animals. Future experiments, incorporating blocking studies or cold washout are required to better understand the consequences of the changes in MR derived delivery and tissue uptake upon accumulation of the PET tracers, particularly in pathological tissue as illustrated by mice 1 and 2. The structural difference of Gadovist and DPA714 may also contribute to the differences observed between the MR and PET dynamic curves. Future experiments with structurally similar or identical MR contrast agents and PET tracers are also required to understand this observation.</p>
<p>As the Gd enhanced MR measures are non-targeted, this may also enable unique insights into non-specific uptake of PET tracers. Larger studies are required to investigate the reproducibility of the results and how the methodology, including Gd concentrations and acquisition parameters modulates the calculation of the T<sub>1</sub> and T<sub>2</sub>&#x2a; derived concentrations.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>Conclusion</title>
<p>Simultaneous dual echo MR-PET was shown to enable parallel and independent estimation of vascular (T<sub>2</sub>&#x2a; derived) and tissue (T<sub>1</sub> derived) concentration curves for Gadovist in mice. This allows greater temporal resolution for both parameters, which would normally be determined with separate T<sub>1</sub> or T<sub>2</sub>&#x2a; contrast image sets. This approach can be developed further to improve the understanding of pathological changes in tissue and how this affects theranostic and PET tracer accumulation for neurological studies.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusion of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Ethics Statement</title>
<p>The animal study was reviewed and approved by University of Queensland.</p>
</sec>
<sec id="s8">
<title>Author Contributions</title>
<p>All authors designed the study. GC, KM and ZH performed the imaging experiments. RB and DHRS performed the radiochemistry. GC performed the analysis of the data and drafted the paper with review by all authors.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of Interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s Note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<ack>
<p>The authors acknowledge the facilities, and the scientific and technical assistance of the National Imaging Facility at the Centre for Advanced Imaging, University of Queensland and National Collaborative Research Infrastructure Strategy (NCRIS). The authors would like to thank Michael Kassiou for providing the DPA-714 precursor and Jens Bunt, Phillip Janowicz and Professor Linda Richards for the mouse&#x20;model.</p>
</ack>
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<app-group>
<app id="app1">
<title>APPENDIX</title>
<p>Calculation of dual echo, using TE &#x3d; 3 and 6&#xa0;ms, T2&#x2a;, T1 and T<sub>2</sub>&#x2a; and T<sub>1</sub> derived Gadovist concentration in excel:</p>
<p>The following equations can be copied and pasted into excel to calculate the gadolinium concentrations where A &#x3d; intensity for TE &#x3d; 3&#xa0;ms ROI and B &#x3d; intensity for TE &#x3d; 6&#xa0;ms ROI and the parameters listed in the methods. These equations can only be applied when TE2 is twice TE1, e.g., using TE2 &#x3d; 6&#xa0;ms and TE1 &#x3d; 3&#xa0;ms. The baseline values were determined by averaging data points 3-12 during the baseline period before the Gd injection.</p>
<p>T<sub>2</sub>
<sup>&#x2217;</sup> calculations:<disp-formula id="equ6">
<mml:math id="m6">
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>&#x2217;</mml:mo>
</mml:msubsup>
<mml:mtext>&#xa0;</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>&#x2217;</mml:mo>
</mml:msubsup>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">derived</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">gadovist</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">concentration</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
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<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mrow>
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<mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mrow>
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<mml:mrow>
<mml:mrow>
<mml:mrow>
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<mml:mi mathvariant="normal">T</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>&#x2217;</mml:mo>
</mml:msubsup>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mn>1000</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
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<mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
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<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mrow>
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<mml:mi mathvariant="normal">T</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>&#x2217;</mml:mo>
</mml:msubsup>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mn>1000</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mn>6.35</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>Where 6.35&#xa0;s<sup>&#x2212;1</sup>&#xa0;mM<sup>&#x2212;1</sup> equals the T<sub>2</sub>
<sup>&#x2217;</sup> relaxivity determined at 7T determined on the 7T Clinscan used in the study. The 1,000 converts ms to s to match the units of the relaxivity.</p>
<p>T<sub>1</sub> calculations:<disp-formula id="equ8">
<mml:math id="m8">
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</mml:mrow>
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<mml:mrow>
<mml:mrow>
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<mml:mrow>
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<mml:mrow>
<mml:mrow>
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<mml:mo>/</mml:mo>
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</mml:mrow>
</mml:mrow>
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</mml:mrow>
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<mml:mo>/</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:mrow>
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</mml:mrow>
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</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>Where C &#x3d; M<sub>o</sub>sin&#x3b1; &#x3d; 2,700.<disp-formula id="equ9">
<mml:math id="m9">
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</mml:mrow>
</mml:math>
</disp-formula>Where Ae is the average baseline intensity and we used baseline brain values of T<sub>1</sub> &#x3d; 2000&#xa0;ms, and T<sub>2</sub>&#x2a; &#x3d; 40&#xa0;ms<disp-formula id="equ10">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">derived</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">Gadovist</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">concentration</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mn>1000</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mn>1000</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>/</mml:mo>
<mml:mrow>
<mml:mn>6.1</mml:mn>
</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>Where 6.1&#xa0;s<sup>&#x2212;1</sup>&#xa0;mM<sup>&#x2212;1</sup> equals the T<sub>1</sub> relaxivity determined at 7T determined on the 7T Clinscan used in the study. The 1,000 converts ms to s to match the units of the relaxivity.</p>
</app>
</app-group>
</back>
</article>