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<article article-type="research-article" dtd-version="2.3" xml:lang="EN" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Transpl Int</journal-id>
<journal-title>Transplant International</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Transpl Int</abbrev-journal-title>
<issn pub-type="epub">1432-2277</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">12982</article-id>
<article-id pub-id-type="doi">10.3389/ti.2024.12982</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Health Archive</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>
<italic>Ex Situ</italic> Left Ventricular Pressure-Volume Loop Analyses for Donor Hearts: Proof of Concept in an Ovine Experimental Model</article-title>
<alt-title alt-title-type="left-running-head">Ertugrul et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<italic>Ex Situ</italic> Pressure-Volume Loop Analyses</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ertugrul</surname>
<given-names>I. A.</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/2532356/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Puspitarani</surname>
<given-names>R. A. D. A.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wijntjes</surname>
<given-names>B.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Vervoorn</surname>
<given-names>M. T.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2069181/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ballan</surname>
<given-names>E. M.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>van der Kaaij</surname>
<given-names>N. P.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1588958/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>van Goor</surname>
<given-names>H.</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Westenbrink</surname>
<given-names>B. D.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>van der Plaats</surname>
<given-names>A.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Nijhuis</surname>
<given-names>F.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>van Suylen</surname>
<given-names>V.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Erasmus</surname>
<given-names>M. E.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/687649/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Cardiothoracic Surgery</institution>, <institution>University Medical Centre Groningen</institution>, <institution>University of Groningen</institution>, <addr-line>Groningen</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Cardiology</institution>, <institution>University Medical Centre Groningen</institution>, <institution>University of Groningen</institution>, <addr-line>Groningen</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>XVIVO</institution>, <addr-line>Gothenburg</addr-line>, <country>Sweden</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Department of Cardiothoracic Surgery</institution>, <institution>University Medical Centre Utrecht</institution>, <addr-line>Utrecht</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Cardiology</institution>, <institution>Laboratory of Experimental Cardiology</institution>, <institution>University Medical Center Utrecht</institution>, <addr-line>Utrecht</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Netherlands Heart Institute</institution>, <addr-line>Utrecht</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>Department of Medical Biology and Pathology</institution>, <institution>University Medical Centre Groningen</institution>, <institution>University of Groningen</institution>, <addr-line>Groningen</addr-line>, <country>Netherlands</country>
</aff>
<author-notes>
<corresp id="c001">&#x2a;Correspondence: I. A. Ertugrul, <email>i.a.ertugrul@umcg.nl</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>11</day>
<month>07</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>37</volume>
<elocation-id>12982</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>03</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>26</day>
<month>06</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Ertugrul, Puspitarani, Wijntjes, Vervoorn, Ballan, van der Kaaij, van Goor, Westenbrink, van der Plaats, Nijhuis, van Suylen and Erasmus.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Ertugrul, Puspitarani, Wijntjes, Vervoorn, Ballan, van der Kaaij, van Goor, Westenbrink, van der Plaats, Nijhuis, van Suylen and Erasmus</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 terms.</p>
</license>
</permissions>
<abstract>
<p>
<italic>Ex situ</italic> heart perfusion (ESHP) has emerged as an important strategy to preserve donation after brain death (DBD) and donation after circulatory death (DCD) donor hearts. Clinically, both DBD and DCD hearts are successfully preserved using ESHP. Viability assessment is currently based on biochemical values, while a reliable method for graft function assessment in a physiologic working mode is unavailable. As functional assessment during ESHP has demonstrated the highest predictive value of outcome post-transplantation, this is an important area for improvement. In this study, a novel method for <italic>ex situ</italic> assessment of left ventricular function with pressure-volume loop analyses is evaluated. Ovine hearts were functionally evaluated during normothermic ESHP with the novel pressure-volume loop system. This system provides an afterload and adjustable preload to the left ventricle. By increasing the preload and measuring end-systolic elastance, the system could successfully assess the left ventricular function. End-systolic elastance at 60&#xa0;min and 120&#xa0;min was 2.8 &#xb1; 1.8&#xa0;mmHg/mL and 2.7 &#xb1; 0.7&#xa0;mmHg/mL, respectively. In this study we show a novel method for functional graft assessment with <italic>ex situ</italic> pressure-loop analyses during ESHP. When further validated, this method for pressure-volume assessments, could be used for better graft selection in both DBD and DCD donor hearts.</p>
</abstract>
<abstract abstract-type="graphical">
<title>Graphical Abstract</title>
<p>
<graphic xlink:href="TI_ti-2024-12982_wc_abs.tif"/>
</p>
</abstract>
<kwd-group>
<kwd>donation after circulatory death (DCD)</kwd>
<kwd>
<italic>ex situ</italic> heart perfusion</kwd>
<kwd>viability assessment</kwd>
<kwd>functional evaluation</kwd>
<kwd>heart transplantation</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>
<italic>Ex situ</italic> heart perfusion (ESHP) has been successfully implemented in the field of donor heart preservation worldwide [<xref ref-type="bibr" rid="B1">1</xref>, <xref ref-type="bibr" rid="B2">2</xref>]. ESHP prevents ischemia during preservation by providing oxygenated, nutrient-rich perfusate to the heart and provides a platform for graft assessment prior to heart transplantation (HTx) [<xref ref-type="bibr" rid="B1">1</xref>]. In donation after brain death (DBD), both hypothermic and normothermic ESHP have been shown to be non-inferior to the static cold storage and have been successfully applied for extended criteria DBD donors [<xref ref-type="bibr" rid="B3">3</xref>&#x2013;<xref ref-type="bibr" rid="B5">5</xref>]. In addition, ESHP has emerged as a successful preservation technique in donation after circulatory death (DCD). In DCD heart donation, hearts are retrieved from donors whose death is determined by circulatory arrest, as opposed to the golden standard DBD. Transplantation of DCD hearts has expanded the donor pool and number of heart transplantations substantially, thereby offering a viable solution for the persistent shortage of donor hearts [<xref ref-type="bibr" rid="B6">6</xref>]. However, the utilization of DCD hearts presents challenges, given the inherent ischemic injury and thus the need for optimized preservation techniques, including ESHP [<xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B7">7</xref>].</p>
<p>The Transmedics Organ Care System&#x2122; (Andover, MA, United States) is currently the only clinically available normothermic ESHP device and provides coronary perfusion without loading the ventricles [<xref ref-type="bibr" rid="B8">8</xref>]. Viability can only be assessed by measuring lactate levels, and the platform does not offer a module for the assessment of myocardial function. Lactate was previously shown to be a poor predictor of outcome after transplantation [<xref ref-type="bibr" rid="B9">9</xref>]. In addition, an increasing number of studies indicate that evaluating donor heart viability with functional ventricle loaded parameters is superior compared to metabolic parameters. This suggests that the assessment of cardiac contractile function could emerge as a reliable tool for graft evaluation and decision-making in HTx [<xref ref-type="bibr" rid="B10">10</xref>&#x2013;<xref ref-type="bibr" rid="B13">13</xref>]. However, there is currently no clinically available device capable for <italic>ex situ</italic> assessment of contractile function of the heart including clinically important factors such as pre- and afterload.</p>
<p>In this study we describe our initial experience with a novel device that enables functional graft assessment during unloaded normothermic ESHP with pressure-volume (PV) loop analyses, in an ovine abattoir model. This device provides virtual afterload and preload during ESHP in contrast to the non-compressible classical Langendorff balloon. Using the ovine abattoir model, we aimed to develop a widely available and reproducible model, recapitulating the DCD setting.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>Materials and Methods</title>
<sec id="s2-1">
<title>Animals</title>
<p>Female sheep (10&#xa0;months old, 30&#x2013;35&#xa0;kg) from the abattoir were included in this study. The protocol is consistent with regulation number 1069/2009 of the European Parliament and Council regarding abattoir animal products for diagnosis and research, which were authorized by the relevant legal animal welfare authorities (Food and Consumer Product Safety Authority). The sheep were terminated employing a captive bolt pistol to the head. Subsequently, the carotid arteries were cut open and the animal was suspended by its hind legs to exsanguinate. During exsanguination, blood was collected and heparinized (5.000 IU/L). A median sternotomy was performed, and the heart and lungs were harvested <italic>en bloc</italic>.</p>
</sec>
<sec id="s2-2">
<title>Heart Procurement</title>
<p>On the back table, the heart was immediately topically cooled and visually inspected for abnormalities or damage due to the termination process. The heart was dissected from the lungs by transecting the pulmonary artery and veins. Approximately 10&#xa0;cm of the ascending aorta was retained and canulated by securing the cardioplegia flush line in the aperture of the ascending aorta. Therefore, both coronary sinuses were perfused simultaneously. The cardioplegic solution (Custodiol histidine-tryptophan-ketoglutarate solution, Essential Pharmaceuticals, LLC, Durham, United States) was supplemented with adenosine (200&#xa0;&#x3bc;mol/L), lidocaine (500&#xa0;&#x3bc;mol/L) and nitroglycerin (100&#xa0;mg/L) and administered at a pressure of 80&#x2013;100 mmHg (1L, 4&#xb0;C) [<xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B15">15</xref>]. Warm ischemic time was defined as the time between the termination of the animal and delivery of cardioplegia. A maximum of 10&#xa0;min of warm ischemia was accepted.</p>
</sec>
<sec id="s2-3">
<title>Subnormothermic <italic>Ex Situ</italic> Heart Perfusion</title>
<p>All hearts were preserved with oxygenated subnormothermic ESHP (15&#xb0;C) for 2&#xa0;h. The subnormothermic ESHP system (modified Kidney Assist Transport, XVIVO, Gothenburg, Sweden) consists of a reservoir, an oxygenator (Medos Hilite 1000 XENIOS, Heilbronn, Germany), and a centrifugal pump (Medos DP2 XENIOS, Heilbronn, Germany). Antegrade perfusion of the coronary arteries was delivered in a pressure-controlled and pulsatile fashion by cannulating the aorta root. The aortic valve was tested for insufficiency. Oxygen (100%) was delivered at a flow of 100&#xa0;mL/min. Hearts were continuously perfused with a hyperkalemic (20&#xa0;mmol/L), buffered dextran-albumin perfusion solution supplemented with nitroglycerin (25&#xa0;mg/L). Perfusion temperature was targeted at 15&#xb0;C. The hearts were prepared for subnormothermic ESHP by cannulating the aorta and by venting the LV to avoid LV distention. Subsequently, the hearts were submerged within the reservoir and the perfusion cannula was attached to the arterial end of the perfusion system. The perfusion pressure was gradually increased to 45&#xa0;mmHg, aiming at a perfusion flow of &#x3e;150&#xa0;mL/min. The right atrium was left open, enabling the free return of the perfusate from the coronary sinus into the reservoir. Blood gases and electrolytes were analyzed to ensure the perfusate composition (pH: 7.1&#x2013;7.4; HCO<sub>3</sub>
<sup>&#x2212;</sup>: 20&#x2013;25&#xa0;mmol/L; pO<sub>2</sub>: 40&#x2013;60&#xa0;kPa; pCO<sub>2</sub>: 4.7&#x2013;6&#xa0;kPa; K<sup>&#x2b;</sup>: &#x3e;20&#xa0;mmol/L; Ca<sup>2&#x2b;</sup>: 0.18&#x2013;0.25&#xa0;mmol/L).</p>
</sec>
<sec id="s2-4">
<title>Normothermic <italic>Ex Situ</italic> Heart Perfusion</title>
<p>At the end of preservation, the hearts were submerged in cold cardioplegic solution in order to minimize injury during the preparations for normothermic evaluation. First, hearts were flushed with Perfadex (XVIVO, Gothenburg, Sweden) to flush out the hyperkalemic subnormothermic ESHP perfusate. Subsequently, hearts were weighted. For normothermic evaluation, a Langendorff perfusion system comparable to Langendorff perfusion was used. The normothermic ESHP system (modified Kidney Assist, XVIVO, Gothenburg, Sweden) consists of a heater-cooler and a pump housing unit, which must be connected to a disposable set, consisting of a reservoir, an oxygenator (Medos Hilite 2800 XENIOS, Heilbronn, Germany) and a centrifugal pump (Medos DP2 XENIOS, Heilbronn, Germany). The normothermic perfusion is pressure-controlled and delivers a continuous flow to the coronary arteries using the same cannula as for subnormothermic ESHP. Initial reperfusion was initiated in a controlled way, with a gradual increase in both pressure and temperature [<xref ref-type="bibr" rid="B16">16</xref>]. Perfusion temperature was initiated at 27&#xb0;C with 3&#xb0;C increments every 5&#xa0;min over 30&#xa0;min. After 30&#xa0;min, the pressure was increased from 40&#xa0;mmHg to 60&#xa0;mmHg. Rewarming continued for another 30&#xa0;min. The perfusate was based on albumin solution supplemented with Perfadex (XVIVO, Gothenburg, Sweden), to which washed RBCs (&#xb1;500&#xa0;mL) were added. The gas flow of carbogen (O<sub>2</sub> 95%; CO<sub>2</sub> 5%) was adjusted to maintain physiological pH and arterial carbon dioxide pressure (paCO<sub>2</sub>). Blood gasses and electrolytes are analyzed to ensure a perfusate composition within the physiological range (pH: 7.3&#x2013;7.4; HCO<sub>3</sub>
<sup>&#x2212;</sup>: 20&#x2013;25&#xa0;mmol/L; pO<sub>2</sub>: 40&#x2013;60&#xa0;kPa; pCO<sub>2</sub>: 4.7&#x2013;6&#xa0;kPa; K<sup>&#x2b;</sup>: 3.0&#x2013;5.9&#xa0;mmol/L; Ca<sup>2&#x2b;</sup>: 1.0&#x2013;1.3&#xa0;mmol/L; Hb: 4.0&#x2013;4.5&#xa0;g/dL). Reperfusion was initiated with a low calcium concentration (&#x3c;0.8&#xa0;mmol/L). During normothermic <italic>ex situ</italic> perfusion, hearts were ventricular paced at a rate of 70 beats/min. Normothermic ESHP was performed for a total duration of 2&#xa0;h.</p>
</sec>
<sec id="s2-5">
<title>
<italic>Ex situ</italic> Pressure Volume Loop Analyses</title>
<p>The novel XVIVO <italic>ex situ</italic> PV loop system consists of a cylinder-piston combination that is placed on the annulus of the mitral valve, a balloon, a motor, and a control unit (<xref ref-type="fig" rid="F1">Figure 1</xref>). The balloon is placed in the LV through the mitral valve, secured with a transapical line, and filled with saline. As stated before, the LV is vented. This assures that there will be little to no fluid surrounding the intra-ventricular balloon. To make sure that the balloon does not protrude from the LV to the left atrium, the mitral valve annulus is closed by placing two polyamide nylon tapes (Ethicon 3&#xa0;mm &#xd7; 70) behind the chordae tendineae of both the posterior and anterior leaflet of the mitral valve. Subsequently, the nylon bands are secured using a tourniquet kit, which ensures that the mitral valve annulus completely encloses the mitral valve cannula. A WheatStone bridge pressure catheter is placed in the balloon for real-time pressure measurements. The balloon is connected to the mitral valve cannula, which forms the connection to the piston-cylinder combination (<xref ref-type="fig" rid="F1">Figures 1A, B</xref>). As a result, the volume within the balloon is in continuity with the volume within the cylinder-piston combination, providing a fluid-tight system with a constant and preset fluid volume. As the LV contracts, the volume is pushed out of the balloon into the cylinder, moving the piston (<xref ref-type="fig" rid="F1">Figure 1A</xref>). This movement of the piston is transmitted through a Bowden cable (<xref ref-type="fig" rid="F1">Figure 1C</xref>) which is connected to the motor pulley (<xref ref-type="fig" rid="F1">Figure 1D</xref>), registering the volume changes in the LV during the cardiac cycle. Both the motor and pressure sensor are connected to the control unit which includes a computer with XVIVO software (<xref ref-type="fig" rid="F1">Figure 1E</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>XVIVO pressure-volume loop analysis platform. <bold>(A)</bold>: piston, <bold>(B)</bold>: cylinder, <bold>(C)</bold>: Bowden cable, <bold>(D)</bold>: motor generating force for pressurizing the volume within the cylinder, <bold>(E)</bold>: control unit and data output, <bold>(F)</bold>: mitral valve cannula, <bold>(G)</bold>: intra-ventricular balloon.</p>
</caption>
<graphic xlink:href="ti-37-12982-g001.tif"/>
</fig>
<p>During the cardiac cycle the software switches between the four phases of the cardiac cycle (<xref ref-type="fig" rid="F2">Figure 2</xref>). The software detects the changes in the cardiac cycle by an algorithm dedicated to every phase of the cardiac cycle. Change in the cardiac phase is detected by the software as follows. The software switches from the diastolic filling phase to the isovolumetric contraction phase when a small outward volume displacement from the ventricular cavity is detected. It switches from the isovolumetric contraction phase to the systolic ejection phase when a certain predetermined threshold pressure is reached. The systolic ejection phase changes to the isovolumetric relaxation phase when a small inward volume displacement to the ventricular cavity is detected. And lastly, the software switches from the isovolumetric relaxation phase to the diastolic filling phase when the ventricular pressure is lower than the predetermined preload pressure.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Four phases of the cardiac cycle in PV loop. Phase 1: Diastolic filling. The intra-ventricular balloon will be filled therefore Q [flow (mL/min)] is in the direction of the LV and pressure will slightly rise. Phase 2: Isovolumetric contraction. The LV pressure will rise until the threshold pressure is reached. Phase 3: Ejection. The intra-ventricular balloon will be emptied (Q is in the direction of the cylinder). Phase 4: Isovolumetric relaxation. LV pressure will fall.</p>
</caption>
<graphic xlink:href="ti-37-12982-g002.tif"/>
</fig>
<p>Furthermore, the volume within the cylinder-piston combination is pressurized by force generated by the motor. Therefore, the internal volume can be pressurized by changing the motor power. This enables the simulation of a virtual physiologic load on the ventricle (pre- and afterload). Both the power and speed delivered by the motor can be controlled with the XVIVO software. The software reads the pressure measured in the LV, compares this with the desired preload pressure, and subsequently increases or decreases the motor power to adjust the LV pressure. The desired preload pressure can be adjusted in the XVIVO software after every cardiac cycle. As a result, the LV pressure will increase to the desired preload pressure within one cardiac cycle, enabling the ability to effortlessly execute a preload challenge to assess LV function.</p>
<p>In the systolic ejection phase, the software controls the afterload. The afterload is calculated from the measured ventricular outward flow and a virtual impedance based on the analogue described by Kung and colleagues [<xref ref-type="bibr" rid="B17">17</xref>]. The simplified virtual impedance is constructed out of four components (<xref ref-type="fig" rid="F3">Figure 3</xref>; <xref ref-type="table" rid="T1">Table 1</xref>). The inertia component (L) counteracts a flow change. Compliance (C), primarily the aortic compliance, is the stretching capacity of the arteries. R<sub>p</sub> is the virtual flow resistance of the aortic valve, and R<sub>d</sub> is the virtual flow resistance of the distal track/the systemic vascular resistance (SVR).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Simplified electronic equivalent fluidic impedance of the human body. Conducted from Kung et al. [<xref ref-type="bibr" rid="B17">17</xref>]. A, aortic valve; C, compliance component of the fluiding impedance; GND, ground; L, the inertia component, Rd, distal resistance; Rp, proximal resistance.</p>
</caption>
<graphic xlink:href="ti-37-12982-g003.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Components of virtual impedance.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Components of virtual impedance</th>
<th align="center">Symbol</th>
<th align="center">Standard setting</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Inertia component</td>
<td align="center">L (Barye s<sup>2</sup>/cm<sup>3</sup>)</td>
<td align="center">0.7</td>
</tr>
<tr>
<td align="left">Inverse compliance</td>
<td align="center">1/C</td>
<td align="center">420</td>
</tr>
<tr>
<td align="left">Flow resistance aortic valve</td>
<td align="center">R<sub>p</sub> (Barye s/cm<sup>3</sup>)</td>
<td align="center">24.5</td>
</tr>
<tr>
<td align="left">Flow resistance distal track/SVR</td>
<td align="center">R<sub>d</sub> (Barye s/cm<sup>3</sup>)</td>
<td align="center">404.6</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The afterload is calculated using the following equation:<disp-formula id="equ1">
<mml:math id="m1">
<mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="bold-italic">L</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">Q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">Q</mml:mi>
<mml:mo>&#x2009;</mml:mo>
<mml:mo>&#x22C5;</mml:mo>
<mml:mo>&#x2009;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">p</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn mathvariant="bold">1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x222b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="bold-italic">Q</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">Q</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:msub>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>In which P is the target pressure in mmHg. The software will control the motor force in such a way that the measured pressure in the ventricle will equal this targeted pressure or afterload. Q is the flow (mL/min) out of the ventricle and Q<sub>Rd</sub> is the flow through the virtual flow resistance of the SVR. The inertia component (L) is dependent on the flow change (dQ) over time (dt, in seconds) out of the ventricle. R<sub>p</sub> is the flow resistance of the aortic valve. Pressure generated by the compliance component (C) is determent by the volume in the aorta. Volume in the aorta can be calculated by summation of the flow from the ventricle (Q), minus the flow to the body (Qrd). P<sub>c0</sub> is the pressure (in mmHg) in the aorta at the start of the systolic ejection phase. The targeted pressure of the ventricular cavity is recalculated at intervals of dt, and dt is defined as to be smaller than 4 milliseconds.</p>
<p>The equation above is valid in the systolic ejection phase, as in the other phases the aortic valve would be closed. If the aortic valve is closed, the aorta is still loaded and stretched as a result of the systolic ejection phase. During unloading of the aorta, the aortic pressure falls. The formula for decreasing the pressure of the aorta, is based on a resistance-capacitor circuit, the electronic equivalent of resistance and compliance:<disp-formula id="equ2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mi mathvariant="bold-italic">c</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2009;</mml:mo>
<mml:mo>&#x22C5;</mml:mo>
<mml:mo>&#x2009;</mml:mo>
<mml:msup>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold-italic">t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">R</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2009;</mml:mo>
<mml:mo>&#xd7;</mml:mo>
<mml:mo>&#x2009;</mml:mo>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>In which P<sub>c</sub> is the virtual pressure in the aorta, P<sub>ces</sub> is the end systolic pressure compliance in the aorta and t is the progression in time since closure of the aortic valve in seconds, C is the compliance and R<sub>d</sub> is the SVR. When a heartbeat is in the isovolumetric systolic phase, P<sub>c</sub> is the threshold pressure for switching to the ejection phase.</p>
</sec>
<sec id="s2-6">
<title>Data Collection</title>
<sec id="s2-6-1">
<title>Blood Gas Analysis</title>
<p>Blood gas analysis was performed with the ABL90 Flex plus blood gas analyzer (Radiometer Benelux BV). Analyses were performed during subnormothermic ESHP (5, 60 and 120&#xa0;min), after priming of the normothermic ESHP system and during normothermic ESHP (5, 30, 60, 90 and 120&#xa0;min).</p>
</sec>
<sec id="s2-6-2">
<title>PV Loop Analysis</title>
<p>At 60 and 120&#xa0;min of normothermic ESHP, PV loop analyses were performed. Before testing, the pacing was haltered, and hearts were checked for their rhythm. During PV loop analyses, pre-load was started at 10&#xa0;mmHg and increased to 25&#xa0;mmHg in steps of 5&#xa0;mmHg. After each increment of 5&#xa0;mmHg, PV loops were recorded for 60&#xa0;s. Calculations and figures were made in MATLAB (The Mathworks).</p>
</sec>
</sec>
<sec id="s2-7">
<title>Statistical Analysis</title>
<p>Data is presented as mean &#xb1; standard deviation (SD). A repeated measures ANOVA was performed to analyze differences over time. <italic>p</italic>-value &#x3c;0.05 was considered statistically significant. Data analysis was performed using GraphPad Prism 9.4 (GraphPad Software, CA, United States).</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec id="s3-1">
<title>Baseline Data, Ischemic and Preservation Time</title>
<p>A total of 5 female sheep of 10&#x2013;12&#xa0;months old (25&#x2013;35&#xa0;kg) were included in the study. The functional warm ischemic time was 8.4 &#xb1; 0.9&#xa0;min. The cold ischemic time during preparations for subnormothermic ESHP was 5 &#xb1; 0.5&#xa0;min. Hearts were perfused with subnormothermic ESHP for 135 &#xb1; 13.3&#xa0;min and evaluated during normothermic ESHP for 122 &#xb1; 1.6&#xa0;min. The cold ischemic time during preparations for normothermic ESHP was 9 &#xb1; 3.4&#xa0;min. The baseline weight of the heart was 328.4 &#xb1; 3&#xa0;g. Weight gain during preservation was 71 &#xb1; 12.7&#xa0;g (<italic>p</italic> &#x3d; 0.0005) and during normothermic ESHP 41 &#xb1; 16&#xa0;g (<italic>p</italic> &#x3d; 0.010).</p>
</sec>
<sec id="s3-2">
<title>Subnormothermic Machine Perfusion</title>
<p>All hearts were perfused with a pressure of 45&#xa0;mmHg. Coronary flow increased non-significantly over time until 60&#xa0;min of preservation, and stabilized hereafter (<xref ref-type="fig" rid="F4">Figure 4A</xref>). paO<sub>2</sub> and paCO<sub>2</sub> concentration during subnormothermic ESHP are shown in <xref ref-type="fig" rid="F4">Figures 4B, C</xref>, respectively. Glucose concentration decreased over the course of preservation (<xref ref-type="fig" rid="F4">Figure 4D</xref>), baseline: 11.8 &#xb1; 0.3, end of subnormothermic ESHP: 10.4 &#xb1; 0.3 (<italic>p</italic> &#x3d; 0.005). A significant increase in lactate was seen in the first hour of preservation (<xref ref-type="fig" rid="F4">Figure 4E</xref>). However, after 60&#xa0;min of preservation, lactate remained rather stable. Lactate dehydrogenase after 5&#xa0;min of preservation was 426 &#xb1; 35 U/L (<xref ref-type="fig" rid="F4">Figure 4F</xref>). At the end of preservation, lactate dehydrogenase decreased to 400 &#xb1; 43 U/L (<italic>p</italic> &#x3d; 0.3).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Subnormothermic machine perfusion. <bold>(A)</bold>: Coronary flow (mL/min), <bold>(B)</bold>: Arterial pCO<sub>2</sub> (kPa), <bold>(D)</bold>: Glucose levels (mmol/L), <bold>(C)</bold>: Arterial pCO<sub>2</sub> (kPa), <bold>(E)</bold>: Lactate levels (mmol/L), <bold>(F)</bold>: Lactate dehydrogenase (U/L).</p>
</caption>
<graphic xlink:href="ti-37-12982-g004.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>Normothermic Machine Perfusion</title>
<p>Mean pressure during normothermic ESHP was 62 &#xb1; 6&#xa0;mmHg. Changes in flow during normothermic ESHP, are shown in <xref ref-type="fig" rid="F5">Figure 5A</xref>. Changes in both arterial and venous pO<sub>2</sub> and pCO<sub>2</sub> are shown in <xref ref-type="fig" rid="F5">Figures 5B, C</xref>. In the first 30&#xa0;min of normothermic ESHP, lactate increased significantly (baseline: 0.28&#xa0;mmol/L, 5&#xa0;min: 0.92&#xa0;mmol/L, 30&#xa0;min: 1.66&#xa0;mmol/L, <italic>p</italic> &#x3d; 0.02). Hereafter, a non-significant increase in lactate was seen between each timepoint (<xref ref-type="fig" rid="F5">Figure 5D</xref>). At the end of normothermic ESHP, lactate dehydrogenase level was 333 &#xb1; 37 U/L (<italic>p</italic> &#x3d; 0.005, <xref ref-type="fig" rid="F4">Figure 4D</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Normothermic machine perfusion. <bold>(A)</bold>: Coronary flow (mL/min), <bold>(B)</bold>: pO<sub>2</sub> (kPa), <bold>(C)</bold>: pCO<sub>2</sub> (kPa), <bold>(D)</bold>: Lactate levels (mmol/L).</p>
</caption>
<graphic xlink:href="ti-37-12982-g005.tif"/>
</fig>
</sec>
<sec id="s3-4">
<title>PV Loop Analyses</title>
<p>PV loop analyses were performed at 60 and 120&#xa0;min of normothermic ESHP. A simulated output from one of the PV loop assessments with increasing pre-load is shown in <xref ref-type="fig" rid="F6">Figure 6</xref>. Dp/dt-min and -max and maximally generated pressure values are shown in <xref ref-type="fig" rid="F7">Figure 7</xref>. End-systolic elastance (Ees) at 60&#xa0;min and 120&#xa0;min of normothermic ESHP was 2.8 &#xb1; 1.8&#xa0;mmHg/mL and 2.7 &#xb1; 0.7&#xa0;mmHg/mL (<italic>p</italic> &#x3d; 0.9), respectively (<xref ref-type="fig" rid="F7">Figure 7C</xref>). Tau, the exponential decay of the ventricular pressure during isovolumic relaxation, is shown in <xref ref-type="fig" rid="F7">Figure 7E</xref>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Pressure-volume loop analyses output. Preload was increased with increments of 5&#xa0;mmHg. EDPVR, End-diastolic pressure-volume relationship; Ees, End-systolic elastance.</p>
</caption>
<graphic xlink:href="ti-37-12982-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Pressure-volume loop analyses. <bold>(A)</bold> dP/dt min and max (mmHg/s) at 60&#xa0;min of <italic>ex situ</italic> heart perfusion. <bold>(B)</bold>: dP/dt min and max (mmHg/s) at 120&#xa0;min of <italic>ex situ</italic> heart perfusion <bold>(C)</bold>: End-systolic elastance (mmHg/mL), <bold>(D)</bold>: LV pressure (mmHg) <bold>(E)</bold>: Tau (ms).</p>
</caption>
<graphic xlink:href="ti-37-12982-g007.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>In this study, a novel method for <italic>ex situ</italic> PV loop analyses during unloaded normothermic ESHP is shown in an ovine abattoir model, which is recapitulating the DCD setting. This PV loop system provides a virtual afterload and an adjustable preload to the LV. Pre-load increments of 5&#xa0;mmHg, led to measurable PV loops for LV function assessment. Our results, including end-systolic elastance, are in line with experimental studies on LV function in ovine models [<xref ref-type="bibr" rid="B19">19</xref>&#x2013;<xref ref-type="bibr" rid="B21">21</xref>].</p>
<p>Given the uncertainty about transiency and reversibility of myocardial dysfunction in DCD hearts, assessment of cardiac function might be of added value. In line with this, it is important to state that several donor hearts initially thought to be transplantable were discarded after perfusion on the Transmedics OCS system [<xref ref-type="bibr" rid="B1">1</xref>]. Furthermore, in DBD HTx, DBD donors might suffer from brain stem death-induced myocardial dysfunction, which could prove to be reversible over time [<xref ref-type="bibr" rid="B22">22</xref>]. Prolonging the interval between brain death and graft assessment, may therefore increase the number of successful heart procurements, which stresses the transiency of myocardial dysfunctions over time, especially from extended criteria DBD donors [<xref ref-type="bibr" rid="B22">22</xref>, <xref ref-type="bibr" rid="B23">23</xref>]. Therefore, donor heart assessment in both DCD and DBD could be of additional value.</p>
<p>Several methods have been applied to assess graft function during ESHP. Echocardiography is the preferred imaging technique for myocardial contractility. Two-dimensional echocardiography has been used during ESHP to determine myocardial contraction by assessing fractional area reduction [<xref ref-type="bibr" rid="B24">24</xref>]. Lowalekar et al. showed that cardiac functional parameters and ventricular and septal wall thicknesses can be assessed with a two-dimensional transesophageal probe during ESHP [<xref ref-type="bibr" rid="B25">25</xref>]. Furthermore, more extensive methods including the quantitative assessment of shear wave velocity using ultrasound have been used as a biomarker for cardiac viability in a porcine model. This methodology includes ultrasound elastography and assessment of myocardial stiffness evolution during ESHP. Shear wave velocity has been shown to correlate with cardiac function index, suggesting shear wave velocity as a non-invasive marker of graft viability [<xref ref-type="bibr" rid="B26">26</xref>].</p>
<p>PV loop analyses are widely used in basic research and are considered the gold standard for <italic>in situ</italic> hemodynamic assessment of the heart [<xref ref-type="bibr" rid="B27">27</xref>]. PV loop assessments have also been applied during normothermic regional perfusion in DCD HTx to assess the donor heart before retrieval [<xref ref-type="bibr" rid="B12">12</xref>]. Messer et al. demonstrated the effectiveness of this functional assessment method for DCD HTx with successful transplantation and 100% survival rate [<xref ref-type="bibr" rid="B28">28</xref>]. PV loop analyses are also performed during EHSP using an intraventricular conductance catheter and isovolumetric pressure measurements [<xref ref-type="bibr" rid="B12">12</xref>, <xref ref-type="bibr" rid="B18">18</xref>, <xref ref-type="bibr" rid="B29">29</xref>].</p>
<p>The novel <italic>ex situ</italic> PV loop system includes a pre-determined virtual afterload and an adjustable preload, and therefore simulates a physiological loading state, which is a valuable novel addition to ESHP PV loop assessments. Contrary to current PV loop methods, this novel system allows LV fluid shuttling. In addition, previous studies have shown that ESHP in working mode may result in improved preservation compared to non-working or unloaded perfusion [<xref ref-type="bibr" rid="B30">30</xref>]. This novel <italic>ex situ</italic> PV loop analyses platform provides an accessible working mode ESHP system during Langendorff perfusion and may therefore optimize ESHP. In addition, complicated working-mode or loaded perfusion systems can be avoided. Furthermore, its compact and transportable size, easy application and modest design might facilitate clinical application.</p>
<p>For optimal graft viability assessment, we believe that a multi-assessment approach including real-time PV loop assessment with our novel system, myocardial perfusion and metabolic- and damage markers would be an adequate strategy for evaluation of contractility, coronary flow, and overall cardiac function. Several metabolic markers, including myocardial oxygen consumption, lactate, glucose, and metabolomics have been applied in ESHP graft assessment [<xref ref-type="bibr" rid="B31">31</xref>&#x2013;<xref ref-type="bibr" rid="B34">34</xref>]. These markers are accessible and could provide additional insight in graft viability.</p>
<p>Several experimental rodent models of cardiac DCD are available, providing a relatively easily manageable model with respect to technical and financial aspects [<xref ref-type="bibr" rid="B28">28</xref>, <xref ref-type="bibr" rid="B35">35</xref>, <xref ref-type="bibr" rid="B36">36</xref>]. However, large animal models provide a more clinically relevant platform for DCD heart research. Although these models are clinically relevant, costs are relatively high and challenging to perform. Utilizing animal organs obtained from an abattoir is an alternative source of animal donor hearts and fits well into the 3R&#x2019;s principle (refinement, reduction, and replacement) of humane experimental techniques. Since these animals are specifically bred and terminated for consumption, repurposing their organs for research after termination allows for scientific research without causing additional animal harm [<xref ref-type="bibr" rid="B37">37</xref>]. Other advantages of abattoir models include low costs and unlimited access. In large-animal models, the porcine heart is one of the preferred choices considering its anatomical similarity to the human heart [<xref ref-type="bibr" rid="B38">38</xref>, <xref ref-type="bibr" rid="B39">39</xref>]. However, ovine hearts are also comparable on a physiological and anatomical level to human heart and have been studied comprehensively [<xref ref-type="bibr" rid="B40">40</xref>&#x2013;<xref ref-type="bibr" rid="B42">42</xref>]. The advantage of using ovine hearts for experimental studies is that the slaughter process for sheep is shorter than that for pigs. Therefore, acceptable warm ischemic times can be reached. The described ovine model is a reproducible model for ESHP DCD studies.</p>
<p>Further enhancements of the PV loop system could include the possibility to adjust the afterload and assessment of right-ventricular function. As this is a proof-of-concept study, we did not include a cut-off value for adequate cardiac function. Future studies validating this novel <italic>ex situ</italic> PV loop system are required to determine a cut-off value relevant for clinical DCD HTx. In addition, these studies should test the safety of the intra-ventricular balloon. The intra-ventricular balloon and mitral valve canula affects the geometry of the mitral valve and might therefore also affect the geometry of the LV, which can be considered as a limiting factor of this study. Further limiting factors include the low number of hearts and lack of a control group (e.g., laboratory-raised sheep). However, this paper aimed at showing a novel animal DCD model and system for <italic>ex situ</italic> PV loop analyses as a proof of concept, not to validate these methods. Although hearts retrieved from an abattoir have many advantages, there are also limitations to abattoir organs for research. Variability in farms of origin, stress due to transport and sacrifice, and a high-fat diet, are some of the factors which should be considered when using abattoir models for experimental studies [<xref ref-type="bibr" rid="B39">39</xref>].</p>
<p>In conclusion, this study shows a reproducible method for DCD heart preservation and proofs the concept of functional assessment of these ovine hearts. We tested a novel clinically applicable method for functional assessment of the graft with <italic>ex situ</italic> PV loop analyses including a virtual afterload and preload during ESHP. We believe that this method could become important in more optimal graft selection and enhancing overall outcome in both DBD and DCD HTx. Validation of this system is the next step in the development of this method and is required before clinical implementation.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6">
<title>Ethics Statement</title>
<p>The requirement of ethical approval was waived by European Parliament and Council for the studies involving animals because the protocol is consistent with regulation number 1069/2009 of the European Parliament and Council regarding abattoir animal products for diagnosis and research, which were authorized by the relevant legal animal welfare authorities (Food and Consumer Product Safety Authority). The studies were conducted in accordance with the local legislation and institutional requirements.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>Concept and design: ME, VvS, FN, AvP, and IE. Acquisition of data: IE, FN, RP, and BW. Analysis and interpretation of data: IE, ME, and FN. Drafting of the manuscript: IE, VvS, and ME. Critical revision: FN, NvK, MV, EB, AvP, BW, HvG, and RP. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The authors declare that no financial support was received for the research, authorship, and/or publication of this article.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of Interest</title>
<p>Authors BW, AvP, and FN were employed by XVIVO. ME holds a patent with XVIVO.</p>
<p>The remaining 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 id="s10">
<title>Abbreviations</title>
<p>DBD, Donation after brain death; DCD, Donation after circulatory death; Ees, End systolic elastance; ESHP, <italic>ex situ</italic> heart perfusion; HTx, Heart transplantation; LV, Left ventricle; PV, Pressure-volume; SVR, Systemic vascular resistance.</p>
</sec>
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