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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Cardiovasc. Med.</journal-id>
<journal-title>Frontiers in Cardiovascular Medicine</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Cardiovasc. Med.</abbrev-journal-title>
<issn pub-type="epub">2297-055X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fcvm.2022.869505</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Cardiovascular Medicine</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Functional Evaluation of Embedded Modular Single-Branched Stent Graft: Application to Type B Aortic Dissection With Aberrant Right Subclavian Artery</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Zhang</surname> <given-names>Xuehuan</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Chen</surname> <given-names>Duanduan</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/796887/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Wu</surname> <given-names>Mingwei</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Dong</surname> <given-names>Huiwu</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Wan</surname> <given-names>Zhengdong</given-names></name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Jia</surname> <given-names>Heyue</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Liang</surname> <given-names>Shichao</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Shao</surname> <given-names>Jun</given-names></name>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Zheng</surname> <given-names>Jun</given-names></name>
<xref ref-type="aff" rid="aff7"><sup>7</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Xu</surname> <given-names>Shangdong</given-names></name>
<xref ref-type="aff" rid="aff7"><sup>7</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Xiong</surname> <given-names>Jiang</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="aff" rid="aff8"><sup>8</sup></xref>
<xref ref-type="corresp" rid="c002"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1339617/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Guo</surname> <given-names>Wei</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1442218/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>School of Life Science, Beijing Institute of Technology</institution>, <addr-line>Beijing</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>School of Medical Technology, Beijing Institute of Technology</institution>, <addr-line>Beijing</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Vascular and Endovascular Surgery, The First Medical Center of People&#x00027;s Liberation Army of China</institution>, <addr-line>Beijing</addr-line>, <country>China</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Ultrasound Diagnosis, The First Medical Center of People&#x00027;s Liberation Army of China</institution>, <addr-line>Beijing</addr-line>, <country>China</country></aff>
<aff id="aff5"><sup>5</sup><institution>Department of Vascular and Endovascular Surgery, The First Affiliated Hospital of Yangtze University</institution>, <addr-line>Jingzhou</addr-line>, <country>China</country></aff>
<aff id="aff6"><sup>6</sup><institution>Department of Cardiothoracic Surgery, The Second Affiliated Hospital of Nanjing Medical University</institution>, <addr-line>Nanjing</addr-line>, <country>China</country></aff>
<aff id="aff7"><sup>7</sup><institution>Center of Cardiac Surgery, Beijing Anzhen Hospital, Beijing Institute of Heart, Lung and Vascular Diseases, Capital Medical University Beijing Aortic Disease Center</institution>, <addr-line>Beijing</addr-line>, <country>China</country></aff>
<aff id="aff8"><sup>8</sup><institution>Department of Vascular and Endovascular Surgery, Hainan Hospital, People&#x00027;s Liberation Army of China</institution>, <addr-line>Hainan</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Tong Qiao, Nanjing Drum Tower Hospital, China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Randolph Wong, Prince of Wales Hospital, China; Qingsheng Lu, Second Military Medical University, China</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Duanduan Chen <email>duanduan&#x00040;bit.edu.cn</email></corresp>
<corresp id="c002">Jiang Xiong  <email>xiongjiangdoc&#x00040;126.com</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Structural Interventional Cardiology, a section of the journal Frontiers in Cardiovascular Medicine</p></fn></author-notes>
<pub-date pub-type="epub">
<day>02</day>
<month>05</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>9</volume>
<elocation-id>869505</elocation-id>
<history>
<date date-type="received">
<day>04</day>
<month>02</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>12</day>
<month>04</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2022 Zhang, Chen, Wu, Dong, Wan, Jia, Liang, Shao, Zheng, Xu, Xiong and Guo.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Zhang, Chen, Wu, Dong, Wan, Jia, Liang, Shao, Zheng, Xu, Xiong and Guo</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>
<sec>
<title>Background</title>
<p>Endovascular repair of type B aortic dissection (TBAD) with aberrant right subclavian artery (ARSA) is challenging due to anatomical complexity. The embedded modular single-branched stent graft (EMSBSG) could solve this problem. However, the hemodynamic efficacy of this innovative technique has not been fully assessed. This study aimed to propose morphometric and functional indicators to quantify the outcomes of EMSBSG in treating TBAD with ARSA.</p>
</sec>
<sec>
<title>Material and Methods</title>
<p>A patient who had TBAD with ARSA underwent EMSBSG implantation was admitted. Computational fluid dynamics (CFD) and three-dimensional structural analyses were conducted based on CTA datasets before the operation (Pre-1) and at 4 and 25 days after EMSBSG implantation (Post-1 and Post-2). Quantitative and qualitative functional analyses were conducted via pressure-, velocity- and wall shear stress (WSS) -based parameters, such as the luminal pressure difference (LPD), total energy loss, and flow distribution ratio. By precisely registering the aortas at the three time points, parameter variations in the EMSBSG region were also computed to investigate the prognostic improvement after EMSBSG implantation.</p>
</sec>
<sec>
<title>Results</title>
<p>The first balance point of LPD distally shifted to the abdominal aorta in Post-1 by a distance of 20.172 cm, and shifted out of the dissected region in Post-2, indicating positive pressure recovery post EMSBSG. The flow distribution ratios of all aortic arch branches increased after EMSBSG implantation. A positive normal deformation index in the EMSBSG region confirmed true lumen expansion; dominant AR<sub>N</sub> (area ratio of negative value) of pressure and WSS-based parameters indicated an improved prognosis from Post-1 to Post-2.</p>
</sec>
<sec>
<title>Conclusions</title>
<p>The short-term results of EMSBSG in treating TBAD with ARSA proved to be promising, especially in EMSBSG region. Comprehensive evaluation could provide new insight into the therapy of TBAD with ARSA. Thus, it might guide the further management of complex aortic arch lesions.</p>
</sec></abstract>
<kwd-group>
<kwd>functional evaluation</kwd>
<kwd>aortic dissection</kwd>
<kwd>aberrant right subclavian artery</kwd>
<kwd>embedded modular single-branched stent graft</kwd>
<kwd>hemodynamics</kwd>
<kwd>aortic remodeling</kwd>
</kwd-group>
<contract-num rid="cn001">7212094</contract-num>
<contract-num rid="cn001">L192045</contract-num>
<contract-num rid="cn001">Z190014</contract-num>
<contract-num rid="cn002">81970404</contract-num>
<contract-num rid="cn002">82170498</contract-num>
<contract-num rid="cn003">Z211100002921048</contract-num>
<contract-sponsor id="cn001">Natural Science Foundation of Beijing Municipality<named-content content-type="fundref-id">10.13039/501100004826</named-content></contract-sponsor>
<contract-sponsor id="cn002">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content></contract-sponsor>
<contract-sponsor id="cn003">Beijing Municipal Science and Technology Commission<named-content content-type="fundref-id">10.13039/501100009592</named-content></contract-sponsor>
<counts>
<fig-count count="7"/>
<table-count count="0"/>
<equation-count count="5"/>
<ref-count count="36"/>
<page-count count="12"/>
<word-count count="6758"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Aberrant right subclavian artery (ARSA), originating from the proximal portion of the descending thoracic aorta, is a common variant of the aortic arch (<xref ref-type="bibr" rid="B1">1</xref>). However, the association of type B aortic dissection (TBAD) and ARSA is rarely encountered. It has been reported that the acute angle of the ARSA weakens the aortic wall (<xref ref-type="bibr" rid="B2">2</xref>), leading to the formation of the primary tear near the descending aortic isthmus and ARSA (<xref ref-type="bibr" rid="B3">3</xref>). The treatment procedure is limited due to the location of the primary tear and ARSA.</p>
<p>To date, there is no consensus on the treatment of TBAD associated with ARSA. Conventional open surgery is the most common option for TBAD with ARSA (<xref ref-type="bibr" rid="B2">2</xref>, <xref ref-type="bibr" rid="B4">4</xref>). However, complex open surgical procedures may be associated with relatively high perioperative mortality and morbidity (<xref ref-type="bibr" rid="B5">5</xref>). New endovascular treatment techniques including chimney, periscope and fenestration have been applied to treat this pathology (<xref ref-type="bibr" rid="B3">3</xref>, <xref ref-type="bibr" rid="B6">6</xref>, <xref ref-type="bibr" rid="B7">7</xref>). However, chimney technique has been reported to be associated with high endoleak and reintervention rates (<xref ref-type="bibr" rid="B8">8</xref>) and the safety of fenestration (<italic>in situ</italic> or <italic>in vitro</italic>) remains unclear.</p>
<p>The branched stent graft technique might be an alternative for aortic arch pathologies. The embedded modular single-branched stent graft (EMSBSG) is an endovascular device specially designed for the lesions involving the branch vessel. EMSBSG could not only restore the aortic morphology but also preserve the blood flow for the branches. The high flexibility of this EMSBSG technique might also contribute to avoiding potential device-related complications. This technique could adapt to the patient-specific characteristics <italic>e.g</italic>. the branch vessels with particular angles, thus facilitating the safety of managing lesions that involve the branch vessels, such as TBAD with ARSA.</p>
<p>However, the efficacy of EMSBSG in treating TBAD with ARSA has not been fully assessed. Herein we retrospectively reported a patient who had TBAD with ARSA and treated successfully with EMSBSG technique. CFD was used to evaluate the hemodynamic features before and after EMSBSG treatment. Detailed morphometric and functional information might serve as a reliable reference for assessing therapeutic effect of EMSBSG in treating TBAD with ARSA, thus guiding future clinical therapy in managing the variant anatomy of the aortic arch.</p>
</sec>
<sec sec-type="materials and methods" id="s2">
<title>Materials and Methods</title>
<sec>
<title>Patient and EMSBSG Device</title>
<p>A 59-year-old female with the history of hypertension who was diagnosed with chronic TBAD with ARSA in 2015 was admitted. The ARSA arose from the proximal portion of the descending thoracic aorta. After 6 years of optimal medical treatment, she was readmitted and operated on because of 1-month intermittent dull chest pain. The primary entry was located near the ARSA. A re-entry tear was detected at the beginning of the left subclavian artery (LSA) (<xref ref-type="fig" rid="F1">Figure 1E</xref>). The patient refused open surgery or hybrid repair. Therefore, EMSBSG, specifically designed for aortic arch lesion, was used to seal the tears and hence restore the aortic morphology. The EMSBSG system was manufactured by Hangzhou Endonom Medtech Co., Ltd (Hangzhou, China) according to individual needs. In the current study, the EMSBSG system is comprised of the main aortic stent graft (34 <sup>&#x0002A;</sup> 26 <sup>&#x0002A;</sup> 160 mm) with an embedded branch port for ARSA, the stented port for LSA, and the branched stent graft, as shown in <xref ref-type="fig" rid="F1">Figure 1B</xref>. Detailed information on the steps to perform the endovascular repair procedure using EMSBSG system is presented in the <xref ref-type="supplementary-material" rid="SM1">Supplementary Data Sheet 1</xref>. The EMSBSG system is in the clinical trial, and full details of the clinical studies are available at <ext-link ext-link-type="uri" xlink:href="https://ClinicalTrials.gov">ClinicalTrials.gov</ext-link> (NCT04765605). This study was approved by the Institutional Review Board of the Chinese PLA General Hospital (S2020-010-01). Written informed consent was provided by this patient prior to this study.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p><bold>(A)</bold> Displays the segmentation of CTA datasets. <bold>(B)</bold> Shows the structural components of EMSBSG system. <bold>(C)</bold> Displays the 3D reconstructed preoperative and postoperative models. <bold>(D)</bold> Shows the separation of true lumen and false lumen. <bold>(E)</bold> Illustrates the position of tears. <bold>(F)</bold> Displays the extraction of a series of perpendicular slices along the TL centerline. <bold>(G)</bold> Displays the extraction of boundary conditions via Doppler ultrasound data.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcvm-09-869505-g0001.tif"/>
</fig>
</sec>
<sec>
<title>Image Acquisition and Geometry Reconstruction</title>
<p>The patient underwent three CTA scans before the operation (Pre-1) and at 4 and 25 days after EMSBSG implantation (Post-1 and Post-2). All three CTA datasets were acquired via a dual-source CT scanner (Brilliance iCT256, Royal Philips, Dutch). Detailed scanning parameters are available in <xref ref-type="supplementary-material" rid="SM1">Supplementary Data Sheet 2</xref>. DICOM files of Pre-1, Post-1 and Post-2 CTA datasets were exported with slice numbers of 614, 1,219 and 641, respectively. Image segmentations and three-dimensional vessel configuration reconstructions were conducted via the automatic image processing module developed by our team, with the segmentation time of 14.19 &#x000B1; 2.15 s for each case (<xref ref-type="bibr" rid="B9">9</xref>), as shown in <xref ref-type="fig" rid="F1">Figure 1A</xref>. The image segmentations were subsequently reviewed for each slice by an expert with rich experience in reading CT images with supervision by one professional vascular surgeon. Manual correction was performed as necessary. The luminal region with patency was segmented, and the cross-sectional contours of reconstructed geometries were mapped back to CTA images to ensure that the 3D-reconstructed models presented the actual outline of the vessel lumen. For each patient, segmentations were performed from the ascending aorta to the distal end of the dissection. The reconstructed models were finally exported in triangulation mesh (STL format) to facilitate the calculation of any morphological parameters. <xref ref-type="fig" rid="F1">Figure 1C</xref> shows the 3D-reconstructed aortic models of Pre-1, Post-1 and Post-2.</p>
</sec>
<sec>
<title>3D Morphological Measurements</title>
<p>Morphological parameters were measured on the basis of 3D-reconstructed models. To quantify the geometric variations of different models, an optimal alignment of the Pre-1, Post-1 and Post-2 models is a prerequisite procedure. The iterative closest point algorithm, which is the most popular method for 3D rigid registration (<xref ref-type="bibr" rid="B10">10</xref>), was used to transform postoperative models to properly align with the preoperative model. The algorithm was developed via the Visualization Toolkit (VTK) package in Python 3.9 (<ext-link ext-link-type="uri" xlink:href="https://vtk.org">https://vtk.org</ext-link>).</p>
<p>When the preoperative and postoperative models were aligned, luminal volume changes for the true lumen (TL) and false lumen (FL) were calculated (<xref ref-type="fig" rid="F1">Figure 1D</xref>) and centerlines were also extracted. To further investigate the efficacy of EMSBSG insertion, the morphological changes of the main aortic grafting region (MAGR) were also computed including volume changes and the parameters along the centerline of MAGR. In detail, a series of slices perpendicular to the centerline with an interval of 1.0 mm were first extracted (<xref ref-type="fig" rid="F1">Figure 1F</xref>) and then the morphological characteristics of each slice were computed including the area, circumference, equivalent diameter, transverse diameter, longitudinal diameter and the ratio between the transverse and longitudinal diameters (aspect ratio). The curvature and tortuosity of MAGR were also computed on the basis of the centerline. Tortuosity was defined as equation 1 (Eq. 1), where <italic>d</italic> indicates the linear distance of the centerline and <italic>l</italic> indicates the distance along the centerline. The methods used to measure each parameter are further described in <xref ref-type="supplementary-material" rid="SM1">Supplementary Data Sheet 3</xref>. The normal deformation index of MAGR from Post-1 to Post-2 was calculated to quantify luminal expansion over time.</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>T</mml:mi><mml:mi>o</mml:mi><mml:mi>r</mml:mi><mml:mi>t</mml:mi><mml:mi>u</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>t</mml:mi><mml:mi>y</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mn>1</mml:mn><mml:mtext>&#x000A0;</mml:mtext><mml:mo>-</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mfrac><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mi>l</mml:mi></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
</sec>
<sec>
<title>Doppler Ultrasound and Boundary Conditions</title>
<p>Time-variant velocities at the ascending aorta, right common carotid artery, left common carotid artery, LSA and ARSA were measured via Doppler ultrasound of the patients. At each measurement site, an appropriate ultrasound probe was employed (<xref ref-type="supplementary-material" rid="SM1">Supplementary Table 1</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Data Sheet 4</xref>). The upper edge of the velocity sonogram was extracted as the variation in the maximum velocity at the measured site (<xref ref-type="fig" rid="F1">Figure 1G</xref>). The measurements were used to provide patient-specific velocity boundary conditions for the computational model. In the current study, Doppler ultrasound data were acquired before treatment and at 4 days after treatment. Therefore, Post-1 and Post-2 were given the same boundary conditions. <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 2</xref> shows the velocity boundary conditions for Pre-1, Post-1 and Post-2 (<xref ref-type="supplementary-material" rid="SM1">Supplementary Data Sheet 4</xref>). The flow distribution ratio for each aortic arch branch, including the right common carotid artery, left common carotid artery, LSA and ARSA was computed on the basis of the Doppler ultrasound data, which was defined as the ratio of the branching flow to the inflow. Details of pulsatile waveforms of pressure at the celiac artery, superior mesenteric artery, renal arteries and outlets at iliac arteries were obtained from a previous study and used as pressure boundaries (<xref ref-type="bibr" rid="B11">11</xref>). In our previous study (<xref ref-type="bibr" rid="B12">12</xref>), measured pressure was compared with the data we used in this study, confirming the rationality of pressure boundary conditions.</p>
</sec>
<sec>
<title>Numerical Models</title>
<p>3D aortic models were meshed using ICEM (Ansys Inc., Canonsburg, USA) with tetrahedral elements in the core region and prismatic cells (10 layers) in the boundary layers near the aortic wall. The grid resolutions for Pre-1, Post-1 and Post-2 were 3397577, 2211420 and 2329161 cells, respectively. The values of the cardiac cycle extracted from Doppler ultrasound examination were 55 and 85 beats/min for pre- and post-treatment data, respectively. Temporal discretization of numerical models was assigned to be 50 steps per cycle. The transport equations of time-dependent flow were numerically solved using a finite volume solver, CFD-ACE (ESI Group, Paris, France) (<xref ref-type="supplementary-material" rid="SM1">Supplementary Data sheet 5</xref>). The blood was assumed as Newtonian and incompressible with a density of 1,044 kg/m<sup>3</sup> and dynamic viscosity of 0.00365 kg m<sup>&#x02212;1</sup> s<sup>&#x02212;1</sup>. For simulation purposes, the no-slip and rigid arterial wall was ascertained. For each model, four cardiac cycle simulations were carried out to obtain a periodic solution, and the results of the final cycle were presented for postprocessing and analysis. Grid and time step independence tests were conducted in our previous study (<xref ref-type="bibr" rid="B13">13</xref>, <xref ref-type="bibr" rid="B14">14</xref>), confirming the rationality of the base grids and base temporal resolution in this study.</p>
</sec>
<sec>
<title>Analysis of Hemodynamic Parameters</title>
<p>Qualitative and quantitative analyses were used to investigate the hemodynamic patterns at Pre-1, Post-1 and Post-2. The aortic pressure distribution and flow patterns at the systolic peak were studied. Wall shear stress (WSS) related parameters were selected to analyze the impact of EMSBSG insertion, including time-averaged wall shear stress (TAWSS), oscillatory shear index (OSI) and relative residence time (RRT). Details of the computation of WSS-related parameters are presented in <xref ref-type="supplementary-material" rid="SM1">Supplementary Data Sheet 6</xref>.</p>
<p>The luminal pressure difference (LPD) and the first balance position (FBP) were computed, which have been proven to be an efficient functional indicator of TBAD in our previous study (<xref ref-type="bibr" rid="B15">15</xref>). The spatial variation of LPD along the aorta and shift of the FBP between Pre-1, Post-1 and Post-2 were assessed. The total energy loss was evaluated in this study. The energy difference between the inlet and outlets of the aorta indicated the total energy loss during a cardiac cycle (<xref ref-type="bibr" rid="B16">16</xref>), which was defined as follows.</p>
<disp-formula id="E2"><label>(2)</label><mml:math id="M2"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>E</mml:mi><mml:mi>L</mml:mi><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>I</mml:mi><mml:mi>n</mml:mi><mml:mi>l</mml:mi><mml:mi>e</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>T</mml:mi><mml:mi>P</mml:mi><mml:msup><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mtext>&#x000A0;</mml:mtext><mml:mi>Q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mo>&#x02211;</mml:mo></mml:mrow><mml:mrow><mml:mi>O</mml:mi><mml:mi>u</mml:mi><mml:mi>t</mml:mi><mml:mi>l</mml:mi><mml:mi>e</mml:mi><mml:mi>t</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mi>T</mml:mi><mml:mi>P</mml:mi><mml:msup><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mtext>&#x000A0;</mml:mtext><mml:mi>Q</mml:mi></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Where Q is the blood flow rate. TP indicates the total pressure.</p>
<disp-formula id="E3"><label>(3)</label><mml:math id="M3"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>T</mml:mi><mml:mi>P</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac><mml:mi>&#x003C1;</mml:mi><mml:mo>|</mml:mo><mml:mover class="overrightarrow"><mml:mrow><mml:mi>u</mml:mi></mml:mrow><mml:mo>&#x020D7;</mml:mo></mml:mover><mml:msup><mml:mrow><mml:mo>|</mml:mo></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>&#x0002B;</mml:mo><mml:mi>P</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Where <italic>u</italic> and P refer to velocity and pressure, respectively.</p>
<p>The alterations in systolic peak pressure, TAWSS, OSI and RRT from Post-1 to Post-2 of MAGR were computed. In the current study, &#x00394; was used to denote the difference of the abovementioned parameter between Post-1 and Post-2, which was defined as Eq. 4.</p>
<disp-formula id="E4"><label>(4)</label><mml:math id="M4"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:mi>&#x00394;</mml:mi><mml:mi>X</mml:mi><mml:mo>=</mml:mo><mml:msubsup><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mi>P</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>X</mml:mi></mml:mrow></mml:msubsup><mml:mo>-</mml:mo><mml:msubsup><mml:mrow><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mi>P</mml:mi><mml:mi>o</mml:mi><mml:mi>s</mml:mi><mml:mi>t</mml:mi><mml:mo>-</mml:mo><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mi>X</mml:mi></mml:mrow></mml:msubsup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Where <italic>X</italic> is the previously mentioned parameters. Area ratios (AR) with positive value (AR<sub>P</sub>) and negative value (AR<sub>N</sub>) were subsequently computed for each &#x00394;<italic>X</italic>, which was defined as Eq. 5.</p>
<disp-formula id="E5"><label>(5)</label><mml:math id="M5"><mml:mtable columnalign='left'><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi>P</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>A</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi>P</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi>A</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi>P</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>A</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi>N</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mtd></mml:mtr><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi>N</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mi>A</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi>N</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:mi>A</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi>P</mml:mi></mml:msub><mml:mo>+</mml:mo><mml:mi>A</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi>N</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>To capture different aspects of the local hemodynamics, parameters including systolic peak pressure, TAWSS, OSI and RRT were averaged across the circumferences orthogonal to the centerline of MAGR and ARSA (every 1 mm).</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<sec>
<title>Morphometric Analysis</title>
<p>Morphological characteristics before and after EMSBSG insertion were quantified. As shown in <xref ref-type="fig" rid="F2">Figure 2A</xref>, both the volume of TL and MAGR increased, while the volume of FL decreased. A slight increase in tortuosity was detected from Pre-1 to Post-1 with values of 0.222 and 0.231, respectively. However, the tortuosity reduced to 0.211 in Post-2, which was smaller than that in Pre-1. Furthermore, <xref ref-type="fig" rid="F2">Figure 2C</xref> indicates the fluctuations of the curvature. The results showed that the curvature of Pre-1 and Post-1 is not only larger than that of Post-2 but also changes more dramatically than that of Post-2. The area, circumference and equivalent diameter along the MAGR centerline showed an overall increase except a slight reduction in the embedded branch port at Post-1. The region of the embedded branch port is indicated between two dotted lines in <xref ref-type="fig" rid="F2">Figure 2</xref>; while Post-2 showed luminal expansion compared with Post-1. The results of longitudinal diameter, transverse diameter and aspect ratio showed that the EMSBSG system could enlarge the vessel lumen. Both Post-1 and Post-2 showed an increase in transverse diameter and aspect ratio, and Post-2 was larger than Post-1, as shown in <xref ref-type="fig" rid="F2">Figures 2H,I</xref>. The tear information for this patient at different time-points were concluded in <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 2</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Data Sheet7</xref>.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Morphometric analysis <bold>(A)</bold> Illustrates the volume changes. <bold>(B)</bold> Shows the tortuosity changes. <bold>(C)</bold> Displays curvature alterations. <bold>(D&#x02013;F)</bold> Show the alterations of area, circumference, and equivalent diameter, respectively. <bold>(G&#x02013;I)</bold> Display the result of longitudinal diameter, transverse diameter and aspect ratio for Pre-1, Post-1 and Post-2, respectively. The region between two gray dotted lines indicates the embedded branch port zone. TL, true lumen; FL, false lumen; MAGR, main aortic grafting region.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcvm-09-869505-g0002.tif"/>
</fig>
</sec>
<sec>
<title>Pressure Fields and Velocity</title>
<p>Pressure distributions and velocity streamlines for Pre-1, Post-1 and Post-2 at the systolic peak are shown in <xref ref-type="fig" rid="F3">Figure 3</xref>, where the color map of pressure and velocity magnitude were restricted to a certain range for all cases to assist visualization. Post-1 showed higher pressure than Pre-1. The pressure dropped at the distal region near the EMSBSG region from Post-1 to Post-2. However, the pressure increased in both TL and FL in the abdominal region. The ARSA grafting region showed a continuous pressure rise after treatment. At the systolic peak, fast and organized flow was found in TL; while vortical and relatively slow flow was present in FL. The flow accelerated in MAGR of Post-1, while delayed in Post-2. In the ARSA grafting region, the velocity showed a reduction from Pre-1 to Post-1, while high-speed flow was detected in the root of ARSA in Post-1. In Post-2, the flow has a significant slow-down.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p><bold>(A&#x02013;C)</bold> Show the pressure distributions of Pre-1, Post-1 and Post-2, respectively. <bold>(D&#x02013;F)</bold> Display flow patterns at peak systole for Pre-1, Post-1 and Post-2, respectively.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcvm-09-869505-g0003.tif"/>
</fig>
</sec>
<sec>
<title>WSS-Based Parameter Analysis</title>
<p>Loading patterns are crucial for hemodynamic analysis of vessel remodeling after stent-graft implantation. <xref ref-type="fig" rid="F4">Figure 4</xref> shows the distributions of TAWSS, OSI and RRT of Pre-1, Post-1 and Post-2. Before treatment, we observed a high TAWSS concentration in the root of ARSA (<xref ref-type="fig" rid="F4">Figure 4A</xref>). With EMSBSG insertion, TAWSS elevated in the both MAGR and ARSA grafting regions at Post-1 while declined at Post-2, as shown in <xref ref-type="fig" rid="F4">Figures 4B,C</xref>. OSI contour plots are shown in <xref ref-type="fig" rid="F4">Figures 4D&#x02013;F</xref>. There were some high OSI regions before surgery, while OSI decreased in the EMSBSG region at Post-1, and Post-2 showed a further reduction. <xref ref-type="fig" rid="F4">Figure 4G</xref> displays the low RRT of the preoperative model, while high RRT appeared in the FL region of Post-1, as indicated in <xref ref-type="fig" rid="F4">Figure 4H</xref>. The zone showed high RRT in Post-1 thrombosed in Post-2, as shown in <xref ref-type="fig" rid="F4">Figure 4I</xref>.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>WSS-based parameter <bold>(A&#x02013;C)</bold> Show the TAWSS distributions. <bold>(D&#x02013;F)</bold> Display the results of OSI contour plots. <bold>(G&#x02013;I)</bold> Illustrate the RRT patterns. WSS, wall shear stress; TAWSS, time-averaged wall shear stress; OSI, oscillatory shear index; RRT, relative residence time.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcvm-09-869505-g0004.tif"/>
</fig>
</sec>
<sec>
<title>Quantitative Analysis of Hemodynamic Status</title>
<p>To investigate the LPD between the TL and FL, a series of slices perpendicular to the centerline of the TL were extracted and the net pressures in the TL (P<sub>TL</sub>) and FL (P<sub>FL</sub>) on each slice over a cardiac cycle were calculated. <xref ref-type="fig" rid="F5">Figure 5A</xref> displays the LPD (LPD = P<sub>TL</sub> &#x02013; P<sub>FL</sub>) for each case. The FBP of LPD shifted to the abdominal aorta distally in Post-1, with a shift distance of 20.172 cm from Pre-1 to Post-1. Moreover, the FBP of the LPD shifted out of the dissected region at Post-2. The energy loss was compared among Pre-1, Post-1 and Post-2 (<xref ref-type="fig" rid="F5">Figure 5B</xref>). Pre-1 showed the lowest energy loss with a value of 5.19 W and it increased to 8.39 W after EMSBSG procedure. However, a slight drop was observed in Post-2 at a value of 7.86 W. The flow distribution ratio showed a general increase for each aortic arch branch after EMSBSG intervention, as shown in <xref ref-type="fig" rid="F5">Figure 5C</xref>.</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p><bold>(A)</bold> Shows the time-averaged LPD curves of Pre-1, Post-1 and Post-2. The FBP shifting distance is 20.172 cm after intervention. <bold>(B)</bold> Displays the total energy loss of Pre-1, Post-1 and Post-2. <bold>(C)</bold> Indicates the changes of flow distribution ratio from Pre-1 to Post-1. LPD, luminal pressure difference; FBP, first balance position; RCC, right common carotid artery; LCC, left common carotid artery; LSA, left subclavian artery; ARSA, aberrant right subclavian artery.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcvm-09-869505-g0005.tif"/>
</fig>
<p>Examinations of the spatial differences in peak systolic pressure, TAWSS, OSI and RRT demonstrated the patterns along the MAGR and ARSA regions (<xref ref-type="fig" rid="F6">Figure 6</xref>). In MAGR, pressure and TAWSS increased after EMSBSG placement, while declined slightly at Post-2 (<xref ref-type="fig" rid="F6">Figures 6A,B</xref>). Both OSI and RRT showed a significant decrease from Pre-1 to Post-1 (<xref ref-type="fig" rid="F6">Figure 6C</xref>). In the ARSA grafting region, the peak systolic pressure showed a continuous rise after EMSBSG implantation, as shown in <xref ref-type="fig" rid="F6">Figure 6E</xref>. TAWSS and RRT increased first at Post-1 and then declined at Post-2 (<xref ref-type="fig" rid="F6">Figures 6F,H</xref>). The hemodynamic parameter alterations from Post-1 to Post-2 were further analyzed (detailed later).</p>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p>Patterns of pressure, TAWSS, OSI and RRT along the MAGR and ARSA region. <bold>(A&#x02013;D)</bold> Show the hemodynamic patterns for MAGR via solid lines. <bold>(E&#x02013;H)</bold> Demonstrate the hemodynamic patterns for ARSA region using dotted lines. MAGR, main aortic grafting region; ARSA, aberrant right subclavian artery; TAWSS, time-averaged wall shear stress; OSI, oscillatory shear index; RRT, relative residence time.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcvm-09-869505-g0006.tif"/>
</fig>
</sec>
<sec>
<title>Prognostic Improvement Analysis</title>
<p>To quantify the prognostic improvement, the evolution fields obtained by registration are shown in <xref ref-type="fig" rid="F7">Figure 7</xref>. <xref ref-type="fig" rid="F7">Figure 7A</xref> displays the normal deformation index contour plot, which illustrates the vessel lumen changes over time after EMSBSG placement. <xref ref-type="fig" rid="F7">Figures 7B&#x02013;E</xref> show the alterations of systolic peak pressure, TAWSS, OSI and RRT from Post-1 to Post-2, respectively. <xref ref-type="fig" rid="F7">Figure 7F</xref> displays the AR of each previously mentioned parameter. The AR<sub>N</sub> was larger than the AR<sub>P</sub> for all factors, indicating that all of these parameters decreased from Post-1 to Post-2, which might designate a good prognostic result in MAGR.</p>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p>Contour plots for the evolution fields by registration <bold>(A)</bold> Shows the normal deformation index field. <bold>(B&#x02013;E)</bold> Display the alterations of pressure, TAWSS, OSI and RRT, respectively. <bold>(F)</bold> Illustrates the AR of positive value and negative value for pressure, TAWSS, OSI and RRT. TAWSS, time-averaged wall shear stress; OSI, oscillatory shear index; RRT, relative residence time; ARP, area ratio with positive value; ARN, area ratio with negative value.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fcvm-09-869505-g0007.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>Discussion</title>
<p>This study is based on a longitudinal dataset of one patient with originally TBAD accompanied by ARSA, treated with EMSBSG. The EMSBSG technique used to treat TBAD with ARSA should exclude the principal tear, restore TL morphology and preserve the blood flow toward the arch branch vessels. To investigate the therapeutic effect of this novel technique, 2 key factors for the vascular system including morphology and hemodynamics were computed. The former, representing the structural features of vessels, is now widely used clinically. The latter, as a functional estimation, is related to pathogenetic mechanisms and might contribute to prognosis prediction after management.</p>
<p>CFD is widely used in TBAD to assess hemodynamic features, including flow patterns (<xref ref-type="bibr" rid="B13">13</xref>, <xref ref-type="bibr" rid="B17">17</xref>), post-stenting flow effects (<xref ref-type="bibr" rid="B15">15</xref>), thrombosis establishment (<xref ref-type="bibr" rid="B13">13</xref>, <xref ref-type="bibr" rid="B18">18</xref>) and implantation plans (<xref ref-type="bibr" rid="B19">19</xref>, <xref ref-type="bibr" rid="B20">20</xref>). These studies contributed greatly to our understanding of TBAD and its prognosis after treatment. However, the evaluation of EMSBSG in treating TBAD with ARSA has not been fully assessed. In the present study, patient-specific models were reconstructed based on CTA images and patient-specific flow boundaries were obtained from ultrasound velocimetry. A possible relationship between prognosis and morphometric and hemodynamic indicators was subsequently detected in this patient.</p>
<p>The results of volume analysis and morphology parameter changes along the MAGR centerline indicated TL and FL progression after EMSBSG implantation. The tortuosity increased in Post-1, while decreased in Post-2. This might be induced by the placement of the stent graft. In a short follow-up period, the stent complies with the aorta morphology, thus we could see an increase in tortuosity in Post-1. However, the stent graft has an inherent tendency to spring back to its initial straight status when passively bent at the aortic arch (<xref ref-type="bibr" rid="B21">21</xref>). Therefore, tortuosity decreased in Post-2. This case should be closely monitored in the future to avoid the stent-graft induced injury because the spring-back could generate stress on the greater curve at the distal end (<xref ref-type="bibr" rid="B21">21</xref>).</p>
<p>The SG implantation procedure might stiff the thoracic aorta and reduce the radial strain within the stented segment. Increased conduit stiffness elevates pulse wave velocity, leading to increased pulse pressure (<xref ref-type="bibr" rid="B22">22</xref>&#x02013;<xref ref-type="bibr" rid="B24">24</xref>), thus resulting in adverse cardiac remodeling (<xref ref-type="bibr" rid="B25">25</xref>, <xref ref-type="bibr" rid="B26">26</xref>). Moreover, flow acceleration could potentially indicate the risk of stent graft migration (<xref ref-type="bibr" rid="B27">27</xref>, <xref ref-type="bibr" rid="B28">28</xref>). This information informed us to monitor high flow and pressure patterns after EMSBSG treatment. In the current study both pressure distributions and flow patterns increased at Post-1, while decreased at Post-2 in MAGR. Quantitative analysis of the AR of &#x00394;pressure also showed that AR<sub>N</sub> was larger than AR<sub>P</sub> (<xref ref-type="fig" rid="F7">Figure 7F</xref>). The aortic lumen expanded significantly at Post-2 compared to Post-1. In fact, the flow environment is highly related to the morphology of the vessel. With the positive aortic modeling due to the stent expansion, the blood velocity and the pressure are commonly reduced. Our findings also indicated that the risk of stent migration was relatively low in our patient treated by EMSBSG. However, the velocity and pressure increased from the arch to the descending aorta in both Post-1 and Post-2. This might be induced by the embedded branch port of ARSA. Even though a reduction of velocity and pressure was obvious from Post-1 to Post-2, more follow-up images will be needed in the future to further evaluate the luminal remodeling. To further explore the pressure and flow patterns of other stent techniques, two cases with provisional extension to induce complete attachment technique (with bare mental stent) and traditional thoracic endovascular aortic repair technique (without bare mental stent) were also investigated, as shown in the <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 3</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Data Sheet 8</xref>.</p>
<p>Analyses of EMSBSG regional mechanisms were conducted to investigate the prognostic improvement. The normal deformation index in the whole MAGR quantifies the TL expansion from Post-1 to Post-2. The elevation in TAWSS and OSI could indicate poor prognosis, such as graft immigration (<xref ref-type="bibr" rid="B19">19</xref>). The dominant AR<sub>N</sub> of TAWSS and OSI was observed in this study, suggesting a favorable prognosis in the EMSBSG region. High RRT has been found to correlate with thrombosis absorption (<xref ref-type="bibr" rid="B13">13</xref>, <xref ref-type="bibr" rid="B29">29</xref>), which is usually considered a positive event in TBAD management. In our patient, high RRT appeared at the FL proximal tip, where thrombosed at Post-2 (<xref ref-type="fig" rid="F4">Figures 4H,I</xref>), consistent with our previous findings (<xref ref-type="bibr" rid="B13">13</xref>). However, as shown in <xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 4</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Data Sheet 9</xref>, low RRT in abdominal FL may imply the negative remodeling of FL; high TAWSS regions were also observed in this region, which might not lead to constructive FL remodeling (<xref ref-type="bibr" rid="B18">18</xref>, <xref ref-type="bibr" rid="B30">30</xref>). Low RRT and high TAWSS in the abdominal TL region may be induced by re-entry tears located above the celiac artery and those near the right renal artery (<xref ref-type="supplementary-material" rid="SM1">Supplementary Figure 5</xref>; <xref ref-type="supplementary-material" rid="SM1">Supplementary Data Sheet 9</xref>). Therefore, frequent monitoring of the abdominal aorta region in this patient is needed in the future.</p>
<p>FBP shifted out of the dissected region at Post-2 (25 days after intervention), implying positive aortic remodeling (<xref ref-type="bibr" rid="B15">15</xref>). An instant rise was observed in total energy loss from Pre-1 to Post-1 while a subsequent decline appeared in Post-2. This potentially suggests that although the resistance of the EMSBSG region increases in a short period, it will decrease with dilation of the arterial wall. The ability of EMSBSG to preserve the blood flow for branched vessels was examined via computation of the flow distribution ratio. As shown in <xref ref-type="fig" rid="F5">Figure 5C</xref>, we could see elevated flow distribution ratios for each aortic arch branch after the treatment procedure. The results showed that EMSBSG could maintain the flow toward the branch vessels, although the flow distribution ratios of branches were still smaller than that of the normal model (<xref ref-type="bibr" rid="B31">31</xref>), which might be due to the short follow-up period (4 days after intervention). Furthermore, the existence of dissection and the reverse tear located near the LSA may account for the limited blood flow into branches in Pre-1.</p>
<p>This study also investigated the risk of distal stent-induced new entry (SINE) after stent insertion. The main stent used for this case is 34&#x02013;26&#x02013;160 mm with 8 mm tapering. The proximal and distal oversizing is 5.8% and 15.3%, respectively. The poststent oversizing ratio of cross-sectional area was also calculated, with the value of 0.553 and 0.811 for Post-1 and Post-2, respectively. Although the value of poststent oversizing ratio of area is not in the range of those with distal SINE (<xref ref-type="bibr" rid="B32">32</xref>, <xref ref-type="bibr" rid="B33">33</xref>), either for Post-1 or Post-2. However, it increases from Post-1 to Post-2, which indicates a close follow-up is needed in the future. Furthermore, the change of tortuosity also shows that close monitor is necessary in the future to avoid the distal SINE (<xref ref-type="bibr" rid="B21">21</xref>).</p>
<p>Image-based CFD simulation has been widely accepted as an alternative approach to study the hemodynamic properties, due to the difficulty of studying the outcome directly <italic>in vivo</italic>. Hemodynamic indicators could help to evaluate the efficacy of treatment options, such as the Norwood procedure (<xref ref-type="bibr" rid="B34">34</xref>, <xref ref-type="bibr" rid="B35">35</xref>), thoracic endovascular aortic repair and hybrid treatment procedure (<xref ref-type="bibr" rid="B13">13</xref>, <xref ref-type="bibr" rid="B15">15</xref>). However, hemodynamic simulation might be limited for that focuses on the vessel wall motion or that aims to investigate the mechanical interaction between vessel wall and the stent grafts due to the simplification of rigid wall in hemodynamic analysis.</p>
<p>This study was conducted based on two longitudinal follow-up datasets of one patient who suffered from TBAD with ARSA. Indeed, large cohorts of patients and closed long-term follow-ups are warranted to draw more substantial clinical conclusions. However, the rare coexistence of TBAD and ARSA poses challenges for multiple case collections. In addition, boundary condition data of Post-2 came from the Doppler ultrasound data of Post-1 due to the absence of ultrasound measurement in Post-2. This might introduce deviations to the results, although boundary condition data calibration was conducted according to the geometrical features of the Post-2 model. Furthermore, to save computing time, flow analyses were based on CFD with the rigid wall assumption in the present study, which might overestimate the values of hemodynamic parameters. Although the simulation pipeline was previously validated by 4-dimensional phase-contrast magnetic resonance (<xref ref-type="bibr" rid="B36">36</xref>), accuracy needs to be continuously improved by performing fluid-structure interaction analysis, which could provide more detailed and accurate information on functional indictors in the future.</p>
</sec>
<sec sec-type="conclusions" id="s5">
<title>Conclusions</title>
<p>In this study, a novel stent graft technique (EMSBSG) was applied to treat TBAD with ARSA and a hemodynamic assessment tool was proposed to evaluate the therapeutic effect for the aortic disease with complex morphology. It showed that EMSBSG could lead to the positive remodeling of the aorta and preserve the blood flow of aortic arch branches, confirming the efficacy of this technique in treating TBAD with ARSA. Hemodynamic indicators could also imply potential negative remodeling, thus informing the necessity of subsequent intervention.</p>
</sec>
<sec sec-type="data-availability" id="s6">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s11">Supplementary Material</xref>, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s7">
<title>Ethics Statement</title>
<p>The studies involving human participants were reviewed and approved by Chinese PLA General Hospital. The patients/participants provided their written informed consent to participate in this study.</p>
</sec>
<sec id="s8">
<title>Author Contributions</title>
<p>DC, JZ, JX, and WG designed research studies. ZW and HD collected the patient data. XZ, MW, SL, SX, and HJ analyzed the data. DC, XZ, and JS wrote the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>This study was supported by the Beijing Natural Science Foundation (Z190014, 7212094, and L192045), the National Natural Science Foundation of China (81970404 and 82170498), the Beijing Municipal Science and Technology Project (Z211100002921048), and the Jiangsu Health Commission Sponsored Medical Research Project (M2020007).</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<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&#x00027;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>
</body>
<back><sec sec-type="supplementary-material" id="s11">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fcvm.2022.869505/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fcvm.2022.869505/full#supplementary-material</ext-link></p>
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</ref-list>
<glossary>
<def-list>
<title>Abbreviations</title>
<def-item><term>ARSA</term>
<def><p>aberrant right subclavian artery</p></def></def-item>
<def-item><term>TBAD</term>
<def><p>type B aortic dissection</p></def></def-item>
<def-item><term>EMSBSG</term>
<def><p>embedded modular single-branched stent graft</p></def></def-item>
<def-item><term>LSA</term>
<def><p>left subclavian artery</p></def></def-item>
<def-item><term>TL</term>
<def><p>true lumen</p></def></def-item>
<def-item><term>FL</term>
<def><p>false lumen</p></def></def-item>
<def-item><term>MAGR</term>
<def><p>main aortic grafting region</p></def></def-item>
<def-item><term>CFD</term>
<def><p>Computational fluid dynamics</p></def></def-item>
<def-item><term>WSS</term>
<def><p>wall shear stress</p></def></def-item>
<def-item><term>TAWSS</term>
<def><p>time-averaged wall shear stress</p></def></def-item>
<def-item><term>OSI</term>
<def><p>oscillatory shear index</p></def></def-item>
<def-item><term>RRT</term>
<def><p>relative residence time</p></def></def-item>
<def-item><term>LPD</term>
<def><p>luminal pressure difference</p></def></def-item>
<def-item><term>FBP</term>
<def><p>first balance position</p></def></def-item>
<def-item><term>AR</term>
<def><p>area ratio</p></def></def-item>
<def-item><term>SINE</term>
<def><p>stent-induced new entry.</p></def></def-item>
</def-list>
</glossary> 
</back>
</article>