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Laita N, Aparici-Gil A, Oliván-Viguera A, Pérez-Martínez A, Martínez MÁ, Doblaré M, Peña E. A comprehensive experimental analysis of the local passive response across the healthy porcine left ventricle. Acta Biomater 2024; 187:261-277. [PMID: 39187146 DOI: 10.1016/j.actbio.2024.08.028] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/29/2024] [Revised: 08/07/2024] [Accepted: 08/20/2024] [Indexed: 08/28/2024]
Abstract
This work provides a comprehensive characterization of porcine myocardial tissue, combining true biaxial (TBx), simple triaxial shear (STS) and confined compression (CC) tests to analyze its elastic behavior under cyclic loads. We expanded this study to different zones of the ventricular free wall, providing insights into the local behavior along the longitudinal and radial coordinates. The aging impact was also assessed by comparing two age groups (4 and 8 months). Resulting data showed that the myocardium exhibits a highly nonlinear hyperelastic and incompressible behavior. We observed an anisotropy ratio of 2-2.4 between averaged peak stresses in TBx tests and 1-0.59-0.40 orthotropy ratios for normalised fiber-sheet-normal peak stresses in STS tests. We obtained a highly incompressible response, reaching volumetric pressures of 2-7 MPa for perfused tissue in CC tests, with notable differences when fluid drainage was allowed, suggesting a high permeability. Regional analysis showed reduced stiffness and anisotropy (20-25%) at the apical region compared to the medial, which we attributed to differences in the fiber field dispersion. Compressibility also increased towards the epicardium and apical regions. Regarding age-related variations, 8-month animals showed stiffer response (at least 25% increase), particularly in directions where the mechanical stress is absorbed by collagenous fibers (more than 90%), as supported by a histological analysis. Although compressibility of perfused tissue remained unchanged, permeability significantly reduced in 8-month-old animals. Our findings offer new insights into myocardial properties, emphasizing on local variations, which can help to get a more realistic understanding of cardiac mechanics in this common animal model. STATEMENT OF SIGNIFICANCE: In this work, we conducted a comprehensive analysis of the passive mechanical behavior of porcine myocardial tissue through biaxial, triaxial shear, and confined compression tests. Unlike previous research, we investigated the variation in mechanical response across the left ventricular free wall, conventionally assumed homogeneous, revealing differences in terms of stiffness and compressibility. Additionally, we evaluated age-related effects on mechanical properties by comparing two age groups, observing significant variations in stiffness and permeability. To date, there has been no such in-depth exploration of myocardial elastic response and compressibility considering regional variations along the wall and may contribute to a better understanding of the cardiac tissue's passive mechanical response.
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Affiliation(s)
- Nicolás Laita
- Aragon Institute of Engineering Research (I3A), University of Zaragoza-Spain Spain.
| | - Alejandro Aparici-Gil
- Aragon Institute of Engineering Research (I3A), University of Zaragoza-Spain Spain; Biomedical Research Networking Center in Bioengineering, Biomaterials and Nanomedicine (CIBER-BBN)-Spain Spain
| | - Aida Oliván-Viguera
- Aragon Institute of Engineering Research (I3A), University of Zaragoza-Spain Spain; Biomedical Research Networking Center in Bioengineering, Biomaterials and Nanomedicine (CIBER-BBN)-Spain Spain; Aragon Institute of Health Research (IIS Aragon)-Spain Spain
| | - Alba Pérez-Martínez
- Aragon Institute of Engineering Research (I3A), University of Zaragoza-Spain Spain; Biomedical Research Networking Center in Bioengineering, Biomaterials and Nanomedicine (CIBER-BBN)-Spain Spain; Aragon Institute of Health Research (IIS Aragon)-Spain Spain
| | - Miguel Ángel Martínez
- Aragon Institute of Engineering Research (I3A), University of Zaragoza-Spain Spain; Biomedical Research Networking Center in Bioengineering, Biomaterials and Nanomedicine (CIBER-BBN)-Spain Spain
| | - Manuel Doblaré
- Aragon Institute of Engineering Research (I3A), University of Zaragoza-Spain Spain; Biomedical Research Networking Center in Bioengineering, Biomaterials and Nanomedicine (CIBER-BBN)-Spain Spain; Aragon Institute of Health Research (IIS Aragon)-Spain Spain; Nanjing Tech University-China China
| | - Estefanía Peña
- Aragon Institute of Engineering Research (I3A), University of Zaragoza-Spain Spain; Biomedical Research Networking Center in Bioengineering, Biomaterials and Nanomedicine (CIBER-BBN)-Spain Spain
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Bechtel GN, Kostelnik CJ, Rausch MK. How well do 3D-printed tissue mimics represent the complex mechanics of biological soft tissues? An example study with Stratasys' cardiovascular TissueMatrix materials. J Biomed Mater Res A 2024. [PMID: 39210577 DOI: 10.1002/jbm.a.37787] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/19/2024] [Revised: 07/04/2024] [Accepted: 08/10/2024] [Indexed: 09/04/2024]
Abstract
Tissue mimicking materials are designed to represent real tissue in applications such as medical device testing and surgical training. Thanks to progress in 3D-printing technology, tissue mimics can now be easily cast into arbitrary geometries and manufactured with adjustable material properties to mimic a wide variety of tissue types. However, it is unclear how well 3D-printable mimics represent real tissues and their mechanics. The objective of this work is to fill this knowledge gap using the Stratasys Digital Anatomy 3D-Printer as an example. To this end, we created mimics of biological tissues we previously tested in our laboratory: blood clots, myocardium, and tricuspid valve leaflets. We printed each tissue mimic to have the identical geometry to its biological counterpart and tested the samples using identical protocols. In our evaluation, we focused on the stiffness of the tissues and their fracture toughness in the case of blood clots. We found that the mechanical behavior of the tissue mimics often differed substantially from the biological tissues they aim to represent. Qualitatively, tissue mimics failed to replicate the traditional strain-stiffening behavior of soft tissues. Quantitatively, tissue mimics were stiffer than their biological counterparts, especially at small strains, in some cases by orders of magnitude. In those materials in which we tested toughness, we found that tissue mimicking materials were also much tougher than their biological counterparts. Thus, our work highlights limitations of at least one 3D-printing technology in its ability to mimic the mechanical properties of biological tissues. Therefore, care should be taken when using this technology, especially where tissue mimicking materials are expected to represent soft tissue properties quantitatively. Whether other technologies fare better remains to be seen.
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Affiliation(s)
- Grace N Bechtel
- Department of Biomedical Engineering, The University of Texas at Austin, Austin, Texas, USA
| | - Colton J Kostelnik
- Department of Biomedical Engineering, The University of Texas at Austin, Austin, Texas, USA
| | - Manuel K Rausch
- Department of Biomedical Engineering, The University of Texas at Austin, Austin, Texas, USA
- Department of Aerospace Engineering & Engineering Mechanics, The University of Texas at Austin, Austin, Texas, USA
- Department of Mechanical Engineering, The University of Texas at Austin, Austin, Texas, USA
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Nguyen Q, Lejeune E. Segmenting mechanically heterogeneous domains via unsupervised learning. Biomech Model Mechanobiol 2024; 23:349-372. [PMID: 38217746 DOI: 10.1007/s10237-023-01779-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/28/2023] [Accepted: 09/30/2023] [Indexed: 01/15/2024]
Abstract
From biological organs to soft robotics, highly deformable materials are essential components of natural and engineered systems. These highly deformable materials can have heterogeneous material properties, and can experience heterogeneous deformations with or without underlying material heterogeneity. Many recent works have established that computational modeling approaches are well suited for understanding and predicting the consequences of material heterogeneity and for interpreting observed heterogeneous strain fields. In particular, there has been significant work toward developing inverse analysis approaches that can convert observed kinematic quantities (e.g., displacement, strain) to material properties and mechanical state. Despite the success of these approaches, they are not necessarily generalizable and often rely on tight control and knowledge of boundary conditions. Here, we will build on the recent advances (and ubiquity) of machine learning approaches to explore alternative approaches to detect patterns in heterogeneous material properties and mechanical behavior. Specifically, we will explore unsupervised learning approaches to clustering and ensemble clustering to identify heterogeneous regions. Overall, we find that these approaches are effective, yet limited in their abilities. Through this initial exploration (where all data and code are published alongside this manuscript), we set the stage for future studies that more specifically adapt these methods to mechanical data.
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Affiliation(s)
- Quan Nguyen
- Department of Mechanical Engineering, Boston University, Boston, MA, 02215, USA
| | - Emma Lejeune
- Department of Mechanical Engineering, Boston University, Boston, MA, 02215, USA.
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4
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Kakaletsis S, Malinowski M, Snider JC, Mathur M, Sugerman GP, Luci JJ, Kostelnik CJ, Jazwiec T, Bersi MR, Timek TA, Rausch MK. Untangling the mechanisms of pulmonary arterial hypertension-induced right ventricular stiffening in a large animal model. Acta Biomater 2023; 171:155-165. [PMID: 37797706 PMCID: PMC11048731 DOI: 10.1016/j.actbio.2023.09.043] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/04/2023] [Revised: 09/20/2023] [Accepted: 09/26/2023] [Indexed: 10/07/2023]
Abstract
Pulmonary hypertension (PHT) is a devastating disease with low survival rates. In PHT, chronic pressure overload leads to right ventricle (RV) stiffening; thus, impeding diastolic filling. Multiple mechanisms may contribute to RV stiffening, including wall thickening, microstructural disorganization, and myocardial stiffening. The relative importance of each mechanism is unclear. Our objective is to use a large animal model to untangle these mechanisms. Thus, we induced pulmonary arterial hypertension (PAH) in sheep via pulmonary artery banding. After eight weeks, the hearts underwent anatomic and diffusion tensor MRI to characterize wall thickening and microstructural disorganization. Additionally, myocardial samples underwent histological and gene expression analyses to quantify compositional changes and mechanical testing to quantify myocardial stiffening. Finally, we used finite element modeling to disentangle the relative importance of each stiffening mechanism. We found that the RVs of PAH animals thickened most at the base and the free wall and that PAH induced excessive collagen synthesis, increased cardiomyocyte cross-sectional area, and led to microstructural disorganization, consistent with increased expression of fibrotic genes. We also found that the myocardium itself stiffened significantly. Importantly, myocardial stiffening correlated significantly with collagen synthesis. Finally, our computational models predicted that myocardial stiffness contributes to RV stiffening significantly more than other mechanisms. Thus, myocardial stiffening may be the most important predictor for PAH progression. Given the correlation between myocardial stiffness and collagen synthesis, collagen-sensitive imaging modalities may be useful for estimating myocardial stiffness and predicting PAH outcomes. STATEMENT OF SIGNIFICANCE: Ventricular stiffening is a significant contributor to pulmonary hypertension-induced right heart failure. However, the mechanisms that lead to ventricular stiffening are not fully understood. The novelty of our work lies in answering this question through the use of a large animal model in combination with spatially- and directionally sensitive experimental techniques. We find that myocardial stiffness is the primary mechanism that leads to ventricular stiffening. Clinically, this knowledge may be used to improve diagnostic, prognostic, and therapeutic strategies for patients with pulmonary hypertension.
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Affiliation(s)
- Sotirios Kakaletsis
- Department of Aerospace Engineering & Engineering Mechanics, The University of Texas at Austin, Austin, TX, USA
| | - Marcin Malinowski
- Division of Cardiothoracic Surgery, Spectrum Health, Grand Rapids, MI, USA; Department of Cardiac Surgery, Medical University of Silesia, Katowice, Poland
| | - J Caleb Snider
- Department of Mechanical Engineering & Materials Science, Washington University at St. Louis, St. Louis, MO, USA
| | - Mrudang Mathur
- Department of Mechanical Engineering, The University of Texas at Austin, TX, USA
| | - Gabriella P Sugerman
- Department of Biomedical Engineering, The University of Texas at Austin, TX, USA
| | - Jeffrey J Luci
- Center for Advanced Human Brain Imaging Research, Rutgers University, Piscataway, NJ, USA; Scully Neuroimaging Center, Princeton University, Princeton, NJ, USA
| | - Colton J Kostelnik
- Department of Mechanical Engineering, The University of Texas at Austin, TX, USA; Department of Biomedical Engineering, The University of Texas at Austin, TX, USA
| | - Tomasz Jazwiec
- Division of Cardiothoracic Surgery, Spectrum Health, Grand Rapids, MI, USA; Department of Cardiac, Vascular and Endovascular Surgery and Transplantology, Medical University of Silesia in Katowice, Silesian Centre for Heart Diseases, Zabrze, Poland
| | - Matthew R Bersi
- Department of Mechanical Engineering & Materials Science, Washington University at St. Louis, St. Louis, MO, USA
| | - Tomasz A Timek
- Division of Cardiothoracic Surgery, Spectrum Health, Grand Rapids, MI, USA
| | - Manuel K Rausch
- Department of Aerospace Engineering & Engineering Mechanics, The University of Texas at Austin, Austin, TX, USA; Department of Mechanical Engineering, The University of Texas at Austin, TX, USA; Department of Biomedical Engineering, The University of Texas at Austin, TX, USA.
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Hussein TM, Criscione JC. A New Strain Energy Function Representing the Passive Behavior of the Myocardium. J Biomech Eng 2023; 145:111004. [PMID: 37338238 DOI: 10.1115/1.4062778] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/11/2022] [Accepted: 06/08/2023] [Indexed: 06/21/2023]
Abstract
Classical models for the passive myocardium, such as the Fung and Holzapfel-Ogden models, are known to have high degeneracy as well as numerous mechanical and mathematical limitations, preventing their utility in microstructural experiments and precision medicine. Hence, the upper triangular (QR) decomposition and orthogonal strain attributes were leveraged to develop a new model using published biaxial data on slabs of left myocardium, resulting in a separable strain energy function. This new model, the Criscione-Hussein model, was compared with both the Fung and Holzapfel-Ogden models by quantifying the uncertainty, computational efficiency, and material parameter fidelity for all three models. As a result, the Criscione-Hussein model was found to significantly reduce the uncertainty and computational time (p < 0.05) and enhance the fidelity of the material parameters. Hence, the Criscione-Hussein model enhances the predictability for the passive behavior of the myocardium and may serve a role in creating more accurate computational models that provide better visualizations for the mechanical behavior of the heart and enable the experimental connection between the model and the myocardial microstructure.
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Affiliation(s)
- Tawfik M Hussein
- Department of Biomedical Engineering, Texas A&M University, College Station 77843-3120, TX
| | - John C Criscione
- Department of Biomedical Engineering, Texas A&M University, College Station 77843-3120, TX
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Ahmad F, Soe S, Albon J, Errington R, Theobald P. Quantifying the microstructural and biomechanical changes in the porcine ventricles during growth and remodelling. Acta Biomater 2023; 171:166-192. [PMID: 37797709 DOI: 10.1016/j.actbio.2023.09.044] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/23/2023] [Revised: 09/19/2023] [Accepted: 09/26/2023] [Indexed: 10/07/2023]
Abstract
Cardiac tissue growth and remodelling (G & R) occur in response to the changing physiological demands of the heart after birth. The early shift to pulmonary circulation produces an immediate increase in ventricular workload, causing microstructural and biomechanical changes that serve to maintain overall physiological homoeostasis. Such cardiac G & R continues throughout life. Quantifying the tissue's mechanical and microstructural changes because of G & R is of increasing interest, dovetailing with the emerging fields of personalised and precision solutions. This study aimed to determine equibiaxial, and non-equibiaxial extension, stress-relaxation, and the underlying microstructure of the passive porcine ventricles tissue at four time points spanning from neonatal to adulthood. The three-dimensional microstructure was investigated via two-photon excited fluorescence and second-harmonic generation microscopy on optically cleared tissues, describing the 3D orientation, rotation and dispersion of the cardiomyocytes and collagen fibrils. The results revealed that during biomechanical testing, myocardial ventricular tissue possessed non-linear, anisotropic, and viscoelastic behaviour. An increase in stiffness and viscoelasticity was noted for the left and right ventricular free walls from neonatal to adulthood. Microstructural analyses revealed concomitant increases in cardiomyocyte rotation and dispersion. This study provides baseline data, describing the biomechanical and microstructural changes in the left and right ventricular myocardial tissue during G & R, which should prove valuable to researchers in developing age-specific, constitutive models for more accurate computational simulations. STATEMENT OF SIGNIFICANCE: There is a dearth of experimental data describing the growth and remodelling of left and right ventricular tissue. The published literature is fragmented, with data reported via different experimental techniques using tissues harvested from a variety of animals, with different gender and ages. This prevents developing a continuum of data spanning birth to death, so limiting the potential that can be leveraged to aid computational modelling and simulations. In this study, equibiaxial, non-equibiaxial, and stress-relaxation data are presented, describing directional-dependent material responses. The biomechanical data is consolidated with equivalent microstructural data, an important element for the development of future material models. Combined, these data describe microstructural and biomechanical changes in the ventricles, spanning G &R from neonatal to adulthood.
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Affiliation(s)
- Faizan Ahmad
- School of Engineering, Cardiff University, UK; School of Health Sciences, Birmingham City University, UK.
| | - Shwe Soe
- FET - Engineering, Design and Mathematics, University of West of England, UK
| | - Julie Albon
- School of Optometry and Vision Sciences, Cardiff University, UK; Viva Scientia Bioimaging Laboratories, Cardiff University, UK
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Zijian L, Fangqun W, Fenglian Z, Yu G, Shaojun W. Optimal assist strategy exploration for a direct assist device under stress‒strain dynamics. BIOMED ENG-BIOMED TE 2023; 68:511-521. [PMID: 37222653 DOI: 10.1515/bmt-2022-0352] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/05/2022] [Accepted: 04/13/2023] [Indexed: 05/25/2023]
Abstract
OBJECTIVES The aim of this paper is to introduce a new assist strategy for a direct assist device that can enhance the heart's pumping efficiency and decrease the chances of myocardial injury in contrast to the conventional assist strategy. METHODS We established a finite element model of a biventricular heart, divided the ventricles into several regions, and applied pressure to each region separately in order to identify the primary and secondary assist areas. Then combined and tested these areas to obtain the optimal assist strategy. RESULTS The results indicate that our method exhibits an assist efficiency approximately ten times higher than that of the traditional assist method. Additionally, the stress distribution in the ventricles is more uniform after assistance. CONCLUSIONS In summary, this approach can result in a more homogenous stress distribution within the heart while also minimizing the contact area with it, which can reduce the incidence of allergic reactions and the likelihood of myocardial injury.
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Affiliation(s)
- Li Zijian
- School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, China
| | - Wang Fangqun
- School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, China
| | - Zhu Fenglian
- School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, China
| | - Gao Yu
- School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, China
| | - Wang Shaojun
- School of Electrical and Information Engineering, Jiangsu University, Zhenjiang, China
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Giolando P, Kakaletsis S, Zhang X, Weickenmeier J, Castillo E, Dortdivanlioglu B, Rausch MK. AI-dente: an open machine learning based tool to interpret nano-indentation data of soft tissues and materials. SOFT MATTER 2023; 19:6710-6720. [PMID: 37622379 PMCID: PMC10499084 DOI: 10.1039/d3sm00402c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/26/2023] [Accepted: 08/10/2023] [Indexed: 08/26/2023]
Abstract
Nano-indentation is a promising method to identify the constitutive parameters of soft materials, including soft tissues. Especially when materials are very small and heterogeneous, nano-indentation allows mechanical interrogation where traditional methods may fail. However, because nano-indentation does not yield a homogeneous deformation field, interpreting the resulting load-displacement curves is non-trivial and most investigators resort to simplified approaches based on the Hertzian solution. Unfortunately, for small samples and large indentation depths, these solutions are inaccurate. We set out to use machine learning to provide an alternative strategy. We first used the finite element method to create a large synthetic data set. We then used these data to train neural networks to inversely identify material parameters from load-displacement curves. To this end, we took two different approaches. First, we learned the indentation forward problem, which we then applied within an iterative framework to identify material parameters. Second, we learned the inverse problem of directly identifying material parameters. We show that both approaches are effective at identifying the parameters of the neo-Hookean and Gent models. Specifically, when applied to synthetic data, our approaches are accurate even for small sample sizes and at deep indentation. Additionally, our approaches are fast, especially compared to the inverse finite element approach. Finally, our approaches worked on unseen experimental data from thin mouse brain samples. Here, our approaches proved robust to experimental noise across over 1000 samples. By providing open access to our data and code, we hope to support others that conduct nano-indentation on soft materials.
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Affiliation(s)
- Patrick Giolando
- The University of Texas at Austin, Department of Biomedical Engineering, USA
| | - Sotirios Kakaletsis
- The University of Texas at Austin, Department of Aerospace Engineering & Engineering Mechanics, USA
| | - Xuesong Zhang
- Stevens Institute of Technology, Department of Mechanical Engineering, USA
| | | | - Edward Castillo
- The University of Texas at Austin, Department of Biomedical Engineering, USA
| | - Berkin Dortdivanlioglu
- The University of Texas at Austin, Department of Civil, Environmental, and Architectural Engineering, USA.
- The University of Texas at Austin, Oden Institute for Computational Engineering and Sciences, USA
| | - Manuel K Rausch
- The University of Texas at Austin, Department of Biomedical Engineering, USA
- The University of Texas at Austin, Department of Aerospace Engineering & Engineering Mechanics, USA
- The University of Texas at Austin, Department of Mechanical Engineering, USA
- The University of Texas at Austin, Oden Institute for Computational Engineering and Sciences, USA
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Li DS, Mendiola EA, Avazmohammadi R, Sachse FB, Sacks MS. A multi-scale computational model for the passive mechanical behavior of right ventricular myocardium. J Mech Behav Biomed Mater 2023; 142:105788. [PMID: 37060716 PMCID: PMC10357348 DOI: 10.1016/j.jmbbm.2023.105788] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/23/2022] [Revised: 01/13/2023] [Accepted: 03/16/2023] [Indexed: 03/31/2023]
Abstract
We have previously demonstrated the importance of myofiber-collagen mechanical interactions in modeling the passive mechanical behavior of right ventricle free wall (RVFW) myocardium. To gain deeper insights into these coupling mechanisms, we developed a high-fidelity, micro-anatomically realistic 3D finite element model of right ventricle free wall (RVFW) myocardium by combining high-resolution imaging and supercomputer-based simulations. We first developed a representative tissue element (RTE) model at the sub-tissue scale by specializing the hyperelastic anisotropic structurally-based constitutive relations for myofibers and ECM collagen, and equi-biaxial and non-equibiaxial loading conditions were simulated using the open-source software FEniCS to compute the effective stress-strain response of the RTE. To estimate the model parameters of the RTE model, we first fitted a 'top-down' biaxial stress-strain behavior with our previous structurally based (tissue-scale) model, informed by the measured myofiber and collagen fiber composition and orientation distributions. Next, we employed a multi-scale approach to determine the tissue-level (5 x 5 x 0.7 mm specimen size) RVFW biaxial behavior via 'bottom-up' homogenization of the fitted RTE model, recapitulating the histologically measured myofiber and collagen orientation to the biaxial mechanical data. Our homogenization approach successfully reproduced the tissue-level mechanical behavior of our previous studies in all biaxial deformation modes, suggesting that the 3D micro-anatomical arrangement of myofibers and ECM collagen is indeed a primary mechanism driving myofiber-collagen interactions.
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Affiliation(s)
- David S Li
- James T. Willerson Center for Cardiovascular Modeling and Simulation, Oden Institute for Computational Engineering and Sciences, Department of Biomedical Engineering, The University of Texas at Austin, Austin, TX 78712, USA
| | - Emilio A Mendiola
- James T. Willerson Center for Cardiovascular Modeling and Simulation, Oden Institute for Computational Engineering and Sciences, Department of Biomedical Engineering, The University of Texas at Austin, Austin, TX 78712, USA
| | - Reza Avazmohammadi
- Computational Cardiovascular Bioengineering Lab, Department of Biomedical Engineering, Texas A&M University, College Station, TX 77843, USA
| | - Frank B Sachse
- Nora Eccles Harrison Cardiovascular Research and Training Institute, Department of Biomedical Engineering, University of Utah, Salt Lake City, UT 84112, USA
| | - Michael S Sacks
- James T. Willerson Center for Cardiovascular Modeling and Simulation, Oden Institute for Computational Engineering and Sciences, Department of Biomedical Engineering, The University of Texas at Austin, Austin, TX 78712, USA.
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Kakaletsis S, Malinowski M, Mathur M, Sugerman GP, Lucy JJ, Snider C, Jazwiec T, Bersi M, Timek TA, Rausch MK. Untangling the mechanisms of pulmonary hypertension-induced right ventricular stiffening in a large animal model. BIORXIV : THE PREPRINT SERVER FOR BIOLOGY 2023:2023.04.03.535491. [PMID: 37066294 PMCID: PMC10104078 DOI: 10.1101/2023.04.03.535491] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/18/2023]
Abstract
Background Pulmonary arterial hypertension (PHT) is a devastating disease with low survival rates. In PHT, chronic pressure overload leads to right ventricle (RV) remodeling and stiffening; thus, impeding diastolic filling and ventricular function. Multiple mechanisms contribute to RV stiffening, including wall thickening, microstructural disorganization, and myocardial stiffening. The relative importance of each mechanism is unclear. Our objective is to use a large animal model as well as imaging, experimental, and computational approaches to untangle these mechanisms. Methods We induced PHT in eight sheep via pulmonary artery banding. After eight weeks, the hearts underwent anatomic and diffusion tensor MRI to characterize wall thickening and microstructural disorganization. Additionally, myocardial samples underwent histological and gene expression analyses to quantify compositional changes and mechanical testing to quantify myocardial stiffening. All findings were compared to 12 control animals. Finally, we used computational modeling to disentangle the relative importance of each stiffening mechanism. Results First, we found that the RVs of PHT animals thickened most at the base and the free wall. Additionally, we found that PHT induced excessive collagen synthesis and microstructural disorganization, consistent with increased expression of fibrotic genes. We also found that the myocardium itself stiffened significantly. Importantly, myocardial stiffening correlated significantly with excess collagen synthesis. Finally, our model of normalized RV pressure-volume relationships predicted that myocardial stiffness contributes to RV stiffening significantly more than other mechanisms. Conclusions In summary, we found that PHT induces wall thickening, microstructural disorganization, and myocardial stiffening. These remodeling mechanisms were both spatially and directionally dependent. Using modeling, we show that myocardial stiffness is the primary contributor to RV stiffening. Thus, myocardial stiffening may be an important predictor for PHT progression. Given the significant correlation between myocardial stiffness and collagen synthesis, collagen-sensitive imaging modalities may be useful for non-invasively estimating myocardial stiffness and predicting PHT outcomes.
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Affiliation(s)
- Sotirios Kakaletsis
- Department of Aerospace Engineering & Engineering Mechanics, The University of Texas at Austin, Austin, TX
| | - Marcin Malinowski
- Division of Cardiothoracic Surgery, Spectrum Health, Grand Rapids, MI
- Department of Cardiac Surgery, Medical University of Silesia, Katowice, Poland
| | - Mrudang Mathur
- Department of Mechanical Engineering, The University of Texas at Austin, TX
| | | | - Jeff J. Lucy
- Center for Advanced Brain Imaging Research, Rutgers University, New Brunswick, NJ
| | - Caleb Snider
- Department of Mechanical Engineering & Materials Science, Washington University at St. Louis, St. Louis, MO
| | - Tomasz Jazwiec
- Division of Cardiothoracic Surgery, Spectrum Health, Grand Rapids, MI
- Department of Cardiac, Vascular and Endovascular Surgery and Transplantology, Medical University of Silesia in Katowice, Silesian Centre for Heart Diseases, Zabrze, Poland
| | - Matthew Bersi
- Department of Mechanical Engineering & Materials Science, Washington University at St. Louis, St. Louis, MO
| | - Tomasz A. Timek
- Division of Cardiothoracic Surgery, Spectrum Health, Grand Rapids, MI
| | - Manuel K. Rausch
- Department of Aerospace Engineering & Engineering Mechanics, The University of Texas at Austin, Austin, TX
- Department of Biomedical Engineering, The University of Texas at Austin, TX
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11
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Dwivedi KK, Lakhani P, Sihota P, Tikoo K, Kumar S, Kumar N. The multiscale characterization and constitutive modeling of healthy and type 2 diabetes mellitus Sprague Dawley rat skin. Acta Biomater 2023; 158:324-346. [PMID: 36565785 DOI: 10.1016/j.actbio.2022.12.037] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/20/2022] [Revised: 11/26/2022] [Accepted: 12/15/2022] [Indexed: 12/24/2022]
Abstract
In type 2 diabetes mellitus (T2DM), elevated glucose level impairs the biochemistry of the skin which may result in alteration of its mechanical and structural properties. The several aspects of structural and mechanical changes in skin due to T2DM remain poorly understood. To fill these research gaps, we developed a non-obese T2DM rat (Sprague Dawley (SD)) model for investigating the effect of T2DM on the in vivo strain stress state, mechanical and structural properties of skin. In vivo strain and mechanical anisotropy of healthy and T2DM skin were measured using the digital imaging correlation (DIC) technique and DIC coupled bulge experiment, respectively. Fluorescence microscopy and histology were used to assess the collagen and elastin fibers microstructure whereas nanoscale structure was captured through atomic force microscopy (AFM). Based on the microstructural observations, skin was modeled as a multilayer membrane where in and out of plane distribution of collagen fibers and planar distribution of elastin fibers were cast in constitutive model. Further, the state of in vivo stresses of healthy and T2DM were measured using model parameters and in vivo strain in the constitutive model. The results showed that T2DM causes significant loss in in vivo stresses (p < 0.01) and increase in anisotropy (p < 0.001) of skin. These changes were found in good correlation with T2DM associated alteration in skin microstructure. Statistical analysis emphasized that increase in blood glucose concentration (HbA1c) was the main cause of impaired biomechanical properties of skin. The presented data in this study can help to understand the skin pathology and to simulate the skin related clinical procedures. STATEMENT OF SIGNIFICANCE: Our study is significant as it presents findings related to the effect of T2DM on the physiologic stress strain, structural and mechanical response of SD rat skin. In this study, we developed a non-obese T2DM SD rat model which mimics the phenotype of Asian type 2 diabetics (non-obese). Several structural and mechanical characterization techniques were explored for multiscale characterization of healthy and T2DM skin. Further, based on microstructural information, we presented the constitutive models that incorporate the real microstructure of skin. The presented results can be helpful to simulate the realistic mechanical response of skin during various clinical trials.
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Affiliation(s)
- Krashn Kr Dwivedi
- Department of Biomedical Engineering, Indian institute of Technology Ropar, India
| | - Piyush Lakhani
- Department of Mechanical Engineering, Indian institute of Technology Ropar, India
| | - Praveer Sihota
- Department of Mechanical Engineering, Indian institute of Technology Ropar, India
| | - Kulbhushan Tikoo
- Department of Pharmacology and Toxicology, National Institute of Pharmaceutical Education and Research, Mohali, India
| | - Sachin Kumar
- Department of Mechanical Engineering, Indian institute of Technology Ropar, India.
| | - Navin Kumar
- Department of Biomedical Engineering, Indian institute of Technology Ropar, India; Department of Mechanical Engineering, Indian institute of Technology Ropar, India.
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12
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Kakaletsis S, Lejeune E, Rausch MK. Can machine learning accelerate soft material parameter identification from complex mechanical test data? Biomech Model Mechanobiol 2023; 22:57-70. [PMID: 36229697 PMCID: PMC11048729 DOI: 10.1007/s10237-022-01631-z] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/31/2021] [Accepted: 08/23/2022] [Indexed: 11/28/2022]
Abstract
Identifying the constitutive parameters of soft materials often requires heterogeneous mechanical test modes, such as simple shear. In turn, interpreting the resulting complex deformations necessitates the use of inverse strategies that iteratively call forward finite element solutions. In the past, we have found that the cost of repeatedly solving non-trivial boundary value problems can be prohibitively expensive. In this current work, we leverage our prior experimentally derived mechanical test data to explore an alternative approach. Specifically, we investigate whether a machine learning-based approach can accelerate the process of identifying material parameters based on our mechanical test data. Toward this end, we pursue two different strategies. In the first strategy, we replace the forward finite element simulations within an iterative optimization framework with a machine learning-based metamodel. Here, we explore both Gaussian process regression and neural network metamodels. In the second strategy, we forgo the iterative optimization framework and use a stand alone neural network to predict the entire material parameter set directly from experimental results. We first evaluate both approaches with simple shear experiments on blood clot, an isotropic, homogeneous material. Next, we evaluate both approaches against simple shear and uniaxial loading experiments on right ventricular myocardium, an anisotropic, heterogeneous material. We find that replacing the forward finite element simulations with metamodels significantly accelerates the parameter identification process with excellent results in the case of blood clot, and with satisfying results in the case of right ventricular myocardium. On the other hand, we find that replacing the entire optimization framework with a neural network yielded unsatisfying results, especially for right ventricular myocardium. Overall, the importance of our work stems from providing a baseline example showing how machine learning can accelerate the process of material parameter identification for soft materials from complex mechanical data, and from providing an open access experimental and simulation dataset that may serve as a benchmark dataset for others interested in applying machine learning techniques to soft tissue biomechanics.
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Affiliation(s)
- Sotirios Kakaletsis
- Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX, 78712, USA
| | - Emma Lejeune
- Department of Mechanical Engineering, Boston University, Boston, MA, 02215, USA
| | - Manuel K Rausch
- Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin, TX, 78712, USA.
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13
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A cell-based framework for modeling cardiac mechanics. Biomech Model Mechanobiol 2023; 22:515-539. [PMID: 36602715 PMCID: PMC10097778 DOI: 10.1007/s10237-022-01660-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/30/2022] [Accepted: 11/19/2022] [Indexed: 01/06/2023]
Abstract
Cardiomyocytes are the functional building blocks of the heart-yet most models developed to simulate cardiac mechanics do not represent the individual cells and their surrounding matrix. Instead, they work on a homogenized tissue level, assuming that cellular and subcellular structures and processes scale uniformly. Here we present a mathematical and numerical framework for exploring tissue-level cardiac mechanics on a microscale given an explicit three-dimensional geometrical representation of cells embedded in a matrix. We defined a mathematical model over such a geometry and parametrized our model using publicly available data from tissue stretching and shearing experiments. We then used the model to explore mechanical differences between the extracellular and the intracellular space. Through sensitivity analysis, we found the stiffness in the extracellular matrix to be most important for the intracellular stress values under contraction. Strain and stress values were observed to follow a normal-tangential pattern concentrated along the membrane, with substantial spatial variations both under contraction and stretching. We also examined how it scales to larger size simulations, considering multicellular domains. Our work extends existing continuum models, providing a new geometrical-based framework for exploring complex cell-cell and cell-matrix interactions.
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14
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Lohr MJ, Sugerman GP, Kakaletsis S, Lejeune E, Rausch MK. An introduction to the Ogden model in biomechanics: benefits, implementation tools and limitations. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2022. [PMID: 36031838 DOI: 10.6084/m9.figshare.c.6098644] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Subscribe] [Scholar Register] [Indexed: 05/17/2023]
Abstract
Constitutive models are important to biomechanics for two key reasons. First, constitutive modelling is an essential component of characterizing tissues' mechanical properties for informing theoretical and computational models of biomechanical systems. Second, constitutive models can be used as a theoretical framework for extracting and comparing key quantities of interest from material characterization experiments. Over the past five decades, the Ogden model has emerged as a popular constitutive model in soft tissue biomechanics with relevance to both informing theoretical and computational models and to comparing material characterization experiments. The goal of this short review is threefold. First, we will discuss the broad relevance of the Ogden model to soft tissue biomechanics and the general characteristics of soft tissues that are suitable for approximating with the Ogden model. Second, we will highlight exemplary uses of the Ogden model in brain tissue, blood clot and other tissues. Finally, we offer a tutorial on fitting the one-term Ogden model to pure shear experimental data via both an analytical approximation of homogeneous deformation and a finite-element model of the tissue domain. Overall, we anticipate that this short review will serve as a practical introduction to the use of the Ogden model in biomechanics. This article is part of the theme issue 'The Ogden model of rubber mechanics: Fifty years of impact on nonlinear elasticity'.
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Affiliation(s)
- Matthew J Lohr
- Department of Biomedical Engineering, University of Texas at Austin, Austin, TX, USA
| | - Gabriella P Sugerman
- Department of Biomedical Engineering, University of Texas at Austin, Austin, TX, USA
| | - Sotirios Kakaletsis
- Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, TX, USA
| | - Emma Lejeune
- Department of Mechanical Engineering, Boston University, Boston, MA, USA
| | - Manuel K Rausch
- Department of Biomedical Engineering, University of Texas at Austin, Austin, TX, USA
- Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, TX, USA
- Oden Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, USA
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15
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Lohr MJ, Sugerman GP, Kakaletsis S, Lejeune E, Rausch MK. An introduction to the Ogden model in biomechanics: benefits, implementation tools and limitations. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2022; 380:20210365. [PMID: 36031838 PMCID: PMC9784101 DOI: 10.1098/rsta.2021.0365] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/15/2021] [Accepted: 03/14/2022] [Indexed: 05/04/2023]
Abstract
Constitutive models are important to biomechanics for two key reasons. First, constitutive modelling is an essential component of characterizing tissues' mechanical properties for informing theoretical and computational models of biomechanical systems. Second, constitutive models can be used as a theoretical framework for extracting and comparing key quantities of interest from material characterization experiments. Over the past five decades, the Ogden model has emerged as a popular constitutive model in soft tissue biomechanics with relevance to both informing theoretical and computational models and to comparing material characterization experiments. The goal of this short review is threefold. First, we will discuss the broad relevance of the Ogden model to soft tissue biomechanics and the general characteristics of soft tissues that are suitable for approximating with the Ogden model. Second, we will highlight exemplary uses of the Ogden model in brain tissue, blood clot and other tissues. Finally, we offer a tutorial on fitting the one-term Ogden model to pure shear experimental data via both an analytical approximation of homogeneous deformation and a finite-element model of the tissue domain. Overall, we anticipate that this short review will serve as a practical introduction to the use of the Ogden model in biomechanics. This article is part of the theme issue 'The Ogden model of rubber mechanics: Fifty years of impact on nonlinear elasticity'.
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Affiliation(s)
- Matthew J. Lohr
- Department of Biomedical Engineering, University of Texas at Austin, Austin, TX, USA
| | - Gabriella P. Sugerman
- Department of Biomedical Engineering, University of Texas at Austin, Austin, TX, USA
| | - Sotirios Kakaletsis
- Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, TX, USA
| | - Emma Lejeune
- Department of Mechanical Engineering, Boston University, Boston, MA, USA
| | - Manuel K. Rausch
- Department of Biomedical Engineering, University of Texas at Austin, Austin, TX, USA
- Department of Aerospace Engineering and Engineering Mechanics, University of Texas at Austin, Austin, TX, USA
- Oden Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX, USA
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16
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Tac V, Sree VD, Rausch MK, Tepole AB. Data-driven Modeling of the Mechanical Behavior of Anisotropic Soft Biological Tissue. ENGINEERING WITH COMPUTERS 2022; 38:4167-4182. [PMID: 38031587 PMCID: PMC10686525 DOI: 10.1007/s00366-022-01733-3] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/12/2022] [Accepted: 08/15/2022] [Indexed: 12/01/2023]
Abstract
Closed-form constitutive models are the standard to describe soft tissue mechanical behavior. However, inherent pitfalls of an explicit functional form include poor fits to the data, non-uniqueness of fit, and sensitivity to parameters. Here we design deep neural networks (DNN) that satisfy desirable physics constraints in order to replace expert models of tissue mechanics. To guarantee stress-objectivity, the DNN takes strain (pseudo)-invariants as inputs, and outputs the strain energy and its derivatives. Polyconvexity of strain energy is enforced through the loss function. Direct prediction of both energy and derivative functions enables the computation of the elasticity tensor needed for a finite element implementation. We showcase the DNN ability to learn the anisotropic mechanical behavior of porcine and murine skin from biaxial test data. A multi-fidelity scheme that combines high fidelity experimental data with a low fidelity analytical approximation yields the best performance. Finite element simulations of tissue expansion with the DNN model illustrate the potential of this method to impact medical device design for skin therapeutics. We expect that the open data and software from this work will broaden the use of data-driven constitutive models of tissue mechanics.
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Affiliation(s)
- Vahidullah Tac
- School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA
| | - Vivek D Sree
- School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA
| | - Manuel K Rausch
- Department of Aerospace Engineering and Engineering Mechanics, the University of Texas at Austin, Austin, TX, USA
| | - Adrian B Tepole
- School of Mechanical Engineering, Purdue University, West Lafayette, IN, USA
- Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN, USA
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17
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Meador WD, Mathur M, Kakaletsis S, Lin CY, Bersi MR, Rausch MK. Biomechanical phenotyping of minuscule soft tissues: An example in the rodent tricuspid valve. EXTREME MECHANICS LETTERS 2022; 55:101799. [PMID: 39474062 PMCID: PMC11521389 DOI: 10.1016/j.eml.2022.101799] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/02/2024]
Abstract
The biomechanical phenotype of soft tissues - i.e., the sum of spatially- and directionally-varying mechanical properties - is a critical marker of tissue health and disease. While biomechanical phenotyping is always challenging, it is particularly difficult with miniscule tissues. For example, tissues from small animal models are often only millimeters in size, which prevents the use of traditional test methods, such as uniaxial tensile testing. To overcome this challenge, our current work describes and tests a novel experimental and numerical pipeline. First, we introduce a micro-bulge test device with which we pressurize and inflate miniscule soft tissues. We combine this microbulge device with an optical coherence tomography device to also image the samples during inflation. Based on pressure data and images we then perform inverse finite element simulations to identify our tissues' unknown material parameters. For validation, we identify the material parameters of a thin sheet of latex rubber via both uniaxial tensile testing and via our novel pipeline. Next, we demonstrate our pipeline against anterior tricuspid valve leaflets from rats. The resulting material parameters for these tissues compare excellently with data collected in sheep via standard planar biaxial testing. Additionally, we show that our device is compatible with other imaging modalities such as 2-Photon microscopy. To this end, we image the in-situ microstructural changes of the leaflets during inflation using second harmonic generation imaging. In summary, we introduce a novel pipeline to biomechanically phenotype miniscule soft tissues and demonstrate its value by phenotyping the biomechanics of the anterior tricuspid valve leaflets from rats.
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Affiliation(s)
- William D Meador
- University of Texas at Austin, Department of Biomedical Engineering, 107 W Dean Keeton Street, Austin, 78712, TX, United States of America
| | - Mrudang Mathur
- University of Texas at Austin, Department of Mechanical Engineering, 204 E Dean Keeton Street, Austin, 78712, TX, United States of America
| | - Sotirios Kakaletsis
- University of Texas at Austin, Department of Aerospace Engineering and Engineering Mechanics, 2617 Wichita Street, Austin, 78712, TX, United States of America
| | - Chien-Yu Lin
- University of Texas at Austin, Department of Biomedical Engineering, 107 W Dean Keeton Street, Austin, 78712, TX, United States of America
| | - Matthew R Bersi
- Washington University in St. Louis, Department of Mechanical Engineering and Materials Science, 1 Brookings Drive, St. Louis, 63130, MO, United States of America
| | - Manuel K Rausch
- University of Texas at Austin, Department of Biomedical Engineering, 107 W Dean Keeton Street, Austin, 78712, TX, United States of America
- University of Texas at Austin, Department of Mechanical Engineering, 204 E Dean Keeton Street, Austin, 78712, TX, United States of America
- University of Texas at Austin, Department of Aerospace Engineering and Engineering Mechanics, 2617 Wichita Street, Austin, 78712, TX, United States of America
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18
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Kobeissi H, Mohammadzadeh S, Lejeune E. Enhancing Mechanical Metamodels with a Generative Model-Based Augmented Training Dataset. J Biomech Eng 2022; 144:1141932. [PMID: 35767343 DOI: 10.1115/1.4054898] [Citation(s) in RCA: 8] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/08/2022] [Indexed: 11/08/2022]
Abstract
Modeling biological soft tissue is complex in part due to material heterogeneity. Microstructural patterns, which play a major role in defining the mechanical behavior of these tissues, are both challenging to characterize, and difficult to simulate. Recently, machine learning (ML)-based methods to predict the mechanical behavior of heterogeneous materials have made it possible to more thoroughly explore the massive input parameter space associated with heterogeneous blocks of material. Specifically, we can train ML models to closely approximate computationally expensive heterogeneous material simulations where the ML model is trained on datasets of simulations with relevant spatial heterogeneity. However, when it comes to applying these techniques to tissue, there is a major limitation: the number of useful examples available to characterize the input domain under study is often limited. In this work, we investigate the efficacy of both ML-based generative models and procedural methods as tools for augmenting limited input pattern datasets. We find that a Style-based Generative Adversarial Network with an adaptive discriminator augmentation mechanism is able to successfully leverage just 1,000 example patterns to create authentic generated patterns. And, we find that diverse generated patterns with adequate resemblance to real patterns can be used as inputs to finite element simulations to meaningfully augment the training dataset. To enable this methodological contribution, we have created an open access Finite Element Analysis simulation dataset based on Cahn-Hilliard patterns. We anticipate that future researchers will be able to leverage this dataset and build on the work presented here.
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Affiliation(s)
- Hiba Kobeissi
- Department of Mechanical Engineering, Boston University, Boston, MA 02215
| | | | - Emma Lejeune
- Department of Mechanical Engineering, Boston University, Boston, MA 02215
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19
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Liu W, Nguyen-Truong M, LeBar K, Labus KM, Gray E, Ahern M, Neelakantan S, Avazmohammadi R, McGilvray KC, Puttlitz CM, Wang Z. Multiscale Contrasts Between the Right and Left Ventricle Biomechanics in Healthy Adult Sheep and Translational Implications. Front Bioeng Biotechnol 2022; 10:857638. [PMID: 35528212 PMCID: PMC9068898 DOI: 10.3389/fbioe.2022.857638] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/19/2022] [Accepted: 03/28/2022] [Indexed: 12/19/2022] Open
Abstract
Cardiac biomechanics play a significant role in the progression of structural heart diseases (SHDs). SHDs alter baseline myocardial biomechanics leading to single or bi-ventricular dysfunction. But therapies for left ventricle (LV) failure patients do not always work well for right ventricle (RV) failure patients. This is partly because the basic knowledge of baseline contrasts between the RV and LV biomechanics remains elusive with limited discrepant findings. The aim of the study was to investigate the multiscale contrasts between LV and RV biomechanics in large animal species. We hypothesize that the adult healthy LV and RV have distinct passive anisotropic biomechanical properties. Ex vivo biaxial tests were performed in fresh sheep hearts. Histology and immunohistochemistry were performed to measure tissue collagen. The experimental data were then fitted to a Fung type model and a structurally informed model, separately. We found that the LV was stiffer in the longitudinal (outflow tract) than circumferential direction, whereas the RV showed the opposite anisotropic behavior. The anisotropic parameter K from the Fung type model accurately captured contrasting anisotropic behaviors in the LV and RV. When comparing the elasticity in the same direction, the LV was stiffer than the RV longitudinally and the RV was stiffer than the LV circumferentially, suggesting different filling patterns of these ventricles during diastole. Results from the structurally informed model suggest potentially stiffer collagen fibers in the LV than RV, demanding further investigation. Finally, type III collagen content was correlated with the low-strain elastic moduli in both ventricles. In summary, our findings provide fundamental biomechanical differences between the chambers. These results provide valuable insights for guiding cardiac tissue engineering and regenerative studies to implement chamber-specific matrix mechanics, which is particularly critical for identifying biomechanical mechanisms of diseases or mechanical regulation of therapeutic responses. In addition, our results serve as a benchmark for image-based inverse modeling technologies to non-invasively estimate myocardial properties in the RV and LV.
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Affiliation(s)
- Wenqiang Liu
- Cardiovascular Biomechanics Laboratory, School of Biomedical Engineering, Colorado State University, Fort Collins, CO, United States
| | - Michael Nguyen-Truong
- Cardiovascular Biomechanics Laboratory, School of Biomedical Engineering, Colorado State University, Fort Collins, CO, United States
| | - Kristen LeBar
- Cardiovascular Biomechanics Laboratory, Department of Mechanical Engineering, Colorado State University, Fort Collins, CO, United States
| | - Kevin M. Labus
- Orthopaedic Bioengineering Research Laboratory, Department of Mechanical Engineering, Colorado State University, Fort Collins, CO, United States
| | - Elisabeth Gray
- Cardiovascular Biomechanics Laboratory, School of Biomedical Engineering, Colorado State University, Fort Collins, CO, United States
| | - Matt Ahern
- Cardiovascular Biomechanics Laboratory, School of Biomedical Engineering, Colorado State University, Fort Collins, CO, United States
| | - Sunder Neelakantan
- Computation Cardiovascular Bioengineering Lab, Department of Biomedical Engineering, Texas A&M University, College Station, TX, United States
| | - Reza Avazmohammadi
- Computation Cardiovascular Bioengineering Lab, Department of Biomedical Engineering, Texas A&M University, College Station, TX, United States
- Computation Cardiovascular Bioengineering Lab, J. Mike Walker ’66 Department of Mechanical Engineering, Texas A&M University, College Station, TX, United States
- Department of Cardiovascular Sciences, Houston Methodist Academic Institute, Houston, TX, United States
| | - Kirk C. McGilvray
- Orthopaedic Bioengineering Research Laboratory, Department of Mechanical Engineering, Colorado State University, Fort Collins, CO, United States
- Orthopaedic Bioengineering Research Laboratory, School of Biomedical Engineering, Colorado State University, Fort Collins, CO, United States
| | - Christian M. Puttlitz
- Orthopaedic Bioengineering Research Laboratory, Department of Mechanical Engineering, Colorado State University, Fort Collins, CO, United States
- Orthopaedic Bioengineering Research Laboratory, School of Biomedical Engineering, Colorado State University, Fort Collins, CO, United States
| | - Zhijie Wang
- Cardiovascular Biomechanics Laboratory, School of Biomedical Engineering, Colorado State University, Fort Collins, CO, United States
- Cardiovascular Biomechanics Laboratory, Department of Mechanical Engineering, Colorado State University, Fort Collins, CO, United States
- *Correspondence: Zhijie Wang,
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20
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Hu Y, Li D, Zhou C, Xiao Y, Sun S, Jiang C, Chen L, Liu J, Zhang H, Li F, Hong H, Ye L. Molecular Changes in Prepubertal Left Ventricular Development Under Experimental Volume Overload. Front Cardiovasc Med 2022; 9:850248. [PMID: 35497975 PMCID: PMC9039316 DOI: 10.3389/fcvm.2022.850248] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/07/2022] [Accepted: 03/21/2022] [Indexed: 11/11/2022] Open
Abstract
Background Left ventricular (LV) volume overload (VO), commonly found in patients with chronic aortic regurgitation (AR), leads to a series of left ventricular (LV) pathological responses and eventually irreversible LV dysfunction. Recently, questions about the applicability of the guideline for the optimal timing of valvular surgery to correct chronic AR have been raised in regard to both adult and pediatric patients. Understanding how VO regulates postnatal LV development may shed light on the best timing of surgical or drug intervention. Methods and Results Prepubertal LV VO was induced by aortocaval fistula (ACF) on postnatal day 7 (P7) in mice. LV free walls were analyzed on P14 and P21. RNA-sequencing analysis demonstrated that normal (P21_Sham vs.P14_Sham) and VO-influenced (P21_VO vs. P14_VO) LV development shared common terms of Gene Ontology (GO) and Kyoto Encyclopedia of Genes and Genomes (KEGG) in the downregulation of cell cycle activities and the upregulation of metabolic and sarcomere maturation. The enriched GO terms associated with cardiac condition were only observed in normal LV development, while the enriched GO terms associated with immune responses were only observed in VO-influenced LV development. These results were further validated by the examination of the markers of cell cycle, maturation, and immune responses. When normal and VO-influenced LVs of P21 were compared, they were different in terms of immune responses, angiogenesis, percentage of Ki67-positive cardiomyocytes, mitochondria number, T-tubule regularity, and sarcomere regularity and length. Conclusions A prepubertal LV VO mouse model was first established. VO has an important influence on LV maturation and development, especially in cardiac conduction, suggesting the requirement of an early correction of AR in pediatric patients. The underlying mechanism may be associated with the activation of immune responses.
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Affiliation(s)
- Yuqing Hu
- Department of Cardiology, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China
| | - Debao Li
- Department of Thoracic and Cardiovascular Surgery, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China
| | - Chunxia Zhou
- Department of Thoracic and Cardiovascular Surgery, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China
| | - Yingying Xiao
- Department of Thoracic and Cardiovascular Surgery, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China
| | - Sijuan Sun
- Department of Pediatric Intensive Care Unit, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China
| | - Chuan Jiang
- Department of Thoracic and Cardiovascular Surgery, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China,Shanghai Institute for Pediatric Congenital Heart Disease, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China,Institute of Pediatric Translational Medicine, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China
| | - Lijun Chen
- Department of Cardiology, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China
| | - Jinfen Liu
- Department of Thoracic and Cardiovascular Surgery, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China
| | - Hao Zhang
- Department of Thoracic and Cardiovascular Surgery, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China,Shanghai Institute for Pediatric Congenital Heart Disease, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China
| | - Fen Li
- Department of Cardiology, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China,*Correspondence: Fen Li
| | - Haifa Hong
- Department of Thoracic and Cardiovascular Surgery, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China,Haifa Hong
| | - Lincai Ye
- Department of Thoracic and Cardiovascular Surgery, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China,Shanghai Institute for Pediatric Congenital Heart Disease, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China,Institute of Pediatric Translational Medicine, Shanghai Children's Medical Center, School of Medicine, Shanghai Jiao Tong University, Shanghai, China,Lincai Ye
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21
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Determination of Cross-Directional and Cross-Wall Variations of Passive Biaxial Mechanical Properties of Rat Myocardia. Processes (Basel) 2022. [DOI: 10.3390/pr10040629] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
Heart myocardia are critical to the facilitation of heart pumping and blood circulating around the body. The biaxial mechanical testing of the left ventricle (LV) has been extensively utilised to build the computational model of the whole heart with little importance given to the unique mechanical properties of the right ventricle (RV) and cardiac septum (SPW). Most of those studies focussed on the LV of the heart and then applied the obtained characteristics with a few modifications to the right side of the heart. However, the assumption that the LV characteristics applies to the RV has been contested over time with the realisation that the right side of the heart possesses its own unique mechanical properties that are widely distinct from that of the left side of the heart. This paper evaluates the passive mechanical property differences in the three main walls of the rat heart based on biaxial tensile test data. Fifteen mature Wistar rats weighing 225 ± 25 g were euthanised by inhalation of 5% halothane. The hearts were excised after which all the top chambers comprising the two atria, pulmonary and vena cava trunks, aorta, and valves were all dissected out. Then, 5 × 5 mm sections from the middle of each wall were carefully dissected with a surgical knife to avoid overly pre-straining the specimens. The specimens were subjected to tensile testing. The elastic moduli, peak stresses in the toe region and stresses at 40% strain, anisotropy indices, as well as the stored strain energy in the toe and linear region of up to 40% strain were used for statistical significance tests. The main findings of this study are: (1) LV and SPW tissues have relatively shorter toe regions of 10–15% strain as compared to RV tissue, whose toe region extends up to twice as much as that; (2) LV tissues have a higher strain energy storage in the linear region despite being lower in stiffness than the RV; and (3) the SPW has the highest strain energy storage along both directions, which might be directly related to its high level of anisotropy. These findings, though for a specific animal species at similar age and around the same body mass, emphasise the importance of the application of wall-specific material parameters to obtain accurate ventricular hyperelastic models. The findings further enhance our understanding of the desired mechanical behaviour of the different ventricle walls.
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Lou L, Lopez KO, Nautiyal P, Agarwal A. Integrated Perspective of Scaffold Designing and Multiscale Mechanics in Cardiac Bioengineering. ADVANCED NANOBIOMED RESEARCH 2021. [DOI: 10.1002/anbr.202100075] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022] Open
Affiliation(s)
- Lihua Lou
- Department of Mechanical and Materials Engineering Florida International University Miami FL 33174 USA
| | - Kazue Orikasa Lopez
- Department of Mechanical and Materials Engineering Florida International University Miami FL 33174 USA
| | - Pranjal Nautiyal
- Mechanical Engineering and Applied Mechanics University of Pennsylvania Philadelphia PA 19104 USA
| | - Arvind Agarwal
- Plasma Forming Laboratory Advanced Materials Engineering Research Institute (AMERI) Mechanical and Materials Engineering College of Engineering and Computing Florida International University Miami FL 33174 USA
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Rausch MK, Parekh SH, Dortdivanlioglu B, Rosales AM. Synthetic hydrogels as blood clot mimicking wound healing materials. PROGRESS IN BIOMEDICAL ENGINEERING (BRISTOL, ENGLAND) 2021; 3:042006. [PMID: 35822083 PMCID: PMC9273113 DOI: 10.1088/2516-1091/ac23a4] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/04/2023]
Abstract
Excessive bleeding-or hemorrhage-causes millions of civilian and non-civilian casualties every year. Additionally, wound sequelae, such as infections, are a significant source of chronic morbidity, even if the initial bleeding is successfully stopped. To treat acute and chronic wounds, numerous wound healing materials have been identified, tested, and adopted. Among them are topical dressings, such as gauzes, as well as natural and biomimetic materials. However, none of these materials successfully mimic the complex and dynamic properties of the body's own wound healing material: the blood clot. Specifically, blood clots exhibit complex mechanical and biochemical properties that vary across spatial and temporal scales to guide the wound healing response, which make them the ideal wound healing material. In this manuscript, we review blood clots' complex mechanical and biochemical properties, review current wound healing materials, and identify opportunities where new materials can provide additional functionality, with a specific focus on hydrogels. We highlight recent developments in synthetic hydrogels that make them capable of mimicking a larger subset of blood clot features: as plugs and as stimuli for tissue repair. We conclude that future hydrogel materials designed to mimic blood clot biochemistry, mechanics, and architecture can be combined with exciting platelet-like particles to serve as hemostats that also promote the biological wound healing response. Thus, we believe synthetic hydrogels are ideal candidates to address the clear need for better wound healing materials.
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Affiliation(s)
- Manuel K. Rausch
- Department of Biomedical Engineering, University of Texas at Austin, Austin, TX 78712, United States of America
- Department of Aerospace Engineering & Engineering Mechanics, University of Texas at Austin, Austin, TX 78712, United States of America
- Oden Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX 78712, United States of America
| | - Sapun H. Parekh
- Department of Biomedical Engineering, University of Texas at Austin, Austin, TX 78712, United States of America
| | - Berkin Dortdivanlioglu
- Oden Institute for Computational Engineering and Sciences, University of Texas at Austin, Austin, TX 78712, United States of America
- Department of Civil, Architectural and Environmental Engineering, University of Texas at Austin, Austin, TX 78712, United States of America
| | - Adrianne M. Rosales
- McKetta Department of Chemical Engineering, University of Texas at Austin, Austin, TX 78712, United States of America
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Sun S, Hu Y, Xiao Y, Wang S, Jiang C, Liu J, Zhang H, Hong H, Li F, Ye L. Postnatal Right Ventricular Developmental Track Changed by Volume Overload. J Am Heart Assoc 2021; 10:e020854. [PMID: 34387124 PMCID: PMC8475045 DOI: 10.1161/jaha.121.020854] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 01/10/2021] [Accepted: 06/01/2021] [Indexed: 01/23/2023]
Abstract
Background Current right ventricular (RV) volume overload (VO) is established in adult mice. There are no neonatal mouse VO models and how VO affects postnatal RV development is largely unknown. Methods and Results Neonatal VO was induced by the fistula between abdominal aorta and inferior vena cava on postnatal day 7 and confirmed by abdominal ultrasound, echocardiography, and hematoxylin and eosin staining. The RNA-sequencing results showed that the top 5 most enriched gene ontology terms in normal RV development were energy derivation by oxidation of organic compounds, generation of precursor metabolites and energy, cellular respiration, striated muscle tissue development, and muscle organ development. Under the influence of VO, the top 5 most enriched gene ontology terms were angiogenesis, regulation of cytoskeleton organization, regulation of vasculature development, regulation of mitotic cell cycle, and regulation of the actin filament-based process. The top 3 enriched signaling pathways for the normal RV development were PPAR signaling pathway, citrate cycle (Tricarboxylic acid cycle), and fatty acid degradation. VO changed the signaling pathways to focal adhesion, the PI3K-Akt signaling pathway, and pathways in cancer. The RNA sequencing results were confirmed by the examination of the markers of metabolic and cardiac muscle maturation and the markers of cell cycle and angiogenesis. Conclusions A neonatal mouse VO model was successfully established, and the main processes of postnatal RV development were metabolic and cardiac muscle maturation, and VO changed that to angiogenesis and cell cycle regulation.
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MESH Headings
- Animals
- Animals, Newborn
- Aorta, Abdominal/physiopathology
- Aorta, Abdominal/surgery
- Arteriovenous Shunt, Surgical
- Disease Models, Animal
- Gene Expression Profiling
- Gene Expression Regulation, Developmental
- Male
- Mice, Inbred C57BL
- RNA-Seq
- Time Factors
- Transcriptome
- Vena Cava, Inferior/physiopathology
- Vena Cava, Inferior/surgery
- Ventricular Dysfunction, Right/etiology
- Ventricular Dysfunction, Right/genetics
- Ventricular Dysfunction, Right/physiopathology
- Ventricular Function, Right/genetics
- Mice
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Affiliation(s)
- Sijuan Sun
- Department of Pediatric Intensive Care UnitShanghai Children's Medical CenterSchool of MedicineShanghai Jiao Tong UniversityShanghaiChina
| | - Yuqing Hu
- Department of Cardiology, Shanghai Children's Medical Center, School of MedicineShanghai Jiao Tong UniversityShanghaiChina
| | - Yingying Xiao
- Department of Thoracic and Cardiovascular Surgery, Shanghai Children's Medical Center, School of MedicineShanghai Jiao Tong UniversityShanghaiChina
| | - Shoubao Wang
- Department of Plastic and Reconstructive SurgeryShanghai Ninth People's HospitalSchool of MedicineShanghai Jiao Tong UniversityShanghaiChina
| | - Chuan Jiang
- Department of Thoracic and Cardiovascular Surgery, Shanghai Children's Medical Center, School of MedicineShanghai Jiao Tong UniversityShanghaiChina
| | - Jinfen Liu
- Department of Thoracic and Cardiovascular Surgery, Shanghai Children's Medical Center, School of MedicineShanghai Jiao Tong UniversityShanghaiChina
| | - Hao Zhang
- Department of Thoracic and Cardiovascular Surgery, Shanghai Children's Medical Center, School of MedicineShanghai Jiao Tong UniversityShanghaiChina
- Shanghai Institute for Pediatric Congenital Heart DiseaseShanghai Children's Medical CenterSchool of MedicineShanghai Jiao Tong UniversityShanghaiChina
| | - Haifa Hong
- Shanghai Institute for Pediatric Congenital Heart DiseaseShanghai Children's Medical CenterSchool of MedicineShanghai Jiao Tong UniversityShanghaiChina
| | - Fen Li
- Department of Cardiology, Shanghai Children's Medical Center, School of MedicineShanghai Jiao Tong UniversityShanghaiChina
| | - Lincai Ye
- Department of Thoracic and Cardiovascular Surgery, Shanghai Children's Medical Center, School of MedicineShanghai Jiao Tong UniversityShanghaiChina
- Institute of Pediatric Translational MedicineShanghai Children's Medical CenterSchool of MedicineShanghai Jiao Tong UniversityShanghaiChina
- Shanghai Institute for Pediatric Congenital Heart DiseaseShanghai Children's Medical CenterSchool of MedicineShanghai Jiao Tong UniversityShanghaiChina
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