Abstract
AbstractCardiomyocytes 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.
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Modeling and Simulation,Biotechnology
Reference70 articles.
1. Abhilash A, Baker BM, Trappmann B, Chen CS, Shenoy VB (2014) Remodeling of fibrous extracellular matrices by contractile cells: predictions from discrete fiber network simulations. Biophys J. https://doi.org/10.1016/j.bpj.2014.08.029
2. Alnæs M, Blechta J, Hake J, Johansson A, Kehlet B, Logg A, $$\ldots$$ Wells GN (2015) The FEniCS project version 1 5. Archive of Numerical Software https://doi.org/10.11588/ans.2015.100.20553
3. Ambrosi D, Pezzuto S (2012) Active stress vs active strain in mechanobiology: constitutive issues. J Elast. https://doi.org/10.1007/s10659-011-9351-4
4. Avazmohammadi R, Soares JS, Li DS, Raut SS, Gorman RC, Sacks MS (2019) A contemporary look at biomechanical models of myocardium. Annu Rev Biomed Eng. https://doi.org/10.1146/annurev-bioeng-062117-121129
5. Azad A, Buluç A, Li XS, Wang X, Langguth J (2020) A distributed-memory algorithm for computing a heavy-weight perfect matching on bipartite graphs. SIAM J Sci Comput. https://doi.org/10.1137/18M1189348
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献