Modeling Cardiac Mechanics on a Sub-Cellular Scale

Telle, Åshild; Wall, Samuel; Sundnes, Joakim

doi:10.1007/978-3-030-61157-6_3

Cited by 1 publication

(3 citation statements)

References 14 publications

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“…Following the geometrical framework presented in Tveito et al (2017) and employed in Telle et al (2021), we consider a three-dimensional domain consisting of two volumes-the cells and the surrounding matrix. The intracellular space ( Ω i ) is surrounded by the extracellular space ( Ω e ), separated by a surface ( Γ ) representing the cell membrane; see Fig.…”

Section: The Mathematical Frameworkmentioning

confidence: 99%

“…The matrix is estimated to be 100-1000 times more compressible than the cells it surrounds (Dolega et al 2021). Alternatively one could use a nearly incompressible formulation, as done in Telle et al (2021), but with a much higher penalty parameter for the intracellular subdomain. High penalty parameters are, however, associated with locking (Hadjicharalambous et al 2014;Karabelas et al 2022), which both can lead to numerical instabilities and underestimation of variables of interest.…”

Section: Implications Of Continuity and Discontinuity Assumptions At ...mentioning

confidence: 99%

“…In this work, we present the extension and characterization of the model presented in Telle et al (2021), in which the extracellular and the intracellular subdomains are explicitly represented in the geometry. The main purpose behind this model is to capture interactions arising due to differences in structures and properties on a microscale, considering smaller tissue samples built up from individual cells, which potentially could differ in their geometries, material properties, or contraction dynamics.…”

Section: Introductionmentioning

confidence: 99%

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A cell-based framework for modeling cardiac mechanics

Telle

Trotter

Cai

et al. 2023

Biomech Model Mechanobiol

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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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Section: The Mathematical Frameworkmentioning

confidence: 99%