Mechanical Models of Pattern and Form in Biological Tissues: The Role of Stress-Strain Constitutive Equations.

ABSTRACT: Mechanical and mechanochemical models of pattern formation in biological tissues have been used to study a variety of biomedical systems, particularly in developmental biology, and describe the physical interactions between cells and their local surroundings. These models in their original form consist of a balance equation for the cell density, a balance equation for the density of the extracellular matrix (ECM), and a force-balance equation describing the mechanical equilibrium of the cell-ECM system. Under the assumption that the cell-ECM system can be regarded as an isotropic linear viscoelastic material, the force-balance equation is often defined using the Kelvin-Voigt model of linear viscoelasticity to represent the stress-strain relation of the ECM. However, due to the multifaceted

SUBMITTER: Villa C 

PROVIDER: S-EPMC8154836 | biostudies-literature | 2021 May

REPOSITORIES: biostudies-literature