A three-dimensional chemo-mechanical continuum model for smooth muscle contraction

Autor: André Schmitz, Markus Böl, Götz Nowak, Tobias Siebert
Rok vydání: 2012
Předmět:
Zdroj: Journal of the Mechanical Behavior of Biomedical Materials. 13:215-229
ISSN: 1751-6161
DOI: 10.1016/j.jmbbm.2012.05.015
Popis: Based on two fields, namely the placement and the calcium concentration, a chemo-mechanically coupled three-dimensional model, describing the contractile behaviour of smooth muscles, is presented by means of a strain energy function. The strain energy function (Schmitz and Böl, 2011) is additively decomposed into a passive part, relating to elastin and collagen, and an active calcium-driven part related to the chemical contraction of the smooth muscle cells. For the description of the calcium phase the four state cross-bridge model of Hai and Murphy (Hai and Murphy, 1988) has been implemented into the finite element method. Beside three-dimensional illustrative boundary-value problems demonstrating the features of the presented modelling concept, simulations on an idealised artery document the applicability of the model to more realistic geometries.
Databáze: OpenAIRE