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

作者：Boel Markus; Schmitz Andre; Nowak Goetz; Siebert Tobias

来源：Journal of the Mechanical Behavior of Biomedical Materials, 2012, 13: 215-229.

DOI：10.1016/j.jmbbm.2012.05.015

• Smooth muscle
• Calcium diffusion
• Monolithic coupling
• Muscle contraction
• Porcine carotid artery

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 Schmitz and Bol 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.

• 出版日期2012-9