A pseudo active kinematic constraint for a biological living soft tissue: An effect of the collagen network

Christian Bourdarias, Stéphane Gerbi, Jacques Ohayon

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

Recent studies in mammalian hearts show that left ventricular wall thickening is an important mechanism for systolic ejection, and that during contraction the cardiac muscle develops significant stresses in the muscular cross-fiber direction. We suggested that the collagen network surrounding the muscular fibers could account for these mechanical behaviors. To test this hypothesis we develop a model for large deformation response of active, incompressible, nonlinear elastic and transversely isotropic living soft tissue (such as cardiac or arteries tissues) in which we include a coupling effect between the connective tissue and the muscular fibers. Then, a three-dimensional finite element formulation including this internal pseudo-active kinematic constraint is derived. Analytical and finite element solutions are in a very good agreement. The numerical results show this wall thickening effect with an order of magnitude compatible with the experimental observations.

Original languageEnglish (US)
Pages (from-to)2170-2181
Number of pages12
JournalMathematical and Computer Modelling
Volume49
Issue number11-12
DOIs
StatePublished - Jun 2009

Keywords

  • Anisotropic material
  • Constitutive law
  • Finite element method
  • Hyperelasticity
  • Living tissue
  • Nonlinear partial differential equations

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Science Applications

Fingerprint Dive into the research topics of 'A pseudo active kinematic constraint for a biological living soft tissue: An effect of the collagen network'. Together they form a unique fingerprint.

Cite this