Does the collagen network contribute to normal systolic left ventricular wall thickening? A theoretical study in continuum mechanics

Jacques Ohayon, Christian Bourdarias, Stéphane Gerbi

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Studies in mammalian hearts shown that left ventricular wall thickening is an important mechanism for normal systolic ejection, and that during contraction the myocardium develops a significant stress in the muscular cross-fiber direction. We suggested that the collagen network surrounding the muscular fibers could account for these two mechanical behaviors. To test this hypothesis, we developed a mathematical model for a large deformation response of an active, incompressible, hyperelastic and transversely isotropic cardiac tissue, in which we included a coupling effect between the connective tissue and the muscular fibers. The three-dimensional constitutive law containing this internal pseudo-active kinematic constraint is derived and applied to obtain solutions for the cases of a free contraction, uniaxial and equibiaxial extensions of a rectangular sample assuming negligible body forces and inertia effects. This model may explain the contribution of the collagen network to the two following mechanics: (i) the normal systolic wall thickening, and (ii) the developed pseudo-active tension in the cross-fiber direction.

Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
EditorsIsabelle E. Magnin, Johan Montagnat, Patrick Clarysse, Jukka Nenonen, Toivo Katila
PublisherSpringer-Verlag
Pages91-100
Number of pages10
ISBN (Print)3540402624, 9783540402626
DOIs
StatePublished - 2003

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2674
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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