Computational Mechanics of the Heart |
| |
Authors: | M P Nash P J Hunter |
| |
Institution: | (1) University Laboratory of Physiology, University of Oxford, Parks Road, Oxford, OX1 3PT, U.K.;(2) Department of Engineering Science, The University of Auckland, Auckland, New Zealand |
| |
Abstract: | Finite elasticity theory combined with finite element analysis provides the framework for analysing ventricular mechanics
during the filling phase of the cardiac cycle, when cardiac cells are not actively contracting. The orthotropic properties
of the passive tissue are described here by a “pole–zero” constitutive law, whose parameters are derived in part from a model
of the underlying distributions of collagen fibres. These distributions are based on our observations of the fibrous-sheet
laminar architecture of myocardial tissue. We illustrate the use of high order (cubic Hermite) basis functions in solving
the Galerkin finite element stress equilibrium equations based on this orthotropic constitutive law and for incorporating
the observed regional distributions of fibre and sheet orientations. Pressure–volume relations and 3D principal strains predicted
by the model are compared with experimental observations. A model of active tissue properties, based on isolated muscle experiments,
is also introduced in order to predict transmural distributions of 3D principal strains at the end of the contraction phase
of the cardiac cycle. We end by offering a critique of the current model of ventricular mechanics and propose new challenges
for future modellers.
This revised version was published online in July 2006 with corrections to the Cover Date. |
| |
Keywords: | finite elastic deformation cardiac mechanics orthotropic constitutive relations fibrous-sheet tissue structure |
本文献已被 SpringerLink 等数据库收录! |
|