New developments in an anatomical framework for modeling cardiac ischemia
N. Smith‚ C. Stevens‚ A. Pullan‚ P. Hunter and P. Mulquiney
Abstract
A new, anatomically accurate, mathematical model of the right and left porcine ventricular myocardium. is described based on measurements of the geometry and fibrous-sheet structure. Passive and active properties of the myocardium are calculated using an orthotropic constitutive law based on the fibrous-sheet structure and a biophysical cellular based model of cardiac contraction. Using Galerkin finite element techniques, the equations of finite deformation are solved to determine deformation and regional wall stress through the heart cycle. The mechanics model is coupled via myocardial wall stress, to a one-dimensional coronary blood flow model embedded in the myocardium. Bidomain electrical activation of the myocardium. is also modeled, with ionic current based electrophysiological equations and reaction-diffusion equations based on orthotropic conductivity tensors referred to the fibrous-sheet material axes. Metabolic models are used to couple energy supply to contraction and excitation in the heart, and at the body surface, a framework for quantifying the effect of ischemic heart disease is developed.
Details
| Journal |
International Journal of Bifurcation and Chaos |
| Keywords |
mathematical model cardiac ischemia anatomically based heart ventricular myocardium heart cell |
| Note |
779UV Times Cited:1 Cited References Count:19 |
| Number |
12 |
| Pages |
3717−3722 |
| Volume |
13 |
| Year |
2003 |
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