Back to Departmental Colloquium: Spring 2006
Departmental Colloquium
Date: Tuesday, Feb 7, 2006
Time: 4:00PM - 5:00PM
Location: JWB 335
Special Colloquium
Y. C. (Yen-Ching) Pao
University of Nebraska
Title |
Mathematical Models for Assessing the Passive Elasticity and Active Contractility of Heart Muscles |
Abstract |
Mathematical Models for Assessing Elasticity of Heart Muscles Mathematical Models for Assessing the Passive Elasticity and Active Contractility of Heart Muscles* Y. C. (Yen-Ching) Pao, Ph. D. Professor Emeritus of Engineering Mechanics # University of Nebraska Lincoln, Nebraska Finite Element Models are applied for assessing in vivo how the heart wall muscles (myocardium) are stretching during the diastolic, passive phase and contracting during the systolic, active phase of cardiac cycles. The chronologically developed models for (a) the x-ray, by-plane silhouettes, (b) computer-tomographically imaged cross sections, and (c) reconstructed, 3-D true shape of the heart are explained. These passive and active characteristics of the working heart wall muscles, particularly those of the pumping left ventricle during cardiac cycles are iteratively determined using these finite-element models. The heart wall muscles have been considered as a layered (with varying angle of fiber-winding), viscoelastic material. Investigation of regional, left ventricular wall muscles with the bifurcation points of the coronary arterial tree as markers for defining the region and also as nodes of isoparametric element using curvilinear coordinates has led to the study of the burst pressure of obstructed arterial blood vessel. Development of the necessary in-house computer software and algorithms for the finite-element iteration involving a very large system of linear algebraic equation (with a coefficient matrix having non-zero elements sparsely distributed near its main diagonal) will also be discussed. * A collaborative research in the years of 1974~2003 with the scientists at the Mayo Clinic, Rochester, Minnesota # Fellow, the American Society of Mechanical Engineering |
Mathematical Biology
Applied Mathematics
Computational Mathematics