Numerical Simulator for Estimation of Mechanical Function of Human Left Ventricle : Study of Basic System

Electrodynamic Heart Model Construction and ECG Simulation

“…Thet otal stiffness matrix [ K ]i sc alculatedascan be seen in equation 6(seeAppendix),where [ B ]isthe matrixassociated with the derivativesofthe shape functions, [ C ] lm is thee lasticity matrix of layer l and and{ F f }i st he total vector of the active forces calculateda sc an be seen in equation (5)( see Appendix),w here [ B ]i sa geometricmatrix of an element, l , L e stand for the numbera nd total number of layers in an elementr espectively, and T is the transformation matrix between the fiberc oordinate andg lobal coordinate. {0,0,σ ′ e ,0,0,0,} l T is the activef orcer ow vector in the fiber-coordinate system, σ´e is the nominalactivetensile stress, i.e., the activef orced ividedb yt he original crosssectionalareaofthe myocardium,the detail computation of σ ′ e can be found in [31,32]. | J |i st he determinant of the Jacobianm a- segment m ,and m / M e stand for the number/ totalnumbers of segments in layer l in circumferentiald irection respectively.A fter calculation of equations (5) and(6), through equation (4), we can get{δ }.…”