Implicit Time Integration in a Volumetric Mass-Spring System for Modeling Myocardial Elastomechanics

摘要

A modified mass-spring system for simulating the passive and active elastomechanical properties of the myocardial tissue is presented in [1]. The results presented in [11 are combined with the method of [2] to use continuum mechanics calculate passive forces in a mass-spring system directly starting from the energy density function of the stress-strain relation. An efficient method for volume preservation is presented and the implementation of an implicit time integration method for solving the system's equations of motion is described. The computational complexity of the system is analyzed and shown to be of O(n). At the end several simulations are conducted to demonstrate the method.