Abstract
Several studies have been carried out recently with the aim of achieving cardiac modeling of the whole heart for a full heartbeat. However, within the context of the Galerkin method, those simulations have a high computational demand, ranging from 16 to 200 CPUs, and long calculation times, lasting from 1 to 50h. To solve this problem, this research proposes to make use of a reduced order method called the proper orthogonal decomposition with interpolation (PODI) method to achieve real-time modeling with an adequate level of solution accuracy. The idea behind this method is to first construct a database of precomputed full-scale solutions of the heart's biomechanical and physiological characteristics using the element-free Galerkin method or the finite element method and then project a selected subset of these solutions to a low-dimensional space. Using the moving least square approximation method, an interpolation is carried out for the problem at hand, before the resulting solution is projected back to the original high-dimensional solution space.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
