In this paper we introduce the electromechanical mathematical model of the human heart.
After deriving it from physical first principles, we discuss its mathematical properties and the …

This paper studies the feasibility of optimal sparse boundary control of the bidomain-bath
model in cardiac electrophysiology. We incorporated the Luo–Rudy phase I (LR-I) …

The purpose of this paper is to address a class of hybrid optimal control problems
constrained with hyperelasticity and constant global volume. This type of problems can …

We analyse a system of nonlinear stochastic partial differential equations (SPDEs) of mixed
elliptic-parabolic type that models the propagation of electric signals and their effect on the …

In this paper, we apply a rigorous homogenization method based on unfolding operators to
a microscopic bidomain model representing the electrical activity of the heart at a cellular …

One key characterstic of the cardiac function is its complexity, ie, the multitude of different
phenomena acting on various temporal and spatial scales interacting with each other. Over …

In this study, the cardiac electro-mechanical model in a deforming domain is taken with the
addition of mechanical feedback and stretch-activated channel current coupled with the ten …

The purpose of this paper is to model mathematically mechanical aspects of cardiac tissues.
The latter constitute an elastic domain whose total volume remains constant. The time …

This thesis is concerned with the mathematical analysis and numerical simulation of cardiac
electrophysiology models. We use the unfolding method of homogenization to rigorously …

The paper deals with the transformation of a weakly nonlinear system of differential
equations in a special form into a simplified form and its relation to the normal form and …