How Compressibility Influences the Mechanical Bidomain Model

The Electrical Bidomain Model: A Review

Bidomain model is a mathematical representation of the anisotropic electrical properties of cardiac tissue. It is used to simulate cardiac electrical tissue computationally and to study the stimulation of cardiac tissue and defibrillation of the heart. The model is developed using realistic physiological parameter values based on experimental measurement. The first part of this review describes...

Mechanical metamaterials with negative compressibility transitions.

When tensioned, ordinary materials expand along the direction of the applied force. Here, we explore network concepts to design metamaterials exhibiting negative compressibility transitions, during which a material undergoes contraction when tensioned (or expansion when pressured). Continuous contraction of a material in the same direction of an applied tension, and in response to this tension,...

A Bidomain Model for Neural Tissue

Bidomain models have most commonly used to simulate cardiac tissue. They have only infrequently been used to model neural tissue as they are often computationally intensive and other modeling techniques such as the core conductor model are more appropriate for studying phenomena such as propagation in neural systems. A bidomain model of an aplysia abdominal ganglion was created using COMSOL Mul...

A model preconditioner for the Bidomain problem in electrocardiology

We introduce a preconditioner for the solution of the Bidomain system governing the propagation of action potentials in the myocardial tissue, represented by a degenerate parabolic set of nonlinear reaction-diffusion equations. The nonlinear term describes the ion flux at the cellular level. The degenerate nature of the problem results in a severe ill conditioning of its discretization. Our pre...

From PDE to Software: Numerical techniques for the bidomain model