Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

Pattern estimation and selection in media can give important clues to understand the
collective response to external stimulus by detecting the observable variables. Both reaction …

Mathematical modeling of the human heart and its function can expand our understanding of
various cardiac diseases, which remain the most common cause of death in the developed …

This book covers the main mathematical and numerical models in computational
electrocardiology, ranging from microscopic membrane models of cardiac ionic channels to …

This is a book on Optimal Control Problems (OCPs): how to formulate them, how to set up a
suitable mathematical framework for their analysis, how to approximate them numerically …

The goal of this paper is to describe the state of the art on the question of global existence of
solutions to reaction-diffusion systems for which two main properties hold: on one hand, the …

The paper deals with a mathematical model for the electric activity of the heart at the
macroscopic level. The membrane model used to describe the ionic currents is a …

The bidomain model is a system of partial differential equations used to model the
propagation of electrical potential waves in the myocardium. It is composed of coupled …

In the framework of cardiac electrophysiology for the human heart, we apply multipatch
NURBS-based Isogeometric Analysis for the space discretization of the Monodomain model …

The efficient solution of coupled PDEs/ODEs problems arising in cardiac electrophysiology
is of key importance whenever interested to study the electrical behavior of the tissue for …