Abstract The FitzHugh–Nagumo equation, originally conceived in neuroscience during the
1960s, became a key model providing a simplified view of excitable neuron cell behavior. Its …

Models of cardiac tissue electrophysiology are an important component of the Cardiac
Physiome Project, which is an international effort to build biophysically based multi-scale …

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 …

This book is designed to be used by mathematicians, engineers, and computer scientists as
a graduate-level introduction to numerical analysis and its methods. Readers are expected …

Many problems in Biology and Engineering are governed by anisotropic reaction–diffusion
equations with a very rapidly varying reaction term. This usually implies the use of very fine …

The use of computer models as a tool for the study and understanding of the complex
phenomena of cardiac electrophysiology has attained increased importance nowadays. At …

This book deals with the general topic “Numerical solution of partial differential equations
(PDEs)” with a focus on adaptivity of discretizations in space and time. By and large …

Multilevel additive Schwarz methods are analyzed and studied numerically for the
anisotropic cardiac Bidomain model in three dimensions. This is the most complete model to …