The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications

A Quarteroni, A Manzoni, C Vergara - Acta Numerica, 2017‏ - cambridge.org
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 …

Six decades of the FitzHugh–Nagumo model: A guide through its spatio-temporal dynamics and influence across disciplines

D Cebrián-Lacasa, P Parra-Rivas, D Ruiz-Reynés… - Physics Reports, 2024‏ - Elsevier
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 …

[کتاب][B] Mathematical cardiac electrophysiology

PC Franzone, LF Pavarino, S Scacchi - 2014‏ - books.google.com
This book covers the main mathematical and numerical models in computational
electrocardiology, ranging from microscopic membrane models of cardiac ionic channels to …

[کتاب][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications

A Quarteroni, A Manzoni, C Vergara - 2019‏ - books.google.com
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

[کتاب][B] Computing the electrical activity in the heart

J Sundnes, GT Lines, X Cai, BF Nielsen, KA Mardal… - 2007‏ - books.google.com
The heart is a fantastic machine; during a normal lifetime it beats about 2.5 billion times and
pumps 200.000 tons of blood through an enormous system of vessels extending 160.000 …

Estimation of conduction velocity vector fields from epicardial map** data

PV Bayly, BH KenKnight, JM Rogers… - IEEE transactions on …, 1998‏ - ieeexplore.ieee.org
An automated method to estimate vector fields of propagation velocity from observed
epicardial extracellular potentials is introduced. The method relies on fitting polynomial …

[کتاب][B] Mathematically modelling the electrical activity of the heart: from cell to body surface and back again

A Pullan, ML Buist, LK Cheng - 2005‏ - books.google.com
This book on modelling the electrical activity of the heart is an attempt to describe continuum
based modelling of cardiac electrical activity from the cell level to the body surface (the …

Modeling total heart function

PJ Hunter, AJ Pullan, BH Smaill - Annual review of biomedical …, 2003‏ - annualreviews.org
▪ Abstract Computational models of the electrical and mechanical function of the heart are
reviewed. These models attempt to explain the integrated function of the heart in terms of …

Phase reduction and phase-based optimal control for biological systems: a tutorial

B Monga, D Wilson, T Matchen, J Moehlis - Biological cybernetics, 2019‏ - Springer
A powerful technique for the analysis of nonlinear oscillators is the rigorous reduction to
phase models, with a single variable describing the phase of the oscillation with respect to …

[HTML][HTML] A guide to modelling cardiac electrical activity in anatomically detailed ventricles

RH Clayton, AV Panfilov - Progress in biophysics and molecular biology, 2008‏ - Elsevier
One of the most recent trends in cardiac electrophysiology is the development of integrative
anatomically accurate models of the heart, which include description of cardiac activity from …