The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications
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 …
has attracted remarkable interest from the mathematical community because of its intrinsic …
[HTML][HTML] Bridging experiments, models and simulations: an integrative approach to validation in computational cardiac electrophysiology
A Carusi, K Burrage… - American Journal of …, 2012 - journals.physiology.org
Computational models in physiology often integrate functional and structural information
from a large range of spatiotemporal scales from the ionic to the whole organ level. Their …
from a large range of spatiotemporal scales from the ionic to the whole organ level. Their …
Integrated heart—coupling multiscale and multiphysics models for the simulation of the cardiac function
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 …
various cardiac diseases, which remain the most common cause of death in the developed …
A mathematical model that integrates cardiac electrophysiology, mechanics, and fluid dynamics: Application to the human left heart
We propose a mathematical and numerical model for the simulation of the heart function that
couples cardiac electrophysiology, active and passive mechanics and hemodynamics, and …
couples cardiac electrophysiology, active and passive mechanics and hemodynamics, and …
Chaste: an open source C++ library for computational physiology and biology
Chaste—C ancer, H eart A nd S oft T issue E nvironment—is an open source C++ library for
the computational simulation of mathematical models developed for physiology and biology …
the computational simulation of mathematical models developed for physiology and biology …
[HTML][HTML] A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation
We propose a novel mathematical and numerical model for cardiac electromechanics,
wherein biophysically detailed core models describe the different physical processes …
wherein biophysically detailed core models describe the different physical processes …
Verification of cardiac tissue electrophysiology simulators using an N-version benchmark
Ongoing developments in cardiac modelling have resulted, in particular, in the development
of advanced and increasingly complex computational frameworks for simulating cardiac …
of advanced and increasingly complex computational frameworks for simulating cardiac …
[图书][B] Mathematical modelling of the human cardiovascular system: data, numerical approximation, clinical applications
Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …
lifex-ep: a robust and efficient software for cardiac electrophysiology simulations
Background Simulating the cardiac function requires the numerical solution of multi-physics
and multi-scale mathematical models. This underscores the need for streamlined, accurate …
and multi-scale mathematical models. This underscores the need for streamlined, accurate …
[HTML][HTML] Multipatch isogeometric analysis for electrophysiology: simulation in a human heart
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 …
NURBS-based Isogeometric Analysis for the space discretization of the Monodomain model …