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 …
Models of cardiac tissue electrophysiology: progress, challenges and open questions
RH Clayton, O Bernus, EM Cherry, H Dierckx… - Progress in biophysics …, 2011 - Elsevier
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 …
Physiome Project, which is an international effort to build biophysically based multi-scale …
[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 …
A numerical guide to the solution of the bidomain equations of cardiac electrophysiology
Simulation of cardiac electrical activity using the bidomain equations can be a massively
computationally demanding problem. This study provides a comprehensive guide to …
computationally demanding problem. This study provides a comprehensive guide to …
A numerical study of scalable cardiac electro-mechanical solvers on HPC architectures
We introduce and study some scalable domain decomposition preconditioners for cardiac
electro-mechanical 3D simulations on parallel HPC (High Performance Computing) …
electro-mechanical 3D simulations on parallel HPC (High Performance Computing) …
Efficient estimation of cardiac conductivities: A proper generalized decomposition approach
While the potential groundbreaking role of mathematical modeling in electrophysiology has
been demonstrated for therapies like cardiac resynchronization or catheter ablation, its …
been demonstrated for therapies like cardiac resynchronization or catheter ablation, its …
[HTML][HTML] A comparison of Algebraic Multigrid Bidomain solvers on hybrid CPU–GPU architectures
E Centofanti, S Scacchi - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
The numerical simulation of cardiac electrophysiology is a highly challenging problem in
scientific computing. The Bidomain system is the most complete mathematical model of …
scientific computing. The Bidomain system is the most complete mathematical model of …
Algebraic multigrid methods for metric-perturbed coupled problems
We develop multilevel methods for interface-driven multiphysics problems that can be
coupled across dimensions and where complexity and strength of the interface coupling …
coupled across dimensions and where complexity and strength of the interface coupling …
A model-based block-triangular preconditioner for the Bidomain system in electrocardiology
We introduce a preconditioner for the solution of the Bidomain system governing the
propagation of action potentials in the myocardial tissue. The Bidomain model is a …
propagation of action potentials in the myocardial tissue. The Bidomain model is a …
Bioelectrical effects of mechanical feedbacks in a strongly coupled cardiac electro-mechanical model
P Colli Franzone, LF Pavarino… - Mathematical Models and …, 2016 - World Scientific
The aim of this work is to investigate by means of numerical simulations the effects of
myocardial deformation due to muscle contraction on the bioelectrical activity of the cardiac …
myocardial deformation due to muscle contraction on the bioelectrical activity of the cardiac …