Solvers for the cardiac bidomain equations
The bidomain equations are widely used for the simulation of electrical activity in cardiac tissue. They are especially important for accurately modeling extracellular stimulation, as evidenced by their prediction of virtual electrode polarization before experimental verification. However, solution...
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| Published in | Progress in biophysics and molecular biology Vol. 96; no. 1; pp. 3 - 18 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
England
Elsevier Ltd
01.01.2008
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| Subjects | |
| Online Access | Get full text |
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| Abstract | The bidomain equations are widely used for the simulation of electrical activity in cardiac tissue. They are especially important for accurately modeling extracellular stimulation, as evidenced by their prediction of virtual electrode polarization before experimental verification. However, solution of the equations is computationally expensive due to the fine spatial and temporal discretization needed. This limits the size and duration of the problem which can be modeled. Regardless of the specific form into which they are cast, the computational bottleneck becomes the repeated solution of a large, linear system. The purpose of this review is to give an overview of the equations and the methods by which they have been solved. Of particular note are recent developments in multigrid methods, which have proven to be the most efficient. |
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| AbstractList | The bidomain equations are widely used for the simulation of electrical activity in cardiac tissue. They are especially important for accurately modelling extracellular stimulation, as evidenced by their prediction of virtual electrode polarization before experimental verification. However, solution of the equations is computationally expensive due to the fine spatial and temporal discretization needed. This limits the size and duration of the problem which can be modeled. Regardless of the specific form into which they are cast, the computational bottleneck becomes the repeated solution of a large, linear system. The purpose of this review is to give an overview of the equations, and the methods by which they have been solved. Of particular note are recent developments in multigrid methods, which have proven to be the most efficient. The bidomain equations are widely used for the simulation of electrical activity in cardiac tissue. They are especially important for accurately modeling extracellular stimulation, as evidenced by their prediction of virtual electrode polarization before experimental verification. However, solution of the equations is computationally expensive due to the fine spatial and temporal discretization needed. This limits the size and duration of the problem which can be modeled. Regardless of the specific form into which they are cast, the computational bottleneck becomes the repeated solution of a large, linear system. The purpose of this review is to give an overview of the equations and the methods by which they have been solved. Of particular note are recent developments in multigrid methods, which have proven to be the most efficient. |
| Author | Prassl, A.J. Deo, M. Vigmond, E.J. Weber dos Santos, R. Plank, G. |
| AuthorAffiliation | a Department of Electrical and Computer Engineering, University of Calgary, Calgary, AB, Canada b Department of Computer Science and Program on Computational Modeling, Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil c Institute of Biophysics, Center for Physiological Medicine, Medical University of Graz, Graz, Austria |
| AuthorAffiliation_xml | – name: c Institute of Biophysics, Center for Physiological Medicine, Medical University of Graz, Graz, Austria – name: b Department of Computer Science and Program on Computational Modeling, Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil – name: a Department of Electrical and Computer Engineering, University of Calgary, Calgary, AB, Canada |
| Author_xml | – sequence: 1 givenname: E.J. surname: Vigmond fullname: Vigmond, E.J. email: vigmond@ucalgary.ca organization: Department of Electrical and Computer Engineering, University of Calgary, Calgary, Alta., Canada – sequence: 2 givenname: R. surname: Weber dos Santos fullname: Weber dos Santos, R. organization: Department of Computer Science and Program on Computational Modeling, Universidade Federal de Juiz de Fora, Juiz de Fora, Brazil – sequence: 3 givenname: A.J. surname: Prassl fullname: Prassl, A.J. organization: Institute of Biophysics, Center for Physiological Medicine, Medical University of Graz, Graz, Austria – sequence: 4 givenname: M. surname: Deo fullname: Deo, M. organization: Department of Electrical and Computer Engineering, University of Calgary, Calgary, Alta., Canada – sequence: 5 givenname: G. surname: Plank fullname: Plank, G. organization: Institute of Biophysics, Center for Physiological Medicine, Medical University of Graz, Graz, Austria |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/17900668$$D View this record in MEDLINE/PubMed |
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| Snippet | The bidomain equations are widely used for the simulation of electrical activity in cardiac tissue. They are especially important for accurately modeling... The bidomain equations are widely used for the simulation of electrical activity in cardiac tissue. They are especially important for accurately modelling... |
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| SubjectTerms | Algorithms Animals Bidomain model Cardiac electrical modeling Computational Biology Heart - physiology Heart Conduction System - physiology Humans Models, Cardiovascular Multigrid Preconditioning |
| Title | Solvers for the cardiac bidomain equations |
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