Spherical topology in cardiac simulations
| Autor: | Steffan Puwal, Bradley J. Roth, David Garfinkle |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Curvilinear coordinates
Mathematical model Computer science Defibrillation Quantitative Biology::Tissues and Organs General Neuroscience medicine.medical_treatment Coordinate system Articles Topology General Biochemistry Genetics and Molecular Biology Spherical shell medicine Gravitational singularity Boundary value problem Laplace operator Simulation |
| Zdroj: | HFSP Journal. 3:124-129 |
| ISSN: | 1955-2068 |
| Popis: | Computational simulations of the electrodynamics of cardiac fibrillation yield a great deal of useful data and provide a framework for theoretical explanations of heart behavior. Extending the application of these mathematical models to defibrillation studies requires that a simulation should sustain fibrillation without defibrillation intervention. In accordance with the critical mass hypothesis, the simulated tissue should be of a large enough size. The choice of biperiodic boundary conditions sustains fibrillation for a longer duration than no-flux boundary conditions for a given area, and so is commonly invoked. Here, we show how this leads to a boundary condition artifact that may complicate the analysis of defibrillation efficacy; we implement an alternative coordinate scheme that utilizes spherical shell topology and mitigates singularities in the Laplacian found with the usual spherical curvilinear coordinate system. |
| Databáze: | OpenAIRE |
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