Name
Title | ||
|---|---|---|
A finite volume scheme for cardiac propagation in media with isotropic conductivities |
Abstract | ||
|---|---|---|
A finite volume method for solving the monodomain and bidomain models for the electrical activity of myocardial tissue is presented. These models consist of a parabolic PDE and a system of a parabolic and an elliptic PDE, respectively, for certain electric potentials, coupled to an ODE for the gating variable. The existence and uniqueness of the approximate solution is proved, and it is also shown that the scheme converges to the corresponding weak solutions for the monodomain model, and for the bidomain model when considering diagonal conductivity tensors. Numerical examples in two and three space dimensions are provided, indicating experimental rates of convergence slightly above first order for both models. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.matcom.2009.12.010 | Mathematics and Computers in Simulation |
Keywords | Field | DocType |
reaction–diffusion system,35m10,bidomain model,axially symmetric bidomain model,35k65,65m12,parabolic pde,reaction-diffusion system,65m60,finite volume approximation,elliptic pde,diagonal conductivity tensors,isotropic conductivity,certain electric potential,finite volume scheme,corresponding weak solution,convergence to the weak solution,approximate solution,monodomain model,experimental rate,electrical activity,cardiac propagation,finite volume method,first order,finite volume,rate of convergence,weak solution | Parabolic partial differential equation,Uniqueness,Bidomain model,Isotropy,Mathematical optimization,Monodomain model,Mathematical analysis,Finite volume method,Mathematics,Ode,Parabola | Journal |
Volume | Issue | ISSN |
80 | 9 | Mathematics and Computers in Simulation |
Citations | PageRank | References |
3 | 0.54 | 5 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mostafa Bendahmane | 1 | 35 | 9.38 |
| Raimund Bürger | 2 | 46 | 7.61 |
| Ricardo Ruiz-Baier | 3 | 77 | 13.60 |