## Efficient Simulation of Action Potential Propagation in a Bidomain (1992)

Citations: | 4 - 0 self |

### BibTeX

@MISC{Hooke92efficientsimulation,

author = {Nigel F. Hooke},

title = {Efficient Simulation of Action Potential Propagation in a Bidomain},

year = {1992}

}

### OpenURL

### Abstract

Computer simulation is an important tool for investigating the propagation behaviour of electrical excitation in cardiac tissue. When ionic models of cell membrane excitation are combined with the bidomain model of macroscopic tissue properties, numerical solution of the resulting partial differential equations requires a substantial amount of computation. Thus more efficient numerical methods are needed. One aspect of the computational complexity of this problem is the need for detailed spatial and temporal resolution while the depolarizing front of excitation propagates through the domain. During the subsequent, and more protracted, repolarization phase, the solution changes more slowly and a much coarser discretization would be adequate. Previous approaches have incorporated explicit integration methods whose stability limitations have prevented exploitation of this change in time scales. This study applies a stable implicit integration method which allows the time-step to be contro...