- Abstract:
-
The Wright-Fisher model is an Itô stochastic differential equation that was originally introduced to model genetic drift within finite populations and has recently been used as an approximation to ion channel dynamics within cardiac and neuronal cells. While analytic solutions to this equation remain within the interval [0,1], current numerical methods are unable to preserve such boundaries in the approximation. We present a new numerical method that guarantees approximations to a form of Wri...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1007/s10543-011-0351-3
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- Journal:
- BIT NUMERICAL MATHEMATICS
- Volume:
- 52
- Issue:
- 2
- Pages:
- 283-304
- Publication date:
- 2012-06-05
- DOI:
- EISSN:
-
1572-9125
- ISSN:
-
0006-3835
- URN:
-
uuid:2802986b-3810-46f1-944a-5188fa22e4a6
- Source identifiers:
-
341697
- Local pid:
- pubs:341697
- Copyright date:
- 2012
Journal article
A boundary preserving numerical algorithm for the Wright-Fisher model with mutation
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