28 citations · 65 across the 3 of their papers we have counts for
4 papers
Fisher Waves: an individual based stochastic model
Bahram Houchmandzadeh, Marcel Vallade
The propagation of a beneficial mutation in a spatially extended population is usually studied using the phenomenological stochastic Fisher-Kolmogorov (SFKPP) equation. We derive h…
A simple, general result for the variance of substitution number in molecular evolution
Bahram Houchmandzadeh, Marcel Vallade
The number of substitutions (of nucleotides, amino acids, ...) that take place during the evolution of a sequence is a stochastic variable of fundamental importance in the field of…
Exact results for a noise-induced bistable system
Bahram Houchmandzadeh, Marcel Vallade
A stochastic system where bistability is caused by noise has been recently investigated by Biancalani et al. (PRL 112:038101, 2014). They have computed the mean switching time for…
Exact results for fixation probability of bithermal evolutionary graphs
Bahram Houchmandzadeh, Marcel Vallade
One of the most fundamental concepts of evolutionary dynamics is the "fixation" probability, i.e. the probability that a mutant spreads through the whole population. Most natural c…