28 citations · 131 across the 15 of their papers we have counts for
6 papers · 1 filter
A master equation approach to the n-coalescent problem
Bahram Houchmandzadeh
Given an evolutionary model, such as Wright--Fisher (WF) or Moran, the n-coalescent problem consists of going backward in time to find for example the time to the most recent commo…
Neutral Aggregation in Finite Length Genotype space
Bahram Houchmandzadeh
The advent of modern genome sequencing techniques allows for a more stringent test of the neutrality hypothesis of Darwinian evolution, where all individuals have the same fitness.…
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…
Noise driven emergence of cooperative behavior
Bahram Houchmandzadeh
Cooperative behaviors are defined as the production of common goods benefitting all members of the community at the producer's cost. They could seem to be in contradiction with nat…
An alternative to the breeder's and Lande's equations
Bahram Houchmandzadeh
The breeder's equation is a cornerstone of quantitative genetics and is widely used in evolutionary modeling. The equation which reads R=h^{2}S relates response to selection R (the…
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…