28 citations · 131 across the 15 of their papers we have counts for
17 papers
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…
A geometric derivation of Noether's theorem
Bahram Houchmandzadeh
Noether's theorem is a cornerstone of analytical mechanics, making the link between symmetries and conserved quantities. In this article, I propose a simple, geometric derivation o…
When lowering temperature, the in vivo circadian clock in cyanobacteria follows and surpasses the in vitro protein clock trough the Hopf bifurcation
I. Mihalcescu, H. Kaji, H. Maruyama +4
The in vivo circadian clock in single cyanobacteria is studied here by time-lapse fluorescence microscopy when the temperature is lowered below 25°C . We first disentangle the circ…
The Hamilton-Jacobi Equation: an intuitive approach
Bahram Houchmandzadeh
The Hamilton-Jacobi equation (HJE) is one of the most elegant approach to Lagrangian systems such as geometrical optics and classical mechanics, establishing the duality between tr…
Large deviation of long time average for a stochastic process : an alternative method
Bahram Houchmandzadeh
We present here a simple method for computing the large deviation of long time average for stochastic jump processes. We show that the computation of the rate function can be reduc…
Giant fluctuations in logistic growth
Bahram Houchmandzadeh
We analyze the fluctuation of the number of individuals when two competing species, beginning with a few initial individuals, are submitted to a logistic growth. We show that when…
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…
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.…
Nonlinear modification of the laser noise power spectrum induced by a frequency-shifted optical feedback
Eric Lacot, Bahram Houchmandzadeh, Vadim Girardeau +2
In this article, we study the non-linear coupling between the stationary (i.e. the beating modulation signal) and transient (i.e. the laser quantum noise) dynamics of a laser subje…
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…
Neutron fluctuations: the importance of being delayed
Bahram Houchmandzadeh, Eric Dumonteil, Alain Mazzolo +1
The neutron population in a nuclear reactor is subject to fluctuations in time and in space due to the competition of diffusion by scattering, births by fission events, and deaths…
General formulation of Luria-Delbr{ü}ck distribution of the number of mutants
Bahram Houchmandzadeh
The Luria-Delbr{ü}ck experiment is a cornerstone of evolutionary theory, demonstrating the randomness of mutations before selection. The distribution of the number of mutants in th…
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…
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…
The remarkable discreteness of being
Bahram Houchmandzadeh
Life is a discrete, stochastic phenomena : for a biological organism, the time of the two most important events of its life (reproduction and death) is random and these events chan…
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…