203 citations · 1.7k across the 54 of their papers we have counts for
5 papers · 1 filter
Effect of reaction step-size noise on the switching dynamics of stochastic populations
Shay Be'er, Metar Heller-Algazi, Michael Assaf
In genetic circuits, when the mRNA lifetime is short compared to the cell cycle, proteins are produced in geometrically-distributed bursts, which greatly affects the cellular switc…
The dynamics of simple gene-network motifs subject to extrinsic fluctuations
Elijah Roberts, Shay Be'er, Chris Bohrer +2
Cellular processes do not follow deterministic rules; even in identical environments genetically identical cells can make random choices leading to different phenotypes. This rando…
Stochastic dynamics and logistic population growth
Vicenç Méndez, Michael Assaf, Daniel Campos +1
The Verhulst model is probably the best known macroscopic rate equation in population ecology. It depends on two parameters, the intrinsic growth rate and the carrying capacity. Th…
Genetic Toggle Switch in the Absence of Cooperative Binding: Exact Results
Tommaso Biancalani, Michael Assaf
We present an analytical treatment of a genetic switch model consisting of two mutually inhibiting genes operating without cooperative binding of the corresponding transcription fa…
Colonization of a territory by a stochastic population under a strong Allee effect and a low immigration pressure
Shay Be'er, Michael Assaf, Baruch Meerson
We study the dynamics of colonization of a territory by a stochastic population at low immigration pressure. We assume a sufficiently strong Allee effect that introduces, in determ…