943 citations · 1.3k across the 10 of their papers we have counts for
10 papers
Lecture notes on stochastic models in systems biology
Peter S Swain
These notes provide a short, focused introduction to modelling stochastic gene expression, including a derivation of the master equation, the recovery of deterministic dynamics, bi…
Analytical distributions for stochastic gene expression
Vahid Shahrezaei, Peter S. Swain
Gene expression is significantly stochastic making modeling of genetic networks challenging. We present an approximation that allows the calculation of not only the mean and varian…
Colored extrinsic fluctuations and stochastic gene expression
Vahid Shahrezaei, Julien F Ollivier, Peter S Swain
Stochasticity is both exploited and controlled by cells. Although the intrinsic stochasticity inherent in biochemistry is relatively well understood, cellular variation, or 'noise'…
Corrugation-Induced First-Order Wetting: An Effective Hamiltonian Study
P. S. Swain, A. O. Parry
We consider an effective Hamiltonian description of critical wetting transitions in systems with short-range forces at a corrugated (periodic) wall. We are able to recover the resu…
Coupled Hamiltonians and Three Dimensional Short-Range Wetting Transitions
A. O. Parry, P. S. Swain
We address three problems faced by effective interfacial Hamiltonian models of wetting based on a single collective coordinate \ell representing the position of the unbinding fluid…
An exact solution for two dimensional wetting with a corrugated wall
P. S. Swain, A. O. Parry
An exact solution of a two dimensional RSOS model of wetting at a corrugated (periodic) wall is found using transfer matrix techniques. In contrast to mean-field analysis of the sa…