Philipp Thomas

TL;DR: It is shown that intrinsic noise can induce multimodality in a wide class of regulatory networks whose corresponding deterministic description lacks multistability, thus offering a plausible alternative mechanism for phenotypic switching without the need for ultrasensitivity or highly cooperative interactions.

TL;DR: A new general method is derived and shown to correctly describe the statistics of intrinsic noise about the macroscopic concentrations under timescale separation conditions, which is expected to be of widespread utility in studying the dynamics of large noisy reaction networks.

TL;DR: The system-size expansion is used to show that chemical Fokker-Planck estimates of the mean concentrations and of the variance of the concentration fluctuations about the mean are accurate to order Ω(-3∕2) for reaction systems which do not obey detailed balance and at least accurate for systems obeying detailed balance.

TL;DR: In this paper, it was shown that the chemical Fokker-planck equation is more accurate than the linear-noise approximation of the chemical Langevin equation, which leads to mean concentration estimates accurate to order Ω(-1∕2) and variance estimates accurate for reaction systems which do not obey detailed balance, where Ω is the characteristic size of the system.

TL;DR: In this paper, moment-closure approximation (MA) and system size expansion (SSE) are used to approximate the statistical moments of stochastic processes and tend to be more precise than macroscopic descriptions.