Regensburg 2016 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Statistical Physics in Biological Systems III (joint DY/BP)

DY 43.1: Talk

Wednesday, March 9, 2016, 15:30–15:45, H46

Bursting noise in gene regulation networks: exact and numerical results for stationary distributions and first passage times — •Yen Ting Lin¹, Charles Doering², and Tobias Galla¹ — ¹The University of Manchester, Manchester, UK — ²University of Michigan, Ann Arbor, USA

Understanding how effects of noise propagate from one level of modelling to another is key in a number of applications in physiological or biological systems. Including short-lived mRNA populations in models of gene regulation networks introduces bursting noise, and understanding the effects of this in higher-level models is an open task. In this talk, I will present a coarse-graining method to construct mesoscopic models for such type of dynamical systems, which fully accounts for the bursting noise. We systematically compare different levels of modeling, ranging from individual-molecule-based models including mRNA populations, over protein-only individual-based models to mesoscopic models such as diffusion-type models and our proposed model. We show that the proposed mesoscopic model outperforms conventional diffusion-type models. In a one-dimensional autoregulated network, we present closed-form analytic solutions for both the stationary distribution of protein expression as well as first-passage times of the dynamical system. We present numerical solutions for higher-dimensional gene regulation networks, in which case we also carry out analysis in the weak-noise limit. References: arXiv:1508.02945, arXiv:1508.00608 (J. R. Soc. Interface in press)