Spatial effects of delay-induced stochastic oscillations in a multi-scale cellular system

Abstract

The combined spatial effect of time delay and intrinsic noise on gene regulation is studied numerically. It is based on the multi-scale chemo-mechanical model of the epithelium. The protein fluctuations in each cell are described by a single-gene auto-repressor model with constant delay. It is found that time delay, noise and spatial signaling can result in the protein pattern formation even when deterministic description exhibits no patterns.