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We explore the joint effect of the intrinsic noise and time delay on thespatial pattern formation within a multi-scale mobile lattice model of theepithelium. The protein fluctuations are driven by transcription/translationprocesses in epithelial cells exchanging chemical and mechanical signals andare described by a single-gene auto-repressor model with constant delay. Bothdeterministic and stochastic descriptions are given. We found that time delay,noise and spatial signaling can result in the protein pattern formation evenwhen deterministic description exhibits no patterns.

Spatial Effects of Delay-induced Stochastic Oscillations in a Multi-Cellular System