Coordinated Spatial Pattern Formation in Biomolecular Communication Networks

Yutaka Hori; Hiroki Miyazako; Soichiro Kumagai; Shinji Hara

doi:10.1109/tmbmc.2015.2500567

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arXiv · 1504.06045

Coordinated Spatial Pattern Formation in Biomolecular Communication Networks

Yutaka Hori·Hiroki Miyazako·Soichiro Kumagai·Shinji Hara

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Abstract

This paper proposes a control theoretic framework to model and analyze the self-organized pattern formation of molecular concentrations in biomolecular communication networks, emerging applications in synthetic biology. In biomolecular communication networks, bionanomachines, or biological cells, communicate with each other using a cell-to-cell communication mechanism mediated by a diffusible signaling molecule, thereby the dynamics of molecular concentrations are approximately modeled as a reaction-diffusion system with a single diffuser. We first introduce a feedback model representation of the reaction-diffusion system and provide a systematic local stability/instability analysis tool using the root locus of the feedback system. The instability analysis then allows us to analytically derive the conditions for the self-organized spatial pattern formation, or Turing pattern formation, of the bionanomachines. We propose a novel synthetic biocircuit motif called activator-repressor-diffuser system and show that it is one of the minimum biomolecular circuits that admit self-organized patterns over cell population.

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Yutaka Hori, Hiroki Miyazako, Soichiro Kumagai, Shinji Hara. 2015-04-23. Coordinated Spatial Pattern Formation in Biomolecular Communication Networks. https://doi.org/10.1109/tmbmc.2015.2500567

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