Turing instability in reaction-diffusion systems with a single diffuser: Characterization based on root locus

Hiroki Miyazako, Yutaka Hori, Shinji Hara

研究成果: Conference contribution

7 被引用数 (Scopus)

抄録

Cooperative behaviors arising from bacterial cellto- cell communication can be modeled by reaction-diffusion equations having only a single diffusible component. This paper presents the following three contributions for the systematic analysis of Turing instability in such reaction-diffusion systems. (i) We first introduce a unified framework to formulate the reaction-diffusion system as an interconnected multiagent dynamical system. (ii) Then, we mathematically classify biologically plausible and implausible Turing instabilities and characterize them by the root locus of each agent's dynamics, or the local reaction dynamics. (iii) Using this characterization, we derive analytic conditions for biologically plausible Turing instability, which provide useful guidance for the design and the analysis of biological networks. These results are demonstrated on an extended Gray-Scott model with a single diffuser.

本文言語English
ホスト出版物のタイトル2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
出版社Institute of Electrical and Electronics Engineers Inc.
ページ2671-2676
ページ数6
ISBN(印刷版)9781467357173
DOI
出版ステータスPublished - 2013
外部発表はい
イベント52nd IEEE Conference on Decision and Control, CDC 2013 - Florence, Italy
継続期間: 2013 12 102013 12 13

出版物シリーズ

名前Proceedings of the IEEE Conference on Decision and Control
ISSN(印刷版)0191-2216

Other

Other52nd IEEE Conference on Decision and Control, CDC 2013
CountryItaly
CityFlorence
Period13/12/1013/12/13

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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