Semidefinite programming for Turing instability analysis in molecular communication networks

Yutaka Hori, Hiroki Miyazako

研究成果: Conference contribution

抜粋

This paper proposes a computationally tractable algebraic condition for Turing instability, a type of local instability inducing self-organized spatial pattern formation, in molecular communication networks. The molecular communication networks consist of spatially distributed homogeneous compartments, or biological cells, that interact with neighbor compartments using a small number of diffusible chemical species. Thus, the underlying spatio-temporal dynamics of the system can be modeled by reaction-diffusion equations whose diffusion terms are zero for some chemical species. We show that the molecular communication networks are not Turing unstable if and only if certain polynomials are non-negative. This leads to sum-of-squares optimizations for Turing instability analysis. The proposed approach is capable of predicting the formation of spatial patterns in molecular communication networks based on the mathematically rigorous analysis of Turing instability.

元の言語English
ホスト出版物のタイトル2019 IEEE 58th Conference on Decision and Control, CDC 2019
出版者Institute of Electrical and Electronics Engineers Inc.
ページ1874-1880
ページ数7
ISBN(電子版)9781728113982
DOI
出版物ステータスPublished - 2019 12
イベント58th IEEE Conference on Decision and Control, CDC 2019 - Nice, France
継続期間: 2019 12 112019 12 13

出版物シリーズ

名前Proceedings of the IEEE Conference on Decision and Control
2019-December
ISSN(印刷物)0743-1546

Conference

Conference58th IEEE Conference on Decision and Control, CDC 2019
France
Nice
期間19/12/1119/12/13

ASJC Scopus subject areas

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

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  • これを引用

    Hori, Y., & Miyazako, H. (2019). Semidefinite programming for Turing instability analysis in molecular communication networks. : 2019 IEEE 58th Conference on Decision and Control, CDC 2019 (pp. 1874-1880). [9029976] (Proceedings of the IEEE Conference on Decision and Control; 巻数 2019-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC40024.2019.9029976