### 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 |
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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 11 → 2019 12 13 |

### 出版物シリーズ

名前 | Proceedings of the IEEE Conference on Decision and Control |
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巻 | 2019-December |

ISSN（印刷物） | 0743-1546 |

### Conference

Conference | 58th IEEE Conference on Decision and Control, CDC 2019 |
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国 | France |

市 | Nice |

期間 | 19/12/11 → 19/12/13 |

### ASJC Scopus subject areas

- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization

## フィンガープリント Semidefinite programming for Turing instability analysis in molecular communication networks' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

*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