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dynamical Criticality:Overview and Open Questions

Journal of Systems Science & Complexity 2018年第3期31卷 647-663页

作者： ROLI Andrea VILLANI Marco FILISETTI Alessandro SERRA Roberto Department of Computer Science and Engineering (DISI) Campus of Cesena University of Bologna Italy Department of Physics Informatics and Mathematics University of Modena and Reggio Emilia Italy European Centre for Living Technology Venezia Italy Explora s.r.l. Roma Italy & European Centre for Living Technology Venezia Italy

Systems that exhibit complex behaviours are often found in a particular dynamical con- dition, poised between order and disorder. This observation is at the core of the so-called criticality hypothesis, which states that systems in a dynamical regime between order and disorder attain the highest level of computational capabilities and achieve an optimal trade-off between robustness and flexibility. Recent results in cellular and evolutionary biology, ueuroscience and computer science have revitalised the interest in the criticality hypothesis, emphasising its role as a viable candidate general law in adaptive complex systems. This paper provides an overview of the works on dynamical criticality that are -- To the best of our knowledge -- Particularly relevant for the criticality hypothesis. The authors review the main contributions concerning dynamics and information processing at the edge of chaos, and illustrate the main achievements in the study of critical dynamics in biological systems. Finally, the authors discuss open questions and propose an agenda for future work.

关键词： Attractors criticality dynamical regimes edge of chaos phase transitions.

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Dynamics of the Mixed Feedback Loop Integrated with MicroRNA

Dynamics of the Mixed Feedback Loop Integrated with MicroRNA

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第二届最优化与系统生物学国际研讨会

作者： Ge Wang Jin Zhou Shanghai Institute of Applied Mathematics and Mechanics Shanghai University

The so-called mixed feedback loop （MFL） with microRNA is a small two-gene network where microRNA regulates the translation of mRNA by base pairing with the mRNA. It has been developed to show that the MFL is a representative motif of genetic regulation networks. The present paper is mainly concerned with the issues of dynamics for the mixed feedback loop （MFL） integrated with microRNA. A simple mathematical model of the motif is proposed based on the biochemical interactions. It is shown that, by itself, this motif can serve both as a monostable and a bistable switch depending on a kinetic parameter range. The results emphasize the role of microRNA in the function of genetic modules and the regulation of itself.

关键词： mixed feedback loop (MFL) microRNA dynamical regimes

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