Operon dynamics with state dependent transcription and/or translation delays
Operon dynamics with state dependent transcription and/or translation delays
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DOI：
10.1007/s00285-021-01693-0
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发表时间：
2021-06
影响因子：
1.9
通讯作者：
Tomáš Gedeon;A. R. Humphries;M. Mackey;H. Walther;Zhao Wang
中科院分区：
文献类型：
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作者：
Tomáš Gedeon;A. R. Humphries;M. Mackey;H. Walther;Zhao Wang
转录和翻译在细胞中检索和操作基因编码的信息。这些进程不是即时的，会造成重大延误。本文研究了具有状态依赖时滞的可诱导操纵子和可抑制操纵子的Goodwin模型。本文提供的理由和推导模型，相应的动力系统的适当设置的详细分析，并广泛的数值分析其动态。与常时滞模型的比较表明，显着的差异，包括在诱导系统和抑制系统的多稳定性的稳定周期轨道的存在的动力学。结合参数空间探索，数值计算，稳态线性化分析和分岔理论表明，Shilnikov型同宿分岔的抑制操纵子模型的可能存在。
Transcription and translation retrieve and operationalize gene encoded information in cells. These processes are not instantaneous and incur significant delays. In this paper we study Goodwin models of both inducible and repressible operons with state-dependent delays. The paper provides justification and derivation of the model, detailed analysis of the appropriate setting of the corresponding dynamical system, and extensive numerical analysis of its dynamics. Comparison with constant delay models shows significant differences in dynamics that include existence of stable periodic orbits in inducible systems and multistability in repressible systems. A combination of parameter space exploration, numerics, analysis of steady state linearization and bifurcation theory indicates the likely presence of Shilnikov-type homoclinic bifurcations in the repressible operon model.