Integral regulation mechanism in phosphorylation cycles

Fang, Zhou; Jayawardhana, Bayu; Schaft, A.J. van der; Gao, Chuanhou

doi:10.1109/cdc.2017.8264447

Cited by 2 publications

(2 citation statements)

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“…Chemical reaction network theory(CRNT) is established in 1970s [12,16,14,13]. CRNT has made a great contribution to researching different properties of chemical reaction networks, especially the stability and the persistence [1,3,9,19,20,18,11,10]. Persistence originates from the ecosystems to determine will a species become extinct or not.…”

Section: Introductionmentioning

confidence: 99%

Persistence of Delayed Complex Balanced Chemical Reaction Networks

Zhang¹,

Gao²

2019

Preprint

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Time delay is a very common phenomenon in real biological or industrial systems. This paper studies the persistence of complex balanced mass action systems with any constant time delays(DeMAS). We give several sufficient conditions for DeMASs to be persistent based on the dimension of intersection of stoichiometric compatibility class and R n ≥0 . These results are analogous to the theorems which have proven by Anderson in [2] and [4] for the non-delayed mass action system. Besides, persistence implies global asymptotic stability for complex balanced DeMASs which means that all trajectories starting at a positive concentration trend to the unique positive constant equilibrium in its stoichiometric compatibility class. From this paper, we can learn further about the long-term property of the delayed complex balanced system.

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Section: Introductionmentioning

confidence: 99%

Persistence of Delayed Complex Balanced Chemical Reaction Networks

Zhang¹,

Gao²

2019

Preprint

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“…Compared with our previous work in [1], where only allosteric binding processes are considered in assisting phosphorylation cycles, we consider one more adaption mechanism, namely gene-autoregulation in this article, and analyze the combined effects of these mechanisms. We show that systems with these mechanisms are not only well adapted to constant stimuli (shown in [1]), but also to periodic biological rhythms. Moreover, we apply these results to the analysis of Krebs cycle and correspondingly show the robustness of the energy supply rate in a cell system.…”

mentioning

confidence: 99%

Adaptation Mechanisms in Phosphorylation Cycles By Allosteric Binding and Gene Autoregulation

Fang

Jayawardhana

Schaft

et al. 2020

IEEE Trans. Automat. Contr.

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In this article, we study adaptation mechanisms in a class of phosphorylation cycles where allosteric binding and gene autoregulation mechanisms regulate the phosphorylation processes. We show that both mechanisms enable a robust setpoint regulation of the regulator metabolite in the presence of constant, as well as periodic, external stimuli. The allosteric binding mechanism without the presence of gene autoregulation can serve as an integral controller. Furthermore, we show that the incorporation of a gene autoregulation mechanism enables the gene expression system to act as a genetic oscillator, which allows for the adaptation mechanism to periodic external stimuli. These results provide a theoretical explanation to the cell homeostasis under quasi-constant environmental conditions, as well as periodic, biological rhythms.

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Integral regulation mechanism in phosphorylation cycles

Cited by 2 publications

References 20 publications

Persistence of Delayed Complex Balanced Chemical Reaction Networks

Persistence of Delayed Complex Balanced Chemical Reaction Networks

Adaptation Mechanisms in Phosphorylation Cycles By Allosteric Binding and Gene Autoregulation

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