简化生化网络与扩展生化网络中的多稳定性问题。

IF 2.2 4区数学 Q2 BIOLOGY

Journal of Mathematical Biology Pub Date : 2024-06-24 DOI:10.1007/s00285-024-02115-7

Alicia Dickenstein, Magalí Giaroli, Mercedes Pérez Millán, Rick Rischter

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引用次数: 0

摘要

我们在具有质量作用动力学的化学反应网络框架内，通过消除或添加中间复合物来解决还原网络与扩展网络中的几个问题。我们澄清并扩展了在此背景下有关多稳定性的文献进展，主要来自 Feliu 和 Wiuf (J R Soc Interface 10:20130484, 2013)、Sadeghimanesh 和 Feliu (Bull Math Biol 81:2428-2462, 2019)、Pérez Millán 和 Dickenstein (SIAM J Appl Dyn Syst 17(2):1650-1682, 2018)、Dickenstein 等人 (Bull Math Biol 81:1527-1581, 2019)。我们建立了关于 MESSI 系统的一般结果，并利用这些结果计算了重要生化网络的多稳态回路。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Multistationarity questions in reduced versus extended biochemical networks.

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Multistationarity questions in reduced versus extended biochemical networks.

We address several questions in reduced versus extended networks via the elimination or addition of intermediate complexes in the framework of chemical reaction networks with mass-action kinetics. We clarify and extend advances in the literature concerning multistationarity in this context, mainly from Feliu and Wiuf (J R Soc Interface 10:20130484, 2013), Sadeghimanesh and Feliu (Bull Math Biol 81:2428-2462, 2019), Pérez Millán and Dickenstein (SIAM J Appl Dyn Syst 17(2):1650-1682, 2018), Dickenstein et al. (Bull Math Biol 81:1527-1581, 2019). We establish general results about MESSI systems, which we use to compute the circuits of multistationarity for significant biochemical networks.

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来源期刊

Journal of Mathematical Biology 生物-生物学

CiteScore

3.30

自引率

5.30%

发文量

120

审稿时长

6 months

期刊介绍： The Journal of Mathematical Biology focuses on mathematical biology - work that uses mathematical approaches to gain biological understanding or explain biological phenomena. Areas of biology covered include, but are not restricted to, cell biology, physiology, development, neurobiology, genetics and population genetics, population biology, ecology, behavioural biology, evolution, epidemiology, immunology, molecular biology, biofluids, DNA and protein structure and function. All mathematical approaches including computational and visualization approaches are appropriate.