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arXiv 2202.11218q-bio.MNmath.DSphysics.bio-ph
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生物系统中的稳态机制

Homeostatic Mechanisms in Biological Systems

Pedro P. A. Cardoso de Andrade, João L. O. Madeira, Fernando Antoneli

摘要:

在本文中,我们研究了两个生物动机模型的稳态机制:细胞内铜调节和自身免疫识别。分析是基于无穷小稳态和近乎完美的稳态的概念。我们介绍了一个理论背景,使人们有可能考虑点的无穷小稳态,位于域的定义的输入输出函数的边界。我们表明,这两种模式显示近乎完美的稳态。此外,我们表明,与[M. Reed,J. Best,M.戈卢比茨基岛Stewart和H. F.尼豪特生化网络中的稳态机制分析。布尔数学生物学,79(11):2534-2557,2017],在它们两者中发生无穷小稳态的阻碍是由迫使无穷小稳态的点位于相应输入-输出函数的定义域的边界处的建模假设引起的。

英文摘要:

In this paper we investigate the homeostatic mechanism in two biologically motivated models: intracellular copper regulation and self immune recognition. The analysis is based on the notions of infinitesimal homeostasis and near-perfect homeostasis. We introduce a theoretical background that makes it possible to consider points of infinitesimal homeostasis that lie at the boundary of the domain of definition of the input-output function. We show that the two models display near-perfect homeostasis. Moreover, we show that, unlike the examples of [M. Reed, J. Best, M. Golubitsky, I. Stewart, and H. F. Nijhout. Analysis of homeostatic mechanisms in biochemical networks. Bull. Math. Biol., 79(11):2534-2557, 2017], the obstruction of occurrence of infinitesimal homeostasis in both of them is caused by the modeling assumptions that force the point of infinitesimal homeostasis to lie at the boundary of domain of definition of the respective input-output functions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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