论文标题
生物系统中的稳态机制
Homeostatic Mechanisms in Biological Systems
论文作者
论文摘要
在本文中，我们研究了两个以生物学动机模型的稳态机制：细胞内铜调节和自免疫识别。该分析基于无限稳态和接近完美的体内平衡的概念。我们引入了理论背景，可以考虑在输入输出函数定义域的边界的无限稳态点。我们表明，这两种模型显示出接近完美的稳态。此外，我们表明，与[M. Reed，J。Best，M。Golubitsky，I。Stewart和H. F. Nijhout。分析生化网络中的稳态机制。公牛。数学。 Biol。，79（11）：2534-2557，2017]，这两种无限稳态发生的障碍是由迫使无限稳态的建模假设引起的，该假设位于相应输入输出功能的定义范围内。
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.
