Power-Engine-Load Form for Dynamic Absolute Concentration Robustness

IF 1.9 4区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Applied Mathematics Pub Date : 2023-11-20 DOI:10.1137/22m1535450

Badal Joshi, Gheorghe Craciun

引用次数: 0

Abstract

SIAM Journal on Applied Mathematics, Volume 83, Issue 6, Page 2237-2259, December 2023.
Abstract. In a reaction network, the concentration of a species with the property of dynamic absolute concentration robustness (dynamic ACR) converges to the same value independent of the overall initial values. This property endows a biochemical network with output robustness and therefore is essential for its functioning in a highly variable environment. It is important to identify the structure of the dynamical system as well as the constraints required for dynamic ACR. We propose a power-engine-load form of dynamic ACR and obtain results regarding convergence to the ACR value based on this form.

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动力-发动机负载形式的动态绝对集中稳健性

SIAM应用数学学报，83卷，第6期，2237-2259页，2023年12月。摘要。在反应网络中，具有动态绝对浓度鲁棒性(dynamic绝对浓度鲁棒性，动态ACR)的物种的浓度收敛到与整体初始值无关的同一值。这一特性赋予生化网络输出鲁棒性，因此对其在高度可变的环境中发挥作用至关重要。确定动力系统的结构以及动态ACR所需的约束条件是很重要的。提出了一种动力-发动机-负荷形式的动态ACR，并在此基础上得到了ACR值收敛性的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Journal on Applied Mathematics 数学-应用数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： SIAM Journal on Applied Mathematics (SIAP) is an interdisciplinary journal containing research articles that treat scientific problems using methods that are of mathematical interest. Appropriate subject areas include the physical, engineering, financial, and life sciences. Examples are problems in fluid mechanics, including reaction-diffusion problems, sedimentation, combustion, and transport theory; solid mechanics; elasticity; electromagnetic theory and optics; materials science; mathematical biology, including population dynamics, biomechanics, and physiology; linear and nonlinear wave propagation, including scattering theory and wave propagation in random media; inverse problems; nonlinear dynamics; and stochastic processes, including queueing theory. Mathematical techniques of interest include asymptotic methods, bifurcation theory, dynamical systems theory, complex network theory, computational methods, and probabilistic and statistical methods.