Power-engine-load form for dynamic absolute concentration robustness

TL;DR

This paper introduces a power-engine-load form to analyze dynamic absolute concentration robustness in reaction networks, providing new insights into conditions for convergence and robustness in biochemical systems.

Contribution

It proposes a novel power-engine-load framework for understanding dynamic ACR and derives convergence results based on this form.

Findings

Introduces power-engine-load form for dynamic ACR analysis

Provides conditions for convergence to ACR value

Enhances understanding of robustness in biochemical networks

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 structure of the dynamical system as well as 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.