Absolute concentration robustness: Algebra and geometry
Year: 2024
Type: article
Abstract: Motivated by the question of how biological systems maintain homeostasis in changing environments, Shinar and Feinberg introduced in 2010 the concept of absolute concentration robustness (ACR). A biochemical system exhibits ACR in some species if the steady-state value of that species does not depend on initial conditions. Thus, a system with ACR can maintain a constant level of one species even as the initial condition changes. Despite a great deal of interest in ACR in recent years, the following basic question remains open: How can we determine quickly whether a given biochemical system has ACR? Although various approaches to this problem have been proposed, we show that they are incomplete. Accordingly, we present new methods for deciding ACR, which harness computational algebra. We illustrate our results on several biochemical signaling networks.
Source: Journal of Symbolic Computation
Authors: Luis David García Puente, Elizabeth Gross, Heather A. Harrington, Matthew Johnston, Nicolette Meshkat, Mercedes Pérez Millán, Anne Shiu
Language: English
Subfield: Molecular Biology
Domain: Life Sciences
Open Access status: hybrid
Estimated APC paid: $2,880
Funders: National Science Foundation, Simons Foundation, American Institute of Mathematics, Henry Luce Foundation, Royal Society, Consejo Nacional de Investigaciones Científicas y Técnicas, Engineering and Physical Sciences Research Council, Secretaría de Ciencia y Técnica, Universidad de Buenos Aires
Awards: G1042317850, Application driven Topological Data Analysis, G1599034963, Institute for Mathematical and Statistical Innovation, G3707431829, CAREER: Identifiability and Inference for Phylogenetic Networks using Applied Algebraic Geometry, CAREER: Biochemical Reaction Systems: from Structure to Dynamics, G6231580487, G6413567830, G6554225704
OpenAlex ID: W4403925060