Work

Stability of biochemical reaction networks with general kinetics and distributed time delays

Year: 2025

Type: article

Abstract: Distributed delays play an important role in biological modeling, and are often inevitable to obtain a sufficiently precise quantitative description of certain important processes. It is known from previous studies that mass-action type complex balanced chemical reaction networks (CRNs) containing distributed delays are stable. In this paper, we consider complex balanced biochemical reaction networks with distributed delays, containing a general class of reaction rates including Michaelis–Menten and Hill-type kinetics. We show that for integrable delay distributions defined on a finite time interval, there exists precisely one equilibrium in each stoichiometric compatibility class. The local stability of the equilibria is shown using a logarithmic Lyapunov–Krasovski functional. The theoretical results are demonstrated through two illustrative examples.

Source: Journal of Mathematical Chemistry

DOI: 10.1007/s10910-025-01756-3

Authors: Gyula Molnár, Mihály A. Vághy, Gábor Szederkényi

Institutions: Pázmány Péter Catholic University, HUN-REN Institute for Computer Science and Control, Hungarian Research Network

Language: English

Topic: Gene Regulatory Network Analysis

Subfield: Molecular Biology

Field: Biochemistry, Genetics and Molecular Biology

Domain: Life Sciences

Open Access status: hybrid

Estimated APC paid: $4,090

Funders: Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, Pázmány Péter Katolikus Egyetem, Nemzeti Kutatási, Fejlesztési és Innovaciós Alap