A qualitative mathematical analysis of a class of nonlinear differential equations: applications in biochemistry

DOI10.1016/j.nonrwa.2006.07.012zbMath1126.34031OpenAlexW2046690725MaRDI QIDQ2371018

Khalid Addi, Daniel Goeleven, Oanh Chau

Publication date: 29 June 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.07.012

zbMATH Keywords

nonlinear differential equationsenzyme kineticsqualitative analysisbiochemical processdynamical models in biochemistryquasi-state models

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Biochemistry, molecular biology (92C40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Parameter estimation of nonlinear models in biochemistry: A comparative study on optimization methods
• Global stability of the attracting set of an enzyme-catalysed reaction system
• Mathematical biology. Vol. 1: An introduction.
• Kinetic analysis of multi enzyme systems: A case study of the closed system of creatine kinase, hexokinase and glucose 6-phosphate dehydrogenase
• Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system.
• Quasi-steady state assumptions for non-isolated enzyme-catalysed reactions
• Stability and dissipativity theory for nonnegative dynamical systems: a unified analysis framework for biological and physiological systems
• Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction
• Qualitative Theory of Compartmental Systems