Singular perturbation analysis and gene regulatory networks with delay

DOI10.1016/j.na.2010.01.016zbMath1202.34136OpenAlexW2023727229MaRDI QIDQ960903

Irina Shlykova, Arcady Ponosov

Publication date: 29 March 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.01.016

zbMATH Keywords

delay equationssingular perturbation analysisgene regulation

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Genetics and epigenetics (92D10) Singular perturbations of functional-differential equations (34K26)

Related Items (2)

Classification of Hidden Dynamics in Discontinuous Dynamical Systems ⋮ Functional differential inclusions generated by functional differential equations with discontinuities

Cites Work

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• A methodological basis for description and analysis of systems with complex switch-like interactions
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• Analysis and generic properties of gene regulatory networks with graded response functions
• One approach to study of stability of integro-differential equations.
• Global analysis of steady points for systems of differential equations with sigmoid interactions
• Singularly perturbed ordinary differential equations with dynamic limits

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