On the analysis of a dynamical model representing gene regulatory networks under negative feedback

DOI10.1002/rnc.2947zbMath1417.92039OpenAlexW2105291987MaRDI QIDQ2925101

M. Eren Ahsen, Özbay, Hitay, Silviu Iulian Niculescu

Publication date: 20 October 2014

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11693/12908

zbMATH Keywords

time delayglobal stabilitynegative feedbackSchwarzian derivativesgene regulatory networks (GRNs)nonlinearity Hill function

Mathematics Subject Classification ID

Feedback control (93B52) Nonlinear systems in control theory (93C10) Biochemistry, molecular biology (92C40) Control/observation systems governed by ordinary differential equations (93C15) Systems biology, networks (92C42)

Related Items (1)

Stability and Robustness Analysis of a Class of Cyclic Biological Systems

Cites Work

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• Modeling gene regulatory networks with piecewise linear differential equations
• A generalized model of the repressilator
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• Models of transcription factor binding: sensitivity of activation functions to model assumptions
• The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
• Multi-stability in monotone input/output systems
• Stability of genetic regulatory networks with time delay

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