Abstract
This chapter is devoted to the derivation of the ODE-based model with time delay that is to be analyzed in the forthcoming chapters. In particular, an equivalent simplified mathematical model of the GRN model is proposed through some interpretations of the interconnection scheme. Next, the stability conditions for the linearized system around an equilibrium point are discussed. Finally, a specific example (the repressilator) is given to illustrate the motivation behind the model considered.
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Ahsen, M.E., Özbay, H., Niculescu, SI. (2015). Deterministic ODE-Based Model with Time Delay. In: Analysis of Deterministic Cyclic Gene Regulatory Network Models with Delays. SpringerBriefs in Electrical and Computer Engineering(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-15606-4_4
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DOI: https://doi.org/10.1007/978-3-319-15606-4_4
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