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This brief examines a deterministic, ODE-based model for gene regulatory networks (GRN) that incorporates nonlinearities and time-delayed feedback. One chapter is devoted to the analysis of GRNs under negative feedback with time delays and a special case of a homogenous GRN is considered.
Preface.- Introduction.- Basic Tools from Systems and Control Theory.- Functions with Negative Schwarzian Derivatives.- Deterministic ODE-Based Model with Time Delay.- Gene Regulatory Networks under Negative Feedback.- Gene Regulatory Networks under Positive Feedback.- Summary and Concluding Remarks.- References.