Logistic functions replace Hill functions in gene regulatory network ODE models to ensure global smoothness, real-valued trajectories, positive basal production, and stable numerical integration across small and large networks.
The topology of the regulatory interactions predicts the expression pattern of the segment polarity genes in drosophila melanogaster
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Logistic Gene Regulatory Networks: Prevention of Expression Shutdown, and Numerical Stability Beyond Hill Function
Logistic functions replace Hill functions in gene regulatory network ODE models to ensure global smoothness, real-valued trajectories, positive basal production, and stable numerical integration across small and large networks.