Parameter estimation and stability analysis of gene-regulation network of bacteriophage

Abstract

This essay considers an ordinary differential equation on the phage λ regulatory network model, which has one and only one steady internal equilibrium by simplifying the calculation. Meanwhile, we use Ensemble Kalman Filter (EnKF) approach to compute the ratio of chemical reaction rate constant in the phage gene regulation network and combine the regulatory mechanism of the network to infer the amount of protein or DNA to avoid the high cost of protein-DNA detection. By changing the size of the initial ensemble of parameters, we get estimates with different precision. Numerical results clarify that the Ensemble Kalman Filter have an effect on parameter estimation of the phage regulatory network compared with the least square method. It perhaps is a relatively effective method to calculate unknown parameters in the biochemical network model by parameter estimation to lower the cost of biological experiments.