Delay Discrete Dynamical Models for Genetic Regulatory Networks

Abstract

In this paper, we study the problem of constructing a regulatory network of yeast in oxidative stress process. Discrete Dynamic System (DDS) model has been introduced in describing Gene Regulatory Networks (GRNs). However, delay effect was not taken into consideration within the model. A Time-delay DDS model composed of linear difference equations is developed to represent temporal interactions among significantly expressed genes. Interpolation and re-sampling are imposed to equalize the non-uniformity of sampling time points. Statistical significance plays an active role in obtaining the optimal interaction matrix of GRNs. The constructed gene network using linear multiple regression has a very good match with the original data. Simulation results are given to demonstrate the effectiveness of our proposed model.