Synthesis method of gene regulatory networks having desired expression-pattern transition sequences

Recently, synthesis of gene regulatory networks having desired behaviors has become of interest to many researchers and several studies have been done. We proposed a synthesis method of gene regulatory networks, in which desired behaviors are given by expression pattern sequences. Expression pattern sequences describe approximate behavior of gene regulatory networks. There are information being not used for synthesis. In this paper, we propose a synthesis method of gene regulatory networks, in which desired behaviors are given by expression pattern sequences and transition times of the expression pattern. We formulate the synthesis problem as an optimization problem. We solve the optimization problem by using solutions of difference equations corresponding to expression pattern sequences without solving differential equations of gene regulatory network models. Therefore, we can solve the synthesis problem efficiently.