“…In addition, in order to differentiate mRNA expressions from protein expressions, we define two state variables X i and Y i to represent the 3-D spatio-temporal mRNA profiles of the i th target gene and its corresponding TFs, respectively. According to the transcription regulation model proposed in previous studies,6,33,36,40 the stochastic 3-DEST model for the i th target gene and their upstream regulatory TFs in the gene/protein interaction network of Drosophila development is proposed as follows:
…”