“…The first terms in these are the production rates of mRNA, controller mRNA, and protein with maximum rate v mj , v cj , v pj respectively. Here PF m and PF p define the effects of resource competition in transcription and translational processes as in our previous works [12,26,27],
R mj and R cj are the fractions of active promoters for the mRNA and controller mRNA respec-tively. While R mj is a constant,
as the controller mRNA is regulated by protein, where n is the Hill coefficient and K cj represents the protein binding affinity.…”