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\frac{d[PDC]}{dt}=RBS\times{PoPST7effect}\times\frac{N}{V}-{kdegPDC}\times[PDC}]
\frac{d[ADH]}{dt}=RBS\times{PoPST7effect}\times\frac{N}{V}-{KdegADH}\times[ADH]}
In these two equations, the production rate of PDC and ADH is composed of both synthesizing rate and degrading rate. RBS represents ribosome binding site strength, which is the affinity of ribosome to the starting site of mRNA; PoPST7 represents the promoter strength of T7 promoter.
For the section of the equation, RBS ×PoPS"T7effect ×N/V" represents the synthesizing rate of PDC and ADH under the influence of T7promoter; "- KdegPDC ×[PDC]" and" - KdegADH ×[ADH]" represents the natural degrading rate of PDC and ADH.
