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<div lang="latex" class="equation">
\frac{d[mRNAPDC]}{dt}=\frac{ [T7]^{nT7} }{ KdT7^{nT7}+[T7]^{nY7} }\times{PoPST7}\times\frac{N}{V}-KdegmRNA\times[mRNAPDC]
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<div lang="latex" class="equation">
\frac{d[mRNAADH]}{dt}=\frac{ [T7]^{nT7} }{ KdT7^{nT7}+[T7]^{nY7} }\times{PoPST7}\times\frac{N}{V}-KdegmRNA\times[mRNAADH]
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In these two equations, the production rate of mRNAPDC and mRNAADH is composed of both synthesizing rate and degrading rate. <html><span lang="latex">\frac{ [T7]^{nT7} }{ KdT7^{nT7}+[T7]^{nY7} }\times{PoPST7｝\times\frac{N}{V}</span></html> represents how T7 polymerase influences promoter T7 on synthesizing mRNAPDC and mRNAADH;<html><span lang="latex">\frac{ [T7]^{nT7} }{ KdT7^{nT7}+[T7]^{nY7} }</span></html> and<html><span lang="latex">\frac{ [T7]^{nT7} }{ KdT7^{nT7}+[T7]^{nY7} }</span></html> represents the natural degrading rate of mRNAPDC and [mRNAADH].


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