Team:Heidelberg/Modelling/aptakinetics

iGEM Team Heidelberg 2015

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Model species	Variant	Equation
$P$	Basic model Variants 1 to 4, 4c	\[ \frac{d[P]}{dt}=-k_{on}[T][P]+k_{off}[T_{act}]-k_{deg,P}[P] \]
	Variant 4a	\[ [P](t)=[P](t_{0})\exp\left(-k_{deg,P}t\right) \]
	Variant 4b	\[ \frac{d[P]}{dt}=-k_{on}[T][P]+k_{off}[T_{act}] \]
$T$	Basic model Variants 1 to 4, 4b, 4c	\[ \frac{d[T]}{dt}=-k_{on}[T][P]+k_{off}[T_{act}] \]
	Variant 4a	\[ [T]=[T_{tot}]-[T_{act}] \]
$T_{act}$	Basic model Variants 1 to 4, 4b, 4c	\[ \frac{d[T_{act}]}{dt}=k_{on}[T][P]-k_{off}[T_{act}] \]
	Variant 4a	\[ [T_{act}]=\frac{[T_{tot}][P]}{K_{d,P}} \]
$A$	Basic model Variants 2 to 4, 4a, 4b	\[ \frac{d[A]}{dt}=-k_{syn}[A][T_{act}]-k_{deg,A}[A] \]
	Variant 1	\[ \frac{d[A]}{dt}=-k_{syn}\frac{[A][T_{act}]}{K_{m,T}+[T_{act}]}-k_{deg,A}[A] \]
	Variant 4c	\[ \frac{d[A]}{dt}=-k_{syn}[A][T_{act}] \]