Difference between revisions of "Team:Heidelberg/Modelling/aptakinetics"

Revision as of 20:23, 18 September 2015

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}] $
$T$	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}] $
$T_{act}$	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}] $
$M$	Basic model Variant 2	$ \frac{d[M]}{dt}=\frac{k_{syn}}{n_{A}}[A][T_{act}] $
	Variant 1	$ \frac{d[M]}{dt}=\frac{k_{syn}}{n_{A}}\frac{[A][T_{act}]}{K_{m,T}+[T_{act}]} $
	Variant 3	$ \frac{d[M]}{dt}=\frac{k_{syn}}{n_{A,0}\frac{[A]^{k}}{[T_{act}]^{l}}}[A][T_{act}]=\frac{k_{syn}}{n_{A,0}}[A]^{1-k}[T_{act}]^{1+j} $
	Variants 4, 4a, 4b, 4c	$ \frac{d[M]}{dt}=\frac{k_{syn}}{n_{A,0}\frac{[A]}{[T_{act}]^{l}}}[A][T_{act}]=\frac{k_{syn}}{n_{A,0}}[T_{act}]^{1+j} $

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-     <td rowspan="3" align="center" style="vertical-align: middle;">$P$</td>
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      <td>Basic model<br/>Variants 1 to 4, 4c</td>
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