Difference between revisions of "Team:Heidelberg/Modelling/aptakinetics"
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<td>Basic model<br/>Variants 1 to 4, 4c</td> | <td>Basic model<br/>Variants 1 to 4, 4c</td> | ||
<td>\[ | <td>\[ |
Revision as of 20:16, 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 |
\[ \frac{d[T]}{dt}=-k_{on}[T][P]+k_{off}[T_{act}] \] |
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 | \[ \frac{d[A]}{dt}=-k_{syn}[A][T_{act}] \] | |
$M$ | 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 | \[ \frac{d[M]}{dt}=\frac{k_{syn}}{n_{A,0}\frac{[A]}{[T_{act}]^{l}}}[A][T_{act}]=\frac{k_{syn}}{n_{A,0}}[T_{act}]^{1+j} \] |