Difference between revisions of "Team:Heidelberg/Modelling/aptakinetics"
Line 27: | Line 27: | ||
<tr> | <tr> | ||
<td rowspan="3">$P$</td> | <td rowspan="3">$P$</td> | ||
− | <td>Basic model | + | <td>Basic model<br/>Variants 1 to 4, 4c</td> |
<td>\[ | <td>\[ | ||
\frac{d[P]}{dt}=-k_{on}[T][P]+k_{off}[T_{act}]-k_{deg,P}[P] | \frac{d[P]}{dt}=-k_{on}[T][P]+k_{off}[T_{act}]-k_{deg,P}[P] | ||
Line 49: | Line 49: | ||
<tr> | <tr> | ||
<td rowspan="2">$T$</td> | <td rowspan="2">$T$</td> | ||
− | <td>Basic model | + | <td>Basic model<br/>Variants 1 to 4, 4b, 4c</td> |
<td>\[ | <td>\[ | ||
\frac{d[T]}{dt}=-k_{on}[T][P]+k_{off}[T_{act}] | \frac{d[T]}{dt}=-k_{on}[T][P]+k_{off}[T_{act}] | ||
Line 59: | Line 59: | ||
<td>\[ | <td>\[ | ||
[T]=[T_{tot}]-[T_{act}] | [T]=[T_{tot}]-[T_{act}] | ||
+ | \] | ||
+ | </td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td rowspan="2">$T_{act}$</td> | ||
+ | <td>Basic model<br/>Variants 1 to 4, 4b, 4c</td> | ||
+ | <td>\[ | ||
+ | \frac{d[T_{act}]}{dt}=k_{on}[T][P]-k_{off}[T_{act}] | ||
+ | \] | ||
+ | </td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>Variant 4a</td> | ||
+ | <td>\[ | ||
+ | [T_{act}]=\frac{[T_{tot}][P]}{K_{d,P}} | ||
+ | \] | ||
+ | </td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td rowspan="3">$A$</td> | ||
+ | <td>Basic model<br/>Variants 2 to 4, 4a, 4b</td> | ||
+ | <td>\[ | ||
+ | \frac{d[A]}{dt}=-k_{syn}[A][T_{act}]-k_{deg,A}[A] | ||
+ | \] | ||
+ | </td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>Variant 1</td> | ||
+ | <td>\[ | ||
+ | \frac{d[A]}{dt}=-k_{syn}\frac{[A][T_{act}]}{K_{m,T}+[T_{act}]}-k_{deg,A}[A] | ||
+ | \] | ||
+ | </td> | ||
+ | </tr> | ||
+ | <tr> | ||
+ | <td>Variant 4c</td> | ||
+ | <td>\[ | ||
+ | \frac{d[A]}{dt}=-k_{syn}[A][T_{act}] | ||
\] | \] | ||
</td> | </td> |
Revision as of 20:09, 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 | \[ \frac{d[A]}{dt}=-k_{syn}[A][T_{act}] \] |