Difference between revisions of "Team:Dundee/Modeling"
Fmacfarlane (Talk | contribs) |
Fmacfarlane (Talk | contribs) |
||
| Line 20: | Line 20: | ||
$$ \frac{dP}{dt} = \alpha \cdot m - \beta \cdot P $$ | $$ \frac{dP}{dt} = \alpha \cdot m - \beta \cdot P $$ | ||
| + | $$ \begin{eqnarray} | ||
| + | \frac{dHp}{dt}&=&K_{d}[Hp \cdot \alpha_{H}] - K_{a} Hp \alpha_{H}\\ | ||
| + | \frac{d \alpha_{H}}{dt}&=&K_{d}[Hp \cdot \alpha_{H}] - K_{a} Hp \alpha_{H} \\ | ||
| + | \frac{d[Hp \cdot \alpha_{H}]}{dt}&=& K_{a} Hp \alpha_{H} - K_{d}[Hp \cdot \alpha_{H}] - K_{i}[Hp \cdot \alpha_{H}]\\ | ||
| + | \frac{d[Hp \cdot \alpha_{H} \cdot \beta_{H}]}{dt}&=&K_{i}[Hp \cdot \alpha_{H}] | ||
| + | \end{eqnarray} $$ | ||
<br><br><br><br> | <br><br><br><br> | ||
</div> | </div> | ||
Revision as of 13:33, 10 July 2015
Modeling
The modeling part. Example:
$$ \frac{dm}{dt} = k_T - k_D \cdot m $$ $$ \frac{dP}{dt} = \alpha \cdot m - \beta \cdot P $$ $$ \begin{eqnarray} \frac{dHp}{dt}&=&K_{d}[Hp \cdot \alpha_{H}] - K_{a} Hp \alpha_{H}\\ \frac{d \alpha_{H}}{dt}&=&K_{d}[Hp \cdot \alpha_{H}] - K_{a} Hp \alpha_{H} \\ \frac{d[Hp \cdot \alpha_{H}]}{dt}&=& K_{a} Hp \alpha_{H} - K_{d}[Hp \cdot \alpha_{H}] - K_{i}[Hp \cdot \alpha_{H}]\\ \frac{d[Hp \cdot \alpha_{H} \cdot \beta_{H}]}{dt}&=&K_{i}[Hp \cdot \alpha_{H}] \end{eqnarray} $$
The modeling part. Example:
$$ \frac{dm}{dt} = k_T - k_D \cdot m $$ $$ \frac{dP}{dt} = \alpha \cdot m - \beta \cdot P $$ $$ \begin{eqnarray} \frac{dHp}{dt}&=&K_{d}[Hp \cdot \alpha_{H}] - K_{a} Hp \alpha_{H}\\ \frac{d \alpha_{H}}{dt}&=&K_{d}[Hp \cdot \alpha_{H}] - K_{a} Hp \alpha_{H} \\ \frac{d[Hp \cdot \alpha_{H}]}{dt}&=& K_{a} Hp \alpha_{H} - K_{d}[Hp \cdot \alpha_{H}] - K_{i}[Hp \cdot \alpha_{H}]\\ \frac{d[Hp \cdot \alpha_{H} \cdot \beta_{H}]}{dt}&=&K_{i}[Hp \cdot \alpha_{H}] \end{eqnarray} $$
Under construction