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Team:USP-UNESP-Brazil/Marcelo
From 2012.igem.org
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\color{blue} m + \color{red}s &\mathop{\rightleftharpoons}_{k_{-1,s}}^{k_{1,s}} c_{ms} \mathop{\rightarrow}^{k_{2,s}} (1 - p_s) \color{red} s \\ | \color{blue} m + \color{red}s &\mathop{\rightleftharpoons}_{k_{-1,s}}^{k_{1,s}} c_{ms} \mathop{\rightarrow}^{k_{2,s}} (1 - p_s) \color{red} s \\ | ||
\color{red} s + \color{green} r &\mathop{\rightleftharpoons}_{k_{-1,r}}^{k_{1,r}} c_{sr} \mathop{\rightarrow}^{k_{2,r}} (1-p_r) \color{green} r \\ | \color{red} s + \color{green} r &\mathop{\rightleftharpoons}_{k_{-1,r}}^{k_{1,r}} c_{sr} \mathop{\rightarrow}^{k_{2,r}} (1-p_r) \color{green} r \\ | ||
| - | + | \mathop{\rightleftharpoons}_{k_{-1,r}}^{k_{1,r}} c_{sr}\\ | |
| - | \ | + | {k_{-1,r}}^{k_{1,r}} c_{sr}\\ |
| - | + | {go}_{go} \quad \beta r \alpha sil | |
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\end{align} | \end{align} | ||
Revision as of 12:39, 25 September 2012
Simplification and construction of ODEs
The general reaction scheme is
\begin{align} \color{blue} m + \color{red}s &\mathop{\rightleftharpoons}_{k_{-1,s}}^{k_{1,s}} c_{ms} \mathop{\rightarrow}^{k_{2,s}} (1 - p_s) \color{red} s \\ \color{red} s + \color{green} r &\mathop{\rightleftharpoons}_{k_{-1,r}}^{k_{1,r}} c_{sr} \mathop{\rightarrow}^{k_{2,r}} (1-p_r) \color{green} r \\ \mathop{\rightleftharpoons}_{k_{-1,r}}^{k_{1,r}} c_{sr}\\ {k_{-1,r}}^{k_{1,r}} c_{sr}\\ {go}_{go} \quad \beta r \alpha sil \end{align}
