Team:USP-UNESP-Brazil/Marcelo

From 2012.igem.org

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}