Tag: reaction
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Reaction rate inference
Consider the toy example set of reactions\begin{align*}S_0 &\xrightarrow{k_1} S_1 + S_2\\S_2 &\xrightarrow{k_2}S_3 + S_4\\S_1 + S_3 &\xrightarrow{k_3} S_5\end{align*}We have (noisy) data on the concentrations of the species as a function of time. We want to infer the rates $k_1$ to $k_3$. Let’s write the derivatives:\begin{align*}\dot S_0 &=- k_1 S_0\\\dot S_1 &= k_1 S_0 -k_3 S_1…