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Multi Component Langmuir¶
The Langmuir binding model includes a saturation term and takes into account the capacity of the resin [3, 20]. All components compete for the same binding sites.
\[\begin{aligned}
\frac{\mathrm{d} q_i}{\mathrm{d} t} = k_{a,i}\: c_{p,i}\: q_{\text{max},i} \left( 1 - \sum_{j=0}^{N_{\text{comp}} - 1} \frac{q_j}{q_{\text{max},j}} \right) - k_{d,i} q_i && i = 0, \dots, N_{\text{comp}} - 1.
\end{aligned}\]
For more information on model parameters required to define in CADET file format, see Multi Component Langmuir.