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Multi Component Anti-Langmuir

The Anti-Langmuir (or generalized Langmuir) binding model extends the Langmuir model (see Section Multi Component Langmuir). The factor $p_j\in \{-1,1\}$ determines the shape of the isotherm. For $p_j=1$ (standard Langmuir) the chromatograms have sharp fronts and a dispersed tail (isotherm is concave). In case of the Anti-Langmuir ($p_j=-1$) it is the other way around (isotherm is convex).

$$\begin{array}{rlr}\frac{\mathrm{d}{q}_i}{\mathrm{d}t}=k_{a,i}{c}_{p,i}{q}_{\text{max},i}(1-\sum _{j=0}^{N_{\text{comp}}-1}{p}_j\frac{q_j}{q_{\text{max},j}})-k_{d,i}{q}_i& & i=0,\dots ,N_{\text{comp}}-1.\end{array}$$

For more information on model parameters required to define in CADET file format, see Multi Component Anti-Langmuir.