Abstract:
This study delves into the mechanistic modelling of literature results for the adsorption of aqueous Pb(II) by
metabolically inhibited bacterial cultures from the industrial sector. Employing a multi-compartmented
mathematical model based on Langmuir's mechanistic multi-surface adsorption, the study explores the
adsorption process onto multiple heterogeneous surfaces operating simultaneously. The mathematical model
is elucidated, and its parameters are optimized using experimental data obtained from various biosorbents.
The results highlight the efficacy of the proposed multi-surface Langmuir kinetic models in predicting the
adsorption kinetics of Pb(II) for diverse adsorbents. The study underscores the potential of multi-surface
Langmuir modelling in capturing surface heterogeneity. The sensitivity analysis reveals the models'
responsiveness to variations in adsorption rate constants (kad), emphasizing the necessity of precise
parameterization for robust predictions. These sensitivities have significant implications for the accurate
modelling of Pb(II) adsorption kinetics, guiding advancements in effective wastewater treatment strategies.