The dynamic behavior of copper adsorption system with a column packed with a biological sorbent moss was predicted successfully with a rigorous dynamic mathematical model. The model considers resistances due to axial dispersion, external film and intraparticle diffusion in addition to the Freundlich equilibrium isotherm. Adsorption parameters must be defined for the mathematical model to be solved. Therefore, a parameter estimation procedure via optimization is presented to simultaneously determine the model parameters and validate the model prediction. A typical range of values was selected for the system parameters, and the system sensitivity to the changes in the parameters was explored. Numerical simulation results are in good agreement with the experimental results at different operating conditions.