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Fractional Order Model Identification of Receptor-Ligand Complexes Formation by Equivalent Electrical Circuit Modeling

In this study, relevant time resolved kinetic system is modeled according to linear fractional order model structure under the electrical circuit model assumption. The data, which were obtained from receptor ligand, are very noisy. Particularly, the unstable flowing of liquids around surfaces leads to irregular mass-transfer between the layers of reagent near the surface. Current flow of equivalent electric circuit modeling resembles overall mass flow and accumulation on surface corresponds to charge collection in capacitance. Thus, the charging and discharging process of fractional order capacitor can be used to represent accumulation and relaxation mechanisms of the receptor ligand complexes formation by using Stochastic Multi-parameter Divergence Optimization (SMDO) method. Meanwhile, error function that is comparison between model output with real output is used as an objective function for optimization of the fractional order model parameters.