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• W2039076597 abstract "In recent years, both parameter estimation and fractional calculus have attracted a considerable interest. Parameter estimation of the fractional dynamical models is a new topic. In this paper, we consider novel techniques for parameter estimation of fractional nonlinear dynamical models in systems biology. First, a computationally effective fractional Predictor–Corrector method is proposed for simulating fractional complex dynamical models. Second, we convert the parameter estimation of fractional complex dynamical models into a minimization problem of the unknown parameters. Third, a modified hybrid simplex search (MHSS) and a particle swarm optimization (PSO) is proposed. Finally, these techniques are applied to a dynamical model of competence induction in a cell with measurement error and noisy data. Some numerical results are given that demonstrate the effectiveness of the theoretical analysis." @default.
• W2039076597 created "2016-06-24" @default.
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• W2039076597 date "2011-08-01" @default.
• W2039076597 modified "2023-10-05" @default.
• W2039076597 title "Novel techniques in parameter estimation for fractional dynamical models arising from biological systems" @default.
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• W2039076597 doi "https://doi.org/10.1016/j.camwa.2011.03.002" @default.
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