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Parameter estimation with a novel gradient-based optimization method for biological lattice-gas cellular automaton models

Parameter estimation with a novel gradient-based optimization method for biological lattice-gas cellular automaton models,10.1007/s00285-010-0366-4,Jo

Parameter estimation with a novel gradient-based optimization method for biological lattice-gas cellular automaton models  
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Lattice-gas cellular automata (LGCAs) can serve as stochastic mathematical models for collective behavior (e.g. pattern formation) emerging in populations of interacting cells. In this paper, a two-phase optimization algorithm for global parameter estimation in LGCA models is presented. In the first phase, local minima are identified through gradient-based optimization. Algorithmic differentiation is adopted to calculate the necessary gradient information. In the second phase, for global optimization of the parameter set, a multi-level single-linkage method is used. As an example, the parameter estimation algorithm is applied to a LGCA model for early in vitro angiogenic pattern formation.
Journal: Journal of Mathematical Biology - J MATH BIOL , vol. 63, no. 1, pp. 173-200, 2011
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