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Defective protein prenylation is a diagnostic biomarker of mevalonate kinase deficiency
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Parameter estimation through the weighted goal programming model
Many models in economics, management and finance can be
described in terms of nonlinear dynamical systems which usually depend on
some unknown parameters. To conduct a long-run behaviour analysis of these
models it is of paramount importance to establish efficient and accurate
parameter estimation techniques. Today many sophisticated nonlinear model
estimation, selection and testing approaches are available and reliable.
However, when the nonlinear dynamical systems take the form of differential
equations, many of them fail and it is required to use more advanced
techniques. The aim of this paper is to present a weighted goal programming
formulation for estimating the unknown parameters of dynamical models
described in terms of differential equations. The method is illustrated through
two different applications to population dynamics (Malthus model) and
innovation diffusion (Bass model)