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Methods based on constrained maximum likelihood estimation are illustrated with a real example from a clinical laboratory study.
Automatica 1998; 34: 585–601; Panagopoulos H, Åström KJ, Hägglund T. Design of PID controllers based on constrained optimisation.
These are alternatives to powerful, well established, but in particular instances, possibly 'cumbersome' general-purpose numerical techniques, such as finite-element approaches based on constrained optimization.
Through response surface methodology, thermal desorption conditions (i.e. desorption flow, thermal desorption time and cryofocusing temperature) were optimised based on constrained optimisation.
In summary, statistics based on constrained maximum likelihood estimation always control the actual type I error rate much better than other statistics.
In this paper, a novel EMS, based on constrained minimization problem, is proposed and verified with reference to a case study of a waterbus operating in restricted waterways on different routes.
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It is based on constraining the interpolated values at extrema (and only at extrema) using non-linear combinations of various difference approximations of the second derivatives.
Scalar slope limiter constructed based on constraining the second invariant is a formulation to extract a slope limiter from the scaling procedure.
This approach could prove of value as a substitute for current approaches based on constraining the deconvolution operation (Zarinabad et al., 2013; Hautvast et al., 2012).
Flux balance analysis [ 21] and the majority of methods derived from it are based on constraining the admissible intracellular flux space to steady-state and choosing an adequate optimality criterion to calculate intracellular fluxes.
But the study of synthetic rescues 5 provides a clear procedure to identify compensatory perturbations based on constraining the reactions that are over-activated (or run in the opposite direction) when compared to the desired optimal state.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com