Identification of parameters for large-scale kinetic models

نویسندگان

چکیده

Inverse problem for the identification of parameters large-scale systems nonlinear ordinary differential equations (ODEs) arising in biology is analyzed. In a recent paper \textit{Mathematical Biosciences, 305(2018), 133-145}, authors implemented numerical method suggested by one \textit{J. Optim. Theory Appl., 85, 3(1995), 509-526} moderate scale models biology. This combines Pontryagin optimization or Bellman's quasilinearization with sensitivity analysis and Tikhonov regularization. We suggest modification embedding staggered corrector enhancing multi-objective which enables application to practically non-identifiable based on multiple data sets, possibly partial noisy measurements. apply modified benchmark model three-step pathway modeled 8 ODEs 36 unknown two control input parameters. The results demonstrate geometric convergence minimum five sets measurements per set. Software package \textit{qlopt} developed posted GitHub. MATLAB AMIGO2 used advantage over most popular methods/software such as \textit{lsqnonlin}, \textit{fmincon} \textit{nl2sol}.

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ژورنال

عنوان ژورنال: Journal of Computational Physics

سال: 2021

ISSN: ['1090-2716', '0021-9991']

DOI: https://doi.org/10.1016/j.jcp.2020.110026