Parameter Estimation and Model Selection

Gennady Bocharov (), Vitaly Volpert, Burkhard Ludewig and Andreas Meyerhans
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Gennady Bocharov: Russian Academy of Sciences, Marchuk Institute of Numerical Mathematics
Vitaly Volpert: Centre National de la Recherche Scientifique (CNRS), Institut Camille Jordan, UMR 5208 CNRS
Burkhard Ludewig: Kantonsspital St. Gallen, Institute of Immunobiology
Andreas Meyerhans: ICREA and Universitat Pompeu Fabra, Parc de Recerca Biomedica Barcelona

Chapter Chapter 3 in Mathematical Immunology of Virus Infections, 2018, pp 35-95 from Springer

Abstract: Abstract In this chapter, we illustrate a data-driven methodology to formulation and calibration of mathematical models of immune responses. The maximum likelihood approach to parameter estimation, Tikhonov regularization method and information-theoretic criteria for model ranking and selection are presented for models formulated with ODEs, DDEs and PDEs. Experimental data on CFSE-based proliferation analysis of T cells and LCMV–CTL dynamics in a low dose experimental infection of mice are used.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-72317-4_3

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DOI: 10.1007/978-3-319-72317-4_3

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