Computational modelling with functional differential equations: identification, selection, and sensitivity

DOI10.1016/j.apnum.2004.08.014zbMath1069.65082OpenAlexW2038038912MaRDI QIDQ1772789

Fathalla A. Rihan, Gennadii A. Bocharov, Christopher A. H. Paul, Christopher T. H. Baker

Publication date: 21 April 2005

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.08.014

zbMATH Keywords

information matrixparameter estimationconfidence intervalsinverse problemsensitivity analysisfeedbacknumerical examplesmaximum likelihoodobjective functionfunctional differential equationsweighted least squaresobservational datatime-lagcomputational identificationinformation-theoretic criteria

Mathematics Subject Classification ID

Related Items (13)

Computational aspects of time-lag models of Marchuk type that arise in immunology ⋮ Computational analysis of CFSE proliferation assay ⋮ Rival approaches to mathematical modelling in immunology ⋮ Mathematical models for CFSE labelled lymphocyte dynamics: asymmetry and time-lag in division ⋮ Observations on evolutionary models with (or without) time lag, and on problematical paradigms ⋮ Effects of the initial moment and several delays perturbations in the variation formulas for a solution of a functional differential equation with the continuous initial condition ⋮ Feasibility of parameter estimation in hepatitis C viral dynamics models ⋮ Sense from sensitivity and variation of parameters ⋮ Identification of the initial function for discretized delay differential equations ⋮ Stability conditions for singularly perturbed delay differential equations ⋮ Some aspects of causal and neutral equations used in modelling ⋮ Computational approaches to parameter estimation and model selection in immunology ⋮ Analysis via integral equations of an identification problem for delay differential equations

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