Numerical treatment of the parameter identification problem for delay- differential systems arising in immune response modelling

DOI10.1016/0168-9274(94)00007-7zbMath0812.65059OpenAlexW1965803118MaRDI QIDQ1339339

A. A. Romanyukha, Gennadii A. Bocharov

Publication date: 14 May 1995

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

Full work available at URL: https://doi.org/10.1016/0168-9274(94)00007-7

zbMATH Keywords

inverse problemparameter identificationstiff problemsequential fittingfitting procedureshepatitis B virus infection modelimmune response modellingsystems of nonlinear delay- differential equationsviral and bacterial infections

Mathematics Subject Classification ID

Epidemiology (92D30) Numerical methods for initial value problems involving ordinary differential equations (65L05) General theory of functional-differential equations (34K05) Inverse problems involving ordinary differential equations (34A55) Multiple scale methods for ordinary differential equations (34E13)

Related Items

Modelling the dynamics of LCMV infection in mice. II: Compartmental structure and immunopathology ⋮ Stiffness in numerical initial-value problems ⋮ Numerical computation of derivatives in systems of delay differential equations ⋮ Tensor based approach to the numerical treatment of the parameter estimation problems in mathematical immunology

Uses Software

• DELSOL
• DIFSUB
• IMSL Numerical Libraries
• MINUIT

Cites Work

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