Structural identifiability analysis of some highly structured families of statespace models using differential algebra

DOI10.1007/s00285-003-0261-3zbMath1084.92027OpenAlexW2086948547WikidataQ51984068 ScholiaQ51984068MaRDI QIDQ1764626

Eva Riccomagno, Lisa J. White, Gabriella Margaria

Publication date: 25 February 2005

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-003-0261-3

zbMATH Keywords

Taylor series

Mathematics Subject Classification ID

Epidemiology (92D30) Symbolic computation and algebraic computation (68W30) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Medical applications (general) (92C50) Medical epidemiology (92C60)

Related Items (6)

Identifiability problem for recovering the mortality rate in an age-structured population dynamics model ⋮ Identifiability analysis of an epidemiological model in a structured population ⋮ Identifiability of Infection Model Parameters Early in an Epidemic ⋮ Structural identifiability of a model for the acetic acid fermentation process ⋮ Global sensitivity analysis for the design of nonlinear identification experiments ⋮ Structural identifiability analysis via symmetries of differential equations

Uses Software

• Maple
• ObservabilityTest

Cites Work

• System identifiability based on the power series expansion of the solution
• On global identifiability for arbitrary model parametrizations
• The structural identifiability and parameter estimation of a multispecies model for the transmission of mastitis in dairy cows
• Factorization-free decomposition algorithms in differential algebra
• Identifiability of uncontrolled nonlinear rational systems
• A bound for the order of characteristic set elements of an ordinary prime differential ideal and some applications
• Immune Responses against Conserved and Variable Viral Epitopes
• Structural identifiability of linear compartmental systems
• A probabilistic algorithm to test local algebraic observability in polynomial time
• Differential algebra methods for the study of the structural identifiability of rational function state-space models in the biosciences
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