Analysis of unique structural identifiability via submodels

DOI10.1016/0025-5564(84)90023-3zbMath0584.92001OpenAlexW2014882611WikidataQ58489370 ScholiaQ58489370MaRDI QIDQ1070958

Sandor Vajda

Publication date: 1984

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(84)90023-3

zbMATH Keywords

full-rank submodelssufficient and necessary condition for unique structural identifiability of linear compartmental models

Mathematics Subject Classification ID

System identification (93B30) Linear systems in control theory (93C05) General biology and biomathematics (92B05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (10)

Remarks on Bellman's structural identifiability ⋮ A simple solution to the compartmental structural-identifiability problem ⋮ Pool size and mass flux bounds and quasiidentifiability relations for catenary models ⋮ Statistical variability of parameter bounds for n-pool unidentifiable mammillary and catenary compartmental models ⋮ Identifiability of linear compartmental models: the singular locus ⋮ A state space transformation can yield identifiable models for tracer kinetic studies with enrichment data ⋮ Identifiability results for several classes of linear compartment models ⋮ Identifiability of linear compartmental tree models and a general formula for input-output equations ⋮ Linear Compartmental Models: Input-Output Equations and Operations That Preserve Identifiability ⋮ Properties of the transfer functions of compartmental models. II

Cites Work

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• Structural equivalence of linear systems and compartmental models
• Singular perturbations and order reduction in control theory - an overview
• A method of writing symbolically the transfer matrix of a compartmental model
• A sufficient condition for identifiability of a linear system
• An investigation of the sources of nonuniqueness in deterministic identifiability
• Structural identifiability of dynamical systems
• Identifiability of compartmental models
• Identifiability of linear and nonlinear dynamical systems

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