Parameter space boundaries for unidentifiable compartmental models

DOI10.1016/0025-5564(89)90042-4zbMath0695.93022OpenAlexW2000610039WikidataQ58489355 ScholiaQ58489355MaRDI QIDQ910363

Sandor Vajda, Keith R. Godfrey, Joseph J. III DiStefano, John T. Fagarasan

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0025-5564(89)90042-4

zbMATH Keywords

time-invariantexhaustive modelingparameter interval analysisunidentifiable compartmental models

Mathematics Subject Classification ID

System identification (93B30) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (7)

An algorithm for identifiable parameters and parameter bounds for a class of cascaded mammillary models ⋮ Partial identification of underdetermined compartmental models: A method based on positive linear Lyapunov functions ⋮ Identifiability of linear compartmental models: the singular locus ⋮ Identification, interval bounds, and linear algebraic estimation for a class of nonlinear problems ⋮ A state space transformation can yield identifiable models for tracer kinetic studies with enrichment data ⋮ Identifiability and interval identifiability of mammillary and catenary compartmental models with some known rate constants ⋮ Linear Compartmental Models: Input-Output Equations and Operations That Preserve Identifiability

Cites Work

• Unnamed Item
• An algorithm for the identifiable parameter combinations of the general mammillary compartmental model
• Identifiability from parameter bounds. Structural and numerical aspects
• Complete parameter bounds and quasiidentifiability conditions for a class of unidentifiable linear systems
• Algorithms for the identifiable parameter combinations and parameter bounds of unidentifiable catenary compartmental models
• Unidentifiable compartmental models: What to do?
• Structural equivalence of linear systems and compartmental models
• On parameter and structural identifiability: Nonunique observability/reconstructibility for identifiable systems, other ambiguities, and new definitions

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