Linear Compartmental Models: Input-Output Equations and Operations That Preserve Identifiability

DOI10.1137/18M1204826zbMath1419.93012arXiv1808.00335MaRDI QIDQ5231226

Heather A. Harrington, Elizabeth Gross, Nicolette Meshkat, Anne Shiu

Publication date: 26 August 2019

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00335

zbMATH Keywords

identifiabilitymatrix-tree theoreminput-output equationlinear compartmental model

Mathematics Subject Classification ID

System identification (93B30) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Linear ordinary differential equations and systems (34A30) Chemical kinetics in thermodynamics and heat transfer (80A30) Inverse problems involving ordinary differential equations (34A55) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) Solving polynomial systems; resultants (13P15)

Related Items (8)

Identifiability of linear compartmental models: the effect of moving inputs, outputs, and leaks ⋮ Identifiable paths and cycles in linear compartmental models ⋮ Identifiability of linear compartmental models: the singular locus ⋮ Joining and decomposing reaction networks ⋮ Multi-experiment Parameter Identifiability of ODEs and Model Theory ⋮ Identifiability of linear compartmental tree models and a general formula for input-output equations ⋮ Parameter identifiability and input-output equations ⋮ Computing all identifiable functions of parameters for ODE models

Uses Software

• DAISY
• SIAN

Cites Work

• Structural and practical identifiability issues of immuno-epidemiological vector-host models with application to Rift Valley Fever
• Minimal output sets for identifiability
• Identifiability results for several classes of linear compartment models
• Parameter space boundaries for unidentifiable compartmental models
• Analysis of unique structural identifiability via submodels
• Identifiability results on some constrained compartmental systems
• Identifiable reparametrizations of linear compartment models
• Algebraic Tools for the Analysis of State Space Models
• Global Identifiability of Differential Models

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