On the Existence of Identifiable Reparametrizations for Linear Compartment Models

DOI10.1137/15M1038013zbMath1342.93033arXiv1509.02551OpenAlexW2168585611MaRDI QIDQ3188133

Jasmijn A. Baaijens, Jan Draisma

Publication date: 17 August 2016

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

Full work available at URL: https://arxiv.org/abs/1509.02551

zbMATH Keywords

identifiabilityear decompositionreparametrizationcompartment models

Mathematics Subject Classification ID

Applications of graph theory (05C90) System identification (93B30) System structure simplification (93B11) Realizations from input-output data (93B15)

Related Items (6)

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 tree models and a general formula for input-output equations ⋮ Parameter identifiability and input-output equations ⋮ Real identifiability vs. complex identifiability ⋮ Computing all identifiable functions of parameters for ODE models

Cites Work

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• Identifiability results for several classes of linear compartment models
• Structural identifiability analysis via symmetries of differential equations
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• System identifiability based on the power series expansion of the solution
• A procedure for generating locally identifiable reparametrisations of unidentifiable nonlinear systems by the similarity transformation approach
• On global identifiability for arbitrary model parametrizations
• Extensions to a procedure for generating locally identifiable reparameterisations of unidentifiable systems
• Identifiable reparametrizations of linear compartment models
• An algorithm for finding globally identifiable parameter combinations of nonlinear ODE models using Gröbner bases
• A graph theoretical approach to the parameters identifiability characterisation
• Digraphs
• The Factorization of Linear Graphs

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