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Identifiable Paths and Cycles in Linear Compartmental Models
We introduce a class of linear compartmental models called identifiable path/cycle models which have the property that all of the monomial functions of parameters associated to the directed cycles and paths from input compartments to output compartments are identifiable and give sufficient condition...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer US
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8934029/ https://www.ncbi.nlm.nih.gov/pubmed/35305179 http://dx.doi.org/10.1007/s11538-022-01007-5 |
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author | Bortner, Cashous Meshkat, Nicolette |
author_facet | Bortner, Cashous Meshkat, Nicolette |
author_sort | Bortner, Cashous |
collection | PubMed |
description | We introduce a class of linear compartmental models called identifiable path/cycle models which have the property that all of the monomial functions of parameters associated to the directed cycles and paths from input compartments to output compartments are identifiable and give sufficient conditions to obtain an identifiable path/cycle model. Removing leaks, we then show how one can obtain a locally identifiable model from an identifiable path/cycle model. These identifiable path/cycle models yield the only identifiable models with certain conditions on their graph structure and thus we provide necessary and sufficient conditions for identifiable models with certain graph properties. A sufficient condition based on the graph structure of the model is also provided so that one can test if a model is an identifiable path/cycle model by examining the graph itself. We also provide some necessary conditions for identifiability based on graph structure. Our proofs use algebraic and combinatorial techniques. |
format | Online Article Text |
id | pubmed-8934029 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | Springer US |
record_format | MEDLINE/PubMed |
spelling | pubmed-89340292022-03-21 Identifiable Paths and Cycles in Linear Compartmental Models Bortner, Cashous Meshkat, Nicolette Bull Math Biol Original Article We introduce a class of linear compartmental models called identifiable path/cycle models which have the property that all of the monomial functions of parameters associated to the directed cycles and paths from input compartments to output compartments are identifiable and give sufficient conditions to obtain an identifiable path/cycle model. Removing leaks, we then show how one can obtain a locally identifiable model from an identifiable path/cycle model. These identifiable path/cycle models yield the only identifiable models with certain conditions on their graph structure and thus we provide necessary and sufficient conditions for identifiable models with certain graph properties. A sufficient condition based on the graph structure of the model is also provided so that one can test if a model is an identifiable path/cycle model by examining the graph itself. We also provide some necessary conditions for identifiability based on graph structure. Our proofs use algebraic and combinatorial techniques. Springer US 2022-03-19 2022 /pmc/articles/PMC8934029/ /pubmed/35305179 http://dx.doi.org/10.1007/s11538-022-01007-5 Text en © The Author(s), under exclusive licence to Society for Mathematical Biology 2022 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic. |
spellingShingle | Original Article Bortner, Cashous Meshkat, Nicolette Identifiable Paths and Cycles in Linear Compartmental Models |
title | Identifiable Paths and Cycles in Linear Compartmental Models |
title_full | Identifiable Paths and Cycles in Linear Compartmental Models |
title_fullStr | Identifiable Paths and Cycles in Linear Compartmental Models |
title_full_unstemmed | Identifiable Paths and Cycles in Linear Compartmental Models |
title_short | Identifiable Paths and Cycles in Linear Compartmental Models |
title_sort | identifiable paths and cycles in linear compartmental models |
topic | Original Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8934029/ https://www.ncbi.nlm.nih.gov/pubmed/35305179 http://dx.doi.org/10.1007/s11538-022-01007-5 |
work_keys_str_mv | AT bortnercashous identifiablepathsandcyclesinlinearcompartmentalmodels AT meshkatnicolette identifiablepathsandcyclesinlinearcompartmentalmodels |