Parameter identifiability and model selection for partial differential equation models of cell invasion

When employing mechanistic models to study biological phenomena, practical parameter identifiability is important for making accurate predictions across wide range of unseen scenarios, as well as for understanding the underlying mechanisms. In this work we use a profile likelihood approach to invest...

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Main Authors: Liu, Y, Suh, K, Maini, P, Cohen, D, Baker, R
Format: Journal article
Language:English
Published: Royal Society 2024
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author Liu, Y
Suh, K
Maini, P
Cohen, D
Baker, R
author_facet Liu, Y
Suh, K
Maini, P
Cohen, D
Baker, R
author_sort Liu, Y
collection OXFORD
description When employing mechanistic models to study biological phenomena, practical parameter identifiability is important for making accurate predictions across wide range of unseen scenarios, as well as for understanding the underlying mechanisms. In this work we use a profile likelihood approach to investigate parameter identifiability for four extensions of the Fisher–KPP model, given experimental data from a cell invasion assay. We show that more complicated models tend to be less identifiable, with parameter estimates being more sensitive to subtle differences in experimental procedures, and that they require more data to be practically identifiable. As a result, we suggest that parameter identifiability should be considered alongside goodness-of-fit and model complexity as criteria for model selection.
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spelling oxford-uuid:4001eb0d-55b2-4fe6-ba2c-1935a08a18422024-04-05T11:09:15ZParameter identifiability and model selection for partial differential equation models of cell invasionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:4001eb0d-55b2-4fe6-ba2c-1935a08a1842EnglishSymplectic ElementsRoyal Society2024Liu, YSuh, KMaini, PCohen, DBaker, RWhen employing mechanistic models to study biological phenomena, practical parameter identifiability is important for making accurate predictions across wide range of unseen scenarios, as well as for understanding the underlying mechanisms. In this work we use a profile likelihood approach to investigate parameter identifiability for four extensions of the Fisher–KPP model, given experimental data from a cell invasion assay. We show that more complicated models tend to be less identifiable, with parameter estimates being more sensitive to subtle differences in experimental procedures, and that they require more data to be practically identifiable. As a result, we suggest that parameter identifiability should be considered alongside goodness-of-fit and model complexity as criteria for model selection.
spellingShingle Liu, Y
Suh, K
Maini, P
Cohen, D
Baker, R
Parameter identifiability and model selection for partial differential equation models of cell invasion
title Parameter identifiability and model selection for partial differential equation models of cell invasion
title_full Parameter identifiability and model selection for partial differential equation models of cell invasion
title_fullStr Parameter identifiability and model selection for partial differential equation models of cell invasion
title_full_unstemmed Parameter identifiability and model selection for partial differential equation models of cell invasion
title_short Parameter identifiability and model selection for partial differential equation models of cell invasion
title_sort parameter identifiability and model selection for partial differential equation models of cell invasion
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AT suhk parameteridentifiabilityandmodelselectionforpartialdifferentialequationmodelsofcellinvasion
AT mainip parameteridentifiabilityandmodelselectionforpartialdifferentialequationmodelsofcellinvasion
AT cohend parameteridentifiabilityandmodelselectionforpartialdifferentialequationmodelsofcellinvasion
AT bakerr parameteridentifiabilityandmodelselectionforpartialdifferentialequationmodelsofcellinvasion