Evidence map›Paper›PMID 40674456›Full record

ArticlePloS one2025

A new method for a priori practical identifiability.

Peter Thompson, Benjamin Jan Andersson, Nicolas Sundqvist, Gunnar Cedersund

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Article in PloS one, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.

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2citing papers in PubMed
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1 · What the graph read from it

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2 · The registry

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3 · Its place in the literature

Who cites it

2 citing papers in PubMed.

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4 · The record

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5 · Who and what money

Authors and funding

4 authors.

Peter ThompsonDepartment of Biomedical Engineering Linköping University, Linköping, Sweden.ORCID https://orcid.org/0000-0001-7528-3736
Benjamin Jan AnderssonDepartment of Biomedical Engineering Linköping University, Linköping, Sweden.
Nicolas SundqvistDepartment of Biomedical Engineering Linköping University, Linköping, Sweden.
Gunnar CedersundDepartment of Biomedical Engineering Linköping University, Linköping, Sweden.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

BACKGROUND AND

objectivePractical identifiability analysis, i.e., ascertaining whether a model property can be determined from given data, is central to model-based data analysis in biomedicine. The main approaches used today all require that coverage of the parameter space be exhaustive, which is usually impossible. An alternative could be using structural identifiability methods, since they do not need such coverage. However, current structural methods are unsuited for practical identifiability analysis, since they assume that all higher-order derivatives of the measured variables are available. Herein, we provide new definitions and methods that allow for this assumption to be relaxed. METHODS AND

resultsWe introduce the concept of [Formula: see text]-identifiability, which differs from previous definitions in that it assumes that only the first [Formula: see text] derivatives of the measurement signal yi are available. This new type of identifiability can be determined using our new algorithms, as is demonstrated by applications to various published biomedical models. Our methods allow for identifiability of not only parameters, but of any model property, i.e., observability. These new results provide further strengthening of conclusions made in previous analysis of these models. For the first time, we can quantify the impact of the assumption that all derivatives are available in specific examples. If one, e.g., assumes that only up to third order derivatives, instead of all derivatives, are available, the number of identifiable parameters drops from 17 to 1 for a Drosophila model, and from 21 to 6 for an NF-[Formula: see text]B model. In both models, the previously obtained identifiability is present only if at least 20 derivatives of all measurement signals are available.

conclusionOur results demonstrate that the assumption regarding availability of derivatives made in traditional structural identifiability analysis requires a big overestimation regarding the number of parameters that can be estimated. Our new methods and algorithms allow for this assumption to be relaxed, bringing structural identifiability methodology one step closer to practical identifiability analysis.

Indexed as

AlgorithmsModels, BiologicalAnimalsDrosophila melanogaster

Identifiers

PMID40674456
PMCPMC12270335

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.