Works (4)
Updated: August 3rd, 2023 15:35
2022 journal article
Identifiable Paths and Cycles in Linear Compartmental Models
BULLETIN OF MATHEMATICAL BIOLOGY, 84(5).
author keywords: Structural identifiability; Linear compartmental model; Identifiable functions of parameters; Identifiable combinations
MeSH headings : Epidemiological Models; Linear Models; Mathematical Concepts; Models, Biological
TL;DR:
A class of linear compartmental 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 are introduced.
(via Semantic Scholar)
open access via link.springer.com (publisher PDF)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: April 4, 2022
2015 journal article
Identifiability Results for Several Classes of Linear Compartment Models
BULLETIN OF MATHEMATICAL BIOLOGY, 77(8), 1620–1651.
author keywords: Identifiability; Linear compartment models; Identifiable functions; Differential algebra
MeSH headings : Animals; Endosomes / metabolism; Humans; Linear Models; Manganese / pharmacokinetics; Mathematical Concepts; Models, Biological; Rats
TL;DR:
This work shows how to modify identifiable cycle models by adding inputs, adding outputs, or removing leaks, in such a way that they obtain an identifiable model and proves a constructive result on how to combine identifiable models, each corresponding to strongly connected graphs, into a larger identifiable model.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2014 journal article
Structural Identifiability of Viscoelastic Mechanical Systems
PLOS ONE, 9(2).
MeSH headings : Algorithms; Arteries / pathology; Blood Pressure; Computer Simulation; Elasticity; Endothelium, Vascular / pathology; Humans; Models, Cardiovascular; Stress, Mechanical; Viscosity
TL;DR:
A very simple characterization of both local and global structural identifiability based on identifiable tables is proposed, with the purpose of providing a guideline for constructing arbitrarily complex, identifiable spring-dashpot networks.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
Identifiable reparametrizations of linear compartment models
JOURNAL OF SYMBOLIC COMPUTATION, 63, 46–67.
author keywords: Identifiability; Compartment models; Reparametrization
TL;DR:
This work uses commutative algebra and graph theory to study a particular class of unidentifiable models and finds conditions to obtain identifiable scaling reparametrizations of these models, and provides an algorithm for finding these reparamETrizations when they exist and partial results beginning to classify graphs which possess an identifiable scaling re-modelling.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
3. Good Health and Well-being
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
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