Testing structural identifiability by a simple scaling method.
Mario Castro,Rob J. de Boer +1 more
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TLDR
This work presents a new analytical method to test structural identifiability of models based on ordinary differential equations, based on the invariance of the equations under the scaling transformation of its parameters.Abstract:
Successful mathematical modeling of biological processes relies on the expertise of the modeler to capture the essential mechanisms in the process at hand and on the ability to extract useful information from empirical data. A model is said to be structurally unidentifiable, if different quantitative sets of parameters provide the same observable outcome. This is typical (but not exclusive) of partially observed problems in which only a few variables can be experimentally measured. Most of the available methods to test the structural identifiability of a model are either too complex mathematically for the general practitioner to be applied, or require involved calculations or numerical computation for complex non-linear models. In this work, we present a new analytical method to test structural identifiability of models based on ordinary differential equations, based on the invariance of the equations under the scaling transformation of its parameters. The method is based on rigorous mathematical results but it is easy and quick to apply, even to test the identifiability of sophisticated highly non-linear models. We illustrate our method by example and compare its performance with other existing methods in the literature.read more
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References
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Journal ArticleDOI
Rapid turnover of plasma virions and CD4 lymphocytes in HIV-1 infection
TL;DR: Treatment of infected patients with ABT-538 causes plasma HIV-1 levels to decrease exponentially and CD4 lymphocyte counts to rise substantially, indicating that replication of HIV- 1 in vivo is continuous and highly productive, driving the rapid turnover ofCD4 lymphocytes.
Journal ArticleDOI
On Physically Similar Systems; Illustrations of the Use of Dimensional Equations
Journal ArticleDOI
On structural identifiability
TL;DR: In this article, structural identifiability is introduced to answer questions such as: To what extent is it possible to get insight into the internal structure of a system from input-output measurements? What experiments are necessary in order to determine the internal couplings uniquely?
Journal ArticleDOI
On global identifiability for arbitrary model parametrizations
Lennart Ljung,Torkel Glad +1 more
TL;DR: This contribution shows how global identifiability for an arbitrary model structure (basically with analytic non-linearities) can be analyzed using concepts and algorithms from differential algebra.