Observability and Structural Identifiability of Nonlinear Biological Systems
Author
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-01
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Observability is a modelling property that describes the possibility of inferring the internal state of a system from observations of its output.
A related property, structural identifiability, refers to the theoretical possibility of determining the parameter values from the output.
In fact, structural identifiability becomes a particular case of observability if the parameters are considered as constant state variables.
It is possible to simultaneously analyse the observability and structural identifiability of a model using the conceptual tools of differential geometry.
Many complex biological processes can be described by systems of nonlinear ordinary differential equations and can therefore be analysed with this approach.
The purpose of this review article is threefold: (I) to serve as a tutorial on observability and structural identifiability of nonlinear systems, using the differential geometry approach for their analysis; (II) to review recent advances in the field; and (III) to identify open problems and suggest new avenues for research in this area.
American Psychological Association (APA)
Villaverde, Alejandro F.. 2019. Observability and Structural Identifiability of Nonlinear Biological Systems. Complexity،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1132967
Modern Language Association (MLA)
Villaverde, Alejandro F.. Observability and Structural Identifiability of Nonlinear Biological Systems. Complexity No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1132967
American Medical Association (AMA)
Villaverde, Alejandro F.. Observability and Structural Identifiability of Nonlinear Biological Systems. Complexity. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1132967
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132967