A Parameter-Free Model Comparison Test Using Differential Algebra
Joint Authors
Harrington, Heather A.
Ho, Kenneth L.
Meshkat, Nicolette
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-17
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We present a method for rejecting competing models from noisy time-course data that does not rely on parameter inference.
First we characterize ordinary differential equation models in only measurable variables using differential-algebra elimination.
This procedure gives input-output equations, which serve as invariants for time series data.
We develop a model comparison test using linear algebra and statistics to reject incorrect models from their invariants.
This algorithm exploits the dynamic properties that are encoded in the structure of the model equations without recourse to parameter values, and, in this sense, the approach is parameter-free.
We demonstrate this method by discriminating between different models from mathematical biology.
American Psychological Association (APA)
Harrington, Heather A.& Ho, Kenneth L.& Meshkat, Nicolette. 2019. A Parameter-Free Model Comparison Test Using Differential Algebra. Complexity،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1132307
Modern Language Association (MLA)
Harrington, Heather A.…[et al.]. A Parameter-Free Model Comparison Test Using Differential Algebra. Complexity No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1132307
American Medical Association (AMA)
Harrington, Heather A.& Ho, Kenneth L.& Meshkat, Nicolette. A Parameter-Free Model Comparison Test Using Differential Algebra. Complexity. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1132307
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132307