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Forcing Function Diagnostics for Nonlinear Dynamics.
- Source :
- Biometrics; Sep2009, Vol. 65 Issue 3, p928-936, 9p, 6 Graphs
- Publication Year :
- 2009
-
Abstract
- This article investigates the problem of model diagnostics for systems described by nonlinear ordinary differential equations (ODEs). I propose modeling lack of fit as a time-varying correction to the right-hand side of a proposed differential equation. This correction can be described as being a set of additive forcing functions, estimated from data. Representing lack of fit in this manner allows us to graphically investigate model inadequacies and to suggest model improvements. I derive lack-of-fit tests based on estimated forcing functions. Model building in partially observed systems of ODEs is particularly difficult and I consider the problem of identification of forcing functions in these systems. The methods are illustrated with examples from computational neuroscience. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0006341X
- Volume :
- 65
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Biometrics
- Publication Type :
- Academic Journal
- Accession number :
- 44183128
- Full Text :
- https://doi.org/10.1111/j.1541-0420.2008.01172.x