Regularized Semiparametric Estimation for Ordinary Differential Equations.

ABSTRACT: Ordinary differential equations (ODEs) are widely used in modeling dynamic systems and have ample applications in the fields of physics, engineering, economics and biological sciences. The ODE parameters often possess physiological meanings and can help scientists gain better understanding of the system. One key interest is thus to well estimate these parameters. Ideally, constant parameters are preferred due to their easy interpretation. In reality, however, constant parameters can be too restrictive such that even after incorporating error terms, there could still be unknown sources of disturbance that lead to poor agreement between observed data and the estimated ODE system. In this paper, we address this issue and accommodate short-term interferences by allowing parameters to vary with

SUBMITTER: Li Y 

PROVIDER: S-EPMC4574313 | biostudies-literature | 2015 Jul

REPOSITORIES: biostudies-literature