Fitting ordinary differential equations to short time course data

DOI10.1098/rsta.2007.2108zbMath1153.37444OpenAlexW2125834060WikidataQ31121778 ScholiaQ31121778MaRDI QIDQ5503920

Daniel Brewer, Michael Hubank, Martino Barenco, Jaroslav Stark, Robin E. Callard

Publication date: 21 January 2009

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2007.2108

zbMATH Keywords

parameter estimationsplinestime seriesordinary differential equationcollocationsystems biology

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Point estimation (62F10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Time series analysis of dynamical systems (37M10) Inverse problems involving ordinary differential equations (34A55) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items

Jaroslav Stark: 1960–2010, Differential models for evolutionary compositions, Fast Sampling of Evolving Systems with Periodic Trajectories, Parameter identification in dynamic systems using the homotopy optimization approach, Linking combinatorial and classical dynamics: Conley index and Morse decompositions, Optimal rate of direct estimators in systems of ordinary differential equations linear in functions of the parameters, A model-based initial guess for estimating parameters in systems of ordinary differential equations, Identification of continuous-time models for nonlinear dynamic systems from discrete data, A Galerkin discretisation-based identification for parameters in nonlinear mechanical systems

Uses Software

• TNT

Cites Work

• Optimization by Simulated Annealing
• Parameter estimation of ordinary differential equations
• A Simplex Method for Function Minimization