A specialized ODE integrator for the efficient computation of parameter sensitivities.

ABSTRACT:

Background

Dynamic mathematical models in the form of systems of ordinary differential equations (ODEs) play an important role in systems biology. For any sufficiently complex model, the speed and accuracy of solving the ODEs by numerical integration is critical. This applies especially to systems identification problems where the parameter sensitivities must be integrated alongside the system variables. Although several very good general purpose ODE solvers exist, few of them compute the parameter sensitivities automatically.

Results

We present a novel integration algorithm that is based on second derivatives and contains other unique features such as improved error estimates. These features allow the integrator to take larger time steps than other methods. In practical app

SUBMITTER: Gonnet P 

PROVIDER: S-EPMC3522561 | biostudies-literature | 2012 May

REPOSITORIES: biostudies-literature