Biological systems are typically modelled by nonlinear differential equations. In an effort to produce high fidelity representations of the underlying phenomena, these models are usually of high dimension and involve multiple temporal and spatial scales. However, this complexity and associated stiffness makes numerical simulation difficult and mathematical analysis impossible. In order to understand the functionality of these systems, these models are usually approximated by lower dimensional descriptions.
Guaranteed error bounds for structured complexity reduction of biochemical networks
Thomas P. Prescott , Antonis Papachristodoulou
Journal of Theoretical Biology Volume 304, 7 July 2012, Pages 172–182