Previous work has in the main concentrated on isolated, spatially uniform reactions. We have investigated the effects of substrate input and diffusion on this formulations, in particular, on the nature and validity of the quasi-stready state assumption (QSSA) for diffusion-driven fronts.
We have shown that provided the Michaelis-Menten constant is sufficiently large then an appropriate QSSA is valid at all points in space and for all times other than in a region which closely tracks the front itself. Moreover, this region shrinks with time.
For more information, please contact Graeme Boswell.