@article{ref1,
title="Suicide substrate reaction--diffusion equations: varying the source",
journal="IMA journal of mathematics applied in medicine and biology",
year="1993",
author="Burke, M. A. and Maini, P. K. and Murray, J. D.",
volume="10",
number="2",
pages="97-114",
abstract="The suicide substrate reaction is a model for certain enzyme-inhibiting drugs. This reaction system is examined assuming that the substrate diffuses freely while the enzyme remains fixed. Two sets of initial and boundary conditions are examined: one modelling an instantaneous point source, akin to an injection of substrate, the other, a continuous point source, akin to a continuing influx, or intravenous drip, of substrate. The quasi-steady-state assumption is applied to obtain analytical solutions for a limited parameter space. Finally, further applications of numerical and analytical experimentation on pharmaceutical mechanisms are described.<p /><p>Language: en</p>",
language="en",
issn="0265-0746",
doi="10.1093/imammb/10.2.97",
url="http://dx.doi.org/10.1093/imammb/10.2.97"
}