Suicide substrate reaction--diffusion equations: varying the source.
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.
Centre for Mathematical Biology, Mathematical Institute, Oxford, UK.
M A
MA
Burke
P K
PK
Maini
J D
JD
Murray
D004791:Enzyme Inhibitors / Q000378:metabolism / Q000494:pharmacology*; D004798:Enzymes / Q000378:metabolism*; D008433:Mathematics; D008954:Models, Biological
D004791:Enzyme Inhibitors; D004798:Enzymes