Burke M A, Maini P K, Murray J D
Centre for Mathematical Biology, Mathematical Institute, Oxford, UK.
IMA J Math Appl Med Biol. 1993;10(2):97-114. doi: 10.1093/imammb/10.2.97.
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.
