Citation

Burke MA, Maini PK, Murray JD. IMA journal of mathematics applied in medicine and biology 1993; 10(2): 97-114.

Copyright

(Copyright © 1993)

DOI

10.1093/imammb/10.2.97

PMID

8370995

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.

Language: en

Keywords

Enzyme Inhibitors; Enzymes; Mathematics; Models, Biological