Burke, M. A. and Maini, P. K. and Murray, J. D. (1993) *Suicide substrate reaction-diffusion equations: varying the source.* Journal of Mathematics Applied Medicine & Biology, 10 (2). pp. 97-114.

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## 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.

Item Type: | Article |
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Uncontrolled Keywords: | suicide substrate • reaction-diffusion equations • analytical solution • quasi-steady-state assumption • instantaneous point source • continuous point source |

Subjects: | A - C > Biology and other natural sciences |

Research Groups: | Centre for Mathematical Biology |

ID Code: | 498 |

Deposited By: | Philip Maini |

Deposited On: | 12 Dec 2006 |

Last Modified: | 20 Jul 2009 14:21 |

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