Burke, M. A. and Maini, P. K. and Murray, J. D. (1993) Suicide substrate reactiondiffusion equations: varying the source. Journal of Mathematics Applied Medicine & Biology, 10 (2). pp. 97114.

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Abstract
The suicide substrate reaction is a model for certain enzymeinhibiting 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 quasisteadystate 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 

Uncontrolled Keywords:  suicide substrate • reactiondiffusion equations • analytical solution • quasisteadystate 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:  29 May 2015 18:23 
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