Some mathematical aspects of chemotherapy: I. One-organ models |
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Authors: | Richard Bellman John A Jacquez Robert Kalaba |
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Institution: | (1) The Rand Corporation, Santa Monica, Calif;(2) Sloan-Kettering Institute for Cancer Research and Sloan-Kettering Div., Cornell University Medical College, New York, N. Y.;(3) The Rand Corporation, Santa Monica, Calif |
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Abstract: | A model of the processes occuring in the exchange of a drug between capillary plasma, extracellular space and intracellular
space is developed. This leads to an interesting set of differential differences equations, one of which is an integrodifferential
equation, another a partial differential equation. Under certain conditions, these may be simplified to a set of ordinary
differential equations. The application of Laplace transform techniques to the solution of these equations is discussed. |
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