A Numerical Approach to the Convolution Equations of a Mathematical Model of Chemotherapy.

by Richard Ernest Bellman, Bella Kotkin


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A discussion of the physical assumption of laminar flow in the large blood vessels. This flow complicates the mathematical model of drug distribution in the body by introducing convolution terms which are difficult computationally. This Memorandum tackles the new equations of the chemotherapy model and presents a method suitable for programming this as well as other biological systems involving equations of this type. The method of differential approximation applied to the convolution equations reduces this model to a system of differential-difference equations that can be solved computationally. 18 pp.

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