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

Richard Ernest Bellman, Bella Kotkin

ResearchPublished 1963

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.

Order a Print Copy

Format
Paperback
Page count
18 pages
List Price
$20.00
Buy link
Add to Cart

Document Details

  • Availability: Available
  • Year: 1963
  • Print Format: Paperback
  • Paperback Pages: 18
  • Paperback Price: $20.00
  • Document Number: RM-3716-NIH

Citation

RAND Style Manual
Bellman, Richard Ernest and Bella Kotkin, A Numerical Approach to the Convolution Equations of a Mathematical Model of Chemotherapy. RAND Corporation, RM-3716-NIH, 1963. As of September 24, 2024: https://www.rand.org/pubs/research_memoranda/RM3716.html
Chicago Manual of Style
Bellman, Richard Ernest and Bella Kotkin, A Numerical Approach to the Convolution Equations of a Mathematical Model of Chemotherapy. Santa Monica, CA: RAND Corporation, 1963. https://www.rand.org/pubs/research_memoranda/RM3716.html. Also available in print form.
BibTeX RIS

This publication is part of the RAND research memorandum series. The research memorandum series, a product of RAND from 1948 to 1973, included working papers meant to report current results of RAND research to appropriate audiences.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.