Unique Mathematical Models of Individual Blood

Edward Charles DeLand, E. Magnier, J. V. Maloney

ResearchPublished 1970

Investigates mathematical, computer-based methods of simulating the blood composition of individual clinical patients. Earlier studies developed procedures for constructing models of the respiratory function and acid-base biochemistry of statistically normal human blood. This Memorandum extends these procedures and shows that, with sufficient laboratory data, such a model can be derived from individual patients, and conjectures that the blood's chemical pattern may indicate the patient's physical condition. Such models may be useful for clinical and experimental fluid therapy. The models described simulate the steady-state distribution of chemical species (particularly proteins, electrolytes, and water) between the plasma and red blood cells at one instant, but not the kinetics or time-dependent states of such systems. In 30 separate laboratory experiments, a model of individual blood was tested against real blood in vitro, under various chemical stresses. Results indicate satisfactory agreement.

Document Details

  • Availability: Web Only
  • Year: 1970
  • Pages: 140
  • Document Number: RM-5396-PR

Citation

Chicago Manual of Style

DeLand, Edward Charles, E. Magnier, and J. V. Maloney, Unique Mathematical Models of Individual Blood. Santa Monica, CA: RAND Corporation, 1970. https://www.rand.org/pubs/research_memoranda/RM5396.html.
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.