Unique Mathematical Models Of Individual Blood
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Date
1970-05
Authors
Deland, E.C.
Magnier, E.
Maloney, J.V.
Journal Title
Journal ISSN
Volume Title
Publisher
Rand Corporation
Abstract
Description
This research investigates the applicability of mathematical
and computer procedures for the simulation of
theoretically normal human blood biochemistry to the problem
of simulating the unique blood of certain clinical
patients. This Memorandum reviews only briefly the earlier
methods for the steady-state simulation of large biochemical
systems, and then adapts the basic concepts to the problem
of automatically modeling the unique blood of an individual.
The procedures and algorithms are discussed, and, in particular,
it is shown that given sufficient laboratory data
a unique model can automatically be defined.
In thirty separate laboratory experiments, a model of
individual blood was obtained and tested against the real
blood in vitro, under various chemical stresses. Results indicate satisfactory agreement except in cases where time dependent
or kinetic parameters are involved as in potassiumion
uptake by the cells. These results have encouraged the
belief that with subsequent improvement, in particular,
development of procedures based upon minimal data, modeling
procedures will be applicable and useful in a clinical
setting.
Keywords
Human Blood , Mathematical Models , Computer Procedures