The Classical Structure Of Blood Biochemistry- A Mathematical Model

DeLand, E.C.
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Rand Corporation
This Memorandum, one of a series on the modeling of blood biochemistry, describes, and examines the consequences of, the classical analysis of human blood. Classically, the macroscopic features of healthy blood--the principal fluid and electrolyte distributions--can be said to be in a hemostatic steady state under the influence of several interacting constraints, e.g., the osmotic effects of the fixed proteins, the (fixed) charge of the proteins and the neutral electrostatic charge condition, and the active cation pumps. Chapter I examines these constraints from the vantage of a theoretical model, and shows them to be sufficient explanation for the steady state; whether they are also necessary has not been demonstrated. Chapter II considers the incorporation of the microscopic properties of the proteins in the model, particularly their buffering behavior. This work is not complete, owing principally to the lack of firm data on hemoglobin. Chapter III discusses the validation of the mathematical model and the consequences of the previous biochemical structural detail, testing the model under various conditions-- changes in,gas pressure and pH, and additions of a few chemical stresses. It compares several validation experiments with the literature. This Memorandum show that, except for certain interesting discrepancies, the model satisfactorily agrees with the literature.
Blood Biochemistry , Mathematical Model , Proteins