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Calculation of physiological acid-base parameters in multicompartment systems with application to human blood

Department of Radiology, Magnetic Resonance Imaging Division, Baylor University Medical Center, Dallas, Texas 75246; and Radiology Associates, PA, Little Rock, Arkansas 72205

Submitted 27 May 2003 ; accepted in final form 7 August 2003

A general formalism for calculating parameters describing physiological acid-base balance in single compartments is extended to multicompartment systems and demonstrated for the multicompartment example of human whole blood. Expressions for total titratable base, strong ion difference, change in total titratable base, change in strong ion difference, and change in Van Slyke standard bicarbonate are derived, giving calculated values in agreement with experimental data. The equations for multicompartment systems are found to have the same mathematical interrelationships as those for single compartments, and the relationship of the present formalism to the traditional form of the Van Slyke equation is also demonstrated. The multicompartment model brings the strong ion difference theory to the same quantitative level as the base excess method.

base excess; strong ion difference; Van Slyke equation; Stewart method; blood titration

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