A mathematical model for the computation of the oxygen dissociation curve in human blood

Bio Systems
M SharanA Aminataei

Abstract

The mathematical relations developed by various researchers for the oxygen dissociation curve are reviewed. Using well-known mechanisms of chemical kinetics of various species in the blood, we have developed a mathematical formula to compute the oxygen dissociation curve in the blood showing its dependence on the pH and PCO2. The functional form, proposed here, is much simpler in comparison to those available in the literature for use in the mathematical modelling of O2 transport in the pulmonary and systemic circulations. In the process, the well-known Hill's equation has been generalized showing an explicit dependence on PCO2 and pH. It is shown that the oxygen dissociation curve computed from our comparatively simpler equation, fits in fairly well with the documented data and shows realistic shift with PCO2 and pH.

References

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Citations

Sep 1, 1992·Medical & Biological Engineering & Computing·S SelvakumarM P Singh
Dec 17, 2009·Annals of Biomedical Engineering·Alessandro BedaAntonio Giannella-Neto
Mar 1, 1992·Mathematical Biosciences·M Sharan, S Selvakumar
Sep 13, 2015·NeuroImage·Jung Hwan Kim, David Ress
May 29, 2003·Journal of Cerebral Blood Flow and Metabolism : Official Journal of the International Society of Cerebral Blood Flow and Metabolism·Romain ValabrègueRobert Costalat
Jun 13, 2013·Journal of Cerebral Blood Flow and Metabolism : Official Journal of the International Society of Cerebral Blood Flow and Metabolism·Jung Hwan KimDavid Ress
Feb 3, 2007·Journal of Science and Medicine in Sport·Giuseppe LippiGian Cesare Guidi
Oct 3, 2006·Medical Engineering & Physics·E LanzaroneM L Costantino
Apr 10, 2004·IEEE Transactions on Bio-medical Engineering·Chiara CornoM L Costantino
Sep 5, 2015·Biomedical Engineering Online·Axel RiedlingerKnut Möller
May 27, 2015·PloS One·Mario RangoNereo Bresolin
Apr 12, 2001·American Journal of Physiology. Heart and Circulatory Physiology·F MigliavaccaM R de Leval

Related Concepts

Eryhem
Hydrogen-Ion Concentration
Mathematics
Total Body Clearance Rate
Dioxygen

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