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      A mathematical model for the computation of carboxyhaemoglobin in human blood as a function of exposure time.

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          Abstract

          A mathematical model is developed for the carbon monoxide (CO) uptake by the blood by taking into account the molecular diffusion, convection, facilitated diffusion and the non-equilibrium kinetics of CO with haemoglobin. The overall rate for the combination of CO with haemoglobin is derived by including the dissociation of CO from carboxyhaemoglobin (COHb). The resulting coupled system of nonlinear partial differential equation with physiologically relevant initial, entrance and boundary conditions is solved numerically. A fixed point iterative technique is used to deal with nonlinearities. The concentration of COHb in the blood is computed as a function of exposure time and ambient CO concentration. The COHb levels computed from our model are in good agreement with those measured experimentally. Also, results computed from our model give better approximation to the experimental values compared with the results from other models. The time taken by the blood COHb to attain 95% of its equilibrium value is computed. The COHb concentration in the blood increases with the increase in ventilation rate, association rate coefficient of CO with haemoglobin and total haemoglobin content in the blood, and with the decrease in dissociation rate coefficient of CO with haemoglobin and mean capillary blood PO2. It is found that the COHb level in the blood is not affected significantly because of endogenous production of CO in the body under normal condition. However, the effect may be significant in the patients with haemolytic anaemia.

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          Author and article information

          Journal
          Philos. Trans. R. Soc. Lond., B, Biol. Sci.
          Philosophical transactions of the Royal Society of London. Series B, Biological sciences
          The Royal Society
          0962-8436
          0962-8436
          Oct 29 1991
          : 334
          : 1269
          Affiliations
          [1 ] Centre for Atmospheric Sciences, Indian Institute of Technology, Hauz Khas, New Delhi.
          Article
          10.1098/rstb.1991.0103
          1684673
          9bef542f-4bf7-40f6-bd18-4d816fe94364
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