A MATHEMATICAL-MODEL FOR CONCENTRATION OF BLOOD AFFECTING ERYTHROCYTESEDIMENTATION

The rate at which red blood cells fall in vitro is used as a common cl inical test for a number of pathological conditions. But this test bec omes unreliable when one finds flaws in the model under consideration and these doubts raise the issue of aggregation of the red blood cells in concentration whose mathematical analysis is relatively unknown. H owever Huang et al. (Biorheology 8, 157-163, 1971) made some efforts a nd their model resembles certain moving boundary problems. In the pres ent work the modifications to this model have been suggested so far as the concentration of the blood is concerned, it being one of the impo rtant factors to decide ESR (Erythrocyte Sedimentation Rate). In the e quation for nutrient concentration, to be more realistic, we have take n account of transfer of nutrient to the tissue from the blood. The ex act solution has been obtained using Laplace transform. A finite eleme nt technique has been suggested which provides results closer to that of the exact solution. Our results for the blood concentration may be useful for conducting the ESR tests. A special case for an emergent pa tient when nutrient concentration falls down considerably and glucose is provided to improve the condition, has been shown graphically.