A mathematical analysis of a model for nutritional exchange in a capillary-tissue exchange system is presented in this paper. This model consist of a single file flow of red blood cell in capillary when diameter of red blood cell is greater than tube diameter, In this case, the cell must be deformed. Due to concentration gradients, the dissolved nutrient in substrate diffuses into surrounding tissue. Introducing approximations of the lubrication theory, squeezing flow of plasma in between the gap between cell and capillary wall have been solved with the help of approximate mathematical techniques. The computational results for concentration of dissolved nutrients, diffusive flux and normal component of velocity have been presented and discussed through graphs. We have also shown the effect of deformation parameter and permeability on these results.
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