A mathematical model for red cell motion in narrow capillary surrounded by tissue

Microcirculation is common to every organ and nurtures various tissues by providing oxygen and nutrients and removing waste products. Hence, the physiology of the microcirculation has profound impact on transport phenomena and nutrient exchange and consequently on human health and diseases. In this paper, we have developed a model of capillary–tissue fluid exchange through squeezing flow of plasma in between the gap between a cell moving through a capillary of smaller diameter than that of the cell Introducing hydrodynamic lubrication theory [A. Cameron, The Principle of Lubrication, Willey, New York, 1966]. We have discussed the results for the resistance to flow for different values of parameters involved in the analysis. The analysis concludes that the permeability of the tissue and velocity of the cell play important role on flow characteristics.