title: A model for the nutritional transport in capillary-tissue exchange system.
abstract: By introducing the lubrication theory to the squeezing flow of the plasma between the cell and the vessel wall, an analysis of the flow and the nutritional transport within the tissue has been presented in this paper. Cells are assumed to flow in a single file, with axi-symmetric shapes. The concentration profiles of the dissolved nutrients within the tissue have been drawn under the assumption of the uniform distribution in the capillary due to continuous mixing in bolus flows between the 2 adjacent cells in the capillary. The analysis concludes that, in diseased state, the penetration depth for the substance in the tissue decreases and the cells in the deeper region do not get sufficient nutrition for their survival and they die out.
authors.affiliation: Department of Mathematics, University Brunei Darussalam.
authors.forename: P N
authors.initials: PN
authors.lastname: Tandon
authors.forename: M
authors.initials: M
authors.lastname: Misra
authors.forename: A
authors.initials: A
authors.lastname: Chaurasia
mesh_terms: D000465:Algorithms; D001692:Biological Transport / Q000502:physiology; D001783:Blood Flow Velocity / Q000502:physiology; D002196:Capillaries / Q000502:physiology*; D002199:Capillary Permeability / Q000502:physiology; D002470:Cell Survival / Q000502:physiology; D004058:Diffusion; D004912:Erythrocytes / Q000502:physiology*; D018056:Hemorheology; D006801:Humans; D008153:Lubrication; D008833:Microcirculation / Q000502:physiology; D008955:Models, Cardiovascular; D009747:Nutritional Physiological Phenomena; D010949:Plasma / Q000502:physiology*