A Compartmental Model for Oxygen Transport in Brain Microcirculation in the Presence of Blood Substitutes

Cardiomyocyte hypertrophy and degradation of connexin43 through spatially restricted autocrine/paracrine heparin-binding EGF

“…For values Ͻ0.002 m͞s, HB-EGF diffused distances more than two cells away from the origin. Although the actual mass transfer coefficient of ligands in the size range of HB-EGF is unknown, values for O 2 (0.02 m͞s, 0.032 kDa) (19) and LDL (1.7 ϫ 10 Ϫ5 m͞s, 2,000-3,000 kDa) (20) have been reported, and we assumed HB-EGF is in the upper end of that range due to its small size. HB-EGF also binds to EGFRs, the extracellular matrix, and cell surface heparan sulfate proteoglycans.…”

Blood flow mechanics and oxygen transport and delivery in the retinal microcirculation: multiscale mathematical modeling and numerical simulation

“…1: (1) a model for the retinal microcirculation, consisting in a vascular tree network (VTN) formed by arterioles, venules and capillaries organized in a graph. Blood flowing in the VTN is modeled as a two-constituent mixture of Newtonian incompressible fluids, plasma and red blood cells (RBCs) (Ye et al 1993;Sharan and Popel 2002;Liu et al 2009). Oxygen is transported by blood and filters out from the vessel walls into the surrounding tissue, where the amount of permeating solute depends on the tissue metabolic demand (Popel 1989).…”

Insensitivity of cerebral oxygen transport to oxygen affinity of hemoglobin-based oxygen carriers

“…The actual delivery in vivo is more complex and depends on oxygen consumption, hematocrit, vascular geometry, and pre-capillary oxygen loss. More sophisticated models of oxygen transport at the capillary or whole organ level indicate that oxygen delivery in normoxic tissue is relatively insensitive to HBOC P 50 values greater than erythrocyte Hb P 50 values, but that P 50 of HBOC in the range of 15 Torr can increase oxygen delivery under hypoxic conditions [23][24][25].…”