Oxygen Transfer In The Pulmonary Capillaries And Flux And Pressure Distributions Along The Pulmonary Blood Circulatory System

Based on a review of the situation and the latest development in the research of oxygen transfer in the pulmonary capillaries and flux and pressure distributions along pulmonary circulatory system, a novel mathematical model of oxygen transfer in the pulmonary capillaries has been established and investigation into the flux and pressure distributions along the pulmonary circulation have been carried out. Oxygen transfer was considered as the well-known process in which oxygen enters the plasma across the respiratory membranes before combines with the haemoglobin (Hbc) within the red blood cells (RBC). The mathematical model of oxygen transfer was established concerning correlation of the oxygen concentration inside the red blood cells with the concentration of haemoglobin, the binding capacity of the haemoglobin and the blood oxygen saturation (Margaria oxygen dissociation curve, ODC). Applying the Lax-Wendroff Finite Difference Method, certain valuable results under different physiological states have been obtained. It was well concluded that the present model could be used to provide useful data to medical researchers as well as doctors.A three-parameter (RLC) mathematical model hi ordinary differential equations for flux and pressure distributions in the pulmonary blood circulatory system in upright position, was established using the physiological model of three branches in the system. The Gear Algorithm that can be used to solve the stiff problems conveniently wasexploited to compute the ordinary equations so that satisfactory results were obtained. The results can simulate the distributions of flux and pressure in the pulmonary circulatory system.