Mathematical modelling on two phase hepatic systolic blood flow through arteries due to malaria

Abstract

The aim of this study is to analyse the mathematical model of the two-phase systolic blood flow in the human hepatic artery during malaria. Wherein, red blood cells and blood plasma make up the two phases. In this study we applied Navier-stoke equation and equation of continuity for cylindrical co-ordinate system and all required equations presented in tensorial form. We used a Newtonian model based on the artery's stress and strain rate, and adopted both an analytical and numerical solution technique. Clinical data for both blood pressure and haemoglobin have been gathered in order to conduct a graphical analysis of the blood pressure drop vs haematocrit. It is clear how the haematocrit affects how much blood pressure drops.