Mathematical modeling of two phases circulatory system in artery with special reference to hepatitis A

• Published in: AIP conference proceedings Vol. 3100; no. 1
• Main Authors: Khana, Rizwan Ahmad, Agrawal, Anil K., Upadhyay, V., Prajapati, R. N.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Melville American Institute of Physics 11.06.2024
• Subjects: Blood flow; Blood pressure; Circulatory system; Hematocrit; Hemoglobin; Hepatitis A; Interdisciplinary subjects; Mathematical models; Pressure reduction; Two phase flow; Veins & arteries
• ISSN: 0094-243X; 1551-7616
• DOI: 10.1063/5.0210084

Bio-mathematics is an interdisciplinary subject involving of biology and mathematics, which is broadly applicable for the analysis of biological problems. In this paper, we deliver a mathematical modeling of two phases circulatory system in artery with special reference to Hepatitis A. Main purpose of this study has been to develop a mathematical model in hepatic circulatory system and their analysis and verified clinical data of the hepatitis A patient. The blood flow is thought to be a two-phased process. The clinical data of a Hepatitis A patient (blood pressure and hemoglobin) is gathered. To begin, hemoglobin is transformed into hematocrit, and blood pressure is turned to a decline in blood pressure. For the examination of hepatic arteries in Newtonian and non-Newtonian movements, a mathematical model is constructed. The relationship between two-phase blood flow flux and blood pressure reduction in the hepatic artery is established. For various hematocrit levels, the blood pressure decrease is determined. The patient’s states are defined by the slope of the linear relationship between computed blood pressure decrease and hematocrit.