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Mathematical Model of Three Phase Blood Flow in Hepatic Artery During Malaria

https://doi.org/10.51514/JSTR.7.3.2025.31-36

Ram Naresh Yadav, Bhaskar Pandey and V. Upadhyay

ABSTRACT

In this work, we examine the three phases of the human hepatic circulatory subsystem in the context of malaria. Here, we suppose that blood is composed of three phases: red blood cells, white blood cells, and plasma. We have used a non-Newtonian power law model to analyze pathological hemoglobin and blood pressure data. We have employed the Navier-Stokes equation of motion and continuity equation in the cylindrical coordinate system. All necessary mathematical expressions are in tensorial form. We have computed the hepatic artery power index numerically. Ultimately, we have established a date-wise linear link between the reduction in blood pressure and the hematocrit.

Keywords: Hepatic circulation, Three Phases, Non-Newtonian power law, Hemoglobin and
Blood Pressure etc.

Posted in Volume 7, Issue No. 3 (July-September 2025)

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