Mathematical models of two phase human hepatic blood flow in venules with special reference to liver cirrhosis

Anil Kumar; V. Upadhyay; A. K. Agrawal; P. N. Pandey

doi:https://doi.org/10.14445/22315373/IJMTT-V52P520

International Journal of Mathematics Trends and Technology

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Volume 52 | Number 2 | Year 2017 | Article Id. IJMTT-V52P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P520

Mathematical models of two phase human hepatic blood flow in venules with special reference to liver cirrhosis

Anil Kumar, V. Upadhyay, A. K. Agrawal, P. N. Pandey

Abstract

Present paper visualize a model of two phased blood flow in hepatic venules, keeping in view the nature of hepatic blood circulationin human body. The viscosity increases in the venules due to formation of rouleaux along axis of red bloodcells. We have applied the Herschel Bulkley Non-Newtonian model in Bio- fluid mechanical setup with thehelp of clinical data in case of Liver Cirrhosis for hemoglobin versus blood pressure. The overall presentationis in tensorial form and the solution technique adopted is analytical as well as numerical. The role ofhematocrit is explicit in the determination of blood pressure in case of Hepatic disease Liver Cirrhosis thegraphical presentation for particular parametric value is much close to the clinical observation.

Keywords

Structure of the Liver, Hematocrit, Liver Cirrhosis, Hepatic Blood Flow, Herschel Bulkley Non-Newtonian model etc.

References

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Citation :

Anil Kumar, V. Upadhyay, A. K. Agrawal, P. N. Pandey, "Mathematical models of two phase human hepatic blood flow in venules with special reference to liver cirrhosis," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 2, pp. 145-151, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P520