The study of flow rate, resistive impedance of blood flowing through stenosed artery
- 1Department of Mathematics, Maharashtra Institute of Technology, Pune, India
- 2Department of Mathematics, Dr. B. N. Purandare Arts, Commerce and Science College, Lonavla, Pune, India
Res. J. Recent Sci., Volume 6, Issue (2), Pages 30-34, February,2 (2017)
The present paper aims to compute flow rate, resistive impedance of blood flowing through stenosed artery. The flow of blood in constricted artery is studied. The blood is treated as Newtonian fluid. The equations involved in the mathematical model are solved using finite difference approximations. The flow rate is calculated at the beginning and end of arterial segment. It is also calculated in the region of stenosis. Flow rate and resistive impedance are plotted axially for different values of time.
- Young D.F. (1968)., Effect of a time-dependent stenosis on flow through a tube., Journal of engineering for industry, 90(2), 248-254.
- Liepsch D. (2002)., An introduction to biofluid mechanics-basic models and applications., Journal of Biomechanics, 35(4), 415–435.
- Haldar K. (1985)., Effect of the shape of stenosis on the resistance to blood flow through an artery., Bulletin of mathematical biology, 47(4), 545-550.
- Srivastava V.P., Rati Rastogi and Rochana Vishnoi (2010)., A two-layered suspension blood flow through an overlapping stenosis., Computers and Mathematics with Applications, 60(3), 432-441.
- Yakhot A., Leopold Grinberg and Nikolai Nikitin (2005)., Modelling rough stenoses by an immersed-boundary method., Journal of Biomechanics, 38(5), 1115–1127.
- Agarwal R., Katiyar V.K. and Pradhan Prabhakar (2008)., A mathematical modeling of pulsatile flow in carotid artery bifurcation., International Journal of Engineering Science, 46(11), 1147–1156.
- Mazumdar J.N. (2015)., Biofluid mechanics., Biofluid Dynamics and Biofluidics.
- Burton A.C. (1972)., Physiology and Biophysics of the circulation., Year Nook Medical Publisher, Chicago.
- Chakravarty S. and Sannigrahi A. (1999)., A nonlinear Mathematical model of blood flow in a constricted artery experiencing body acceleration., Mathematical and Computer modelling, 29(8), 9-25.
- Yang W.Y., Cao W., Chung T.S. and Morris J. (2005)., Numerical methods using MATLAB., John Wiley and Sons.
- Brice Carnahan, Herbert Luther A. and James Wilkes O. (1969)., Applied numerical methods., John Wiley & Sons, Inc.
- Fung Y.C. (1981)., Biomechanics: Mechanical properties of living tissues., Springer-Verlag New York.