1. Mathematical model of blood flow in small blood vessel in the presence of magnetic field Dr. Sarreshtehdari Hojjat raznahan 1/9

2. plasma Red blood cell Blood White blood cell platelets description history model Reference 2/9 attract negative ions Walls of the arteries Proteins(-)

3. 3/9 cardiovascular Magnetic Field Aspirin bio-magnetic RBC description history model Reference

4. Single-phase Homogeneous Newtonian viscous Large arteries 4/9 description history model Reference Non- Newtonian D↓ → µ↓ external body acceleration Two- phase Cell free layer

5. 5/9 Anomalous Suspension of particles in plasma Larger diameter at high shear rate → Newtonian fluid D>1mm → µ independent D D<1mm → µ dependent D description history model Reference

6. Thurston Cell-free plasma (Newtonian fluid) Suspension of all the erythrocytes 6/9 description history model Reference

7. assumptions 1.Newtonian Viscous 2.Incompressible 3.Electrically conducting 4.Steady 5.Laminar 6.Magnetic field Non-constant 7/9 description history model Reference

8. 8/9 description history model Reference

9. 1.R.Bali, U.Awasthi, “mathematical model of blood flow in small blood vessel in the presence of magnetic field, 2011, pp. 264- 269 2.V. P. Srivastava and R.Srivastava, “Particulate Suspension Blood Flow Through a Narrow Catheterized Artery,” Computers & Mathematics with Applications, Vol. 58, No. 2, 2009, pp. 227-238 3.I. H. Chen, “Analysis of an Intensive Magnetic Field on Blood Flow: Part-2,” Journal of Bioelectronics, Vol. 4, No. 1, 1985, pp. 55-61. 4.V. P. Srivastava, “A Theoretical Model for Blood Flow in Small Vessels,” International Journal of Application and Applied Mathematics, Vol. 2, No. 1, 2007, pp. 51-65. 9/9 description history model Reference