The Study of Hemodynamic in Stenosed Human Arteries with Sodium Alginate Nanoparticles as A Drug Carrier


  •   Nitin Sadashiv Bodke

  •   Ignatius Fernandes


Blood flow in stenosed human arteries in the presence of sodium alginate nanoparticles is simulated. Effect of sodium alginate (SA) nanoparticles on velocity, flow rate and resistive impedance to blood flow in stenosed human arteries is studied. The equations governing blood flow are discretized using finite differences. The MATLAB software is used to simulate the discretized equations. Presence of nanoparticles is observed to influence velocity, flow rate and impedance to blood flow. Resistance to flow is observed to be less in the presence of nanoparticles. This nanoparticle drug delivery may be useful for patients having cardiovascular diseases.

Keywords: Nanoparticles, stenosed artery, simulation


Fullstone G, Wood J, Holcombe M, Battaglia G. Modelling the transport of nanoparticles under blood flow using an agent-based approach. Sci. Rep. 2015.

Nadeem S, Ijaz S. Theoretical analysis of metallic nanoparticles on blood flow through tapered elastic artery with overlapping stenosis. Phys. lett. A. 2015; 379: 542-554.

Gentile F, Ferrari M, Decuzzi P. The transport of nanoparticles in blood vessels: The effect of vessel permeability and blood rheology. Ann Biomed Eng. 2008; 36(2): 254-261

Zaman A, Ali N, Ali I. Effects of nanoparticles (Cu (Copper), Silver (Ag)) and slip on unsteady blood flow through a curved stenosed channel with aneurysm. Therm. Sci. Eng. Prog. 2018; 5: 482-491.

Ardahaie SS, Amiri AJ, Amouei A, Hosseinzadeh K, Ganji DD, Investigating the effect of adding nanoparticles to the blood flow in presence of magnetic field in a porous blood arterial. Inform. Med. Unlocked. 2018; 10: 71-81.

Ashfaq A, Sohail N. Shape effect of Cu-nanoparticles in unsteady flow through curved artery with catheterized stenosis. Results Phys. 2017; 7: 677-689.

Dzuliana FJ, Rozaini R, Mohammed A, Norziha, Che-Him, Suliadi S, et al. Unsteady blood flow with nanoparticles through stenosed arteries in the presence of periodic body acceleration. J. Phys. Conf. Ser. 2018; 995.

Ajdari N, Vyas C, Bogan SL, Lwaleed BA, Cousins BG. Gold nanoparticle interactions in human blood: a model evaluation. Nanomedicine: Nanotechnology, Biology and Medicine. 2017; 13: 1531-1542.

Hatami M, Nouri R, Ganji DD. Forced convection analysis for MHD Al2O3–water nanofluid flow over a horizontal plate. J. Mol. Liq. 2013; 187: 294–301.

Hatami M, Ganji DD. Natural convection of sodium alginate (SA) non-Newtonian nanofluid flow between two vertical flat plates by analytical and numerical methods. Case Stud. Therm. Eng. 2014; 2: 14-22.

Chakravarty S, Sannigrahi A. A nonlinear Mathematical model of blood flow in a constricted artery experiencing body acceleration. Mathematical and Computer Modelling. 1999; 29: 9-25.

Sarifuddin, Chakravarty S, Mandal PK, Effect of heat and mass transfer on non-Newtonian flow – Links to atherosclerosis. Int. J. Heat Mass Transf. 2009; 52: 5719–5730.


How to Cite
Bodke, N. S. ., & Fernandes, I. . (2022). The Study of Hemodynamic in Stenosed Human Arteries with Sodium Alginate Nanoparticles as A Drug Carrier . European Journal of Mathematics and Statistics, 3(5), 1–6.