Effects of Antiplatelet Drugs on Blood Flow through Stenosed Blood Vessels

Abstract:

Antiplatelet drugs block the formation of blood clots by preventing the clumping of platelets inside arteries, particularly in individuals who have atherosclerosis of their arteries, or are otherwise prone to develop blood clots in their arteries. Atherosclerosis is a slow disease in which arteries become clogged and hardened. Fat, cholesterol, calcium, and other substances form plaque, which builds up in arteries. Hard plaque narrows the passage that blood flows through. That causes arteries to become hard and inflexible. Soft plaque is more likely to break free from the artery wall and cause a blood clot, which can block blood flow to vital organs. In this paper an attempt has been made to investigate the effects of antiplatelet drugs on blood flow and significance of non-Newtonian viscosity through a stenosed artery using Herschel-Bulkely fluid model. Numerical illustration presented at the end of the paper provides the results for the resistance to flow, apparent viscosity and the wall shear stress through their graphical representations.

• Periodical: Journal of Biomimetics, Biomaterials and Tissue Engineering (Volume 18)
• Pages: 21-27
• DOI: https://doi.org/10.4028/www.scientific.net/JBBTE.18.21
• Online since: December 2013
• Authors: Sapna Ratan Shah
• Keywords: Apparent Viscosity, Herschel-Bulkley Fluid, Non-Newtonian Fluid, Resistance to Flow

References

[1] Bhatt DL, Topol EJ. Scientific and therapeutic advances in antiplatelet therapy. Nature Rev 2003;2:15-28.

[2] Born GVR, Cross MJ. The aggregation of blood platelets. J Physiol 1963;168:178-195.

[3] Cambria-Kiely JA. Possible mechanisms of aspirin resistance. J Thromb Thrombolysis 2002;13:49-56.

[4] Cokelet, G. R., The rheology of human blood. In Biomechanics, Ed. By Y. C. Fung et al., 63, Englewood Cliffs: Prentice-Hall, (1972).

[5] Das, B., P.C. Johnson & A.S. Popel. Effect of non-axisymmetric hematocrit distribution on non-Newtonian blood flow in small tubes. Biorheology, Vol. 35, No.1, pp.69-87, (1998).

DOI: 10.1016/s0006-355x(98)00018-3

[6] Eika C. Inhibition of thrombin induced aggregation of human platelets by heparin. Scand J Hematol 1971;8:216-222.

DOI: 10.1111/j.1600-0609.1971.tb01976.x

[7] Feng, J.,Weinbaum, S., Lubrication theory in highly compressible porous media : the mechanics of skiing from red blood cell to humans. J. Fluid Mech. Vol 422, pp.281-317, (2000).

DOI: 10.1017/s0022112000001725

[8] Fry, D. L., Localizing factor in arteriosclerosis, In atherosclerosis and coronary heart disease, NewYork: Grune Stratton. 85, (1972).

[9] Jilma B. Synergistic antiplatelet effects of clopidogrel and aspirin detected with the PFA-100 in stroke patients. Stroke 2003;34:849-854.

[10] Jung, H., Choil, J. W. and Park, C. G., "Asymmetric flows of non-Newtonian fluids in symmetric stenosis artey" Vol. 16, 2 june pp.101-108 (2004).

[11] K. Haldar, Effects of the shape of stenosis on the resistance to blood flow through an artery. Bull. Mathe. Bio. 47: 545-550. (1985).

DOI: 10.1016/s0092-8240(85)90020-5

[12] Kesmarky G, Marton Zs, Horvath B, Alexy T, Koltai K, Szapary L, Toth K. Examination of the effectiveness of antiplatelet therapy in vascular patients. Eur Heart J 2003;370:S24.

[13] Labarbera, M., Principles of design of fluid transport systems in zoology. Science. 249: 992-1000. (1997).

DOI: 10.1126/science.2396104

[14] Lee, J. S., On the coupling and detection of motion between an artery with a localized lesion and its surrounding tissue. J. Biomech. 7: 403. (1974).

[15] Liepsch, D., "An introduction to biofluid mechanics: basic models and applications", J, Biomech., Vol. 35, pp.415-435, (2002).

DOI: 10.1016/s0021-9290(01)00185-3

[16] Masako, Sugihara-seki & Bingme,M.Fu., Blood flow and permeability in microvessels. Fluid Dynamic Research,Vol. 37,pp.82-1 (2005).

DOI: 10.1016/j.fluiddyn.2004.03.006

[17] Mousa SA. Antiplatelet therapies: from aspirin to GPIIb/IIIa-receptor antagonists and beyond. Drug Discov Today 1999;4:552-561.

DOI: 10.1016/s1359-6446(99)01394-x

[18] Pharmacodynamics. In: Aspirin: Antiplatelet therapy with acetylsalicylic acid. Leverkusen, Bayer 1995:19-36.

[19] Pontrelli, G., "Blood flow through an axisymmetric stenosis", Proc. Inst Mech. Eng, Part H, Eng Med., 215: 1-10. (2001).

DOI: 10.1177/095441190121500101

[20] Sharis PJ, Cannon CP, Loscalzo J. The antiplatelet effects of ticlopidine and clopidogrel. Ann Intern Med 1998;129:394-405.

DOI: 10.7326/0003-4819-129-5-199809010-00009

[21] Shukla, J. B., Parihar, R. S., Gupta, S. P.,Biorheological aspects of blood flow through artery with mild stenosis:Effects of peripheral layer.Biorhe.17:403-410. (1990).

[22] Sugihara- Seki, M., Motion of a sphere in a cylindrical tube filled with a Brinkman medium. Fluid Dyn. Res. Vol 34, pp.59-76 (2003).

DOI: 10.1016/j.fluiddyn.2003.08.007

[23] Tandon, P. N., Nirmala, P., Tewari, M. and Rana, U. S., Analysis of nutritional transport through a capillary: Normal and stenosed. Compu. Math. Appli. 22. 12: 3-13, (1991).

DOI: 10.1016/0898-1221(91)90142-q