Journal of Biophysics and Structural Biology
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Article Number - 869F30E10933


Vol.4(1), pp. 1-12 , March 2012
DOI: 10.5897/JBSB11.010
ISSN: 2141-2200



Full Length Research Paper

The use of a continuity equation of fluid mechanics to reduce the abnormality of the cardiovascular system: A control mechanics of the human heart


L. S. Taura1, I. B. Ishiyaku2 and A. H. Kawo3*




1Department of Physics, Bayero University, Kano, Nigeria.

2Department of Physics, Gombe State University, Gombe, Nigeria.

3Department of Biological Sciences, Bayero University, Kano, Nigeria.


Email: ahkawo@yahoo.com






 Accepted: 24 November 2011  Published: 31 March 2012

Copyright © 2012 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0


The paper is aimed at presenting the differential equations for the cardiovascular system with the help of continuity equation of fluid mechanics to reduce the abnormality of the rate of blood flow and variation of blood volume in different parts of the system. The equations are used to explain the Frank-Starling mechanism, which plays an important role in the maintenance of the stability of the distribution of blood in the system. This is a reasonable approach based on mathematical considerations as well as being further motivated by the observations that many physiologists cite optimization as a potential influence in the evolution of biological systems. We present a model as an application in the provision of a basis for developing information on steady state relations and also to study the nature of the controller and key controlling influences. The model further provides an approach for the study of complex physiological control mechanisms of the cardiovascular system and possible pathways of interaction between the cardiovascular and respiratory control systems. The study also provides an easy way for students of both physics and mathematical sciences, with no previous knowledge of human physiology, to understand the basic systems in cardiovascular concept.

 

Key words: Continuity equations, fluid mechanics, cardio-vascular system.

Costanzo LS (2007). Physiology. Williams and Wilkins Edition, pp. 81.
 
Dwivedi G, Dwivedi S (2007). History of medicine: Shuruta – the Clinician – Teacher par Excellence. Indian J. Chest Dis. Allied Sci. 49: 243-244.
 
Falkovic G (2011). Fluid mechanics: A short course for physicists. Cambridge University press, UK, pp. 107.
http://dx.doi.org/10.1017/CBO9780511794353
 
Grodins F (1999). Integrative cardiovascular physiology: A mathematical synthesis of cardiac and blood vessel hemodynamic. Rev. in Biol. Sci., 34: 93–116.
 
Hugh D, Young R, Freedman A (2005). Sears and Zemansky's University Physics, pp. 549-550.
 
Massey B, Ward-Smith J (2005). Mechanics of fluids. 8th edition, pp. 415.
 
Mathias H, Andrew LH (2011). Fluid-Structure interaction in internal physiological flows. Ann. Rev. Fluid Mech., 43:141-162.
http://dx.doi.org/10.1146/annurev-fluid-122109-160703
 
McGeon JG (1996). Physiology. Churchill Livingstone publishers, New York, pp. 44.
 
Mohammadali M, Shojaa R, Shane T, Marios L, Majid K, Farid A, Aaron A, Cohen G, Tubbs RS, Loukas M, Khalil M, Alakbarli F, Cohen-Gardon AA (2009). Vasovagal syncope in the Canon of Avicenna: The first mention of carotid artery hypersensitivity. Int. J. Cardiol., 134(3): 297-301.
http://dx.doi.org/10.1016/j.ijcard.2009.02.035
PMid:19332359
 
Taylor DJ, Green NPO, Stout GW (1997). Biological Science. Third edition. Cambridge University press limited, UK, pp. 984.
 
Uehara M, Sakane, KK (2002). Physics of the cardiovascular system: An intrinsic control mechanism of the human heart. Am. J. Physics 71(4): 338–344.
http://dx.doi.org/10.1119/1.1533053
 
West JB (2008). Ibn Al-Nafis: The pulmonary circulation and the Islamic golden age. J. Appl. Physiol. 105(6):1877-1880.
http://dx.doi.org/10.1152/japplphysiol.91171.2008
PMid:18845773 PMCid:PMC2612469
 
Williams F, Ganong MD (2005). Review of medical physiology. 22nd edition, pp. 572–578.
 
Zemasky SG (2005). Engineering fluid mechanics. New Delhi publishing house, India, pp. 145.

 


APA (2012). The use of a continuity equation of fluid mechanics to reduce the abnormality of the cardiovascular system: A control mechanics of the human heart. Journal of Biophysics and Structural Biology, 4(1), 1-12.
Chicago L. S. Taura, I. B. Ishiyaku and A. H. Kawo. "The use of a continuity equation of fluid mechanics to reduce the abnormality of the cardiovascular system: A control mechanics of the human heart." Journal of Biophysics and Structural Biology 4, no. 1 (2012): 1-12.
MLA L. S. Taura, I. B. Ishiyaku and A. H. Kawo. "The use of a continuity equation of fluid mechanics to reduce the abnormality of the cardiovascular system: A control mechanics of the human heart." Journal of Biophysics and Structural Biology 4.1 (2012): 1-12.
   
DOI 10.5897/JBSB11.010
URL http://academicjournals.org/journal/JBSB/article-abstract/869F30E10933

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