Comparing Mathematical Models for the Rate of Clot Dissolution during Laminar and Turbulent Flows using Reynolds Numbers

Sampson Takyi Appiah, Isaac Kwame Dontwi, Newton A. Amegbey


Blood clots most often occur in people who cannot move around well or who have had recent surgery. When a clot is formed in the artery/vein of an individual, it can lead to a number of severe and deadly conditions such as heart attack or stroke. In this paper, we compared the rate of clot dissolution models for laminar flow and turbulent flow in an artery/vein using various Reynolds numbers. It was concluded that, as Reynolds number increases, the rate of clot dissolution is higher during turbulent flow than during laminar flow.


Non-Occluded Artery/Vein, Reynolds Number, Laminar Flow, Turbulent Flow

Full Text:



Anand, M., Rajagopal, R. and Rajagopal, K. R. (2003), ‘‘A model incorporating some of the mechanical and biochemical factors underlying clot formation and dissolution in flowing blood’’, Journal of Theoretical Medicine, Vol. 5, No. (3-4), pp. 183-218.

Ann, W., Pharm. D., Brenda K. Zierler, R. N., (2009), ‘‘Your Guide to Preventing and Treating Blood Clots’’, Agency for Health are Research and Quality Grant, University of Washington, Seattle, 12pp.

Appiah, S. T. and Adetunde, I. A. and Dontwi, I. K. (2011), “Mathematical Model of Blood Clot in the Human Cardiovascular System”, International Journal of Research in Biochemistry and Biophysics, Vol. 1, No. 2, pp. 9-16.

Appiah, S. T. (2013), “Using Mathematical Relations to Deduce the Rate of Clot Dissolution In The Human Circulatory System”, International Journal of Mathe-matical Archive, vol. 4, No. 7, pp. 221-233.

Migiavacca, F., Yates, R., Pennati, G., Dubini, G., Fumero, R. and de Leval, M. R. (2000), “Calculating blood flow from doppler measurements in the systemic-to-pulmonary artery shunt after the norwood operation: a method based on computational fluid dynamics,” Ultrasound in Medicine and Biology, Vol. 26, pp. 209-219.

Redaelli, A., Boschetti, F. and Inzoli, F. (1997), “The assignment of velocity profiles in finite element simulations of pulsatile flow in arteries,” Computers in Biology and Medicine, Vol. 27, pp. 233-247.

Smedby, R. (1997), ‘‘Arterioscler’’, Arterio-sclerosis Thrombosis and Vascular Biology Journal, Vol. 17, pp. 912-918.


  • There are currently no refbacks.