Table of Contents
ISRN Computational Biology
Volume 2013 (2013), Article ID 436267, 5 pages
http://dx.doi.org/10.1155/2013/436267
Research Article

Propagation of Nonlinear Pressure Waves in Blood

Theoretical Physics Group, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Received 2 June 2013; Accepted 11 July 2013

Academic Editors: B. Vasiev and Z. Yu

Copyright © 2013 A. Elgarayhi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The propagation of weakly nonlinear pressure waves in a fluid-filled elastic tube has been investigated. The reductive perturbation method has been employed to derive the Korteweg-de Vries equation for small but finite amplitude. The effect of the final inner radius of the tube on the basic properties of the soliton wave was discussed. Moreover, the conditions of stability and the soliton existence via the potential and the corresponding phase portrait were computed. The applicability of the present investigation to flow problems in arteries is discussed.