Propagation of Nonlinear Pressure Waves in Blood. (6th August 2013)

• Record Type: Journal Article
• Authors: Elgarayhi, A.; El-Shewy, E. K.; Mahmoud, Abeer A.; Elhakem, Ali A.
• Other Names: Vasiev B. Academic Editor.; Yu Z. Academic Editor.
• Is Part Of: ISRN computational biology. Volume 2013(2013)
• Publication Date: 2013-08-06
• Subjects: Computational biology -- Periodicals; Computational biology; Electronic journals; Periodicals; 570.285
• DOI: 10.1155/2013/436267
• Languages: English
• ISSNs: 2314-5420

Abstract

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 tuber f 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.