Propagation of Nonlinear Pressure Waves in Blood | Zendy

Ahmed Elgarayhi | Zendy; Ε. K. El-Shewy | Zendy; Abeer A. Mahmoud | Zendy; Ali A. Elhakem | Zendy

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Propagation of Nonlinear Pressure Waves in Blood

Author(s) -

Ahmed Elgarayhi,

Ε. K. El-Shewy,

Abeer A. Mahmoud,

Ali A. Elhakem

Publication year - 2013

Publication title -

isrn computational biology

Language(s) - English

Resource type - Journals

ISSN - 2314-5420

DOI - 10.1155/2013/436267

Subject(s) - phase portrait , nonlinear system , soliton , amplitude , mechanics , perturbation (astronomy) , physics , radius , classical mechanics , bifurcation , optics , quantum mechanics , computer security , computer science

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.

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