Formation of Localized Structures in Large Blood Vessels

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Authors / Editors

Tabi, Condrad

Research Areas

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Publication Details

Author list: Kamdem CDB, Dafounanssou O, Alim, Tabi CB, Mohamadou A

Place: VALENCIA

Publication year: 2016

Journal: REVIEWS IN THEORETICAL SCIENCE (2327-1515)

Journal acronym: REV THEOR SCI

Volume number: 4

Issue number: 1

Start page: 72

End page: 84

Number of pages: 13

ISSN: 2327-1515

eISSN: 2327-1523

Languages: English-Great Britain (EN-GB)

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Abstract

We study the propagation of nonlinear waves in a nonlinear quasi-one dimensional model which described blood pressure propagation in large blood vessels. Through the multiple-scale expansion method, we show that the evolution equation of blood pressure waves through the blood vessels are governed by the coupled nonlinear Schrodinger equations with distributed coefficients. Using the sine-cosine method, we construct solitary wave profile solutions of blood pressure. Finally, we reveal some propagation and interaction features of inhomogeneous solitons. By suitably adjusting the type of inhomogeneity, we discuss various soliton dynamics such as periodic distributed amplification, pulse compression etc. The observation of localized structures through the blood vessels suggest physiological features such as peaking and steepening.

Keywords

blood pressure, Blood Vessel, Nonlinear Schrodinger Equations, Soliton

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