Abstract
Mathematical study of human pulse wave was studied with the view to gaining an insight into
physiological situations. Fluid –Structure interaction (FSI) in blood flow is associated with
pressure pulse wave arising from ventricular ejection. Solution of the coupled system of nonlinear
PDEs that arose from the FSI was sought in order to determine pressure. Further study on
pressure pulse waves showed that the Korteweg-de Vries (KdV) equations hold well for the
propagation of nonlinear arterial pulse wave. Solutions of the KdV equation by means of the
hyperbolic tangent (tanh) method and the bilinear method each yielded solitons. The solitons
describe the peaking and steepening characteristics of solitary wave phenomena.
The morphologies of the waves were studied in relation to the length occupied by the waves
(which corresponds to length of arterial segment and stature) and the left ventricular ejection
time (LVET). The study showed that both stature and LVET are independent descriptors of
cardio-vascular state.
EGENTI, N (2021). Mathematical Analysis Of Hemodynamic Pulse Wave In Human Fluid-Structure Interaction. Afribary. Retrieved from https://tracking.afribary.com/works/mathematical-analysis-of-hemodynamic-pulse-wave-in-human-fluid-structure-interaction-1
EGENTI, NZEREM "Mathematical Analysis Of Hemodynamic Pulse Wave In Human Fluid-Structure Interaction" Afribary. Afribary, 13 May. 2021, https://tracking.afribary.com/works/mathematical-analysis-of-hemodynamic-pulse-wave-in-human-fluid-structure-interaction-1. Accessed 24 Nov. 2024.
EGENTI, NZEREM . "Mathematical Analysis Of Hemodynamic Pulse Wave In Human Fluid-Structure Interaction". Afribary, Afribary, 13 May. 2021. Web. 24 Nov. 2024. < https://tracking.afribary.com/works/mathematical-analysis-of-hemodynamic-pulse-wave-in-human-fluid-structure-interaction-1 >.
EGENTI, NZEREM . "Mathematical Analysis Of Hemodynamic Pulse Wave In Human Fluid-Structure Interaction" Afribary (2021). Accessed November 24, 2024. https://tracking.afribary.com/works/mathematical-analysis-of-hemodynamic-pulse-wave-in-human-fluid-structure-interaction-1