Soliton Interpretation of Arterial Blood Pressure Waveform

Soliton Interpretation of Arterial Blood Pressure Waveform: Derivation, Verification of Korteweg-de Vries type Dynamics and Application of Nonlinear Fourier Analysis

GEZER, GÜROL (TU Delft Mechanical, Maritime and Materials Engineering; TU Delft Biomechanical Engineering)

Wahls, S. (mentor)
Dankelman, J. (mentor)
Prins, Peter J. (mentor)
Verhaegen, M.H.G. (graduation committee)

Delft University of Technology

Mechanical Engineering | Systems and Control

2019-01-23

As a nonlinear alternative to the linear interpretation of arterial blood pressure waveform, soliton theory has been proposed to model arterial blood pressure by interpreting the pulsatile nature of pressure pulses in the viewpoint of soliton transmission. The existing solitary wave literature supports this interpretation by deriving Korteweg-de Vries (KdV) type dynamics from 1-D Navier-Stokes equations. In this paper, we explain and discuss the derivation of KdV type dynamics for arterial blood pressure from basics of fluid motion. As original work, we provide two verification tests for two of the existing KdV models in three case studies which are considered to be interconnected sections of a simplified arterial network. Finally,
using both KdV models and considering realistic inlet boundary conditions, we study arterial blood pressure waveforms using nonlinear Fourier analysis to extract physical information.

soliton
nonlinear Fourier transform
arterial blood pressure
Korteweg-De vries
cardiovascular modeling
arterial network

http://resolver.tudelft.nl/uuid:9a0ea9aa-f031-45b3-8e47-09ec9a914ab7

Student theses

master thesis

© 2019 GÜROL GEZER