A soliton based analysis of arterial blood pressure

Abstract

In this thesis we proposed a model based analysis of arterial blood pressure (ABP). The objective of the thesis is to estimate the characteristics of arterial blood pressure pulse waveform. Blood is considered as an incompressible non viscous uid and artery is an elastic vessel. The arterial blood pressure is modeled by one dimensional Navier- Stokes equation. The analysis of the arterial blood pressure is based on the parameters of the reduced model and the behavior of solitons representing pressure pulse wave in the artery. The peaking and steepening phenomenon of the pulse wave of the arterial blood pressure are interpreted by the increase in amplitude and the decrease in the width of the solitons. The highest amplitude indicates the systolic blood pressure and the lowest indicates the diastolic blood pressure. The behavior and motion of the solitons are displayed using matlab software. The changes in the amplitude of the pulse wave implies the changes in the arterial blood pressure and which can be applicable in clinical diagnosis.