Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2018
  • Volume: 10
  • Issue: 2

Mathematical form of In-Vivo pressure gradient profiles-input data for mathematical models of human CVS

  • Author:
  • Anand Bansal1, P. R. Sharma2, P. Chaturani3
  • Total Page Count: 8
  • Page Number: 383 to 390

1Department of Mathematics, Government Engineering College, Ajmer (Rajasthan) India, E-mail: dranandbansal@ecajmer.ac.in

2Department of Mathematics (Retd.), University of Rajasthan, Jaipur (Rajasthan) India

3Department of Mathematics (Retd.), IIT Powai, Mumbai (Maharashtra) India

Online published on 6 October, 2018.

Abstract

In this Paper, it is first shown why the input data used in the literature is too ideal or incorrect. Using Fourier series and numerical integration methods, for pulsatile flow of blood, in-vivo experimental data (pressure gradient profiles) for two different locations of human cardiovascular system (CVS) have been converted into a mathematical form that could be readily used as input data for such mathematical models. A comparison of experimental and mathematical profiles has been made and it is observed that these are in a good agreement (error less than 10%).