Jñānābha‎, Vol. 51 (1) (2021), (232-238)

APPLYING INVERSE WOMERSLEY PROBLEM FOR INDIRECT DATA INTO GOOD QUALITY INPUT DATA FOR MATHEMATICAL MODELS OF BLOOD FLOW IN HUMAN


By

Anand Bansal

Department of Mathematics Government Engineering College, Ajmer-305001, Rajasthan, India

Email:dranandbansal@ecajmer.ac.in

P. Chaturani

Department of Mathematics (Retd.) IIT Powai, Mumbai - 400 076, India.

Email:pcchaturani@yahoo.com

(Received : August 24, 2020 ; Revised : May 04, 2021; In final form : June 28, 2021)


Abstract

The aim of this investigation is to convert experimental flow rate profiles of human cardiovascular system (CVS) (Hwang and Normann [7], Tsangaris and Stergiopulos [11] and Milnor [15]) i.e. indirect input data to direct input data (pressure gradient) using implicit technique of finite difference in inverse Womersley problem. Further pressure gradient profiles have been presented into mathematical form in terms of Fourier series and shown through Figures. Fourier coefficients of pressure gradient profiles are given through Tables. The computer program has been prepared using the finite difference implicit technique and is presented through Appendix.


2010 Mathematics Subject Classifications: 76Zxx and 76Z05.

Keywords and phrases: Pressure gradient profiles, flow rate profiles, human cardiovascular system (CVS ), blood, Inverse Womersley problem.


[Download full paper]