Analysis of Oscillatory Behavior of Heart by Using a Novel Neuroevolutionary Approach

Adnan Khan,Ahmad Alhindi,Muhammad Sulaiman,Hosam Alhakami

doi:10.1109/access.2020.2992281

Abstract

This paper aims at the analysis of the VdP heartbeat mathematical model. We have analysed the conditionality of a mathematical model which represents the oscillatory behaviour of the heart. A novel neuroevolutionary approach is chosen to analyse the mathematical model. The characteristics of the cardiac pulse of the heart are examined by considering two major scenarios with sixteen different cases. Artificial neural networks (ANNs) are constructed to obtain the best solutions for the heartbeat model. Unknown weights are finely tuned by a combination of a global search technique the Harris Hawks Optimizer (HHO) and a local search technique the Interior Point Algorithm (IPA). Stable behaviour of solutions obtained by considering different cases demonstrates that the model under consideration is well-conditioned. The accuracy of our novel procedure is established by getting the lowest residual errors in our solution for all cases. Graphical and statistical analysis are added to further elaborate the accuracy of our approach.

Highlights

The main objective of this work is to examine the efficiency of a novel neuroevolutionary approach consisting of hybridized heuristics
HEART BEAT MODELING BASED ON VAN DER POL NONLINEAR OSCILLATOR In this portion of the paper, we describe the essential background of the Van der Pol (VdP) model as presented in equation (1)
(b) Scenario-2: Effects of variations in asymmetric damping terms (v1, v2) on the dynamic heartbeat model. In this scenario we have studied the effects of variation in asymmetric damping parameters (v1, v2) on the heartbeat dynamic model

Summary

Introduction

The main objective of this work is to examine the efficiency of a novel neuroevolutionary approach consisting of hybridized heuristics. Our stochastic procedure is used to analyse the dynamics of nonlinear Van der Pol (VdP) based heartbeat mathematical model of second-order nonlinear ordinary differential equations (ODEs). In terms of nonlinear oscillator [5], [6], the modified form of VdP heart dynamic model is mathematically represented as following: x + α(x −. The Adomian Decomposition Method (ADM) [7], [8], He’s parameter expanding method [9], Laplace Decomposition Method (LDM) [10], method of linearization [11] and Homotopy Analysis Method (HAM) [12], etc All these methods have their own applications, characteristics and limitations, but the stochastic techniques has its own organized potency, because of their strength. Techniques listed above are rarely used for the solution of Van der Pol dynamic model in the field of bio-informatics

Objectives

Methods

Discussion

Conclusion