A numerical study of cardiac pacemakers with relaxation oscillators

Resumo

The cardiac pacemaker is an important device for the proper functioning of the human cardiac system.
A modeling to represent the signals from the operation of a pacemaker has been done using a relaxation oscillator,
the Van der Pol oscillator, given by a second order differential equation. This paper aims to demonstrate the
development of a cardiac pacemaker model based on the modified Van der Pol oscillator to simulate it numerically,
in order to analyze the signal in the time domain, as Phase Portrait, and in the frequency domain, as Fourier
Transform and Wavelets Transforms, in order to identify the stability of the oscillator and its response in the
frequency domain. The numerical integrations performed in this paper were done with the fourth order Runge
Kutta method.