Dynamical properties of Beeler–Reuter cardiac cell model with respect to stimulation parameters

ABSTRACT

The Beeler–Reuter model is one of the oldest models of the cardiac ventricular cell. This model is used in many scientific studies that investigate the propagation of the action potential. In this paper, dynamical properties of Beeler–Reuter model with respect to the frequency and amplitude of the stimulus pulse with the shape of the half-sine period are being investigated. For this purpose bifurcation diagrams, the Fourier spectra, and the 0–1 test for chaos was applied.

KEYWORDS:

• Beeler–Reuter model
• cardiac cell
• chaos
• bifurcation
• Fourier spectra
• the 0–1 test for chaos

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

• 37N30
• 34H10
• 34H20
• 92B05
• 92C30

Disclosure statement

No potential conflict of interest was reported by the author.

ORCID

R. Halfar http://orcid.org/0000-0003-1453-0101

Additional information

Funding

This work was supported by the Ministry of Education, Youth and Sports from the National Programme of Sustainability (NPU II) project ‘IT4Innovations excellence in science – LQ1602’; by the Ministry of Education, Youth and Sports from the Large Infrastructures for Research, Experimental Development and Innovations project – IT4Innovations National Supercomputing Center – LM2015070; by the SGC grant No. SP2018/173 ‘Dynamic systems problems and their implementation on HPC’, VŠB – Technical University of Ostrava, Czech Republic; by the project SV4508811/2101 ‘Biomedical Engineering Systems XIV’, VŠB – Technical University of Ostrava, Czech Republic.