The Physics Society of Iran Iranian Journal of Physics Research 1682-6957 20 1 2020 05 21 Heart failure diagnosis using generalized Langevin equation Heart failure diagnosis using generalized Langevin equation 83 91 1597 10.47176/ijpr.20.1.37851 FA P Manshour Physics Department, Persian Gulf University, Bushehr, Iran 0000-0003-2502-5055 M A Badragheh Physics Department, Persian Gulf University, Bushehr, Iran Journal Article 2019 06 05 The Jump-Diffusion equation is a generalization of the Langevin equation; it has been usually applied to reconstruct discontinuous stochastic processes. In this article, by using this equation, we investigate the electrocardiogram of the electric activity of the heart beat, for three groups of subjects with normal, atrial fibrillation and ventricular arrhythmia. At first, we demonstrate that the time series of electrocardiogram is a discontinuous process that can be modeled by the jump-diffusion equation. Then, by calculating the Kramers-Moyal coefficients related to this equation, we show that there is  a significant difference between the heart dynamics of the  normal subjects and the ones with heart failure exists. Finally, we introduce a measure that may be used for the diagnosis of heart failures. The Jump-Diffusion equation is a generalization of the Langevin equation; it has been usually applied to reconstruct discontinuous stochastic processes. In this article, by using this equation, we investigate the electrocardiogram of the electric activity of the heart beat, for three groups of subjects with normal, atrial fibrillation and ventricular arrhythmia. At first, we demonstrate that the time series of electrocardiogram is a discontinuous process that can be modeled by the jump-diffusion equation. Then, by calculating the Kramers-Moyal coefficients related to this equation, we show that there is  a significant difference between the heart dynamics of the  normal subjects and the ones with heart failure exists. Finally, we introduce a measure that may be used for the diagnosis of heart failures. https://ijpr.iut.ac.ir/article_1597_87ec2f451208df97228105657edb717f.pdf