dorsal/arxiv
View SchemaAnalysis of Non-stationary Data for Heart-Rate Fluctuations in Terms of Drift and Diffusion Coefficients
| Authors | F. Ghasemi, Muhammad Sahimi, J. Peinke, M. Reza Rahimi Tabar |
|---|---|
| Categories | |
| ArXiv ID | physics/0603130 |
| URL | https://arxiv.org/abs/physics/0603130 |
| Journal | Journal of Biological Physcis (2006) |
Abstract
We describe a method for analyzing the stochasticity in the non-stationary data for the beat-to-beat fluctuations in the heart rates of healthy subjects, as well as those with congestive heart failure. The method analyzes the returns time series of the data as a Markov process, and computes the Markov time scale, i.e., the time scale over which the data are a Markov process. We also construct an effective stochastic continuum equation for the return series. We show that the drift and diffusion coefficients, as well as the amplitude of the returns time series for healthy subjects are distinct from those with CHF. Thus, the method may potentially provide a diagnostic tool for distinguishing healthy subjects from those with congestive heart failure, as it can distinguish small differences between the data for the two classes of subjects in terms of well-defined and physically-motivated quantities.
{
"annotation_id": "8c74573b-c7de-430a-aefb-c8399df054c3",
"date_created": "2026-03-02T18:01:07.883000Z",
"date_modified": "2026-03-02T18:01:07.883000Z",
"file_hash": "0683e97930247c36e9649c7794dcab96dc3874e855474320345661322151fe9c",
"private": false,
"record": {
"abstract": "We describe a method for analyzing the stochasticity in the non-stationary\ndata for the beat-to-beat fluctuations in the heart rates of healthy subjects,\nas well as those with congestive heart failure. The method analyzes the returns\ntime series of the data as a Markov process, and computes the Markov time\nscale, i.e., the time scale over which the data are a Markov process. We also\nconstruct an effective stochastic continuum equation for the return series. We\nshow that the drift and diffusion coefficients, as well as the amplitude of the\nreturns time series for healthy subjects are distinct from those with CHF.\nThus, the method may potentially provide a diagnostic tool for distinguishing\nhealthy subjects from those with congestive heart failure, as it can\ndistinguish small differences between the data for the two classes of subjects\nin terms of well-defined and physically-motivated quantities.",
"arxiv_id": "physics/0603130",
"authors": [
"F. Ghasemi",
"Muhammad Sahimi",
"J. Peinke",
"M. Reza Rahimi Tabar"
],
"categories": [
"physics.bio-ph",
"physics.data-an"
],
"journal_ref": "Journal of Biological Physcis (2006)",
"title": "Analysis of Non-stationary Data for Heart-Rate Fluctuations in Terms of Drift and Diffusion Coefficients",
"url": "https://arxiv.org/abs/physics/0603130"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3df2aed2-a293-4ac3-9972-579037a65d88",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}