dorsal/arxiv
View SchemaStatistical Properties of the Interbeat Interval Cascade in Human Subjects
| Authors | Fatemeh Ghasemi, J. Peinke, M. Reza Rahimi Tabar, Muhammad Sahimi |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0601051 |
| URL | https://arxiv.org/abs/q-bio/0601051 |
| DOI | 10.1142/S0129183106008704 |
| Journal | International Journal of Modern Physics C (2006) |
Abstract
Statistical properties of interbeat intervals cascade are evaluated by considering the joint probability distribution $P(\Delta x_2,\tau_2;\Delta x_1,\tau_1)$ for two interbeat increments $\Delta x_1$ and $\Delta x_2$ of different time scales $\tau_1$ and $\tau_2$. We present evidence that the conditional probability distribution $P(\Delta x_2,\tau_2|\Delta x_1,\tau_1)$ may obey a Chapman-Kolmogorov equation. The corresponding Kramers-Moyal (KM) coefficients are evaluated. It is shown that while the first and second KM coefficients, i.e., the drift and diffusion coefficients, take on well-defined and significant values, the higher-order coefficients in the KM expansion are very small. As a result, the joint probability distributions of the increments in the interbeat intervals obey a Fokker-Planck equation. The method provides a novel technique for distinguishing the two classes of subjects in terms of the drift and diffusion coefficients, which behave differently for two classes of the subjects, namely, healthy subjects and those with congestive heart failure.
{
"annotation_id": "728b7b50-3e02-4e36-a70a-cab8b1681085",
"date_created": "2026-03-02T18:01:34.887000Z",
"date_modified": "2026-03-02T18:01:34.887000Z",
"file_hash": "d1d1eae0c16c959c36b38c09bdcca958dd98fb534ae604fe6a2dff8ed83d6c05",
"private": false,
"record": {
"abstract": "Statistical properties of interbeat intervals cascade are evaluated by\nconsidering the joint probability distribution $P(\\Delta x_2,\\tau_2;\\Delta\nx_1,\\tau_1)$ for two interbeat increments $\\Delta x_1$ and $\\Delta x_2$ of\ndifferent time scales $\\tau_1$ and $\\tau_2$. We present evidence that the\nconditional probability distribution $P(\\Delta x_2,\\tau_2|\\Delta x_1,\\tau_1)$\nmay obey a Chapman-Kolmogorov equation. The corresponding Kramers-Moyal (KM)\ncoefficients are evaluated. It is shown that while the first and second KM\ncoefficients, i.e., the drift and diffusion coefficients, take on well-defined\nand significant values, the higher-order coefficients in the KM expansion are\nvery small. As a result, the joint probability distributions of the increments\nin the interbeat intervals obey a Fokker-Planck equation. The method provides a\nnovel technique for distinguishing the two classes of subjects in terms of the\ndrift and diffusion coefficients, which behave differently for two classes of\nthe subjects, namely, healthy subjects and those with congestive heart failure.",
"arxiv_id": "q-bio/0601051",
"authors": [
"Fatemeh Ghasemi",
"J. Peinke",
"M. Reza Rahimi Tabar",
"Muhammad Sahimi"
],
"categories": [
"q-bio.QM"
],
"doi": "10.1142/S0129183106008704",
"journal_ref": "International Journal of Modern Physics C (2006)",
"title": "Statistical Properties of the Interbeat Interval Cascade in Human Subjects",
"url": "https://arxiv.org/abs/q-bio/0601051"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "9de08a4d-0dff-4d57-a395-959c4500c1c4",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}