dorsal/arxiv
View SchemaA stochastic model for heart rate fluctuations
| Authors | Tom A. Kuusela, Tony Shepherd, Jarmo Hietarinta |
|---|---|
| Categories | |
| ArXiv ID | physics/0208103 |
| URL | https://arxiv.org/abs/physics/0208103 |
| DOI | 10.1103/PhysRevE.67.061904 |
Abstract
Normal human heart rate shows complex fluctuations in time, which is natural, since heart rate is controlled by a large number of different feedback control loops. These unpredictable fluctuations have been shown to display fractal dynamics, long-term correlations, and 1/f noise. These characterizations are statistical and they have been widely studied and used, but much less is known about the detailed time evolution (dynamics) of the heart rate control mechanism. Here we show that a simple one-dimensional Langevin-type stochastic difference equation can accurately model the heart rate fluctuations in a time scale from minutes to hours. The model consists of a deterministic nonlinear part and a stochastic part typical to Gaussian noise, and both parts can be directly determined from the measured heart rate data. Studies of 27 healthy subjects reveal that in most cases the deterministic part has a form typically seen in bistable systems: there are two stable fixed points and one unstable one.
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"abstract": "Normal human heart rate shows complex fluctuations in time, which is natural,\nsince heart rate is controlled by a large number of different feedback control\nloops. These unpredictable fluctuations have been shown to display fractal\ndynamics, long-term correlations, and 1/f noise. These characterizations are\nstatistical and they have been widely studied and used, but much less is known\nabout the detailed time evolution (dynamics) of the heart rate control\nmechanism. Here we show that a simple one-dimensional Langevin-type stochastic\ndifference equation can accurately model the heart rate fluctuations in a time\nscale from minutes to hours. The model consists of a deterministic nonlinear\npart and a stochastic part typical to Gaussian noise, and both parts can be\ndirectly determined from the measured heart rate data. Studies of 27 healthy\nsubjects reveal that in most cases the deterministic part has a form typically\nseen in bistable systems: there are two stable fixed points and one unstable\none.",
"arxiv_id": "physics/0208103",
"authors": [
"Tom A. Kuusela",
"Tony Shepherd",
"Jarmo Hietarinta"
],
"categories": [
"physics.med-ph",
"physics.bio-ph",
"physics.data-an",
"q-bio"
],
"doi": "10.1103/PhysRevE.67.061904",
"title": "A stochastic model for heart rate fluctuations",
"url": "https://arxiv.org/abs/physics/0208103"
},
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