Heart rate variability as determinism with jump stochastic parameters
We use measured heart rate information (RR intervals) to develop a one-dimensional nonlinear map that describes short term deterministic behavior in the data. Our study suggests that there is a stochastic parameter with persistence which causes the heart rate and rhythm system to wander about a bifu...
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| Format: | Article |
| Language: | English |
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AIMS Press
2013-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1253 |
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| author | Jiongxuan Zheng Joseph D. Skufca Erik M. Bollt |
| author_facet | Jiongxuan Zheng Joseph D. Skufca Erik M. Bollt |
| author_sort | Jiongxuan Zheng |
| collection | DOAJ |
| description | We use measured heart rate information (RR intervals) to develop a one-dimensional nonlinear map that describes short term deterministic behavior in the data. Our study suggests that there is a stochastic parameter with persistence which causes the heart rate and rhythm system to wander about a bifurcation point. We propose a modified circle map with a jump process noise term as a model which can qualitatively capture such this behavior of low dimensional transient determinism with occasional (stochastically defined) jumps from one deterministic system to another within a one parameter family of deterministic systems. |
| format | Article |
| id | doaj-art-01181bf080ea4bfd8c747eb0d8dccf67 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-01181bf080ea4bfd8c747eb0d8dccf672025-01-24T02:26:21ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-05-011041253126410.3934/mbe.2013.10.1253Heart rate variability as determinism with jump stochastic parametersJiongxuan Zheng0Joseph D. Skufca1Erik M. Bollt28 Clarkson AVE. P.O.5817, Potsdam, NY 136768 Clarkson AVE. P.O.5817, Potsdam, NY 136768 Clarkson AVE. P.O.5817, Potsdam, NY 13676We use measured heart rate information (RR intervals) to develop a one-dimensional nonlinear map that describes short term deterministic behavior in the data. Our study suggests that there is a stochastic parameter with persistence which causes the heart rate and rhythm system to wander about a bifurcation point. We propose a modified circle map with a jump process noise term as a model which can qualitatively capture such this behavior of low dimensional transient determinism with occasional (stochastically defined) jumps from one deterministic system to another within a one parameter family of deterministic systems.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1253circle mapnext angle mapelectrocardiographyjump process.heart rate variability |
| spellingShingle | Jiongxuan Zheng Joseph D. Skufca Erik M. Bollt Heart rate variability as determinism with jump stochastic parameters Mathematical Biosciences and Engineering circle map next angle map electrocardiography jump process. heart rate variability |
| title | Heart rate variability as determinism with jump stochastic parameters |
| title_full | Heart rate variability as determinism with jump stochastic parameters |
| title_fullStr | Heart rate variability as determinism with jump stochastic parameters |
| title_full_unstemmed | Heart rate variability as determinism with jump stochastic parameters |
| title_short | Heart rate variability as determinism with jump stochastic parameters |
| title_sort | heart rate variability as determinism with jump stochastic parameters |
| topic | circle map next angle map electrocardiography jump process. heart rate variability |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1253 |
| work_keys_str_mv | AT jiongxuanzheng heartratevariabilityasdeterminismwithjumpstochasticparameters AT josephdskufca heartratevariabilityasdeterminismwithjumpstochasticparameters AT erikmbollt heartratevariabilityasdeterminismwithjumpstochasticparameters |