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Huang Y, Qu J, Li X, Wei F, Zhong J, Wu Y, Cai M, Gao X, Pearson JE, Shuai J. Anti-cross-correlation between the adjacent open and closed durations of Markovian channels. Phys Rev E 2020; 101:012418. [PMID: 32069561 DOI: 10.1103/physreve.101.012418] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/01/2019] [Indexed: 11/07/2022]
Abstract
We show that a non-Markovian behavior can appear in a type of Markovian multimeric channel. Such a channel consists of N independent subunits, and each subunit has at least one open state and more than one closed state. Suppose the open state of the channel is defined as M out of N subunits in the open state with N>M>0. We show that, although the gating dynamics for each subunit between open and closed states is Markovian, the channel can show a memory behavior of weak anti-cross-correlation between the adjacent open and closed durations. Our study indicates that a non-Markovian binary time series can be obtained from a linear superposition of some independent channel subunits with Markovian gating dynamics.
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Affiliation(s)
- Yandong Huang
- College of Computer Engineering, Jimei University, Xiamen 361021, China
| | - Jing Qu
- Department of Physics, Xiamen University, Xiamen 361005, China
| | - Xiang Li
- Department of Physics, Xiamen University, Xiamen 361005, China
| | - Fang Wei
- Department of Physics, Xiamen University, Xiamen 361005, China
| | - Jinjin Zhong
- Department of Physics, Xiamen University, Xiamen 361005, China
| | - Yuning Wu
- Department of Physics, Xiamen University, Xiamen 361005, China
| | - Meichun Cai
- Department of Physics, Xiamen University, Xiamen 361005, China
| | - Xuejuan Gao
- Department of Physics, Xiamen University, Xiamen 361005, China
| | - John E Pearson
- Theoretical Biology and Biophysics, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - Jianwei Shuai
- Department of Physics, Xiamen University, Xiamen 361005, China.,State Key Laboratory of Cellular Stress Biology, Innovation Center for Cell Signaling Network, Xiamen University, Xiamen 361102, China.,National Institute for Data Science in Health and Medicine, Xiamen University, Xiamen 361102, China
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Mozaffarilegha M, Movahed SMS. Long-range temporal correlation in Auditory Brainstem Responses to Spoken Syllable/da/. Sci Rep 2019; 9:1751. [PMID: 30741968 PMCID: PMC6370814 DOI: 10.1038/s41598-018-38215-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/11/2018] [Accepted: 12/20/2018] [Indexed: 11/18/2022] Open
Abstract
The speech auditory brainstem response (sABR) is an objective clinical tool to diagnose particular impairments along the auditory brainstem pathways. We explore the scaling behavior of the brainstem in response to synthetic /da/ stimuli using a proposed pipeline including Multifractal Detrended Moving Average Analysis (MFDMA) modified by Singular Value Decomposition. The scaling exponent confirms that all normal sABR are classified into the non-stationary process. The average Hurst exponent is H = 0:77 ± 0:12 at 68% confidence interval indicating long-range correlation which shows the first universality behavior of sABR. Our findings exhibit that fluctuations in the sABR series are dictated by a mechanism associated with long-term memory of the dynamic of the auditory system in the brainstem level. The q-dependency of h(q) demonstrates that underlying data sets have multifractal nature revealing the second universality behavior of the normal sABR samples. Comparing Hurst exponent of original sABR with the results of the corresponding shuffled and surrogate series, we conclude that its multifractality is almost due to the long-range temporal correlations which are devoted to the third universality. Finally, the presence of long-range correlation which is related to the slow timescales in the subcortical level and integration of information in the brainstem network is confirmed.
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Affiliation(s)
- Marjan Mozaffarilegha
- Ibn-Sina Multidisciplinary laboratory, Department of Physics, Shahid Beheshti University, Tehran, P.O.Box: 1983969411, Iran
| | - S M S Movahed
- Ibn-Sina Multidisciplinary laboratory, Department of Physics, Shahid Beheshti University, Tehran, P.O.Box: 1983969411, Iran. .,Department of Physics, Shahid Beheshti University, Tehran, P.O.Box: 1983969411, Iran.
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