Lévy noise improves the electrical activity in a neuron under electromagnetic radiation
As the fluctuations of the internal bioelectricity of nervous system is various and complex, the external electromagnetic radiation induced by magnet flux on membrane can be described by the non-Gaussian type distribution of Lévy noise. Thus, the electrical activities in an improved Hindmarsh-Rose m...
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| description | As the fluctuations of the internal bioelectricity of nervous system is various and complex, the external electromagnetic radiation induced by magnet flux on membrane can be described by the non-Gaussian type distribution of Lévy noise. Thus, the electrical activities in an improved Hindmarsh-Rose model excited by the external electromagnetic radiation of Lévy noise are investigated and some interesting modes of the electrical activities are exhibited. The external electromagnetic radiation of Lévy noise leads to the mode transition of the electrical activities and spatial phase, such as from the rest state to the firing state, from the spiking state to the spiking state with more spikes, and from the spiking state to the bursting state. Then the time points of the firing state versus Lévy noise intensity are depicted. The increasing of Lévy noise intensity heightens the neuron firing. Also the stationary probability distribution functions of the membrane potential of the neuron induced by the external electromagnetic radiation of Lévy noise with different intensity, stability index and skewness papremeters are analyzed. Moreover, through the positive largest Lyapunov exponent, the parameter regions of chaotic electrical mode of the neuron induced by the external electromagnetic radiation of Lévy noise distribution are detected. |
| doi_str_mv | 10.1371/journal.pone.0174330 |
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Thus, the electrical activities in an improved Hindmarsh-Rose model excited by the external electromagnetic radiation of Lévy noise are investigated and some interesting modes of the electrical activities are exhibited. The external electromagnetic radiation of Lévy noise leads to the mode transition of the electrical activities and spatial phase, such as from the rest state to the firing state, from the spiking state to the spiking state with more spikes, and from the spiking state to the bursting state. Then the time points of the firing state versus Lévy noise intensity are depicted. The increasing of Lévy noise intensity heightens the neuron firing. Also the stationary probability distribution functions of the membrane potential of the neuron induced by the external electromagnetic radiation of Lévy noise with different intensity, stability index and skewness papremeters are analyzed. Moreover, through the positive largest Lyapunov exponent, the parameter regions of chaotic electrical mode of the neuron induced by the external electromagnetic radiation of Lévy noise distribution are detected.</description><identifier>ISSN: 1932-6203</identifier><identifier>EISSN: 1932-6203</identifier><identifier>DOI: 10.1371/journal.pone.0174330</identifier><identifier>PMID: 28358824</identifier><language>eng</language><publisher>United States: Public Library of Science</publisher><subject>Action Potentials - physiology ; Applied mathematics ; Behavior ; Bioelectricity ; Biology and Life Sciences ; Computer and Information Sciences ; Computer Simulation ; Distribution functions ; Electric fields ; Electromagnetic Radiation ; Firing ; Firing pattern ; Gaussian distribution ; Information science ; Medicine and Health Sciences ; Membrane potential ; Membrane Potentials - physiology ; Models, Theoretical ; Nervous system ; Neurons ; Neurons - metabolism ; Noise ; Noise intensity ; Phase transitions ; Physical Sciences ; Physics ; Probability distribution ; Probability distribution functions ; Radiation ; Radiation effects ; Simulation ; Spatial distribution ; Spiking ; Stability analysis ; Statistical mechanics ; Studies ; Variables</subject><ispartof>PloS one, 2017-03, Vol.12 (3), p.e0174330-e0174330</ispartof><rights>2017 Wu et al. This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. 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Thus, the electrical activities in an improved Hindmarsh-Rose model excited by the external electromagnetic radiation of Lévy noise are investigated and some interesting modes of the electrical activities are exhibited. The external electromagnetic radiation of Lévy noise leads to the mode transition of the electrical activities and spatial phase, such as from the rest state to the firing state, from the spiking state to the spiking state with more spikes, and from the spiking state to the bursting state. Then the time points of the firing state versus Lévy noise intensity are depicted. The increasing of Lévy noise intensity heightens the neuron firing. Also the stationary probability distribution functions of the membrane potential of the neuron induced by the external electromagnetic radiation of Lévy noise with different intensity, stability index and skewness papremeters are analyzed. Moreover, through the positive largest Lyapunov exponent, the parameter regions of chaotic electrical mode of the neuron induced by the external electromagnetic radiation of Lévy noise distribution are detected.</description><subject>Action Potentials - physiology</subject><subject>Applied mathematics</subject><subject>Behavior</subject><subject>Bioelectricity</subject><subject>Biology and Life Sciences</subject><subject>Computer and Information Sciences</subject><subject>Computer Simulation</subject><subject>Distribution functions</subject><subject>Electric fields</subject><subject>Electromagnetic Radiation</subject><subject>Firing</subject><subject>Firing pattern</subject><subject>Gaussian distribution</subject><subject>Information science</subject><subject>Medicine and Health Sciences</subject><subject>Membrane potential</subject><subject>Membrane Potentials - physiology</subject><subject>Models, Theoretical</subject><subject>Nervous system</subject><subject>Neurons</subject><subject>Neurons - 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Academic</collection><collection>PubMed Central (Full Participant titles)</collection><collection>DOAJ Directory of Open Access Journals</collection><jtitle>PloS one</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wu, Juan</au><au>Xu, Yong</au><au>Ma, Jun</au><au>Lu, Tao</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Lévy noise improves the electrical activity in a neuron under electromagnetic radiation</atitle><jtitle>PloS one</jtitle><addtitle>PLoS One</addtitle><date>2017-03-30</date><risdate>2017</risdate><volume>12</volume><issue>3</issue><spage>e0174330</spage><epage>e0174330</epage><pages>e0174330-e0174330</pages><issn>1932-6203</issn><eissn>1932-6203</eissn><abstract>As the fluctuations of the internal bioelectricity of nervous system is various and complex, the external electromagnetic radiation induced by magnet flux on membrane can be described by the non-Gaussian type distribution of Lévy noise. Thus, the electrical activities in an improved Hindmarsh-Rose model excited by the external electromagnetic radiation of Lévy noise are investigated and some interesting modes of the electrical activities are exhibited. The external electromagnetic radiation of Lévy noise leads to the mode transition of the electrical activities and spatial phase, such as from the rest state to the firing state, from the spiking state to the spiking state with more spikes, and from the spiking state to the bursting state. Then the time points of the firing state versus Lévy noise intensity are depicted. The increasing of Lévy noise intensity heightens the neuron firing. Also the stationary probability distribution functions of the membrane potential of the neuron induced by the external electromagnetic radiation of Lévy noise with different intensity, stability index and skewness papremeters are analyzed. Moreover, through the positive largest Lyapunov exponent, the parameter regions of chaotic electrical mode of the neuron induced by the external electromagnetic radiation of Lévy noise distribution are detected.</abstract><cop>United States</cop><pub>Public Library of Science</pub><pmid>28358824</pmid><doi>10.1371/journal.pone.0174330</doi><orcidid>https://orcid.org/0000-0002-8407-4650</orcidid><oa>free_for_read</oa></addata></record> |
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| subjects | Action Potentials - physiology Applied mathematics Behavior Bioelectricity Biology and Life Sciences Computer and Information Sciences Computer Simulation Distribution functions Electric fields Electromagnetic Radiation Firing Firing pattern Gaussian distribution Information science Medicine and Health Sciences Membrane potential Membrane Potentials - physiology Models, Theoretical Nervous system Neurons Neurons - metabolism Noise Noise intensity Phase transitions Physical Sciences Physics Probability distribution Probability distribution functions Radiation Radiation effects Simulation Spatial distribution Spiking Stability analysis Statistical mechanics Studies Variables |
| title | Lévy noise improves the electrical activity in a neuron under electromagnetic radiation |
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