Linear Analysis of the Corticothalamic Model with Time Delay
Summary The corticothalamic Compact Model with time delay proposed by Kim and Robinson is analyzed focusing on the resting EEG, which can be described by the linear version of the model with white‐noise input, under the assumption of spatial homogeneity and temporal steadiness. After discussing the...
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| Veröffentlicht in: | Electronics and communications in Japan 2014-08, Vol.97 (8), p.32-44 |
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| container_title | Electronics and communications in Japan |
| container_volume | 97 |
| creator | Yamaguchi, Ikuhiro Ogawa, Yutaro Nakao, Hiroya Jimbo, Yasuhiko Kotani, Kiyoshi |
| description | Summary
The corticothalamic Compact Model with time delay proposed by Kim and Robinson is analyzed focusing on the resting EEG, which can be described by the linear version of the model with white‐noise input, under the assumption of spatial homogeneity and temporal steadiness. After discussing the availability and restriction of the model by comparing to the original Pre‐Compact Model, a data analysis method for the resting EEG using the model is presented. The experimental results analyzed by the method suggest that the eye‐closed state compared to the eye‐open state would be characterized by enhanced corticothalamic feedback and depressed cortical excitation. The validity of the Reduced Equations derived in our previous paper is also investigated for the resting EEG, concluding that the Reduced Equations would be available with some restriction for the resting EEG, although the center manifold theory on which the Reduced Equations are based is justified at the edge of linear stability in principle. |
| doi_str_mv | 10.1002/ecj.11581 |
| format | Article |
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The corticothalamic Compact Model with time delay proposed by Kim and Robinson is analyzed focusing on the resting EEG, which can be described by the linear version of the model with white‐noise input, under the assumption of spatial homogeneity and temporal steadiness. After discussing the availability and restriction of the model by comparing to the original Pre‐Compact Model, a data analysis method for the resting EEG using the model is presented. The experimental results analyzed by the method suggest that the eye‐closed state compared to the eye‐open state would be characterized by enhanced corticothalamic feedback and depressed cortical excitation. The validity of the Reduced Equations derived in our previous paper is also investigated for the resting EEG, concluding that the Reduced Equations would be available with some restriction for the resting EEG, although the center manifold theory on which the Reduced Equations are based is justified at the edge of linear stability in principle.</description><identifier>ISSN: 1942-9533</identifier><identifier>EISSN: 1942-9541</identifier><identifier>DOI: 10.1002/ecj.11581</identifier><language>eng</language><publisher>Hoboken: Blackwell Publishing Ltd</publisher><subject>Availability ; Constrictions ; corticothalamic ; Data analysis ; Data processing ; Delay ; EEG ; Homogeneity ; Linear analysis ; Mathematical analysis ; Mathematical models ; power spectrum ; Temporal logic ; Time delay ; Time lag</subject><ispartof>Electronics and communications in Japan, 2014-08, Vol.97 (8), p.32-44</ispartof><rights>2014 Wiley Periodicals, Inc.</rights><rights>Copyright © 2014 by Wiley Periodicals, Inc.</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4121-1391189c699db25002d9fe390c540bee6322ecee410ece4980c2792caedc57523</citedby><cites>FETCH-LOGICAL-c4121-1391189c699db25002d9fe390c540bee6322ecee410ece4980c2792caedc57523</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fecj.11581$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fecj.11581$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,780,784,1417,27924,27925,45574,45575</link.rule.ids></links><search><creatorcontrib>Yamaguchi, Ikuhiro</creatorcontrib><creatorcontrib>Ogawa, Yutaro</creatorcontrib><creatorcontrib>Nakao, Hiroya</creatorcontrib><creatorcontrib>Jimbo, Yasuhiko</creatorcontrib><creatorcontrib>Kotani, Kiyoshi</creatorcontrib><title>Linear Analysis of the Corticothalamic Model with Time Delay</title><title>Electronics and communications in Japan</title><addtitle>Electron Comm Jpn</addtitle><description>Summary
The corticothalamic Compact Model with time delay proposed by Kim and Robinson is analyzed focusing on the resting EEG, which can be described by the linear version of the model with white‐noise input, under the assumption of spatial homogeneity and temporal steadiness. After discussing the availability and restriction of the model by comparing to the original Pre‐Compact Model, a data analysis method for the resting EEG using the model is presented. The experimental results analyzed by the method suggest that the eye‐closed state compared to the eye‐open state would be characterized by enhanced corticothalamic feedback and depressed cortical excitation. The validity of the Reduced Equations derived in our previous paper is also investigated for the resting EEG, concluding that the Reduced Equations would be available with some restriction for the resting EEG, although the center manifold theory on which the Reduced Equations are based is justified at the edge of linear stability in principle.</description><subject>Availability</subject><subject>Constrictions</subject><subject>corticothalamic</subject><subject>Data analysis</subject><subject>Data processing</subject><subject>Delay</subject><subject>EEG</subject><subject>Homogeneity</subject><subject>Linear analysis</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>power spectrum</subject><subject>Temporal logic</subject><subject>Time delay</subject><subject>Time lag</subject><issn>1942-9533</issn><issn>1942-9541</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNp10MtOAjEUBuCJ0UREF77BJG50MdDTy8w0cUMA8YKXEIyJm6aUQygODLZDkLe3irIwcXW6-P6254-iUyANIIQ20cwaACKHvagGktNECg77uzNjh9GR9zNCUi44q0WXfbtA7eLWQhcbb31cTuJqinG7dJU1ZTXVhZ5bE9-XYyzita2m8dDOMe5goTfH0cFEFx5PfmY9er7qDtvXSf-xd9Nu9RPDgUICTALk0qRSjkdUhG-O5QSZJEZwMkJMGaVoEDmQMLjMiaGZpEbj2IhMUFaPzrf3Ll35vkJfqbn1BotCL7BceQUplUxknLFAz_7QWblyYbmgZB5e4gA8qIutMq703uFELZ2da7dRQNRXjyr0qL57DLa5tWtb4OZ_qLrt299Esk1YX-HHLqHdm0ozlgn18tBTd4NXOsg7T-qefQKfgYC4</recordid><startdate>201408</startdate><enddate>201408</enddate><creator>Yamaguchi, Ikuhiro</creator><creator>Ogawa, Yutaro</creator><creator>Nakao, Hiroya</creator><creator>Jimbo, Yasuhiko</creator><creator>Kotani, Kiyoshi</creator><general>Blackwell Publishing Ltd</general><general>Wiley Subscription Services, Inc</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201408</creationdate><title>Linear Analysis of the Corticothalamic Model with Time Delay</title><author>Yamaguchi, Ikuhiro ; Ogawa, Yutaro ; Nakao, Hiroya ; Jimbo, Yasuhiko ; Kotani, Kiyoshi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4121-1391189c699db25002d9fe390c540bee6322ecee410ece4980c2792caedc57523</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Availability</topic><topic>Constrictions</topic><topic>corticothalamic</topic><topic>Data analysis</topic><topic>Data processing</topic><topic>Delay</topic><topic>EEG</topic><topic>Homogeneity</topic><topic>Linear analysis</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>power spectrum</topic><topic>Temporal logic</topic><topic>Time delay</topic><topic>Time lag</topic><toplevel>online_resources</toplevel><creatorcontrib>Yamaguchi, Ikuhiro</creatorcontrib><creatorcontrib>Ogawa, Yutaro</creatorcontrib><creatorcontrib>Nakao, Hiroya</creatorcontrib><creatorcontrib>Jimbo, Yasuhiko</creatorcontrib><creatorcontrib>Kotani, Kiyoshi</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Electronics and communications in Japan</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yamaguchi, Ikuhiro</au><au>Ogawa, Yutaro</au><au>Nakao, Hiroya</au><au>Jimbo, Yasuhiko</au><au>Kotani, Kiyoshi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Linear Analysis of the Corticothalamic Model with Time Delay</atitle><jtitle>Electronics and communications in Japan</jtitle><addtitle>Electron Comm Jpn</addtitle><date>2014-08</date><risdate>2014</risdate><volume>97</volume><issue>8</issue><spage>32</spage><epage>44</epage><pages>32-44</pages><issn>1942-9533</issn><eissn>1942-9541</eissn><abstract>Summary
The corticothalamic Compact Model with time delay proposed by Kim and Robinson is analyzed focusing on the resting EEG, which can be described by the linear version of the model with white‐noise input, under the assumption of spatial homogeneity and temporal steadiness. After discussing the availability and restriction of the model by comparing to the original Pre‐Compact Model, a data analysis method for the resting EEG using the model is presented. The experimental results analyzed by the method suggest that the eye‐closed state compared to the eye‐open state would be characterized by enhanced corticothalamic feedback and depressed cortical excitation. The validity of the Reduced Equations derived in our previous paper is also investigated for the resting EEG, concluding that the Reduced Equations would be available with some restriction for the resting EEG, although the center manifold theory on which the Reduced Equations are based is justified at the edge of linear stability in principle.</abstract><cop>Hoboken</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1002/ecj.11581</doi><tpages>13</tpages></addata></record> |
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| source | Wiley Journals; Business Source Complete |
| subjects | Availability Constrictions corticothalamic Data analysis Data processing Delay EEG Homogeneity Linear analysis Mathematical analysis Mathematical models power spectrum Temporal logic Time delay Time lag |
| title | Linear Analysis of the Corticothalamic Model with Time Delay |
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