Spiral waves on a contractile tissue
. In a healthy cardiac tissue, electric waves propagate in the form of a travelling pulse, from the apex to the base, and activate the contraction of the heart. Defects in the propagation can destabilize travelling fronts and originate possible new periodic solutions, as spiral waves. Spiral waves a...
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| Veröffentlicht in: | European physical journal plus 2011-02, Vol.126 (2), p.21, Article 21 |
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| creator | Mesin, L. Ambrosi, D. |
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In a healthy cardiac tissue, electric waves propagate in the form of a travelling pulse, from the apex to the base, and activate the contraction of the heart. Defects in the propagation can destabilize travelling fronts and originate possible new periodic solutions, as spiral waves. Spiral waves are quite stable, but the interplay between currents and strain can distort the periodic pattern, provided the coupling is strong enough. In this paper we investigate the stability of spiral waves on a contractile medium in a non-standard framework, in which the electrical potential dictates the active
strain
(not
stress
) of the muscle. The role of conducting and contracting fibers is included in the model and periodic boundary conditions are adopted. A correlation analysis allows to evaluate numerically the range of stability of the parameters for the spiral waves, depending on the strain of the contracted fibers and on the magnitude of the stretch activated current. |
| doi_str_mv | 10.1140/epjp/i2011-11021-1 |
| format | Article |
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In a healthy cardiac tissue, electric waves propagate in the form of a travelling pulse, from the apex to the base, and activate the contraction of the heart. Defects in the propagation can destabilize travelling fronts and originate possible new periodic solutions, as spiral waves. Spiral waves are quite stable, but the interplay between currents and strain can distort the periodic pattern, provided the coupling is strong enough. In this paper we investigate the stability of spiral waves on a contractile medium in a non-standard framework, in which the electrical potential dictates the active
strain
(not
stress
) of the muscle. The role of conducting and contracting fibers is included in the model and periodic boundary conditions are adopted. A correlation analysis allows to evaluate numerically the range of stability of the parameters for the spiral waves, depending on the strain of the contracted fibers and on the magnitude of the stretch activated current.</description><identifier>ISSN: 2190-5444</identifier><identifier>EISSN: 2190-5444</identifier><identifier>DOI: 10.1140/epjp/i2011-11021-1</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Applied and Technical Physics ; Atomic ; Boundary conditions ; Complex Systems ; Condensed Matter Physics ; Correlation analysis ; Electromagnetic radiation ; Focus Point on Biomedical Applications ; Mathematical and Computational Physics ; Molecular ; Optical and Plasma Physics ; Physics ; Physics and Astronomy ; Regular Article ; Stability analysis ; Theoretical</subject><ispartof>European physical journal plus, 2011-02, Vol.126 (2), p.21, Article 21</ispartof><rights>Società Italiana di Fisica and Springer 2011</rights><rights>Società Italiana di Fisica and Springer 2011.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c319t-e780c1da5b57dc1df45c3e2d0fc3ad16cea6d7552e98f6255f941c8dbaf235b43</citedby><cites>FETCH-LOGICAL-c319t-e780c1da5b57dc1df45c3e2d0fc3ad16cea6d7552e98f6255f941c8dbaf235b43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjp/i2011-11021-1$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/2919972405?pq-origsite=primo$$EHTML$$P50$$Gproquest$$H</linktohtml><link.rule.ids>314,780,784,21388,27924,27925,33744,41488,42557,43805,51319,64385,64389,72469</link.rule.ids></links><search><creatorcontrib>Mesin, L.</creatorcontrib><creatorcontrib>Ambrosi, D.</creatorcontrib><title>Spiral waves on a contractile tissue</title><title>European physical journal plus</title><addtitle>Eur. Phys. J. Plus</addtitle><description>.
In a healthy cardiac tissue, electric waves propagate in the form of a travelling pulse, from the apex to the base, and activate the contraction of the heart. Defects in the propagation can destabilize travelling fronts and originate possible new periodic solutions, as spiral waves. Spiral waves are quite stable, but the interplay between currents and strain can distort the periodic pattern, provided the coupling is strong enough. In this paper we investigate the stability of spiral waves on a contractile medium in a non-standard framework, in which the electrical potential dictates the active
strain
(not
stress
) of the muscle. The role of conducting and contracting fibers is included in the model and periodic boundary conditions are adopted. A correlation analysis allows to evaluate numerically the range of stability of the parameters for the spiral waves, depending on the strain of the contracted fibers and on the magnitude of the stretch activated current.</description><subject>Applied and Technical Physics</subject><subject>Atomic</subject><subject>Boundary conditions</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Correlation analysis</subject><subject>Electromagnetic radiation</subject><subject>Focus Point on Biomedical Applications</subject><subject>Mathematical and Computational Physics</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Regular Article</subject><subject>Stability analysis</subject><subject>Theoretical</subject><issn>2190-5444</issn><issn>2190-5444</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><sourceid>AFKRA</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNp9kM1LxDAQxYMouKz7D3gq6LVuJh9tc5TFL1jwoJ5DmkykpbY1aRX_e7O7gp6cw8w7vPcGfoScA70CEHSNYzuuG0YBcgDK0j4iCwaK5lIIcfxHn5JVjC1NIxQIJRbk8mlsgumyT_OBMRv6zGR26Kdg7NR0mE1NjDOekRNvuoirn7skL7c3z5v7fPt497C53uaWg5pyLCtqwRlZy9Il4YW0HJmj3nLjoLBoCldKyVBVvmBSeiXAVq42nnFZC74kF4feMQzvM8ZJt8Mc-vRSMwVKlUxQmVzs4LJhiDGg12No3kz40kD1DojeAdF7IHoPREMK8UMoJnP_iuG3-p_UN-QjZDg</recordid><startdate>20110201</startdate><enddate>20110201</enddate><creator>Mesin, L.</creator><creator>Ambrosi, D.</creator><general>Springer-Verlag</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope></search><sort><creationdate>20110201</creationdate><title>Spiral waves on a contractile tissue</title><author>Mesin, L. ; Ambrosi, D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c319t-e780c1da5b57dc1df45c3e2d0fc3ad16cea6d7552e98f6255f941c8dbaf235b43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Applied and Technical Physics</topic><topic>Atomic</topic><topic>Boundary conditions</topic><topic>Complex Systems</topic><topic>Condensed Matter Physics</topic><topic>Correlation analysis</topic><topic>Electromagnetic radiation</topic><topic>Focus Point on Biomedical Applications</topic><topic>Mathematical and Computational Physics</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Regular Article</topic><topic>Stability analysis</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mesin, L.</creatorcontrib><creatorcontrib>Ambrosi, D.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><jtitle>European physical journal plus</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mesin, L.</au><au>Ambrosi, D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Spiral waves on a contractile tissue</atitle><jtitle>European physical journal plus</jtitle><stitle>Eur. Phys. J. Plus</stitle><date>2011-02-01</date><risdate>2011</risdate><volume>126</volume><issue>2</issue><spage>21</spage><pages>21-</pages><artnum>21</artnum><issn>2190-5444</issn><eissn>2190-5444</eissn><abstract>.
In a healthy cardiac tissue, electric waves propagate in the form of a travelling pulse, from the apex to the base, and activate the contraction of the heart. Defects in the propagation can destabilize travelling fronts and originate possible new periodic solutions, as spiral waves. Spiral waves are quite stable, but the interplay between currents and strain can distort the periodic pattern, provided the coupling is strong enough. In this paper we investigate the stability of spiral waves on a contractile medium in a non-standard framework, in which the electrical potential dictates the active
strain
(not
stress
) of the muscle. The role of conducting and contracting fibers is included in the model and periodic boundary conditions are adopted. A correlation analysis allows to evaluate numerically the range of stability of the parameters for the spiral waves, depending on the strain of the contracted fibers and on the magnitude of the stretch activated current.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer-Verlag</pub><doi>10.1140/epjp/i2011-11021-1</doi></addata></record> |
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| subjects | Applied and Technical Physics Atomic Boundary conditions Complex Systems Condensed Matter Physics Correlation analysis Electromagnetic radiation Focus Point on Biomedical Applications Mathematical and Computational Physics Molecular Optical and Plasma Physics Physics Physics and Astronomy Regular Article Stability analysis Theoretical |
| title | Spiral waves on a contractile tissue |
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