Markov modeling of phase singularity interaction effects in human atrial and ventricular fibrillation
Atrial and ventricular fibrillation (AF/VF) are characterized by the repetitive regeneration of topological defects known as phase singularities (PSs). The effect of PS interactions has not been previously studied in human AF and VF. We hypothesized that PS population size would influence the rate o...
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Veröffentlicht in: | Chaos (Woodbury, N.Y.) N.Y.), 2023-06, Vol.33 (6) |
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creator | Jenkins, Evan V. Dharmaprani, Dhani Schopp, Madeline Quah, Jing Xian Tiver, Kathryn Mitchell, Lewis Nash, Martyn P. Clayton, Richard H. Pope, Kenneth Ganesan, Anand N. |
description | Atrial and ventricular fibrillation (AF/VF) are characterized by the repetitive regeneration of topological defects known as phase singularities (PSs). The effect of PS interactions has not been previously studied in human AF and VF. We hypothesized that PS population size would influence the rate of PS formation and destruction in human AF and VF, due to increased inter-defect interaction. PS population statistics were studied in computational simulations (Aliev–Panfilov), human AF and human VF. The influence of inter-PS interactions was evaluated by comparison between directly modeled discrete-time Markov chain (DTMC) transition matrices of the PS population changes, and M/M/∞ birth-death transition matrices of PS dynamics, which assumes that PS formations and destructions are effectively statistically independent events. Across all systems examined, PS population changes differed from those expected with M/M/∞. In human AF and VF, the formation rates decreased slightly with PS population when modeled with the DTMC, compared with the static formation rate expected through M/M/∞, suggesting new formations were being inhibited. In human AF and VF, the destruction rates increased with PS population for both models, with the DTMC rate increase exceeding the M/M/∞ estimates, indicating that PS were being destroyed faster as the PS population grew. In human AF and VF, the change in PS formation and destruction rates as the population increased differed between the two models. This indicates that the presence of additional PS influenced the likelihood of new PS formation and destruction, consistent with the notion of self-inhibitory inter-PS interactions. |
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The effect of PS interactions has not been previously studied in human AF and VF. We hypothesized that PS population size would influence the rate of PS formation and destruction in human AF and VF, due to increased inter-defect interaction. PS population statistics were studied in computational simulations (Aliev–Panfilov), human AF and human VF. The influence of inter-PS interactions was evaluated by comparison between directly modeled discrete-time Markov chain (DTMC) transition matrices of the PS population changes, and M/M/∞ birth-death transition matrices of PS dynamics, which assumes that PS formations and destructions are effectively statistically independent events. Across all systems examined, PS population changes differed from those expected with M/M/∞. In human AF and VF, the formation rates decreased slightly with PS population when modeled with the DTMC, compared with the static formation rate expected through M/M/∞, suggesting new formations were being inhibited. In human AF and VF, the destruction rates increased with PS population for both models, with the DTMC rate increase exceeding the M/M/∞ estimates, indicating that PS were being destroyed faster as the PS population grew. In human AF and VF, the change in PS formation and destruction rates as the population increased differed between the two models. This indicates that the presence of additional PS influenced the likelihood of new PS formation and destruction, consistent with the notion of self-inhibitory inter-PS interactions.</description><identifier>ISSN: 1054-1500</identifier><identifier>EISSN: 1089-7682</identifier><identifier>DOI: 10.1063/5.0141890</identifier><identifier>PMID: 37307158</identifier><identifier>CODEN: CHAOEH</identifier><language>eng</language><publisher>United States: American Institute of Physics</publisher><subject>Atrial Fibrillation ; Cardiac arrhythmia ; Defects ; Heart Atria ; Humans ; Markov Chains ; Population (statistical) ; Population statistics ; Probability ; Singularities ; System effectiveness ; Ventricular Fibrillation</subject><ispartof>Chaos (Woodbury, N.Y.), 2023-06, Vol.33 (6)</ispartof><rights>Author(s)</rights><rights>2023 Crown.</rights><rights>2023 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c378t-c5e2dc7c93827194eee847cc05d43369d2625116c4b33ed3e3bea60fef1e5d53</cites><orcidid>0000-0002-3029-2329 ; 0000-0003-4660-0119 ; 0000-0002-8438-7518 ; 0000-0002-7616-0612 ; 0000-0003-3340-2113 ; 0000-0001-8191-1997 ; 0000-0002-6466-4936 ; 0000-0002-5081-2723 ; 0000-0002-2734-3025 ; 0000-0002-2268-1076</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,790,4498,27901,27902</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/37307158$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Jenkins, Evan V.</creatorcontrib><creatorcontrib>Dharmaprani, Dhani</creatorcontrib><creatorcontrib>Schopp, Madeline</creatorcontrib><creatorcontrib>Quah, Jing Xian</creatorcontrib><creatorcontrib>Tiver, Kathryn</creatorcontrib><creatorcontrib>Mitchell, Lewis</creatorcontrib><creatorcontrib>Nash, Martyn P.</creatorcontrib><creatorcontrib>Clayton, Richard H.</creatorcontrib><creatorcontrib>Pope, Kenneth</creatorcontrib><creatorcontrib>Ganesan, Anand N.</creatorcontrib><title>Markov modeling of phase singularity interaction effects in human atrial and ventricular fibrillation</title><title>Chaos (Woodbury, N.Y.)</title><addtitle>Chaos</addtitle><description>Atrial and ventricular fibrillation (AF/VF) are characterized by the repetitive regeneration of topological defects known as phase singularities (PSs). The effect of PS interactions has not been previously studied in human AF and VF. We hypothesized that PS population size would influence the rate of PS formation and destruction in human AF and VF, due to increased inter-defect interaction. PS population statistics were studied in computational simulations (Aliev–Panfilov), human AF and human VF. The influence of inter-PS interactions was evaluated by comparison between directly modeled discrete-time Markov chain (DTMC) transition matrices of the PS population changes, and M/M/∞ birth-death transition matrices of PS dynamics, which assumes that PS formations and destructions are effectively statistically independent events. Across all systems examined, PS population changes differed from those expected with M/M/∞. In human AF and VF, the formation rates decreased slightly with PS population when modeled with the DTMC, compared with the static formation rate expected through M/M/∞, suggesting new formations were being inhibited. In human AF and VF, the destruction rates increased with PS population for both models, with the DTMC rate increase exceeding the M/M/∞ estimates, indicating that PS were being destroyed faster as the PS population grew. In human AF and VF, the change in PS formation and destruction rates as the population increased differed between the two models. This indicates that the presence of additional PS influenced the likelihood of new PS formation and destruction, consistent with the notion of self-inhibitory inter-PS interactions.</description><subject>Atrial Fibrillation</subject><subject>Cardiac arrhythmia</subject><subject>Defects</subject><subject>Heart Atria</subject><subject>Humans</subject><subject>Markov Chains</subject><subject>Population (statistical)</subject><subject>Population statistics</subject><subject>Probability</subject><subject>Singularities</subject><subject>System effectiveness</subject><subject>Ventricular Fibrillation</subject><issn>1054-1500</issn><issn>1089-7682</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNp90EtLxDAQB_Agiu-DX0ACXlTomkfTpkcRX6B42XvJJhONts2atAv77U3dVUHQUzLDb4bhj9ARJRNKCn4hJoTmVFZkA-1SIqusLCTbHP8iz6ggZAftxfhKCKGMi220w0tOSirkLoJHFd78ArfeQOO6Z-wtnr-oCDimamhUcP0Su66HoHTvfIfBWtB9TD38MrSqw6oPTjVYdQYvoEuFHsewdbPgmkaNQwdoy6omwuH63UfTm-vp1V328HR7f3X5kGleyj7TApjRpa64ZCWtcgCQeak1ESbnvKgMK5igtND5jHMwHPgMVEEsWArCCL6PTldr58G_DxD7unVRQzqiAz_EmkkmBKGcVYme_KKvfghdOm5UeSVZQXlSZyulg48xgK3nwbUqLGtK6jH6WtTr6JM9Xm8cZi2Yb_mVdQLnKxC16z9j-Xfbn3jhww-s58byD99smuU</recordid><startdate>202306</startdate><enddate>202306</enddate><creator>Jenkins, Evan V.</creator><creator>Dharmaprani, Dhani</creator><creator>Schopp, Madeline</creator><creator>Quah, Jing Xian</creator><creator>Tiver, Kathryn</creator><creator>Mitchell, Lewis</creator><creator>Nash, Martyn P.</creator><creator>Clayton, Richard H.</creator><creator>Pope, Kenneth</creator><creator>Ganesan, Anand N.</creator><general>American Institute of Physics</general><scope>AJDQP</scope><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0002-3029-2329</orcidid><orcidid>https://orcid.org/0000-0003-4660-0119</orcidid><orcidid>https://orcid.org/0000-0002-8438-7518</orcidid><orcidid>https://orcid.org/0000-0002-7616-0612</orcidid><orcidid>https://orcid.org/0000-0003-3340-2113</orcidid><orcidid>https://orcid.org/0000-0001-8191-1997</orcidid><orcidid>https://orcid.org/0000-0002-6466-4936</orcidid><orcidid>https://orcid.org/0000-0002-5081-2723</orcidid><orcidid>https://orcid.org/0000-0002-2734-3025</orcidid><orcidid>https://orcid.org/0000-0002-2268-1076</orcidid></search><sort><creationdate>202306</creationdate><title>Markov modeling of phase singularity interaction effects in human atrial and ventricular fibrillation</title><author>Jenkins, Evan V. ; Dharmaprani, Dhani ; Schopp, Madeline ; Quah, Jing Xian ; Tiver, Kathryn ; Mitchell, Lewis ; Nash, Martyn P. ; Clayton, Richard H. ; Pope, Kenneth ; Ganesan, Anand N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c378t-c5e2dc7c93827194eee847cc05d43369d2625116c4b33ed3e3bea60fef1e5d53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Atrial Fibrillation</topic><topic>Cardiac arrhythmia</topic><topic>Defects</topic><topic>Heart Atria</topic><topic>Humans</topic><topic>Markov Chains</topic><topic>Population (statistical)</topic><topic>Population statistics</topic><topic>Probability</topic><topic>Singularities</topic><topic>System effectiveness</topic><topic>Ventricular Fibrillation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jenkins, Evan V.</creatorcontrib><creatorcontrib>Dharmaprani, Dhani</creatorcontrib><creatorcontrib>Schopp, Madeline</creatorcontrib><creatorcontrib>Quah, Jing Xian</creatorcontrib><creatorcontrib>Tiver, Kathryn</creatorcontrib><creatorcontrib>Mitchell, Lewis</creatorcontrib><creatorcontrib>Nash, Martyn P.</creatorcontrib><creatorcontrib>Clayton, Richard H.</creatorcontrib><creatorcontrib>Pope, Kenneth</creatorcontrib><creatorcontrib>Ganesan, Anand N.</creatorcontrib><collection>AIP Open Access Journals</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>MEDLINE - Academic</collection><jtitle>Chaos (Woodbury, N.Y.)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jenkins, Evan V.</au><au>Dharmaprani, Dhani</au><au>Schopp, Madeline</au><au>Quah, Jing Xian</au><au>Tiver, Kathryn</au><au>Mitchell, Lewis</au><au>Nash, Martyn P.</au><au>Clayton, Richard H.</au><au>Pope, Kenneth</au><au>Ganesan, Anand N.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Markov modeling of phase singularity interaction effects in human atrial and ventricular fibrillation</atitle><jtitle>Chaos (Woodbury, N.Y.)</jtitle><addtitle>Chaos</addtitle><date>2023-06</date><risdate>2023</risdate><volume>33</volume><issue>6</issue><issn>1054-1500</issn><eissn>1089-7682</eissn><coden>CHAOEH</coden><abstract>Atrial and ventricular fibrillation (AF/VF) are characterized by the repetitive regeneration of topological defects known as phase singularities (PSs). The effect of PS interactions has not been previously studied in human AF and VF. We hypothesized that PS population size would influence the rate of PS formation and destruction in human AF and VF, due to increased inter-defect interaction. PS population statistics were studied in computational simulations (Aliev–Panfilov), human AF and human VF. The influence of inter-PS interactions was evaluated by comparison between directly modeled discrete-time Markov chain (DTMC) transition matrices of the PS population changes, and M/M/∞ birth-death transition matrices of PS dynamics, which assumes that PS formations and destructions are effectively statistically independent events. Across all systems examined, PS population changes differed from those expected with M/M/∞. In human AF and VF, the formation rates decreased slightly with PS population when modeled with the DTMC, compared with the static formation rate expected through M/M/∞, suggesting new formations were being inhibited. In human AF and VF, the destruction rates increased with PS population for both models, with the DTMC rate increase exceeding the M/M/∞ estimates, indicating that PS were being destroyed faster as the PS population grew. In human AF and VF, the change in PS formation and destruction rates as the population increased differed between the two models. 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subjects | Atrial Fibrillation Cardiac arrhythmia Defects Heart Atria Humans Markov Chains Population (statistical) Population statistics Probability Singularities System effectiveness Ventricular Fibrillation |
title | Markov modeling of phase singularity interaction effects in human atrial and ventricular fibrillation |
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