Stochastic calcium oscillations in the dynamical Li-Rinzel model

Stochastic calcium oscillations in the dynamical Li-Rinzel model

In this paper, we study a stochastic variant of the Li-Rinzel model of calcium oscillations. A bifurcation analysis of the model is carried out, parametric zones of equilibrium and oscillatory regimes are described, basins of their attraction and separatrices detaching these basins are constructed....

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Bashkirtseva, Irina, Stepanova, Anna, Tsvetkov, Ivan
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Basins
Calcium
Oscillations
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue 1
container_start_page
container_title
container_volume 2466
creator Bashkirtseva, Irina
Stepanova, Anna
Tsvetkov, Ivan
description In this paper, we study a stochastic variant of the Li-Rinzel model of calcium oscillations. A bifurcation analysis of the model is carried out, parametric zones of equilibrium and oscillatory regimes are described, basins of their attraction and separatrices detaching these basins are constructed. A probabilistic description of the frequency and amplitude characteristics of calcium oscillations under conditions of parametric random disturbances is given. The phenomena of stochastic excitability and generation of oscillations of mixed modes are described.
doi_str_mv 10.1063/5.0089387
format Conference Proceeding
fullrecord <record><control><sourceid>proquest_scita</sourceid><recordid>TN_cdi_scitation_primary_10_1063_5_0089387</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2675062294</sourcerecordid><originalsourceid>FETCH-LOGICAL-p133t-e0b73c50ad5028d1862b50acd097c12d108df0fd197fd0f0bc3f16f5d413a86e3</originalsourceid><addsrcrecordid>eNotkEtLAzEcxIMouFYPfoOAN2HrP8nmsTelWBUKgg_wFrJ50JR91E16qJ_e1fY0DPyYYQahawJzAoLd8TmAqpmSJ6ggnJNSCiJOUQFQVyWt2Nc5ukhpA0BrKVWB7t_zYNcm5WixNa2Nuw4Pyca2NTkOfcKxx3ntsdv3posTgVexfIv9j29xNzjfXqKzYNrkr446Q5_Lx4_Fc7l6fXpZPKzKLWEslx4aySwH4zhQ5YgStJmcdVBLS6gjoFyA4Egtg4MAjWWBiMBdRZhRwrMZujnkbsfhe-dT1pthN_ZTpaZCchCU1tVE3R6oaUL-X6C3Y-zMuNcE9N9DmuvjQ-wX5uhXoQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>conference_proceeding</recordtype><pqid>2675062294</pqid></control><display><type>conference_proceeding</type><title>Stochastic calcium oscillations in the dynamical Li-Rinzel model</title><source>AIP Journals Complete</source><creator>Bashkirtseva, Irina ; Stepanova, Anna ; Tsvetkov, Ivan</creator><contributor>Smirnov, Andrey A. ; Narkhov, Evgeniy D. ; Volkovich, Vladimir A. ; Kashin, Ilya V.</contributor><creatorcontrib>Bashkirtseva, Irina ; Stepanova, Anna ; Tsvetkov, Ivan ; Smirnov, Andrey A. ; Narkhov, Evgeniy D. ; Volkovich, Vladimir A. ; Kashin, Ilya V.</creatorcontrib><description>In this paper, we study a stochastic variant of the Li-Rinzel model of calcium oscillations. A bifurcation analysis of the model is carried out, parametric zones of equilibrium and oscillatory regimes are described, basins of their attraction and separatrices detaching these basins are constructed. A probabilistic description of the frequency and amplitude characteristics of calcium oscillations under conditions of parametric random disturbances is given. The phenomena of stochastic excitability and generation of oscillations of mixed modes are described.</description><identifier>ISSN: 0094-243X</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/5.0089387</identifier><identifier>CODEN: APCPCS</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Basins ; Calcium ; Oscillations</subject><ispartof>AIP conference proceedings, 2022, Vol.2466 (1)</ispartof><rights>Author(s)</rights><rights>2022 Author(s). Published by AIP Publishing.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/acp/article-lookup/doi/10.1063/5.0089387$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>309,310,314,780,784,789,790,794,4512,23930,23931,25140,27924,27925,76384</link.rule.ids></links><search><contributor>Smirnov, Andrey A.</contributor><contributor>Narkhov, Evgeniy D.</contributor><contributor>Volkovich, Vladimir A.</contributor><contributor>Kashin, Ilya V.</contributor><creatorcontrib>Bashkirtseva, Irina</creatorcontrib><creatorcontrib>Stepanova, Anna</creatorcontrib><creatorcontrib>Tsvetkov, Ivan</creatorcontrib><title>Stochastic calcium oscillations in the dynamical Li-Rinzel model</title><title>AIP conference proceedings</title><description>In this paper, we study a stochastic variant of the Li-Rinzel model of calcium oscillations. A bifurcation analysis of the model is carried out, parametric zones of equilibrium and oscillatory regimes are described, basins of their attraction and separatrices detaching these basins are constructed. A probabilistic description of the frequency and amplitude characteristics of calcium oscillations under conditions of parametric random disturbances is given. The phenomena of stochastic excitability and generation of oscillations of mixed modes are described.</description><subject>Basins</subject><subject>Calcium</subject><subject>Oscillations</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2022</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNotkEtLAzEcxIMouFYPfoOAN2HrP8nmsTelWBUKgg_wFrJ50JR91E16qJ_e1fY0DPyYYQahawJzAoLd8TmAqpmSJ6ggnJNSCiJOUQFQVyWt2Nc5ukhpA0BrKVWB7t_zYNcm5WixNa2Nuw4Pyca2NTkOfcKxx3ntsdv3posTgVexfIv9j29xNzjfXqKzYNrkr446Q5_Lx4_Fc7l6fXpZPKzKLWEslx4aySwH4zhQ5YgStJmcdVBLS6gjoFyA4Egtg4MAjWWBiMBdRZhRwrMZujnkbsfhe-dT1pthN_ZTpaZCchCU1tVE3R6oaUL-X6C3Y-zMuNcE9N9DmuvjQ-wX5uhXoQ</recordid><startdate>20220610</startdate><enddate>20220610</enddate><creator>Bashkirtseva, Irina</creator><creator>Stepanova, Anna</creator><creator>Tsvetkov, Ivan</creator><general>American Institute of Physics</general><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20220610</creationdate><title>Stochastic calcium oscillations in the dynamical Li-Rinzel model</title><author>Bashkirtseva, Irina ; Stepanova, Anna ; Tsvetkov, Ivan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p133t-e0b73c50ad5028d1862b50acd097c12d108df0fd197fd0f0bc3f16f5d413a86e3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Basins</topic><topic>Calcium</topic><topic>Oscillations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bashkirtseva, Irina</creatorcontrib><creatorcontrib>Stepanova, Anna</creatorcontrib><creatorcontrib>Tsvetkov, Ivan</creatorcontrib><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bashkirtseva, Irina</au><au>Stepanova, Anna</au><au>Tsvetkov, Ivan</au><au>Smirnov, Andrey A.</au><au>Narkhov, Evgeniy D.</au><au>Volkovich, Vladimir A.</au><au>Kashin, Ilya V.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Stochastic calcium oscillations in the dynamical Li-Rinzel model</atitle><btitle>AIP conference proceedings</btitle><date>2022-06-10</date><risdate>2022</risdate><volume>2466</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><coden>APCPCS</coden><abstract>In this paper, we study a stochastic variant of the Li-Rinzel model of calcium oscillations. A bifurcation analysis of the model is carried out, parametric zones of equilibrium and oscillatory regimes are described, basins of their attraction and separatrices detaching these basins are constructed. A probabilistic description of the frequency and amplitude characteristics of calcium oscillations under conditions of parametric random disturbances is given. The phenomena of stochastic excitability and generation of oscillations of mixed modes are described.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0089387</doi><tpages>6</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0094-243X
ispartof AIP conference proceedings, 2022, Vol.2466 (1)
issn 0094-243X
1551-7616
language eng
recordid cdi_scitation_primary_10_1063_5_0089387
source AIP Journals Complete
subjects Basins
Calcium
Oscillations
title Stochastic calcium oscillations in the dynamical Li-Rinzel model
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-22T07%3A33%3A49IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_scita&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=proceeding&rft.atitle=Stochastic%20calcium%20oscillations%20in%20the%20dynamical%20Li-Rinzel%20model&rft.btitle=AIP%20conference%20proceedings&rft.au=Bashkirtseva,%20Irina&rft.date=2022-06-10&rft.volume=2466&rft.issue=1&rft.issn=0094-243X&rft.eissn=1551-7616&rft.coden=APCPCS&rft_id=info:doi/10.1063/5.0089387&rft_dat=%3Cproquest_scita%3E2675062294%3C/proquest_scita%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2675062294&rft_id=info:pmid/&rfr_iscdi=true