Mathematical Modeling of Relations Between the Kinetics of Free Intracellular Calcium and Mechanical Function of Myocardium
The paper describes a mathematical model of cardiac muscle contraction based on the assumption of two types of co-operativity which control the formation of calcium-troponin complexes and on a simplified scheme of free intracellular calcium kinetics. Calcium transients are shown to be different in i...
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| Veröffentlicht in: | Journal of molecular and cellular cardiology 1996-03, Vol.28 (3), p.475-486 |
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| container_end_page | 486 |
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| container_title | Journal of molecular and cellular cardiology |
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| creator | Katsnelson, Leonid B. Markhasin, Vladimir S. |
| description | The paper describes a mathematical model of cardiac muscle contraction based on the assumption of two types of co-operativity which control the formation of calcium-troponin complexes and on a simplified scheme of free intracellular calcium kinetics. Calcium transients are shown to be different in isotonic and isometric conditions, being dependent on initial muscle length as well. Numerical experiments and analysis of the model suggest that calcium uptake by the sarcoplasmic reticulum slows down with an increase in the intracellular concentration of free calcium. This suggestion enables the model to explain the disappearance of load-dependent relaxation observed experimentally at cardiac hypertrophy. |
| doi_str_mv | 10.1006/jmcc.1996.0044 |
| format | Article |
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Calcium transients are shown to be different in isotonic and isometric conditions, being dependent on initial muscle length as well. Numerical experiments and analysis of the model suggest that calcium uptake by the sarcoplasmic reticulum slows down with an increase in the intracellular concentration of free calcium. This suggestion enables the model to explain the disappearance of load-dependent relaxation observed experimentally at cardiac hypertrophy.</description><identifier>ISSN: 0022-2828</identifier><identifier>EISSN: 1095-8584</identifier><identifier>DOI: 10.1006/jmcc.1996.0044</identifier><identifier>PMID: 9011631</identifier><language>eng</language><publisher>England: Elsevier Ltd</publisher><subject>Calcium - metabolism ; Calcium transient ; Calcium-troponin binding ; Computer Simulation ; Heart - physiology ; Hypertrophy ; Isometric Contraction ; Kinetics ; Mathematical model ; Mechanochemical uncoupling ; Models, Cardiovascular ; Muscle contraction and relaxation ; Muscle Relaxation ; Myocardial Contraction ; Myocardium - metabolism ; Sarcoplasmic reticulum ; Space life sciences ; Time Factors ; Troponin - metabolism</subject><ispartof>Journal of molecular and cellular cardiology, 1996-03, Vol.28 (3), p.475-486</ispartof><rights>1996</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c339t-b499ca851df921dde2c3de66303dea4e9ec724d7bcaf274164cc39a50705422b3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0022282896900449$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/9011631$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Katsnelson, Leonid B.</creatorcontrib><creatorcontrib>Markhasin, Vladimir S.</creatorcontrib><title>Mathematical Modeling of Relations Between the Kinetics of Free Intracellular Calcium and Mechanical Function of Myocardium</title><title>Journal of molecular and cellular cardiology</title><addtitle>J Mol Cell Cardiol</addtitle><description>The paper describes a mathematical model of cardiac muscle contraction based on the assumption of two types of co-operativity which control the formation of calcium-troponin complexes and on a simplified scheme of free intracellular calcium kinetics. Calcium transients are shown to be different in isotonic and isometric conditions, being dependent on initial muscle length as well. Numerical experiments and analysis of the model suggest that calcium uptake by the sarcoplasmic reticulum slows down with an increase in the intracellular concentration of free calcium. This suggestion enables the model to explain the disappearance of load-dependent relaxation observed experimentally at cardiac hypertrophy.</description><subject>Calcium - metabolism</subject><subject>Calcium transient</subject><subject>Calcium-troponin binding</subject><subject>Computer Simulation</subject><subject>Heart - physiology</subject><subject>Hypertrophy</subject><subject>Isometric Contraction</subject><subject>Kinetics</subject><subject>Mathematical model</subject><subject>Mechanochemical uncoupling</subject><subject>Models, Cardiovascular</subject><subject>Muscle contraction and relaxation</subject><subject>Muscle Relaxation</subject><subject>Myocardial Contraction</subject><subject>Myocardium - metabolism</subject><subject>Sarcoplasmic reticulum</subject><subject>Space life sciences</subject><subject>Time Factors</subject><subject>Troponin - metabolism</subject><issn>0022-2828</issn><issn>1095-8584</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNp1kE1vFDEMhiMEKtvClRtSTtxmcT7mI0dYsVDRFRKCc5R1PDTVTKYkM6CKP0-mu-LGyZL9-JX9MPZKwFYANG_vRsStMKbZAmj9hG0EmLrq6k4_ZRsAKSvZye45u8z5DgCMVuqCXRgQolFiw_4c3HxLo5sDuoEfJk9DiD_41POvNJTuFDN_T_NvosgLyD-HSIXNK7FPRPw6zskhDcMyuMR3bsCwjNxFzw-Ety4-5u6XiGvWunV4mNAlX6gX7Fnvhkwvz_WKfd9_-Lb7VN18-Xi9e3dToVJmro7aGHRdLXxvpPCeJCpPTaOgFKfJELZS-_aIrpetFo1GVMbV0EKtpTyqK_bmlHufpp8L5dmOIa8nu0jTkm3bCegMyAJuTyCmKedEvb1PYXTpwQqwq2272rarbbvaLguvz8nLcST_Dz_rLfPuNKfy3q9AyWYMFJF8SISz9VP4X_RfG3aP-w</recordid><startdate>19960301</startdate><enddate>19960301</enddate><creator>Katsnelson, Leonid B.</creator><creator>Markhasin, Vladimir S.</creator><general>Elsevier Ltd</general><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>7X8</scope></search><sort><creationdate>19960301</creationdate><title>Mathematical Modeling of Relations Between the Kinetics of Free Intracellular Calcium and Mechanical Function of Myocardium</title><author>Katsnelson, Leonid B. ; Markhasin, Vladimir S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c339t-b499ca851df921dde2c3de66303dea4e9ec724d7bcaf274164cc39a50705422b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><topic>Calcium - metabolism</topic><topic>Calcium transient</topic><topic>Calcium-troponin binding</topic><topic>Computer Simulation</topic><topic>Heart - physiology</topic><topic>Hypertrophy</topic><topic>Isometric Contraction</topic><topic>Kinetics</topic><topic>Mathematical model</topic><topic>Mechanochemical uncoupling</topic><topic>Models, Cardiovascular</topic><topic>Muscle contraction and relaxation</topic><topic>Muscle Relaxation</topic><topic>Myocardial Contraction</topic><topic>Myocardium - metabolism</topic><topic>Sarcoplasmic reticulum</topic><topic>Space life sciences</topic><topic>Time Factors</topic><topic>Troponin - metabolism</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Katsnelson, Leonid B.</creatorcontrib><creatorcontrib>Markhasin, Vladimir S.</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Journal of molecular and cellular cardiology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Katsnelson, Leonid B.</au><au>Markhasin, Vladimir S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Mathematical Modeling of Relations Between the Kinetics of Free Intracellular Calcium and Mechanical Function of Myocardium</atitle><jtitle>Journal of molecular and cellular cardiology</jtitle><addtitle>J Mol Cell Cardiol</addtitle><date>1996-03-01</date><risdate>1996</risdate><volume>28</volume><issue>3</issue><spage>475</spage><epage>486</epage><pages>475-486</pages><issn>0022-2828</issn><eissn>1095-8584</eissn><abstract>The paper describes a mathematical model of cardiac muscle contraction based on the assumption of two types of co-operativity which control the formation of calcium-troponin complexes and on a simplified scheme of free intracellular calcium kinetics. Calcium transients are shown to be different in isotonic and isometric conditions, being dependent on initial muscle length as well. Numerical experiments and analysis of the model suggest that calcium uptake by the sarcoplasmic reticulum slows down with an increase in the intracellular concentration of free calcium. This suggestion enables the model to explain the disappearance of load-dependent relaxation observed experimentally at cardiac hypertrophy.</abstract><cop>England</cop><pub>Elsevier Ltd</pub><pmid>9011631</pmid><doi>10.1006/jmcc.1996.0044</doi><tpages>12</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-2828 |
| ispartof | Journal of molecular and cellular cardiology, 1996-03, Vol.28 (3), p.475-486 |
| issn | 0022-2828 1095-8584 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_78108902 |
| source | MEDLINE; Elsevier ScienceDirect Journals |
| subjects | Calcium - metabolism Calcium transient Calcium-troponin binding Computer Simulation Heart - physiology Hypertrophy Isometric Contraction Kinetics Mathematical model Mechanochemical uncoupling Models, Cardiovascular Muscle contraction and relaxation Muscle Relaxation Myocardial Contraction Myocardium - metabolism Sarcoplasmic reticulum Space life sciences Time Factors Troponin - metabolism |
| title | Mathematical Modeling of Relations Between the Kinetics of Free Intracellular Calcium and Mechanical Function of Myocardium |
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