Modeling the dynamic features of the electrogenic Na,K pump of cardiac cells
The purpose of this paper is to examine the dynamic features of the electrogenic Na,K pump of cardiac cells, based on a comparative analysis of a mechanistic model and an ad hoc mathematical description of the Na,K pump. Both representations are incorporated into a modified version of the Beeler-Reu...
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| Veröffentlicht in: | Journal of theoretical biology 1992-02, Vol.154 (3), p.335-358 |
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| creator | Lemieux, D.R. Roberge, F.A. Joly, D. |
| description | The purpose of this paper is to examine the dynamic features of the electrogenic Na,K pump of cardiac cells, based on a comparative analysis of a mechanistic model and an
ad hoc mathematical description of the Na,K pump. Both representations are incorporated into a modified version of the Beeler-Reuter model for the ventricular membrane, and the resulting action potential models are studied under conditions of repetitive stimulation at steady rates between 0 and 3 Hz. The two Na,K pump representations have nearly identical steady-state characteristics of sensitivity to internal Na
+ concentration, external K
+ concentration, and membrane potential. Rapid voltage-dependent transient pump currents are present in the mechanistic model, while they are absent in the
ad hoc mathematical description we used. The stimulation results show that a sizable peak of pump current caused by the action potential upstroke in the mechanistic model affects phase 1 repolarization, and that this effect is relatively independent of the stimulation rate. The pump current generated by our
ad hoc mathematical description is constant during the action potential and does not affect directly the repolarization time course. While the two Na,K pump models show similar pumping efficiency at low stimulation rates, the mechanistic pump is more efficient at high rates of activity. In essence, the distinctive features of the mechanistic model are due to an energy barrier expressing the voltage dependence of the translocation step of the mechanism, and to the redistribution of the intermediates of the biochemical reactions during activity. In comparison, the
ad hoc mathematical description exhibits a fixed dependence of the pump current on voltage and ionic concentrations. |
| doi_str_mv | 10.1016/S0022-5193(05)80175-4 |
| format | Article |
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ad hoc mathematical description of the Na,K pump. Both representations are incorporated into a modified version of the Beeler-Reuter model for the ventricular membrane, and the resulting action potential models are studied under conditions of repetitive stimulation at steady rates between 0 and 3 Hz. The two Na,K pump representations have nearly identical steady-state characteristics of sensitivity to internal Na
+ concentration, external K
+ concentration, and membrane potential. Rapid voltage-dependent transient pump currents are present in the mechanistic model, while they are absent in the
ad hoc mathematical description we used. The stimulation results show that a sizable peak of pump current caused by the action potential upstroke in the mechanistic model affects phase 1 repolarization, and that this effect is relatively independent of the stimulation rate. The pump current generated by our
ad hoc mathematical description is constant during the action potential and does not affect directly the repolarization time course. While the two Na,K pump models show similar pumping efficiency at low stimulation rates, the mechanistic pump is more efficient at high rates of activity. In essence, the distinctive features of the mechanistic model are due to an energy barrier expressing the voltage dependence of the translocation step of the mechanism, and to the redistribution of the intermediates of the biochemical reactions during activity. In comparison, the
ad hoc mathematical description exhibits a fixed dependence of the pump current on voltage and ionic concentrations.</description><identifier>ISSN: 0022-5193</identifier><identifier>EISSN: 1095-8541</identifier><identifier>DOI: 10.1016/S0022-5193(05)80175-4</identifier><identifier>PMID: 1317487</identifier><identifier>CODEN: JTBIAP</identifier><language>eng</language><publisher>Sidcup: Elsevier Ltd</publisher><subject>Action Potentials - physiology ; Biological and medical sciences ; Electric Stimulation ; Fundamental and applied biological sciences. Psychology ; Heart ; Humans ; mathematical models ; Mathematics ; Membrane Potentials - physiology ; Models, Cardiovascular ; Myocardium - cytology ; Myocardium - metabolism ; Na super(+)/K super(+)-transporting ATPase ; Sodium-Potassium-Exchanging ATPase - physiology ; Vertebrates: cardiovascular system</subject><ispartof>Journal of theoretical biology, 1992-02, Vol.154 (3), p.335-358</ispartof><rights>1992 Academic Press Limited</rights><rights>1992 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c420t-b0ec85fbca5b6d1fe3089d29f01f1c14552605a0199469345d945e96c8d5eecd3</citedby><cites>FETCH-LOGICAL-c420t-b0ec85fbca5b6d1fe3089d29f01f1c14552605a0199469345d945e96c8d5eecd3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/S0022-5193(05)80175-4$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=5244808$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/1317487$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Lemieux, D.R.</creatorcontrib><creatorcontrib>Roberge, F.A.</creatorcontrib><creatorcontrib>Joly, D.</creatorcontrib><title>Modeling the dynamic features of the electrogenic Na,K pump of cardiac cells</title><title>Journal of theoretical biology</title><addtitle>J Theor Biol</addtitle><description>The purpose of this paper is to examine the dynamic features of the electrogenic Na,K pump of cardiac cells, based on a comparative analysis of a mechanistic model and an
ad hoc mathematical description of the Na,K pump. Both representations are incorporated into a modified version of the Beeler-Reuter model for the ventricular membrane, and the resulting action potential models are studied under conditions of repetitive stimulation at steady rates between 0 and 3 Hz. The two Na,K pump representations have nearly identical steady-state characteristics of sensitivity to internal Na
+ concentration, external K
+ concentration, and membrane potential. Rapid voltage-dependent transient pump currents are present in the mechanistic model, while they are absent in the
ad hoc mathematical description we used. The stimulation results show that a sizable peak of pump current caused by the action potential upstroke in the mechanistic model affects phase 1 repolarization, and that this effect is relatively independent of the stimulation rate. The pump current generated by our
ad hoc mathematical description is constant during the action potential and does not affect directly the repolarization time course. While the two Na,K pump models show similar pumping efficiency at low stimulation rates, the mechanistic pump is more efficient at high rates of activity. In essence, the distinctive features of the mechanistic model are due to an energy barrier expressing the voltage dependence of the translocation step of the mechanism, and to the redistribution of the intermediates of the biochemical reactions during activity. In comparison, the
ad hoc mathematical description exhibits a fixed dependence of the pump current on voltage and ionic concentrations.</description><subject>Action Potentials - physiology</subject><subject>Biological and medical sciences</subject><subject>Electric Stimulation</subject><subject>Fundamental and applied biological sciences. Psychology</subject><subject>Heart</subject><subject>Humans</subject><subject>mathematical models</subject><subject>Mathematics</subject><subject>Membrane Potentials - physiology</subject><subject>Models, Cardiovascular</subject><subject>Myocardium - cytology</subject><subject>Myocardium - metabolism</subject><subject>Na super(+)/K super(+)-transporting ATPase</subject><subject>Sodium-Potassium-Exchanging ATPase - physiology</subject><subject>Vertebrates: cardiovascular system</subject><issn>0022-5193</issn><issn>1095-8541</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1992</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNqFkEtv1TAQRi1EVW4LP6FSFghRiZSZxJPYK4QqXuoFFsDa8rXHxSiPi50g9d8396Gy7Gqk-c48dIS4QLhCwObtD4CqKgl1_RroUgG2VMonYoWgqVQk8alYPSDPxFnOfwBAy7o5FadYYytVuxLrr6PnLg63xfSbC3832D66IrCd5sS5GMO-zx27KY23PCzhN_vmptjO_XaXOpt8tK5w3HX5uTgJtsv84ljPxa-PH35efy7X3z99uX6_Lp2sYCo3wE5R2DhLm8Zj4BqU9pUOgAEdSqKqAbKAWstG15K8lsS6ccoTs_P1uXh12LtN49-Z82T6mHcf2IHHOZu20g3ptn0UxAaVJAULSAfQpTHnxMFsU-xtujMIZqfb7HWbnUsDZPa6jVzmLo4H5k3P_v_Uwe-SvzzmNjvbhWQHF_MDRpWUCtSCvTtgvFj7FzmZ7CIPjn1Mi3njx_jII_d23ZqG</recordid><startdate>19920207</startdate><enddate>19920207</enddate><creator>Lemieux, D.R.</creator><creator>Roberge, F.A.</creator><creator>Joly, D.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</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>FR3</scope><scope>M7Z</scope><scope>P64</scope><scope>7X8</scope></search><sort><creationdate>19920207</creationdate><title>Modeling the dynamic features of the electrogenic Na,K pump of cardiac cells</title><author>Lemieux, D.R. ; Roberge, F.A. ; Joly, D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c420t-b0ec85fbca5b6d1fe3089d29f01f1c14552605a0199469345d945e96c8d5eecd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1992</creationdate><topic>Action Potentials - physiology</topic><topic>Biological and medical sciences</topic><topic>Electric Stimulation</topic><topic>Fundamental and applied biological sciences. Psychology</topic><topic>Heart</topic><topic>Humans</topic><topic>mathematical models</topic><topic>Mathematics</topic><topic>Membrane Potentials - physiology</topic><topic>Models, Cardiovascular</topic><topic>Myocardium - cytology</topic><topic>Myocardium - metabolism</topic><topic>Na super(+)/K super(+)-transporting ATPase</topic><topic>Sodium-Potassium-Exchanging ATPase - physiology</topic><topic>Vertebrates: cardiovascular system</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lemieux, D.R.</creatorcontrib><creatorcontrib>Roberge, F.A.</creatorcontrib><creatorcontrib>Joly, D.</creatorcontrib><collection>Pascal-Francis</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>Engineering Research Database</collection><collection>Biochemistry Abstracts 1</collection><collection>Biotechnology and BioEngineering Abstracts</collection><collection>MEDLINE - Academic</collection><jtitle>Journal of theoretical biology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lemieux, D.R.</au><au>Roberge, F.A.</au><au>Joly, D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Modeling the dynamic features of the electrogenic Na,K pump of cardiac cells</atitle><jtitle>Journal of theoretical biology</jtitle><addtitle>J Theor Biol</addtitle><date>1992-02-07</date><risdate>1992</risdate><volume>154</volume><issue>3</issue><spage>335</spage><epage>358</epage><pages>335-358</pages><issn>0022-5193</issn><eissn>1095-8541</eissn><coden>JTBIAP</coden><abstract>The purpose of this paper is to examine the dynamic features of the electrogenic Na,K pump of cardiac cells, based on a comparative analysis of a mechanistic model and an
ad hoc mathematical description of the Na,K pump. Both representations are incorporated into a modified version of the Beeler-Reuter model for the ventricular membrane, and the resulting action potential models are studied under conditions of repetitive stimulation at steady rates between 0 and 3 Hz. The two Na,K pump representations have nearly identical steady-state characteristics of sensitivity to internal Na
+ concentration, external K
+ concentration, and membrane potential. Rapid voltage-dependent transient pump currents are present in the mechanistic model, while they are absent in the
ad hoc mathematical description we used. The stimulation results show that a sizable peak of pump current caused by the action potential upstroke in the mechanistic model affects phase 1 repolarization, and that this effect is relatively independent of the stimulation rate. The pump current generated by our
ad hoc mathematical description is constant during the action potential and does not affect directly the repolarization time course. While the two Na,K pump models show similar pumping efficiency at low stimulation rates, the mechanistic pump is more efficient at high rates of activity. In essence, the distinctive features of the mechanistic model are due to an energy barrier expressing the voltage dependence of the translocation step of the mechanism, and to the redistribution of the intermediates of the biochemical reactions during activity. In comparison, the
ad hoc mathematical description exhibits a fixed dependence of the pump current on voltage and ionic concentrations.</abstract><cop>Sidcup</cop><pub>Elsevier Ltd</pub><pmid>1317487</pmid><doi>10.1016/S0022-5193(05)80175-4</doi><tpages>24</tpages></addata></record> |
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| subjects | Action Potentials - physiology Biological and medical sciences Electric Stimulation Fundamental and applied biological sciences. Psychology Heart Humans mathematical models Mathematics Membrane Potentials - physiology Models, Cardiovascular Myocardium - cytology Myocardium - metabolism Na super(+)/K super(+)-transporting ATPase Sodium-Potassium-Exchanging ATPase - physiology Vertebrates: cardiovascular system |
| title | Modeling the dynamic features of the electrogenic Na,K pump of cardiac cells |
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