{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,22]],"date-time":"2025-07-22T10:43:39Z","timestamp":1753181019548},"reference-count":43,"publisher":"Public Library of Science (PLoS)","issue":"3","license":[{"start":{"date-parts":[[2012,3,1]],"date-time":"2012-03-01T00:00:00Z","timestamp":1330560000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"DOI":"10.1371\/journal.pcbi.1002399","type":"journal-article","created":{"date-parts":[[2012,3,2]],"date-time":"2012-03-02T20:15:27Z","timestamp":1330719327000},"page":"e1002399","update-policy":"http:\/\/dx.doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":16,"title":["Uncovering the Dynamics of Cardiac Systems Using Stochastic Pacing and Frequency Domain Analyses"],"prefix":"10.1371","volume":"8","author":[{"given":"Mathieu","family":"Lemay","sequence":"first","affiliation":[]},{"given":"Enno","family":"de Lange","sequence":"additional","affiliation":[]},{"given":"Jan P.","family":"Kucera","sequence":"additional","affiliation":[]}],"member":"340","published-online":{"date-parts":[[2012,3,1]]},"reference":[{"key":"ref1","first-page":"141","article-title":"Notes upon alternation of the heart.","volume":"4","author":"T Lewis","year":"1910","journal-title":"Quart J Med"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"1244","DOI":"10.1161\/01.RES.0000224540.97431.f0","article-title":"From pulsus to pulseless: the saga of cardiac alternans.","volume":"98","author":"JN Weiss","year":"2006","journal-title":"Circ Res"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"1385","DOI":"10.1161\/01.CIR.99.10.1385","article-title":"Mechanism linking T-wave alternans to the genesis of cardiac fibrillation.","volume":"99","author":"JM Pastore","year":"1999","journal-title":"Circulation"},{"key":"ref4","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1152\/physrev.00025.2003","article-title":"Basic mechanisms of cardiac impulse propagation and associated arrhythmias.","volume":"84","author":"AG Kl\u00e9ber","year":"2004","journal-title":"Physiol Rev"},{"key":"ref5","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1161\/01.RES.66.2.525","article-title":"Supernormal excitability as a mechanism of chaotic dynamics of activation in cardiac Purkinje fibers.","volume":"66","author":"DR Chialvo","year":"1990","journal-title":"Circ Res"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"2930","DOI":"10.1016\/S0006-3495(99)77126-2","article-title":"Intracellular Ca(2+) dynamics and the stability of ventricular tachycardia.","volume":"77","author":"E Chudin","year":"1999","journal-title":"Biophys J"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"650","DOI":"10.1161\/01.RES.0000119923.64774.72","article-title":"Sarcoplasmic reticulum calcium content fluctuation is the key to cardiac alternans.","volume":"94","author":"ME Diaz","year":"2004","journal-title":"Circ Res"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"520","DOI":"10.1161\/01.RES.0000240542.03986.e7","article-title":"Spatially discordant alternans in cardiac tissue: role of calcium cycling.","volume":"99","author":"D Sato","year":"2006","journal-title":"Circ Res"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1152\/jappl.1968.25.2.191","article-title":"A graphic method for the study of alternation in cardiac action potentials.","volume":"25","author":"JB Nolasco","year":"1968","journal-title":"J Appl Physiol"},{"key":"ref10","doi-asserted-by":"crossref","first-page":"1510","DOI":"10.1161\/01.RES.67.6.1510","article-title":"Nonlinear dynamics of rate-dependent activation in models of single cardiac cells.","volume":"67","author":"A Vinet","year":"1990","journal-title":"Circ Res"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/j.pbiomolbio.2010.11.001","article-title":"Chaos in the genesis and maintenance of cardiac arrhythmias.","volume":"105","author":"Z Qu","year":"2011","journal-title":"Prog Biophys Mol Biol"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"1350","DOI":"10.1126\/science.7313693","article-title":"Phase locking, period-doubling bifurcations, and irregular dynamics in periodically stimulated cardiac cells.","volume":"214","author":"MR Guevara","year":"1981","journal-title":"Science"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"653","DOI":"10.1038\/343653a0","article-title":"Low dimensional chaos in cardiac tissue.","volume":"343","author":"DR Chialvo","year":"1990","journal-title":"Nature"},{"key":"ref14","first-page":"4043","article-title":"Alternans and the onset of ventricular fibrillation.","volume":"62","author":"HM Hastings","year":"2000","journal-title":"Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics"},{"key":"ref15","doi-asserted-by":"crossref","first-page":"788","DOI":"10.1063\/1.1503941","article-title":"Stability conditions for the traveling pulse: Modifying the restitution hypothesis.","volume":"12","author":"E Cytrynbaum","year":"2002","journal-title":"Chaos"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"H2332","DOI":"10.1152\/ajpheart.00747.2003","article-title":"Suppression of alternans and conduction blocks despite steep APD restitution: electrotonic, memory, and conduction velocity restitution effects.","volume":"286","author":"EM Cherry","year":"2004","journal-title":"Am J Physiol Heart Circ Physiol"},{"key":"ref17","doi-asserted-by":"crossref","first-page":"2735","DOI":"10.1529\/biophysj.106.083865","article-title":"Action potential duration restitution portraits of mammalian ventricular myocytes: role of calcium current.","volume":"91","author":"EG Tolkacheva","year":"2006","journal-title":"Biophys J"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"868","DOI":"10.1016\/j.bpj.2011.01.009","article-title":"Toward prediction of the local onset of alternans in the heart.","volume":"100","author":"AR Cram","year":"2011","journal-title":"Biophys J"},{"key":"ref19","first-page":"H782","article-title":"Cycle length effect on restitution of action potential duration in dog cardiac fibers.","volume":"244","author":"V Elharrar","year":"1983","journal-title":"Am J Physiol"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"698","DOI":"10.1046\/j.1540-8167.2004.03550.x","article-title":"The restitution portrait: a new method for investigating rate-dependent restitution.","volume":"15","author":"SS Kalb","year":"2004","journal-title":"J Cardiovasc Electrophysiol"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"23701","DOI":"10.1063\/1.1876912","article-title":"Restitution in mapping models with an arbitrary amount of memory.","volume":"15","author":"SS Kalb","year":"2005","journal-title":"Chaos"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1111\/j.1540-8167.2005.00319.x","article-title":"Mechanism of repolarization alternans has restitution of action potential duration dependent and independent components.","volume":"17","author":"R Wu","year":"2006","journal-title":"J Cardiovasc Electrophysiol"},{"key":"ref23","doi-asserted-by":"crossref","first-page":"H43","DOI":"10.1152\/ajpheart.00955.2006","article-title":"A tale of two dogs: analyzing two models of canine ventricular electrophysiology.","volume":"292","author":"EM Cherry","year":"2007","journal-title":"Am J Physiol Heart Circ Physiol"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1016\/j.bpj.2008.09.025","article-title":"The transfer functions of cardiac tissue during stochastic pacing.","volume":"96","author":"E de Lange","year":"2009","journal-title":"Biophys J"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"031904","DOI":"10.1103\/PhysRevE.67.031904","article-title":"Condition for alternans and stability of the 1\u22361 response pattern in a \u201cmemory\u201d model of paced cardiac dynamics.","volume":"67","author":"EG Tolkacheva","year":"2003","journal-title":"Phys Rev E Stat Nonlin Soft Matter Phys"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"634","DOI":"10.1161\/01.RES.0000119322.87051.A9","article-title":"Restitution of action potential duration during sequential changes in diastolic intervals shows multimodal behavior.","volume":"94","author":"R Wu","year":"2004","journal-title":"Circ Res"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"1188","DOI":"10.1046\/j.1540-8167.2004.04070.x","article-title":"Adaptation of cardiac action potential durations to stimulation history with random diastolic intervals.","volume":"15","author":"BR Choi","year":"2004","journal-title":"J Cardiovasc Electrophysiol"},{"key":"ref28","doi-asserted-by":"crossref","first-page":"1213","DOI":"10.1114\/1.1616930","article-title":"Ion channel basis for alternans and memory in cardiac myocytes.","volume":"31","author":"M Li","year":"2003","journal-title":"Ann Biomed Eng"},{"key":"ref29","doi-asserted-by":"crossref","first-page":"1261","DOI":"10.1016\/j.hrthm.2005.07.015","article-title":"What can nonlinear dynamics teach us about the development of ventricular tachycardia\/ventricular fibrillation?","volume":"2","author":"NF Otani","year":"2005","journal-title":"Heart Rhythm"},{"key":"ref30","doi-asserted-by":"crossref","first-page":"672","DOI":"10.1529\/biophysj.105.071340","article-title":"Action potential morphology influences intracellular calcium handling stability and the occurrence of alternans.","volume":"90","author":"PN Jordan","year":"2006","journal-title":"Biophys J"},{"key":"ref31","doi-asserted-by":"crossref","first-page":"H2109","DOI":"10.1152\/ajpheart.00609.2007","article-title":"Characterizing the contribution of voltage- and calcium-dependent coupling to action potential stability: implications for repolarization alternans.","volume":"293","author":"PN Jordan","year":"2007","journal-title":"Am J Physiol Heart Circ Physiol"},{"key":"ref32","article-title":"System Identification - Theory for the User","author":"L Ljung","year":"1999"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"3666","DOI":"10.1016\/S0006-3495(03)74784-5","article-title":"Model of intracellular calcium cycling in ventricular myocytes.","volume":"85","author":"Y Shiferaw","year":"2003","journal-title":"Biophys J"},{"key":"ref34","doi-asserted-by":"crossref","first-page":"H516","DOI":"10.1152\/ajpheart.00612.2001","article-title":"Ionic mechanism of electrical alternans.","volume":"282","author":"JJ Fox","year":"2002","journal-title":"Am J Physiol Heart Circ Physiol"},{"key":"ref35","author":"H Press","year":"2007"},{"key":"ref36","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1113\/jphysiol.1977.sp011853","article-title":"Reconstruction of the action potential of ventricular myocardial fibres.","volume":"268","author":"GW Beeler","year":"1977","journal-title":"J Physiol (Lond)"},{"key":"ref37","article-title":"Statistical digital signal processing and modeling","author":"MH Hayes","year":"1996"},{"key":"ref38","doi-asserted-by":"crossref","first-page":"011927","DOI":"10.1103\/PhysRevE.75.011927","article-title":"Nonlinear dynamics of cardiac excitation-contraction coupling: an iterated map study.","volume":"75","author":"Z Qu","year":"2007","journal-title":"Phys Rev E Stat Nonlin Soft Matter Phys"},{"key":"ref39","doi-asserted-by":"crossref","first-page":"188","DOI":"10.1016\/j.jelectrocard.2006.01.001","article-title":"Effects of rapid and slow potassium repolarization currents and calcium dynamics on hysteresis in restitution of action potential duration.","volume":"40","author":"R Wu","year":"2007","journal-title":"J Electrocardiol"},{"key":"ref40","doi-asserted-by":"crossref","first-page":"H677","DOI":"10.1152\/ajpheart.2000.278.3.H677","article-title":"Beat-to-beat repolarization variability in ventricular myocytes and its suppression by electrical coupling.","volume":"278","author":"M Zaniboni","year":"2000","journal-title":"Am J Physiol Heart Circ Physiol"},{"key":"ref41","doi-asserted-by":"crossref","first-page":"196","DOI":"10.1046\/j.1540-8167.2001.00196.x","article-title":"Mechanisms for discordant alternans.","volume":"12","author":"MA Watanabe","year":"2001","journal-title":"J Cardiovasc Electrophysiol"},{"key":"ref42","doi-asserted-by":"crossref","first-page":"208101","DOI":"10.1103\/PhysRevLett.88.208101","article-title":"Instability and spatiotemporal dynamics of alternans in paced cardiac tissue.","volume":"88","author":"B Echebarria","year":"2002","journal-title":"Phys Rev Lett"},{"key":"ref43","doi-asserted-by":"crossref","first-page":"1014","DOI":"10.1161\/01.RES.75.6.1014","article-title":"Wave-front curvature as a cause of slow conduction and block in isolated cardiac muscle.","volume":"75","author":"C Cabo","year":"1994","journal-title":"Circ Res"}],"container-title":["PLoS Computational Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/dx.plos.org\/10.1371\/journal.pcbi.1002399","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,24]],"date-time":"2019-06-24T20:07:43Z","timestamp":1561406863000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1002399"}},"subtitle":[],"editor":[{"given":"Andrew D.","family":"McCulloch","sequence":"first","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2012,3,1]]},"references-count":43,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2012,3,1]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pcbi.1002399","relation":{},"ISSN":["1553-7358"],"issn-type":[{"value":"1553-7358","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,3,1]]}}}