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We analyze the cycle-to-cycle fluctuations in the time between successive action potentials (the interbeat interval or IBI). We also convert an existing model of electrical activity in the cluster, which is formulated as a Hodgkin\u2013Huxley-like deterministic system of nonlinear ordinary differential equations describing five individual ionic currents, into a stochastic model consisting of a population of \u223c20\u2009000 independently and randomly gating ionic channels, with the randomness being set by a real physical stochastic process (radio static). This stochastic model, implemented using the Clay\u2013DeFelice algorithm, reproduces the fluctuations seen experimentally: e.g., the coefficient of variation (standard deviation\/mean) of IBI is 4.3% in the model vs. the 3.9% average value of the 17 clusters studied. The model also replicates all but one of several other quantitative measures of the experimental results, including the power spectrum and correlation integral of the voltage, as well as the histogram, Poincar\u00e9 plot, serial correlation coefficients, power spectrum, detrended fluctuation analysis, approximate entropy, and sample entropy of IBI. The channel noise from one particular ionic current (IKs), which has channel kinetics that are relatively slow compared to that of the other currents, makes the major contribution to the fluctuations in IBI. Reproduction of the experimental coefficient of variation of IBI by adding a Gaussian white noise-current into the deterministic model necessitates using an unrealistically high noise-current amplitude. Indeed, a major implication of the modelling results is that, given the wide range of time-scales over which the various species of channels open and close, only a cell-specific stochastic model that is formulated taking into consideration the widely different ranges in the frequency content of the channel-noise produced by the opening and closing of several different types of channels will be able to reproduce precisely the various effects due to membrane noise seen in a particular electrophysiological preparation.<\/jats:p>","DOI":"10.1063\/1.5001200","type":"journal-article","created":{"date-parts":[[2017,9,8]],"date-time":"2017-09-08T13:28:57Z","timestamp":1504877337000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":9,"title":["Regularity of beating of small clusters of embryonic chick ventricular heart-cells: experiment <i>vs.<\/i> stochastic single-channel population model"],"prefix":"10.1063","volume":"27","author":[{"given":"Trine","family":"Krogh-Madsen","sequence":"first","affiliation":[{"name":"Division of Cardiology, Department of Medicine, Weill Cornell Medicine 1 , New York, New York 10065, USA"}]},{"given":"Louise","family":"Kold Taylor","sequence":"additional","affiliation":[{"name":"Department of Physiology and Centre for Applied Mathematics in Biology and Medicine, McGill University 2 , Montreal, Quebec H3G 1Y6, Canada"}]},{"given":"Anne D.","family":"Skriver","sequence":"additional","affiliation":[{"name":"Department of Physiology and Centre for Applied Mathematics in Biology and Medicine, McGill University 2 , Montreal, Quebec H3G 1Y6, Canada"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1392-6382","authenticated-orcid":false,"given":"Peter","family":"Schaffer","sequence":"additional","affiliation":[{"name":"Institute of Biophysics, Medical University Graz 3 , A-8010 Graz, Austria"}]},{"given":"Michael R.","family":"Guevara","sequence":"additional","affiliation":[{"name":"Department of Physiology and Centre for Applied Mathematics in Biology and Medicine, McGill University 2 , Montreal, Quebec H3G 1Y6, Canada"}]}],"member":"317","published-online":{"date-parts":[[2017,9,8]]},"reference":[{"key":"2023070317313457300_c1","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1007\/978-94-009-7535-4","article-title":"Factors influencing regularity and synchronization of beating of tissue cultured heart cells","volume-title":"Cardiac Rate and Rhythm","author":"Bouman","year":"1982"},{"key":"2023070317313457300_c2","unstructured":"R.\u2008Wilders, \u201cFrom single channel kinetics to regular beating,\u201d Ph.D. thesis (University of Amsterdam, Amsterdam, 1993)."},{"key":"2023070317313457300_c3","doi-asserted-by":"publisher","first-page":"2601","DOI":"10.1016\/S0006-3495(93)81289-X","article-title":"Beating irregularity of single pacemaker cells isolated from the rabbit sinoatrial node","volume":"65","year":"1993","journal-title":"Biophys. 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