{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T14:40:06Z","timestamp":1723128006184},"reference-count":18,"publisher":"Informa UK Limited","license":[{"start":{"date-parts":[[2007,10,29]],"date-time":"2007-10-29T00:00:00Z","timestamp":1193616000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics and Decision Sciences"],"published-print":{"date-parts":[[2007,10,29]]},"abstract":"<jats:p>Patch clamp recordings from ion channels often show <jats:italic>bursting<\/jats:italic> behaviour, that is, periods of repetitive activity, which are noticeably separated from each other by  periods of inactivity. A number of authors have obtained results for important properties of theoretical and empirical bursts when channel gating is modelled by\na continuous-time Markov chain with a finite-state space. We show how the use of marked continuous-time Markov chains can simplify the derivation of (i) the distributions of several burst properties, including the total open time, the total charge transfer, and the number of openings in a burst, and (ii) the form of these distributions when the underlying gating process is time reversible and in equilibrium.<\/jats:p>","DOI":"10.1155\/2007\/48138","type":"journal-article","created":{"date-parts":[[2007,11,8]],"date-time":"2007-11-08T16:26:19Z","timestamp":1194539179000},"page":"1-14","source":"Crossref","is-referenced-by-count":2,"title":["Marked Continuous-Time Markov Chain Modelling of Burst Behaviour for Single Ion Channels"],"prefix":"10.1080","volume":"2007","author":[{"given":"Frank G.","family":"Ball","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Robin K.","family":"Milne","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Geoffrey F.","family":"Yeo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","reference":[{"year":"1995","key":"1"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1007\/BF00656997"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1098\/rstb.1982.0156"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.2307\/1427675"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1098\/rstb.1992.0116"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1113\/jphysiol.2002.034165"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1523\/JNEUROSCI.4420-03.2004"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1239\/jap\/1019737996"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1093\/imammb\/21.3.205"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1038\/294464a0"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.2307\/1427847"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/S0025-5564(00)00026-2"},{"key":"13","series-title":"Handbook of Statistics","doi-asserted-by":"crossref","first-page":"931","DOI":"10.1016\/S0169-7161(03)21025-7","volume-title":"Markov modelling of burst behaviour in ion channels","volume":"21","year":"2003"},{"first-page":"651","volume-title":"Conformational transitions of ionic channels","year":"1995","key":"14"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-4149(97)00109-9"},{"first-page":"x+318","year":"1987","series-title":"Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics","key":"16"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-842X.2004.00323.x"},{"key":"19","series-title":"Lecture Notes in Statistics","first-page":"x+241","volume":"90","year":"1994"}],"container-title":["Journal of Applied Mathematics and Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/2007\/048138.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/2007\/048138.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T14:23:37Z","timestamp":1723127017000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/ads\/2007\/048138\/abs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,10,29]]},"references-count":18,"alternative-id":["048138","48138"],"URL":"https:\/\/doi.org\/10.1155\/2007\/48138","relation":{},"ISSN":["1173-9126","1532-7612"],"issn-type":[{"type":"print","value":"1173-9126"},{"type":"electronic","value":"1532-7612"}],"subject":[],"published":{"date-parts":[[2007,10,29]]}}}