{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,21]],"date-time":"2025-09-21T17:25:48Z","timestamp":1758475548657},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2011,5,17]],"date-time":"2011-05-17T00:00:00Z","timestamp":1305590400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Comput Neurosci"],"published-print":{"date-parts":[[2011,11]]},"DOI":"10.1007\/s10827-011-0337-9","type":"journal-article","created":{"date-parts":[[2011,5,16]],"date-time":"2011-05-16T11:44:41Z","timestamp":1305546281000},"page":"713-724","source":"Crossref","is-referenced-by-count":9,"title":["Persistent membranous cross correlations due to the multiplicity of gates in ion channels"],"prefix":"10.1007","volume":"31","author":[{"given":"Marifi","family":"G\u00fcler","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,5,17]]},"reference":[{"key":"337_CR1","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1038\/378362a0","volume":"378","author":"SM Bezrukov","year":"1995","unstructured":"Bezrukov, S.\u00a0M., & Vodyanoy, I. (1995). Noise-induced enhancement of signal transduction across voltage-dependent ion channels. Nature, 378, 362\u2013364.","journal-title":"Nature"},{"key":"337_CR2","doi-asserted-by":"crossref","first-page":"824","DOI":"10.1007\/s10439-009-9635-z","volume":"37","author":"IC Bruce","year":"2009","unstructured":"Bruce, I.\u00a0C. (2009). Evaluation of stochastic differential equation approximation of ion channel gating models. Annals of Biomedical Engineering, 37, 824\u2013838.","journal-title":"Annals of Biomedical Engineering"},{"key":"337_CR3","doi-asserted-by":"crossref","first-page":"3013","DOI":"10.1016\/S0006-3495(96)79494-8","volume":"71","author":"CC Chow","year":"1996","unstructured":"Chow, C.\u00a0C., & White, J.\u00a0A. (1996). Spontaneous action potentials due to channel fluctuations. Biophysical Journal, 71, 3013\u20133021.","journal-title":"Biophysical Journal"},{"key":"337_CR4","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1007\/BF01053972","volume":"70","author":"LJ DeFelice","year":"1992","unstructured":"DeFelice, L.\u00a0J., & Isaac, A. (1992). Chaotic states in a random world: Relationship between the nonlinear differential equations of excitability and the stochastic properties of ion channels. Journal of Statistical Physics, 70, 339\u2013354.","journal-title":"Journal of Statistical Physics"},{"key":"337_CR5","doi-asserted-by":"crossref","first-page":"9723","DOI":"10.1523\/JNEUROSCI.1721-04.2004","volume":"24","author":"K Diba","year":"2004","unstructured":"Diba, K., Lester, H.\u00a0A., & Koch, C. (2004). Intrinsic noise in cultured hippocampal neurons: Experiment and modeling. Journal of Neuroscience, 24, 9723\u20139733.","journal-title":"Journal of Neuroscience"},{"key":"337_CR6","doi-asserted-by":"crossref","first-page":"10025","DOI":"10.1523\/JNEUROSCI.3557-05.2005","volume":"25","author":"AD Dorval","year":"2005","unstructured":"Dorval, A.\u00a0D., & White, J.\u00a0A. (2005). Channel noise is essential for perithreshold oscillations in entorhinal stellate neurons. Journal of Neuroscience, 25, 10025\u201310028.","journal-title":"Journal of Neuroscience"},{"key":"337_CR7","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1371\/journal.pcbi.0030079","volume":"3","author":"AA Faisal","year":"2007","unstructured":"Faisal, A.\u00a0A., & Laughlin, S.\u00a0B. (2007). Stochastic simulations on the reliability of action potential propagation in thin axons. PLoS Computational Biology, 3, e79.","journal-title":"PLoS Computational Biology"},{"key":"337_CR8","doi-asserted-by":"crossref","first-page":"292","DOI":"10.1038\/nrn2258","volume":"9","author":"AA Faisal","year":"2008","unstructured":"Faisal, A.\u00a0A., Selen, L.\u00a0P.\u00a0J., & Wolpert, D.\u00a0M. (2008). Noise in the nervous system. Nature Reviews Neuroscience, 9, 292\u2013303.","journal-title":"Nature Reviews Neuroscience"},{"key":"337_CR9","doi-asserted-by":"crossref","first-page":"3421","DOI":"10.1103\/PhysRevE.49.3421","volume":"49","author":"RF Fox","year":"1994","unstructured":"Fox, R.\u00a0F., & Lu, Y.\u00a0N. (1994). Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels. Physical Review E, 49, 3421\u20133431.","journal-title":"Physical Review E"},{"key":"337_CR10","doi-asserted-by":"crossref","first-page":"41918","DOI":"10.1103\/PhysRevE.76.041918","volume":"76","author":"M G\u00fcler","year":"2007","unstructured":"G\u00fcler, M. (2007). Dissipative stochastic mechanics for capturing neuronal dynamics under the influence of ion channel noise: Formalism using a special membrane. Physical Review E, 76, 041918(17).","journal-title":"Physical Review E"},{"key":"337_CR11","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/s10827-008-0074-x","volume":"25","author":"M G\u00fcler","year":"2008","unstructured":"G\u00fcler, M. (2008). Detailed numerical investigation of the dissipative stochastic mechanics based neuron model. Journal of Computational Neuroscience, 25, 211\u2013227.","journal-title":"Journal of Computational Neuroscience"},{"key":"337_CR12","volume-title":"Ionic channels of excitable membranes","author":"B Hille","year":"2001","unstructured":"Hille, B. (2001). Ionic channels of excitable membranes (3rd ed.). Massachusetts: Sinauer Associates.","edition":"3"},{"key":"337_CR13","doi-asserted-by":"crossref","first-page":"500","DOI":"10.1113\/jphysiol.1952.sp004764","volume":"117","author":"AL Hodgkin","year":"1952","unstructured":"Hodgkin, A.\u00a0L., & Huxley, A.\u00a0F. (1952). A quantitative description of membrane current and its application to conduction and excitationin in nerve. Journal of Physiology (London. Print), 117, 500\u2013544.","journal-title":"Journal of Physiology (London. Print)"},{"key":"337_CR14","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1113\/jphysiol.2004.080903","volume":"564","author":"GA Jacobson","year":"2005","unstructured":"Jacobson, G.\u00a0A., et al. (2005). Subthreshold voltage noise of rat neocortical pyramidal neurones. Journal of Physiology, 564, 145\u2013160.","journal-title":"Journal of Physiology"},{"key":"337_CR15","doi-asserted-by":"crossref","unstructured":"Jibril, G.\u00a0O. & G\u00fcler, M. (2009). The renormalization of neuronal dynamics can enhance temporal synchronization among synaptically coupled neurons. In Proceedings of international joint conference on neural networks (pp.\u00a01433\u20131438).","DOI":"10.1109\/IJCNN.2009.5178766"},{"key":"337_CR16","doi-asserted-by":"crossref","first-page":"1761","DOI":"10.1073\/pnas.91.5.1761","volume":"91","author":"S Johansson","year":"1994","unstructured":"Johansson, S., & \u0226rhem, P. (1994). Single-channel currents trigger action potentials in small cultured hippocampal neurons. Proceedings of National Academy of Sciences USA, 91, 1761\u20131765.","journal-title":"Proceedings of National Academy of Sciences USA"},{"key":"337_CR17","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1209\/epl\/i2001-00483-y","volume":"56","author":"P Jung","year":"2001","unstructured":"Jung, P., & Shuai, J.\u00a0W. (2001). Optimal sizes of ion channel clusters. Europhysics Letters, 56, 29\u201335.","journal-title":"Europhysics Letters"},{"key":"337_CR18","volume-title":"Biophysics of computation: Information processing in single neurons","author":"C Koch","year":"1999","unstructured":"Koch, C. (1999). Biophysics of computation: Information processing in single neurons. Oxford: Oxford University Press."},{"key":"337_CR19","doi-asserted-by":"crossref","first-page":"1677","DOI":"10.1523\/JNEUROSCI.3664-05.2006","volume":"26","author":"MH Kole","year":"2006","unstructured":"Kole, M.H., Hallermann, S., & Stuart, G.\u00a0J. (2006). Single I h channels in pyramidal neuron dendrites: Properties, distribution, and impact on action potential output. Journal of Neuroscience, 26, 1677\u20131687.","journal-title":"Journal of Neuroscience"},{"key":"337_CR20","doi-asserted-by":"crossref","first-page":"1001102","DOI":"10.1371\/journal.pcbi.1001102","volume":"7","author":"D Linaro","year":"2011","unstructured":"Linaro, D., Storace, M., & Giugliano, M. (2011). Accurate and fast simulation of channel noise in conductance-based model neurons by diffusion approximation. PLoS Computational Biology, 7, e1001102.","journal-title":"PLoS Computational Biology"},{"key":"337_CR21","doi-asserted-by":"crossref","first-page":"755","DOI":"10.1016\/S0006-3495(89)82874-7","volume":"55","author":"J Lynch","year":"1989","unstructured":"Lynch, J., & Barry, P. (1989). Action potentials initiated by single channels opening in a small neuron (rat olfactory receptor). Biophysical Journal, 55, 755\u2013768.","journal-title":"Biophysical Journal"},{"key":"337_CR22","doi-asserted-by":"crossref","first-page":"578","DOI":"10.1114\/1.1475343","volume":"30","author":"H Mino","year":"2002","unstructured":"Mino, H., Rubinstein, J.\u00a0T., & White, J.\u00a0A. (2002). Comparison of algorithms for the simulation of action potentials with stochastic sodium channels. Annals of Biomedical Engineering, 30, 578\u2013587.","journal-title":"Annals of Biomedical Engineering"},{"key":"337_CR23","doi-asserted-by":"crossref","first-page":"11904","DOI":"10.1103\/PhysRevE.79.011904","volume":"79","author":"A Ochab-Marcinek","year":"2009","unstructured":"Ochab-Marcinek, A., Schmid, G., Goychuk, I., & H\u00e4nggi, P. (2009). Noise-assisted spike propagation in myelinated neurons. Physical Review E, 79, 011904(7).","journal-title":"Physical Review E"},{"key":"337_CR24","doi-asserted-by":"crossref","first-page":"258","DOI":"10.1016\/j.physleta.2006.01.066","volume":"354","author":"M \u00d6zer","year":"2006","unstructured":"\u00d6zer, M. (2006). Frequency-dependent information coding in neurons with stochastic ion channels for subthreshold periodic forcing. Physics Letters A, 354, 258\u2013263.","journal-title":"Physics Letters A"},{"key":"337_CR25","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1023\/B:JCNS.0000014104.08299.8b","volume":"16","author":"PF Rowat","year":"2004","unstructured":"Rowat, P.\u00a0F., & Elson R.\u00a0C. (2004). State-dependent effects of Na channel noise on neuronal burst generation. Journal of Computational Neuroscience, 16, 87\u2013112.","journal-title":"Journal of Computational Neuroscience"},{"key":"337_CR26","doi-asserted-by":"crossref","first-page":"779","DOI":"10.1016\/S0006-3495(95)80252-3","volume":"68","author":"J Rubinstein","year":"1995","unstructured":"Rubinstein, J. (1995). Threshold fluctuations in an N sodium channel model of the node of Ranvier. Biophysical Journal, 68, 779\u2013785.","journal-title":"Biophysical Journal"},{"key":"337_CR27","volume-title":"Single-channel recording","author":"B Sakmann","year":"1995","unstructured":"Sakmann, B., & Neher, N. (1995). Single-channel recording (2nd ed.). New York: Plenum.","edition":"2"},{"key":"337_CR28","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1209\/epl\/i2001-00482-6","volume":"56","author":"G Schmid","year":"2001","unstructured":"Schmid, G., Goychuk, I., & H\u00e4nggi, P. (2001). Stochastic resonance as a collective property of ion channel assemblies. Europhysics Letters, 56, 22\u201328.","journal-title":"Europhysics Letters"},{"key":"337_CR29","doi-asserted-by":"crossref","first-page":"1679","DOI":"10.1162\/089976698300017089","volume":"10","author":"E Schneidman","year":"1998","unstructured":"Schneidman, E., Freedman, B., & Segev, I. (1998). Ion channel stochasticity may be critical in determining the reliability and precision of spike timing. Neural Computation, 10, 1679\u20131703.","journal-title":"Neural Computation"},{"key":"337_CR30","doi-asserted-by":"crossref","first-page":"11918","DOI":"10.1103\/PhysRevE.81.011918","volume":"81","author":"B Sengupta","year":"2010","unstructured":"Sengupta, B., Laughlin, S.\u00a0B. & Niven J.\u00a0E. (2010). Comparison of Langevin and Markov channel noise models for neuronal signal generation. Physical Review E, 81, 011918(12).","journal-title":"Physical Review E"},{"key":"337_CR31","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1113\/jphysiol.1980.sp013426","volume":"307","author":"FJ Sigworth","year":"1980","unstructured":"Sigworth, F.\u00a0J. (1980). The variance of sodium current fluctuations at the node of Ranvier. Journal of Physiology (London Print), 307, 97\u2013129.","journal-title":"Journal of Physiology (London Print)"},{"key":"337_CR32","doi-asserted-by":"crossref","first-page":"843","DOI":"10.1162\/neco.1993.5.6.843","volume":"5","author":"AF Strassberg","year":"1993","unstructured":"Strassberg, A.\u00a0F., & DeFelice, L.\u00a0J. (1993). Limitations of the Hodgkin\u2013Huxley formalism: Effects of single channel kinetics on transmembrane voltage dynamics. Neural Computation, 5, 843\u2013855.","journal-title":"Neural Computation"},{"key":"337_CR33","doi-asserted-by":"crossref","first-page":"262","DOI":"10.1152\/jn.1998.80.1.262","volume":"80","author":"JA White","year":"1998","unstructured":"White, J.\u00a0A., Klink, R., Alonso, A., & Kay, A.\u00a0R. (1998). Noise from voltage-gated ion channels may influence neuronal dynamics in the entorhinal cortex. Journal of Neurohysiology, 80, 262\u2013269.","journal-title":"Journal of Neurohysiology"},{"key":"337_CR34","doi-asserted-by":"crossref","first-page":"11903","DOI":"10.1103\/PhysRevE.70.011903","volume":"70","author":"S Zeng","year":"2004","unstructured":"Zeng, S., & Jung P. (2004). Mechanism for neuronal spike generation by small and large ion channel clusters. Physical Review E, 70, 011903(8).","journal-title":"Physical Review E"}],"container-title":["Journal of Computational Neuroscience"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10827-011-0337-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10827-011-0337-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10827-011-0337-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,10]],"date-time":"2019-06-10T20:24:03Z","timestamp":1560198243000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10827-011-0337-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,5,17]]},"references-count":34,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2011,11]]}},"alternative-id":["337"],"URL":"https:\/\/doi.org\/10.1007\/s10827-011-0337-9","relation":{},"ISSN":["0929-5313","1573-6873"],"issn-type":[{"value":"0929-5313","type":"print"},{"value":"1573-6873","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,5,17]]}}}