{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T11:36:41Z","timestamp":1648726601760},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2008,2,8]],"date-time":"2008-02-08T00:00:00Z","timestamp":1202428800000},"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":[[2008,10]]},"DOI":"10.1007\/s10827-008-0074-x","type":"journal-article","created":{"date-parts":[[2008,2,7]],"date-time":"2008-02-07T18:47:40Z","timestamp":1202410060000},"page":"211-227","source":"Crossref","is-referenced-by-count":4,"title":["Detailed numerical investigation of the dissipative stochastic mechanics based neuron model"],"prefix":"10.1007","volume":"25","author":[{"given":"Marifi","family":"G\u00fcler","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2008,2,8]]},"reference":[{"key":"74_CR1","doi-asserted-by":"crossref","first-page":"1567","DOI":"10.1162\/neco.1996.8.8.1567","volume":"8","author":"H.D.A. Abarbanel","year":"1996","unstructured":"Abarbanel, H.D.A., Huerta, R., Rabinovich, M.I., Rulkov, N.F., Rowat P.F., & Selverston A.I. (1996). Synchronized action of synaptically coupled chaotic model neurons. Neural Computation, 8, 1567\u20131602.","journal-title":"Neural Computation"},{"key":"74_CR2","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1016\/0304-3940(89)90278-4","volume":"99","author":"A. Agmon","year":"1989","unstructured":"Agmon, A., & Connors, B. (1989). Repetitive burst-firing neurons in the deep layers of mouse somatosensory cortex. Neuroscience Letters, 99, 137\u2013141.","journal-title":"Neuroscience Letters"},{"key":"74_CR3","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1038\/242459a0","volume":"242","author":"C.M. Armstrong","year":"1973","unstructured":"Armstrong, C.M., & Bezanilla, F. (1973). Currents related to movement of the gating particles of the sodium channels. Nature, 242, 459\u2013461.","journal-title":"Nature"},{"key":"74_CR4","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/S0303-2647(01)00140-X","volume":"62","author":"H.A. Braun","year":"2001","unstructured":"Braun, H.A., Huber, M.T., Anthes, N., Voight, K., Neiman, A., Pei, X.,et al. (2001). Noise-induced impulse pattern modifications at different dynamical period-one situations in a computer model of temperature encoding. BioSystems, 62, 99\u2013112.","journal-title":"BioSystems"},{"key":"74_CR5","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1023\/B:JCNS.0000037677.58916.6b","volume":"17","author":"M.J. Chacron","year":"2004","unstructured":"Chacron, M.J., Longtin, A., & Maler, L. (2004). To burst or not to burst? Journal of Computational Neuroscience, 17, 127\u2013136.","journal-title":"Journal of Computational Neuroscience"},{"key":"74_CR6","doi-asserted-by":"crossref","first-page":"3013","DOI":"10.1016\/S0006-3495(96)79494-8","volume":"71","author":"C.C. Chow","year":"1996","unstructured":"Chow, C.C., & White, J.A. (1996). Spontaneous action potentials due to channel fluctuations. Biophysical Journal, 71, 3013\u20133021.","journal-title":"Biophysical Journal"},{"key":"74_CR7","doi-asserted-by":"crossref","first-page":"10580","DOI":"10.1523\/JNEUROSCI.22-24-10580.2002","volume":"22","author":"G.S. Cymbalyuk","year":"2002","unstructured":"Cymbalyuk, G.S., Gaudry, Q., Masino, M.A., & Calabrese, R.L. (2002). Bursting in leech heart interneurons: Cell-autonomous and network-based mechanisms. Journal of Neuroscience, 22, 10580\u201310592.","journal-title":"Journal of Neuroscience"},{"key":"74_CR8","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1007\/BF01053972","volume":"70","author":"L.J. DeFelice","year":"1992","unstructured":"DeFelice, L.J., & 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":"74_CR9","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1007\/BF00202899","volume":"60","author":"R. Eckhorn","year":"1988","unstructured":"Eckhorn, R., Bauer, R., Jordan, W., Brosch, M., Munk, T., & Reitboeck, H.J. (1988). Coherent oscillations: A mechanism of feature linking in the visual cortex? Multiple electrode and correlation analysis in the cat. Biological Cybernetics, 60, 121\u2013130.","journal-title":"Biological Cybernetics"},{"key":"74_CR10","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1063\/1.166488","volume":"10","author":"U. Feudel","year":"2000","unstructured":"Feudel, U., Neiman, A., Pei, X., Wojtenek, W., Braun, H.A., Huber, M.T., et al. (2000). Homoclinic bifurcations in a Hodgkin\u2013Huxley model of thermally sensitive neurons. Chaos, 10, 231\u2013239.","journal-title":"Chaos"},{"key":"74_CR11","doi-asserted-by":"crossref","first-page":"3421","DOI":"10.1103\/PhysRevE.49.3421","volume":"49","author":"R.F. Fox","year":"1994","unstructured":"Fox, R.F., & Lu, Y.N. (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":"74_CR12","doi-asserted-by":"crossref","first-page":"L265","DOI":"10.1142\/S0219477503001361","volume":"3","author":"S.L. Ginzburg","year":"2003","unstructured":"Ginzburg, S.L., & Pustovoit, M.A. (2003). Bursting dynamics of a model neuron induced by intrinsic channel noise. Fluctuation and Noise Letters, 3, L265\u2013L274.","journal-title":"Fluctuation and Noise Letters"},{"key":"74_CR13","doi-asserted-by":"crossref","first-page":"1698","DOI":"10.1073\/pnas.86.5.1698","volume":"86","author":"C.M. Gray","year":"1989","unstructured":"Gray, C.M., & Singer, W. (1989). Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. Proceedings of National Academy of Sciences USA, 86, 1698\u20131702.","journal-title":"Proceedings of National Academy of Sciences USA"},{"key":"74_CR14","doi-asserted-by":"crossref","first-page":"495","DOI":"10.1016\/S0893-6080(01)00033-8","volume":"14","author":"M. G\u00fcler","year":"2001","unstructured":"G\u00fcler, M. (2001). A model with an intrinsic property of learning higher order correlations. Neural Networks, 14, 495\u2013504.","journal-title":"Neural Networks"},{"key":"74_CR15","doi-asserted-by":"crossref","first-page":"L147","DOI":"10.1142\/S0219477506003239","volume":"6","author":"M. G\u00fcler","year":"2006","unstructured":"G\u00fcler, M. (2006). Modeling the effects of channel noise in neurons: A study based on dissipative stochastic mechanics. Fluctuation and Noise Letters, 6, L147\u2013L159.","journal-title":"Fluctuation and Noise Letters"},{"key":"74_CR16","doi-asserted-by":"crossref","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).","DOI":"10.1103\/PhysRevE.76.041918"},{"key":"74_CR17","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1109\/IJCNN.2000.861292","volume":"III","author":"M. G\u00fcler","year":"2000","unstructured":"G\u00fcler, M., & Erg\u00fcn, C. (2000). On the effect of the stimulus on the synchronization of coupled Rose\u2013Hindmarsh neurons. In Proc. IEEE\u2013INNS\u2013ENNS Int. Joint Conf. on Neural Networks, III, 127\u2013132.","journal-title":"Proc. IEEE\u2013INNS\u2013ENNS Int. Joint Conf. on Neural Networks"},{"key":"74_CR18","volume-title":"Ionic channels of excitable membranes","author":"B. Hille","year":"2001","unstructured":"Hille, B. (2001). Ionic channels of excitable membranes (3rd ed.). Sunderland, MA: Sinauer.","edition":"3"},{"key":"74_CR19","first-page":"87","volume":"B221","author":"J.L. Hindmarsh","year":"1984","unstructured":"Hindmarsh, J.L., & Rose, R.M. (1984). A model of neuronal bursting using three coupled first order differential equations. Proceedings of the Royal Society of London, B221, 87\u2013102.","journal-title":"Proceedings of the Royal Society of London"},{"key":"74_CR20","doi-asserted-by":"crossref","first-page":"500","DOI":"10.1113\/jphysiol.1952.sp004764","volume":"117","author":"A.L. Hodgkin","year":"1952","unstructured":"Hodgkin, A.L., & Huxley, A.F. (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":"74_CR21","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":"74_CR22","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.W. (2001). Optimal sizes of ion channel clusters. Europhysics Letters, 56, 29\u201335.","journal-title":"Europhysics Letters"},{"key":"74_CR23","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1113\/jphysiol.1974.sp010575","volume":"239","author":"R.D. Keynes","year":"1974","unstructured":"Keynes, R.D., & Rojas, E. (1974). Kinetics and steady-state properties of the charged system controlling sodium conductance in the squid giant axon. Journal of Physiology (London. Print), 239, 393\u2013434.","journal-title":"Journal of Physiology (London. Print)"},{"key":"74_CR24","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":"74_CR25","doi-asserted-by":"crossref","first-page":"1068","DOI":"10.1016\/S0006-3495(71)86278-1","volume":"11","author":"H. Lecar","year":"1971","unstructured":"Lecar, H., & Nossal, R. (1971). Theory of threshold fluctuations in nerves: Analysis of various sources of membrane noise. Biophysical Journal, 11, 1068\u20131084.","journal-title":"Biophysical Journal"},{"key":"74_CR26","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":"74_CR27","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1023\/B:JCNS.0000014104.08299.8b","volume":"16","author":"P.F. Rowat","year":"2004","unstructured":"Rowat, P.F., Elson, R.C. (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":"74_CR28","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 N sodium channel model of the node of Ranvier. Biophysical Journal, 68, 779\u2013785.","journal-title":"Biophysical Journal"},{"key":"74_CR29","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":"74_CR30","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":"74_CR31","doi-asserted-by":"crossref","first-page":"244","DOI":"10.1038\/242244a0","volume":"242","author":"M. Schneider","year":"1973","unstructured":"Schneider, M., & Chandler, W.K. (1973). Voltage dependent charge movement in skeletal muscle: A possible step in excitation\u2013contraction coupling. Nature, 242, 244\u2013246.","journal-title":"Nature"},{"key":"74_CR32","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1113\/jphysiol.1980.sp013426","volume":"307","author":"F.J. Sigworth","year":"1980","unstructured":"Sigworth, F.J. (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":"74_CR33","doi-asserted-by":"crossref","first-page":"730","DOI":"10.1152\/jn.1998.80.2.730","volume":"80","author":"R.K. Snider","year":"1998","unstructured":"Snider, R.K., Kabara, J.F., Roig, B.R., & Bonds, A.B. (1998). Burst firing and modulation of functional connectivity in cat striate cortex. Journal of Neurophysiology, 80, 730\u2013744.","journal-title":"Journal of Neurophysiology"},{"key":"74_CR34","doi-asserted-by":"crossref","first-page":"L521","DOI":"10.1142\/S0219477504002142","volume":"4","author":"O.V. Sosnovtseva","year":"2004","unstructured":"Sosnovtseva, O.V., Postnova, S.D., Mosekilde, E., & Braun H.A. (2004). Inter-pattern transitions in a noisy bursting cell. Fluctuation and Noise Letters, 4, L521\u2013533.","journal-title":"Fluctuation and Noise Letters"},{"key":"74_CR35","doi-asserted-by":"crossref","first-page":"843","DOI":"10.1162\/neco.1993.5.6.843","volume":"5","author":"A.F. Strassberg","year":"1993","unstructured":"Strassberg, A.F., & DeFelice, L.J. (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":"74_CR36","doi-asserted-by":"crossref","first-page":"959","DOI":"10.1162\/08997660151134280","volume":"13","author":"C. Vreeswijk van","year":"2001","unstructured":"van Vreeswijk, C., & Hansel, D. (2001). Patterns of synchrony in neural networks with spike adaptation. Neural Computation, 13, 959\u2013992.","journal-title":"Neural Computation"},{"key":"74_CR37","doi-asserted-by":"crossref","first-page":"262","DOI":"10.1152\/jn.1998.80.1.262","volume":"80","author":"J.A. White","year":"1998","unstructured":"White, J.A., Klink, R., Alonso, A., & Kay, A.R. (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"},{"issue":"3","key":"74_CR38","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/S0166-2236(99)01521-0","volume":"23","author":"J.A. White","year":"2000","unstructured":"White, J.A., Rubinstein, J.T., & Kay, A.R. (2000). Channel noise in neurons. Trends in Neurosciences, 23(3), 131\u2013137.","journal-title":"Trends in Neurosciences"}],"container-title":["Journal of Computational Neuroscience"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10827-008-0074-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10827-008-0074-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10827-008-0074-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T01:37:12Z","timestamp":1559266632000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10827-008-0074-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,2,8]]},"references-count":38,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2008,10]]}},"alternative-id":["74"],"URL":"https:\/\/doi.org\/10.1007\/s10827-008-0074-x","relation":{},"ISSN":["0929-5313","1573-6873"],"issn-type":[{"value":"0929-5313","type":"print"},{"value":"1573-6873","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,2,8]]}}}