{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T07:01:46Z","timestamp":1768287706805,"version":"3.49.0"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2010,2,25]],"date-time":"2010-02-25T00:00:00Z","timestamp":1267056000000},"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":[[2010,6]]},"DOI":"10.1007\/s10827-010-0227-6","type":"journal-article","created":{"date-parts":[[2010,2,24]],"date-time":"2010-02-24T11:42:18Z","timestamp":1267011738000},"page":"459-476","source":"Crossref","is-referenced-by-count":25,"title":["Reduced models for binocular rivalry"],"prefix":"10.1007","volume":"28","author":[{"given":"Carlo R.","family":"Laing","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"Frewen","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ioannis G.","family":"Kevrekidis","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,2,25]]},"reference":[{"key":"227_CR1","doi-asserted-by":"crossref","unstructured":"Ashwin, P., & Lavric, A. (2010). A low-dimensional model of binocular rivalry using winnerless competition. Physica D (in press).","DOI":"10.1016\/j.physd.2009.06.018"},{"key":"227_CR2","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1049\/iet-syb:20060087","volume":"2","author":"A Bahraminasab","year":"2008","unstructured":"Bahraminasab, A., Kenwright, D., Stefanovska, A., Ghasemi, F., & McClintock, P. (2008). Phase coupling in the cardiorespiratory interaction. IET Systems Biology, 2, 48\u201354.","journal-title":"IET Systems Biology"},{"issue":"10","key":"227_CR3","doi-asserted-by":"crossref","first-page":"2197","DOI":"10.1162\/0899766041732396","volume":"16","author":"Y Bengio","year":"2004","unstructured":"Bengio, Y., Delalleau, O., Le\u00a0Roux, N., Paiement, J., Vincent, P., & Ouimet, M. (2004). Learning eigenfunctions links spectral embedding and kernel PCA. Neural Computation, 16(10), 2197\u20132219.","journal-title":"Neural Computation"},{"issue":"1","key":"227_CR4","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1023\/A:1017925416289","volume":"2","author":"R Blake","year":"2001","unstructured":"Blake, R. (2001). A primer on binocular rivalry, including current controversies. Brain and Mind, 2(1), 5\u201338.","journal-title":"Brain and Mind"},{"issue":"1","key":"227_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1038\/nrn701","volume":"3","author":"R Blake","year":"2002","unstructured":"Blake, R., & Logothetis. N., (2002) Visual competition. Nature Reviews Neuroscience, 3(1), 1\u201311.","journal-title":"Nature Reviews Neuroscience"},{"issue":"20","key":"227_CR6","doi-asserted-by":"crossref","first-page":"7757","DOI":"10.1073\/pnas.0401906101","volume":"101","author":"D Cai","year":"2004","unstructured":"Cai, D., Tao, L., Shelley, M., & McLaughlin, D. (2004). An effective kinetic representation of fluctuation-driven neuronal networks with application to simple and complex cells in visual cortex. Proceedings of the National Academy of Sciences of the United States of America, 101(20), 7757.","journal-title":"Proceedings of the National Academy of Sciences of the United States of America"},{"issue":"1","key":"227_CR7","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1016\/j.acha.2006.04.006","volume":"21","author":"R Coifman","year":"2006","unstructured":"Coifman, R., & Lafon, S. (2006). Diffusion maps. Applied and Computational Harmonic Analysis, 21(1), 5\u201330.","journal-title":"Applied and Computational Harmonic Analysis"},{"issue":"5","key":"227_CR8","doi-asserted-by":"crossref","first-page":"1119","DOI":"10.1162\/089976698300017377","volume":"10","author":"P Dayan","year":"1998","unstructured":"Dayan, P. (1998). A hierarchical model of binocular rivalry. Neural Computation, 10(5), 1119\u20131135.","journal-title":"Neural Computation"},{"issue":"155","key":"227_CR9","first-page":"103","volume":"126","author":"R Erban","year":"2007","unstructured":"Erban, R., Frewen, T., Wang, X., Elston, T., Coifman, R., Nadler, B., et al. (2007). Variable-free exploration of stochastic models: A gene regulatory network example. The Journal of Chemical Physics, 126, 155,103.","journal-title":"The Journal of Chemical Physics"},{"issue":"4","key":"227_CR10","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1162\/neco.1994.6.4.679","volume":"6","author":"B Ermentrout","year":"1994","unstructured":"Ermentrout, B. (1994), Reduction of conductance-based models with slow synapses to neural nets. Neural Computation, 6(4), 679\u2013695.","journal-title":"Neural Computation"},{"issue":"6","key":"227_CR11","doi-asserted-by":"crossref","first-page":"4412","DOI":"10.1152\/jn.00557.2005","volume":"94","author":"A Freeman","year":"2005","unstructured":"Freeman, A. (2005). Multistage model for binocular rivalry. Journal of Neurophysiology, 94(6), 4412\u20134420.","journal-title":"Journal of Neurophysiology"},{"issue":"3","key":"227_CR12","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/S0375-9601(00)00334-0","volume":"271","author":"R Friedrich","year":"2000","unstructured":"Friedrich, R., Siegert, S., Peinke, J., L\u00fcck, S., Siefert, M., Lindemann, M., et al. (2000). Extracting model equations from experimental data. Physics Letters A, 271(3), 217\u2013222.","journal-title":"Physics Letters A"},{"key":"227_CR13","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511815706","volume-title":"Spiking neuron models: An introduction","author":"W Gerstner","year":"2002","unstructured":"Gerstner, W., & Kistler, W. (2002). Spiking neuron models: An introduction. New York: Cambridge University Press."},{"issue":"3","key":"227_CR14","doi-asserted-by":"crossref","first-page":"3146","DOI":"10.1103\/PhysRevE.62.3146","volume":"62","author":"J Gradi\u0161ek","year":"2000","unstructured":"Gradi\u0161ek, J., Siegert, S., Friedrich, R., & Grabec, I. (2000). Analysis of time series from stochastic processes. Physical Review E, 62(3), 3146\u20133155.","journal-title":"Physical Review E"},{"issue":"21","key":"227_CR15","doi-asserted-by":"crossref","first-page":"2232","DOI":"10.1016\/j.visres.2008.06.024","volume":"48","author":"S Grossberg","year":"2008","unstructured":"Grossberg, S., Yazdanbakhsh, A., Cao, Y., & Swaminathan, G. (2008). How does binocular rivalry emerge from cortical mechanisms of 3-D vision? Vision Research, 48(21), 2232\u20132250.","journal-title":"Vision Research"},{"issue":"2","key":"227_CR16","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1023\/A:1012837415096","volume":"11","author":"B Gutkin","year":"2001","unstructured":"Gutkin, B., Laing, C., Colby, C., Chow, C., & Ermentrout, G. (2001). Turning on and off with excitation: The role of spike-timing asynchrony and synchrony in sustained neural activity. Journal of Computational Neuroscience, 11(2), 121\u2013134.","journal-title":"Journal of Computational Neuroscience"},{"key":"227_CR17","volume-title":"Principal component analysis","author":"I Jolliffe","year":"2002","unstructured":"Jolliffe, I. (2002). Principal component analysis. New York: Springer"},{"issue":"1\u20132","key":"227_CR18","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1016\/0167-2789(90)90046-R","volume":"44","author":"M Jolly","year":"1990","unstructured":"Jolly, M., Kevrekidis, I., & Titi, E. (1990). Approximate inertial manifolds for the Kuramoto\u2013Sivashinsky equation: Analysis and computations. Physica D, 44(1\u20132), 38\u201360.","journal-title":"Physica D"},{"key":"227_CR19","doi-asserted-by":"crossref","first-page":"843","DOI":"10.1016\/S0925-2312(00)00252-6","volume":"32\u201333","author":"G Kalarickal","year":"2000","unstructured":"Kalarickal, G., & Marshall, J. (2000). Neural model of temporal and stochastic properties of binocular rivalry. Neurocomputing, 32\u201333, 843\u2013853.","journal-title":"Neurocomputing"},{"issue":"4","key":"227_CR20","doi-asserted-by":"crossref","first-page":"715","DOI":"10.4310\/CMS.2003.v1.n4.a5","volume":"1","author":"I Kevrekidis","year":"2003","unstructured":"Kevrekidis, I., Gear, C., Hyman, J., Kevrekidis, P., Runborg, O., & Theodoropoulos, C. (2003). Equation-free, coarse-grained multiscale computation: Enabling microscopic simulators to perform system-level analysis. Communications in Mathematical Sciences, 1(4), 715\u2013762.","journal-title":"Communications in Mathematical Sciences"},{"issue":"6","key":"227_CR21","doi-asserted-by":"crossref","first-page":"61904","DOI":"10.1103\/PhysRevE.67.061904","volume":"67","author":"T Kuusela","year":"2003","unstructured":"Kuusela, T., Shepherd, T., & Hietarinta, J. (2003). Stochastic model for heart-rate fluctuations. Physical Review E, 67(6), 061,904.","journal-title":"Physical Review E"},{"key":"227_CR22","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1016\/S0925-2312(02)00408-3","volume":"44\u201346","author":"L Lago-Fernandez","year":"2002","unstructured":"Lago-Fernandez, L., & Deco, G. (2002). A model of binocular rivalry based on competition in IT. Neurocomputing, 44\u201346, 503\u2013507.","journal-title":"Neurocomputing"},{"issue":"1","key":"227_CR23","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1007\/s10827-006-3843-z","volume":"20","author":"C Laing","year":"2006","unstructured":"Laing, C. (2006). On the application of \u201cequation-free\u201d modelling to neural systems. Journal of Computational Neuroscience, 20(1), 5\u201323.","journal-title":"Journal of Computational Neuroscience"},{"issue":"7","key":"227_CR24","doi-asserted-by":"crossref","first-page":"1473","DOI":"10.1162\/089976601750264974","volume":"13","author":"C Laing","year":"2001","unstructured":"Laing, C., & Chow, C. (2001). Stationary bumps in networks of spiking neurons. Neural Computation, 13(7), 1473\u20131494.","journal-title":"Neural Computation"},{"issue":"1","key":"227_CR25","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1023\/A:1014942129705","volume":"12","author":"C Laing","year":"2002","unstructured":"Laing, C., & Chow, C. (2002). A spiking neuron model for binocular rivalry. Journal of Computational Neuroscience, 12(1), 39\u201353.","journal-title":"Journal of Computational Neuroscience"},{"issue":"9","key":"227_CR26","doi-asserted-by":"crossref","first-page":"2127","DOI":"10.1088\/0951-7715\/20\/9\/007","volume":"20","author":"C Laing","year":"2007","unstructured":"Laing, C., Frewen, T., & Kevrekidis, I. (2007). Coarse-grained dynamics of an activity bump in a neural field model. Nonlinearity, 20(9), 2127\u20132146.","journal-title":"Nonlinearity"},{"issue":"7","key":"227_CR27","doi-asserted-by":"crossref","first-page":"254","DOI":"10.1016\/S1364-6613(99)01332-7","volume":"3","author":"D Leopold","year":"1999","unstructured":"Leopold, D., & Logothetis, N. (1999). Multistable phenomena: Changing views in perception. Trends in Cognitive Sciences, 3(7), 254\u2013264.","journal-title":"Trends in Cognitive Sciences"},{"issue":"6575","key":"227_CR28","doi-asserted-by":"crossref","first-page":"621","DOI":"10.1038\/380621a0","volume":"380","author":"N Logothetis","year":"1996","unstructured":"Logothetis, N., Leopold, D., & Sheinberg, D. (1996) What is rivalling during binocular rivalry? Nature, 380(6575), 621\u2013624.","journal-title":"Nature"},{"key":"227_CR29","doi-asserted-by":"crossref","first-page":"10083","DOI":"10.1063\/1.1476929","volume":"116","author":"A Makeev","year":"2002","unstructured":"Makeev, A., Maroudas, D., & Kevrekidis, I. (2002). \u201cCoarse\u201d stability and bifurcation analysis using stochastic simulators: Kinetic Monte Carlo examples. The Journal of Chemical Physics, 116, 10,083.","journal-title":"The Journal of Chemical Physics"},{"issue":"23","key":"227_CR30","doi-asserted-by":"crossref","first-page":"986","DOI":"10.1016\/S0960-9822(01)00581-4","volume":"11","author":"E Marder","year":"2001","unstructured":"Marder, E., & Bucher, D. (2001). Central pattern generators and the control of rhythmic movements. Current Biology, 11(23), 986\u2013996.","journal-title":"Current Biology"},{"issue":"3","key":"227_CR31","doi-asserted-by":"crossref","first-page":"1125","DOI":"10.1152\/jn.00116.2007","volume":"98","author":"R Moreno-Bote","year":"2007","unstructured":"Moreno-Bote, R., Rinzel, J., & Rubin, N. (2007). Noise-induced alternations in an attractor network model of perceptual bistability. Journal of Neurophysiology, 98(3), 1125.","journal-title":"Journal of Neurophysiology"},{"issue":"3","key":"227_CR32","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1007\/s00422-005-0041-9","volume":"94","author":"A Mourik van","year":"2006","unstructured":"van Mourik, A., Daffertshofer, A., & Beek, P. (2006). Deterministic and stochastic features of rhythmic human movement. Biological Cybernetics, 94(3), 233\u2013244.","journal-title":"Biological Cybernetics"},{"key":"227_CR33","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/j.acha.2005.07.004","volume":"21","author":"B Nadler","year":"2006","unstructured":"Nadler, B., Lafon, S., Coifman, R., & Kevrekidis, I. (2006). Diffusion maps, spectral clustering and reaction coordinates of dynamical systems. Applied and Computational Harmonic Analysis, 21, 113\u2013127.","journal-title":"Applied and Computational Harmonic Analysis"},{"issue":"25","key":"227_CR34","doi-asserted-by":"crossref","first-page":"254501","DOI":"10.1103\/PhysRevLett.87.254501","volume":"87","author":"M Ragwitz","year":"2001","unstructured":"Ragwitz, M., & Kantz, H. (2001). Indispensable finite time corrections for Fokker\u2013Planck equations from time series data. Physical Review Letters, 87(25), 254,501.","journal-title":"Physical Review Letters"},{"issue":"1","key":"227_CR35","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11071-005-2790-3","volume":"41","author":"G Rega","year":"2005","unstructured":"Rega, G., & Troger, H. (2005). Dimension reduction of dynamical Systems: Methods, models, applications. Nonlinear Dynamics, 41(1), 1\u201315.","journal-title":"Nonlinear Dynamics"},{"issue":"2\u20133","key":"227_CR36","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1016\/j.resp.2004.03.020","volume":"143","author":"I Rybak","year":"2004","unstructured":"Rybak, I., Shevtsova, N., Paton, J., Dick, T., St-John, W., M\u00f6rschel, M., et al. (2004). Modeling the ponto-medullary respiratory network. Respiratory Physiology & Neurobiology, 143(2\u20133), 307\u2013319.","journal-title":"Respiratory Physiology & Neurobiology"},{"issue":"1","key":"227_CR37","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1007\/s10827-008-0125-3","volume":"27","author":"A Shpiro","year":"2009","unstructured":"Shpiro, A., Moreno-Bote, R., Rubin, N., & Rinzel, J. (2009). Balance between noise and adaptation in competition models of perceptual bistability. Journal of Computational Neuroscience, 27(1), 37\u201354.","journal-title":"Journal of Computational Neuroscience"},{"issue":"8","key":"227_CR38","doi-asserted-by":"crossref","first-page":"1809","DOI":"10.1162\/08997660360675053","volume":"15","author":"O Shriki","year":"2003","unstructured":"Shriki, O., Hansel, D., & Sompolinsky, H. (2003). Rate models for conductance-based cortical neuronal networks. Neural Computation, 15(8), 1809\u20131841.","journal-title":"Neural Computation"},{"issue":"12","key":"227_CR39","doi-asserted-by":"crossref","first-page":"2863","DOI":"10.1162\/089976603322518777","volume":"15","author":"L Stollenwerk","year":"2003","unstructured":"Stollenwerk, L., & Bode, M. (2003). Lateral neural model of binocular rivalry. Neural Computation, 15(12), 2863\u20132882.","journal-title":"Neural Computation"},{"issue":"11","key":"227_CR40","doi-asserted-by":"crossref","first-page":"502","DOI":"10.1016\/j.tics.2006.09.003","volume":"10","author":"F Tong","year":"2006","unstructured":"Tong, F., Meng, M., & Blake, R. (2006). Neural bases of binocular rivalry. Trends in Cognitive Sciences, 10(11), 502\u2013511.","journal-title":"Trends in Cognitive Sciences"},{"key":"227_CR41","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1093\/acprof:oso\/9780199235070.003.0007","volume-title":"Stochastic methods in neuroscience","author":"D Tranchina","year":"2009","unstructured":"Tranchina, D. (2009). Population density methods in large-scale neural network modelling. In C. Laing, & G. J. Lord (eds) Stochastic methods in neuroscience (pp. 181\u2013216). Oxford: Oxford University Press."},{"key":"227_CR42","doi-asserted-by":"crossref","first-page":"14499","DOI":"10.1073\/pnas.2333622100","volume":"100","author":"H Wilson","year":"2003","unstructured":"Wilson, H. (2003). Computational evidence for a rivalry hierarchy in vision. Proceedings of the National Academy of Sciences, USA, 100, 14,499\u201314,503.","journal-title":"Proceedings of the National Academy of Sciences, USA"},{"issue":"1","key":"227_CR43","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0006-3495(72)86068-5","volume":"12","author":"H Wilson","year":"1972","unstructured":"Wilson, H., & Cowan, J. (1972). Excitatory and inhibitory interactions in localized populations of model neurons. Biophysical Journal, 12(1), 1\u201324.","journal-title":"Biophysical Journal"}],"container-title":["Journal of Computational Neuroscience"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10827-010-0227-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10827-010-0227-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10827-010-0227-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T01:37:16Z","timestamp":1559266636000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10827-010-0227-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,2,25]]},"references-count":43,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2010,6]]}},"alternative-id":["227"],"URL":"https:\/\/doi.org\/10.1007\/s10827-010-0227-6","relation":{},"ISSN":["0929-5313","1573-6873"],"issn-type":[{"value":"0929-5313","type":"print"},{"value":"1573-6873","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,2,25]]}}}