{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T22:17:12Z","timestamp":1778624232546,"version":"3.51.4"},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2011,1,5]],"date-time":"2011-01-05T00:00:00Z","timestamp":1294185600000},"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":[[2011,10]]},"DOI":"10.1007\/s10827-010-0305-9","type":"journal-article","created":{"date-parts":[[2011,1,4]],"date-time":"2011-01-04T00:52:32Z","timestamp":1294102352000},"page":"185-197","source":"Crossref","is-referenced-by-count":48,"title":["The variance of phase-resetting curves"],"prefix":"10.1007","volume":"31","author":[{"given":"G. Bard","family":"Ermentrout","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"suffix":"II","given":"Bryce","family":"Beverlin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Todd","family":"Troyer","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Theoden I.","family":"Netoff","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,1,5]]},"reference":[{"key":"305_CR1","doi-asserted-by":"publisher","first-page":"11911","DOI":"10.1103\/PhysRevE.80.011911","volume":"80","author":"A Abouzeid","year":"2009","unstructured":"Abouzeid, A., & Ermentrout, B. (2009). Type-ii phase resetting curve is optimal for stochastic synchrony. Physical Review E, 80, 011911.","journal-title":"Physical Review E"},{"issue":"16","key":"305_CR2","doi-asserted-by":"publisher","first-page":"5218","DOI":"10.1523\/JNEUROSCI.0426-09.2009","volume":"29","author":"S Achuthan","year":"2009","unstructured":"Achuthan, S., & Canavier, C. C. (2009). Phase-resetting curves determine synchronization, phase locking, and clustering in networks of neural oscillators. The Journal of Neuroscience, 29(16), 5218\u20135233.","journal-title":"The Journal of Neuroscience"},{"key":"305_CR3","doi-asserted-by":"publisher","first-page":"4278","DOI":"10.1103\/PhysRevLett.86.4278","volume":"86","author":"JT Ariaratnam","year":"2001","unstructured":"Ariaratnam, J. T., & Strogatz, S.\u00a0H. (2001). Phase diagram for the winfree model of coupled nonlinear oscillators. Physical Review Letters, 86, 4278\u20134281.","journal-title":"Physical Review Letters"},{"key":"305_CR4","doi-asserted-by":"publisher","first-page":"673","DOI":"10.1162\/089976604322860668","volume":"16","author":"E Brown","year":"2004","unstructured":"Brown, E., Moehlis, J., & Holmes, P. (2004). On the phase reduction and response dynamics of neural oscillator populations. Neural Computation, 16, 673\u2013715.","journal-title":"Neural Computation"},{"key":"305_CR5","doi-asserted-by":"publisher","first-page":"897","DOI":"10.1114\/1.1408929","volume":"29","author":"AD Dorval","year":"2001","unstructured":"Dorval, A. D., Christini, D. J., & White, J. A. (2001). Real-time linux dynamic clamp: A fast and flexible way to construct virtual ion channels in living cells. Annals of Biomedical Engineering, 29, 897\u2013907.","journal-title":"Annals of Biomedical Engineering"},{"key":"305_CR6","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1007\/s10827-005-5427-0","volume":"20","author":"B Ermentrout","year":"2006","unstructured":"Ermentrout, B., & Saunders, D. (2006). Phase resetting and coupling of noisy neural oscillators. Journal of Computational Neuroscience, 20, 179\u2013190.","journal-title":"Journal of Computational Neuroscience"},{"key":"305_CR7","doi-asserted-by":"publisher","first-page":"521","DOI":"10.1016\/j.jtbi.2004.04.043","volume":"230","author":"DB Forger","year":"2004","unstructured":"Forger, D. B., & Paydarfar, D. (2004). Starting, stopping, and resetting biological oscillators: In search of optimum perturbations. Journal of Theoretical Biology, 230, 521\u2013532.","journal-title":"Journal of Theoretical Biology"},{"key":"305_CR8","doi-asserted-by":"publisher","first-page":"158101","DOI":"10.1103\/PhysRevLett.94.158101","volume":"94","author":"RF Galan","year":"2005","unstructured":"Galan, R. F., Ermentrout, G. B., & Urban, N. N. (2005). Efficient estimation of phase-resetting curves in real neurons and its significance for neural-network modeling. Physical Review Letters, 94, 158101.","journal-title":"Physical Review Letters"},{"key":"305_CR9","volume-title":"Handbook of stochastic methods for physics, chemistry and the natural sciences. Springer Series in Synergetics (Vol.\u00a013)","author":"CW Gardiner","year":"2004","unstructured":"Gardiner, C. W. (2004). Handbook of stochastic methods for physics, chemistry and the natural sciences. Springer Series in Synergetics (Vol.\u00a013). Berlin: Springer."},{"issue":"3","key":"305_CR10","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1016\/S0167-2789(01)00374-8","volume":"163","author":"P Goel","year":"2002","unstructured":"Goel, P., & Ermentrout, B. (2002). Synchrony, stability, and firing patterns in pulse-coupled oscillators. Physica D, 163(3), 191\u2013216.","journal-title":"Physica D"},{"key":"305_CR11","doi-asserted-by":"crossref","first-page":"1199","DOI":"10.1152\/jn.1997.78.3.1199","volume":"78","author":"D Golomb","year":"1997","unstructured":"Golomb, D., & Amitai, Y. (1997). Propagating neuronal discharges in neocortical slices: Computational and experimental study. Journal of Neurophysiology, 78, 1199\u20131211.","journal-title":"Journal of Neurophysiology"},{"key":"305_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF02154750","volume":"14","author":"MR Guevara","year":"1982","unstructured":"Guevara, M. R., & Glass, L. (1982). Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: A theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias. Journal of Mathematical Biology, 14, 1\u201323.","journal-title":"Journal of Mathematical Biology"},{"key":"305_CR13","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-5317-4","volume-title":"Handbook of mathematics and computational science","author":"JJ Harris","year":"1998","unstructured":"Harris, J. J., & Stocker, H. (1998). Handbook of mathematics and computational science. New York: Springer."},{"key":"305_CR14","doi-asserted-by":"publisher","first-page":"32","DOI":"10.3792\/pja\/1195572371","volume":"22","author":"K Ito","year":"1946","unstructured":"Ito, K. (1946). On a stochastic integral equation. Proceedings of the Japan Academy, 22, 32\u201335.","journal-title":"Proceedings of the Japan Academy"},{"key":"305_CR15","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-12616-5","volume-title":"Numerical solution of stochastic differential equations. Applications of Mathematics (New York) (Vol.\u00a023)","author":"PE Kloeden","year":"1992","unstructured":"Kloeden, P. E., & Platen, E. (1992). Numerical solution of stochastic differential equations. Applications of Mathematics (New York) (Vol.\u00a023). Berlin: Springer."},{"key":"305_CR16","doi-asserted-by":"crossref","unstructured":"Kuramoto, Y. (1984). Chemical oscillations, waves, and turbulence. Dover Publications.","DOI":"10.1007\/978-3-642-69689-3"},{"key":"305_CR17","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1007\/s10827-008-0120-8","volume":"26","author":"C Ly","year":"2009","unstructured":"Ly, C., & Ermentrout, G. B. (2009). Synchronization dynamics of two coupled neural oscillators receiving shared and unshared noisy stimuli. Journal of Computational Neuroscience, 26, 425\u2013443.","journal-title":"Journal of Computational Neuroscience"},{"key":"305_CR18","doi-asserted-by":"publisher","first-page":"11911","DOI":"10.1103\/PhysRevE.81.011911","volume":"81","author":"C Ly","year":"2010","unstructured":"Ly, C., & Ermentrout, G.\u00a0B. (2010). Coupling regularizes individual units in noisy populations. Physical Review E, 81, 11911.","journal-title":"Physical Review E"},{"key":"305_CR19","doi-asserted-by":"publisher","first-page":"287","DOI":"10.1007\/s10827-005-0336-9","volume":"18","author":"TI Netoff","year":"2005","unstructured":"Netoff, T. I., Acker, C. D., Bettencourt, J. C., & White, J. A. (2005a). Beyond two-cell networks: Experimental measurement of neuronal responses to multiple synaptic inputs. Journal of Computational Neuroscience, 18, 287\u2013295.","journal-title":"Journal of Computational Neuroscience"},{"key":"305_CR20","doi-asserted-by":"publisher","first-page":"1197","DOI":"10.1152\/jn.00982.2004","volume":"93","author":"TI Netoff","year":"2005","unstructured":"Netoff, T. I., Banks, M. I., Dorval, A. D., Acker, C. D., Haas, J. S., Kopell, N., et al. (2005b). Synchronization in hybrid neuronal networks of the hippocampal formation. Journal of Neurophysiology, 93, 1197\u20131208.","journal-title":"Journal of Neurophysiology"},{"issue":"2","key":"305_CR21","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1137\/0137022","volume":"37","author":"JC Neu","year":"1979","unstructured":"Neu, J. C. (1979). Coupled chemical oscillators. SIAM Journal on Applied Mathematics, 37(2), 307\u2013315.","journal-title":"SIAM Journal on Applied Mathematics"},{"key":"305_CR22","doi-asserted-by":"publisher","first-page":"2617","DOI":"10.1162\/neco.2006.18.11.2617","volume":"18","author":"DD Pervouchine","year":"2006","unstructured":"Pervouchine, D. D., Netoff, T. I., Rotstein, H. G., White, J. A., Cunningham, M. O., Whittington, M. A., et al. (2006). Low-dimensional maps encoding dynamics in entorhinal cortex and hippocampus. Neural Computation, 18, 2617\u20132650.","journal-title":"Neural Computation"},{"key":"305_CR23","doi-asserted-by":"publisher","first-page":"59","DOI":"10.2307\/1402731","volume":"51","author":"RL Plackett","year":"1983","unstructured":"Plackett, R. L. (1983). Karl pearson and the chi-squared test. International Statistical Review, 51, 59\u201372.","journal-title":"International Statistical Review"},{"issue":"13","key":"305_CR24","doi-asserted-by":"publisher","first-page":"138103","DOI":"10.1103\/PhysRevLett.95.138103","volume":"95","author":"A Preyer","year":"2005","unstructured":"Preyer, A., & Butera, R. (2005). Neuronal oscillators in aplysia californica that demonstrate weak coupling in vitro. Physical Review Letters, 95(13), 138103.","journal-title":"Physical Review Letters"},{"key":"305_CR25","doi-asserted-by":"crossref","first-page":"1673","DOI":"10.1152\/jn.1993.69.5.1673","volume":"69","author":"AD Reyes","year":"1993","unstructured":"Reyes, A. D., & Fetz, E. E. (1993). Effects of transient depolarizing potentials on the firing rate of cat neocortical neurons. Journal of Neurophysiology, 69, 1673\u20131683.","journal-title":"Journal of Neurophysiology"},{"key":"305_CR26","doi-asserted-by":"publisher","first-page":"1515","DOI":"10.1088\/0951-7715\/13\/5\/306","volume":"13","author":"R Stoop","year":"2000","unstructured":"Stoop, R., Schindler, K., & Bunimovich, L.\u00a0A. (2000). Neocortical networks of pyramidal neurons: From local locking and chaos to macroscopic chaos and synchronization. Nonlinearity, 13, 1515\u20131529.","journal-title":"Nonlinearity"},{"key":"305_CR27","doi-asserted-by":"crossref","unstructured":"Torben-Nielsen, B., Uusisaari, M., & Stiefel, K. (2010). A comparison of methods to determine neuronal phase-response curves. Frontiers in Neuroinformatics, 4(6).","DOI":"10.3389\/fninf.2010.00006"},{"key":"305_CR28","first-page":"28","volume":"34","author":"BL Welch","year":"1947","unstructured":"Welch, B. L. (1947). The generalization of student\u2019s problem when several different population variances are involved. Biometrika, 34, 28\u201335.","journal-title":"Biometrika"},{"key":"305_CR29","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1016\/0022-5193(67)90051-3","volume":"16","author":"AT Winfree","year":"1967","unstructured":"Winfree, A. T. (1967). Biological rhythms and the behavior of populations of coupled oscillators. Journal of Theoretical Biology, 16, 15\u201342.","journal-title":"Journal of Theoretical Biology"}],"container-title":["Journal of Computational Neuroscience"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10827-010-0305-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10827-010-0305-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10827-010-0305-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10827-010-0305-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,2,17]],"date-time":"2020-02-17T18:21:47Z","timestamp":1581963707000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10827-010-0305-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1,5]]},"references-count":29,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2011,10]]}},"alternative-id":["305"],"URL":"https:\/\/doi.org\/10.1007\/s10827-010-0305-9","relation":{},"ISSN":["0929-5313","1573-6873"],"issn-type":[{"value":"0929-5313","type":"print"},{"value":"1573-6873","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,1,5]]}}}