{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,25]],"date-time":"2025-10-25T12:06:31Z","timestamp":1761393991543},"reference-count":38,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2010,12,17]],"date-time":"2010-12-17T00:00:00Z","timestamp":1292544000000},"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":[[2011,8]]},"DOI":"10.1007\/s10827-010-0302-z","type":"journal-article","created":{"date-parts":[[2010,12,16]],"date-time":"2010-12-16T12:47:34Z","timestamp":1292503654000},"page":"61-71","source":"Crossref","is-referenced-by-count":7,"title":["Firing responses of bursting neurons with delayed feedback"],"prefix":"10.1007","volume":"31","author":[{"given":"Hui-Ying","family":"Wu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter A.","family":"Robinson","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jong Won","family":"Kim","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,12,17]]},"reference":[{"key":"302_CR1","doi-asserted-by":"crossref","first-page":"670","DOI":"10.1137\/050629367","volume":"5","author":"FM Attay","year":"2006","unstructured":"Attay, F. M., & Hutt, A. (2006). Neural fields with distributed transmission speeds and long-range feedback delays. SIAM Journal of Applied Dynamical Systems, 5, 670\u2013698.","journal-title":"SIAM Journal of Applied Dynamical Systems"},{"key":"302_CR2","doi-asserted-by":"crossref","first-page":"188101:1\u20134","DOI":"10.1103\/PhysRevLett.94.188101","volume":"94","author":"I Belykh","year":"2005","unstructured":"Belykh, I., de Lange, E., & Hasler, M. (2005). Synchronization of bursting neurons: What matters in the network topology. Physical Review Letters, 94, 188101:1\u20134.","journal-title":"Physical Review Letters"},{"key":"302_CR3","volume-title":"Time delays in neural systems. Neuronal dynamics and brain connectivity","author":"SA Campbell","year":"2007","unstructured":"Campbell, S. A. (2007). Time delays in neural systems. Neuronal dynamics and brain connectivity. Berlin: Springer."},{"key":"302_CR4","doi-asserted-by":"crossref","first-page":"771","DOI":"10.1126\/science.274.5288.771","volume":"274","author":"D Contreras","year":"1996","unstructured":"Contreras, D., Destexhe, A., Sejnowski, T. J., & Steriade, M. (1996). Control of spatiotemporal coherence of a thalamic oscillation by corticothalamic feedback. Science, 274, 771\u2013774.","journal-title":"Science"},{"key":"302_CR5","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1113\/jphysiol.1996.sp021133","volume":"490","author":"D Contreras","year":"1996","unstructured":"Contreras, D., & Steriade, M. (1996). Spindle oscillation in cats: The role of corticothalamic feedback in a thalamically generated rhythm. Journal of Physiology, 490, 159\u2013179.","journal-title":"Journal of Physiology"},{"key":"302_CR6","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1152\/jn.00037.2009","volume":"102","author":"J Cui","year":"2009","unstructured":"Cui, J., Canavier, C. C., & Butera, R. J. (2009). Functional phase response curves: A method for understanding synchronization of adapting neurons. Journal of Neurophysiology, 102, 387\u2013398.","journal-title":"Journal of Neurophysiology"},{"key":"302_CR7","doi-asserted-by":"crossref","first-page":"e1000092","DOI":"10.1371\/journal.pcbi.1000092","volume":"4","author":"G Deco","year":"2008","unstructured":"Deco, G., Jirsa, V. K., Robinson, P. A., Breakspear, M., & Friston, K. (2008). The dynamics brain: From spiking neurons to neural masses and cortical fields. PLoS Computational Biology, 4, e1000092.","journal-title":"PLoS Computational Biology"},{"key":"302_CR8","first-page":"074104:1\u20134","volume":"92","author":"M Dhamala","year":"2004","unstructured":"Dhamala, M., Jirsa, V. K., & Ding, M. (2004). Enhancement of neural synchrony by time delay. Physical Review Letters, 92, 074104:1\u20134.","journal-title":"Physical Review Letters"},{"key":"302_CR9","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1038\/nature01360","volume":"421","author":"B Doiron","year":"2003","unstructured":"Doiron, B., Charcron, M. J., Maler, L., Longtin, A., & Bastian, J. (2003). Inhibitory feedback required for network oscillatory responses to communication but not prey stimuli. Nature, 421, 539\u2013543.","journal-title":"Nature"},{"key":"302_CR10","doi-asserted-by":"crossref","first-page":"1259","DOI":"10.1073\/pnas.95.3.1259","volume":"95","author":"GB Ermentrout","year":"1998","unstructured":"Ermentrout, G. B., & Kopell, N. (1998). Fine structure of neural spiking and synchronization in the presence of conduction delays. Proceedings of the National Academy of Sciences of the United States of America, 95, 1259\u20131264.","journal-title":"Proceedings of the National Academy of Sciences of the United States of America"},{"key":"302_CR11","doi-asserted-by":"crossref","first-page":"975","DOI":"10.1152\/jn.2000.84.2.975","volume":"84","author":"J Foss","year":"2000","unstructured":"Foss, J., & Milton, J. (2000). Multistability in recurrent neural loops arising from delay. Journal of Neurophysiology, 84, 975\u2013985.","journal-title":"Journal of Neurophysiology"},{"key":"302_CR12","doi-asserted-by":"crossref","first-page":"1022","DOI":"10.1523\/JNEUROSCI.21-03-01022.2001","volume":"21","author":"C Gutierrez","year":"2001","unstructured":"Gutierrez, C., Cox, L. C., Rinzel, J., & Sherman, S. M. (2001). Dynamics of low-threshold spike activation in relay neurons of the cat lateral geniculate nucleus. Journal of Neuroscience, 21, 1022\u20131032.","journal-title":"Journal of Neuroscience"},{"key":"302_CR13","volume-title":"Dynamical systems in neuroscience: The geometry of excitability and bursting","author":"EM Izhikevich","year":"2007","unstructured":"Izhikevich, E. M. (2007). Dynamical systems in neuroscience: The geometry of excitability and bursting. London: MIT Press."},{"key":"302_CR14","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1007\/BF00270757","volume":"15","author":"FH Lopes da Silva","year":"1974","unstructured":"Lopes da Silva, F. H., Hoeks, A., Smits, H., & Zetterberg, L. H. (1974). Model of brain rhythmic activity, the alpha rhythm of the thalamus. Kybernetik, 15, 270\u2013237.","journal-title":"Kybernetik"},{"key":"302_CR15","doi-asserted-by":"crossref","first-page":"815","DOI":"10.1146\/annurev.physiol.63.1.815","volume":"63","author":"DA McCormick","year":"2001","unstructured":"McCormick, D. A., & Contreras, D. (2001). On the cellular and network bases of epileptic seizures. Annual Review of Physiology, 63, 815\u2013846.","journal-title":"Annual Review of Physiology"},{"key":"302_CR16","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/0306-4522(90)90225-S","volume":"39","author":"DA McCormick","year":"1990","unstructured":"McCormick, D. A., & Feeser, H. R. (1990). Functional implications of burst firing and single spike activity in lateral geniculate relay neurons. Neuroscience, 39, 103\u2013113.","journal-title":"Neuroscience"},{"key":"302_CR17","doi-asserted-by":"crossref","first-page":"1384","DOI":"10.1152\/jn.1992.68.4.1384","volume":"68","author":"DA McCormick","year":"1992","unstructured":"McCormick, D. A., & Huguenard, J. R. (1992). A model of the electrophysiological properties of thalamocortical relay neurons. Journal of Neurophysiology, 68, 1384\u20131400.","journal-title":"Journal of Neurophysiology"},{"key":"302_CR18","doi-asserted-by":"crossref","first-page":"1480","DOI":"10.1523\/JNEUROSCI.22-04-01480.2002","volume":"22","author":"KM Meeren","year":"2002","unstructured":"Meeren, K. M., Pijn, J. P. M., van Luijtelaar, E. L. J. M., Coenen, A. M. L., & Lopes da Silva, F. H. (2002). Cortical focus drives widespread corticothalamic networks during spontaneous absence seizures in rats. Journal of Neuroscience, 22, 1480\u20131495.","journal-title":"Journal of Neuroscience"},{"key":"302_CR19","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1109\/TBME.1974.324336","volume":"21","author":"PL Nunez","year":"1974","unstructured":"Nunez, P. L. (1974). Wave-like properties of the alpha rhythm. IEEE Transactions on Biomedical Engineering, 21, 473\u2013482.","journal-title":"IEEE Transactions on Biomedical Engineering"},{"key":"302_CR20","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1137\/0140012","volume":"40","author":"RE Plant","year":"1981","unstructured":"Plant, R. E. (1981). A Fritzhugh differential-difference equation modeling recurrent neural feedback. SIAM Journal of Applied Mathematics, 40, 150\u2013162.","journal-title":"SIAM Journal of Applied Mathematics"},{"key":"302_CR21","doi-asserted-by":"crossref","first-page":"011904:1\u201313","DOI":"10.1103\/PhysRevE.72.011904","volume":"72","author":"PA Robinson","year":"2005","unstructured":"Robinson, P. A. (2005). Propagator theory of brain dynamics. Physical Review E, 72, 011904:1\u201313.","journal-title":"Physical Review E"},{"key":"302_CR22","first-page":"041909:1\u201313","volume":"63","author":"PA Robinson","year":"2001","unstructured":"Robinson, P. A., Loxley, P. N., O\u2019Connor, S. C., & Rennie, C. J. (2001). Modal analysis of corticothalamic dynamics, electroencephalographic spectra, and evoked potentials. Physical Review E, 63, 041909:1\u201313.","journal-title":"Physical Review E"},{"key":"302_CR23","doi-asserted-by":"crossref","first-page":"041924:1\u20139","DOI":"10.1103\/PhysRevE.65.041924","volume":"65","author":"PA Robinson","year":"2002","unstructured":"Robinson, P. A., Rennie, C. J., & Rowe, D. L. (2002). Dynamics of large-scale brain activity in normal arousal states and epileptic seizures. Physical Review E, 65, 041924:1\u20139.","journal-title":"Physical Review E"},{"key":"302_CR24","doi-asserted-by":"crossref","first-page":"826","DOI":"10.1103\/PhysRevE.56.826","volume":"56","author":"PA Robinson","year":"1997","unstructured":"Robinson, P. A., Rennie, C. J., & Wright, J. J. (1997). Propagation and stability of waves of electrical activity in the cerebral cortex. Physical Review E, 56, 826\u2013840.","journal-title":"Physical Review E"},{"key":"302_CR25","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1002\/hbm.20032","volume":"23","author":"PA Robinson","year":"2004","unstructured":"Robinson, P. A., Rennie, C. J., Rowe, D. L., & O\u2019Connor, S. C. (2004). Estimation of multiscale neurophysiologic parameters by electroencephalographic means. Human Brain Mapping, 23, 53\u201372.","journal-title":"Human Brain Mapping"},{"key":"302_CR26","doi-asserted-by":"crossref","first-page":"S74","DOI":"10.1038\/sj.npp.1300143","volume":"28","author":"PA Robinson","year":"2003","unstructured":"Robinson, P. A., Rennie, C. J., Rowe, D. L., O\u2019Connor, S. C., Wright, J. J., Gorden, E., et al. (2003a). Neurophysical modeling of brain dynamics. Neuropsychopharmacology, 28, S74\u2013S79.","journal-title":"Neuropsychopharmacology"},{"key":"302_CR27","doi-asserted-by":"crossref","first-page":"021922:1\u201310","DOI":"10.1103\/PhysRevE.68.021922","volume":"68","author":"PA Robinson","year":"2003","unstructured":"Robinson, P. A., Whitehouse, R. W., & Rennie, C. J. (2003b). Nonuniform corticothalamic continuum model of electroencephalographic spectra with application to split-alpha peaks. Physical Review E, 68, 021922:1\u201310.","journal-title":"Physical Review E"},{"key":"302_CR28","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1016\/j.jtbi.2007.10.020","volume":"250","author":"PA Robinson","year":"2007","unstructured":"Robinson, P. A., Wu, H., & Kim, J. W. (2007). Neural rate equations for bursting dynamics derived from conductance-based equations. Journal of Theoretical Biology, 250, 663\u2013672.","journal-title":"Journal of Theoretical Biology"},{"key":"302_CR29","doi-asserted-by":"crossref","DOI":"10.1093\/acprof:oso\/9780195159561.001.1","volume-title":"The synaptic organization of the brain","author":"GM Shepherd","year":"2004","unstructured":"Shepherd, G. M. (2004). The synaptic organization of the brain. New York: Oxford University Press."},{"key":"302_CR30","doi-asserted-by":"crossref","first-page":"1739","DOI":"10.1098\/rstb.2002.1170","volume":"357","author":"AM Sillito","year":"2002","unstructured":"Sillito, A. M., & Jones, H. E. (2002). Corticothalamic interactions in the transfer of visual information. Philosophical Transactions of the Royal Society B, 357, 1739\u20131752.","journal-title":"Philosophical Transactions of the Royal Society B"},{"key":"302_CR31","volume-title":"Thalamic oscillations and signaling","author":"M Steriade","year":"1990","unstructured":"Steriade, M., Jones, E. G., & Llin\u00e0s, R. R. (1990). Thalamic oscillations and signaling. New York: Wiley."},{"key":"302_CR33","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1097\/00001756-199201000-00017","volume":"3","author":"T T\u00f3th","year":"1992","unstructured":"T\u00f3th, T., & Crunelli, V. (1992). Computer simulation of the pacemaker oscillations of thalamocortical cells. Neuroreport, 3, 65\u201368.","journal-title":"Neuroreport"},{"key":"302_CR34","doi-asserted-by":"crossref","first-page":"978","DOI":"10.1016\/S0006-3495(94)80879-3","volume":"66","author":"GV Wallenstein","year":"1994","unstructured":"Wallenstein, G. V. (1994). A model of the electrophysiological properties of nucleus reticularis thalamic neurons. Biophysical Journal, 66, 978\u2013988.","journal-title":"Biophysical Journal"},{"key":"302_CR35","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/0306-4522(94)90095-7","volume":"59","author":"XJ Wang","year":"1994","unstructured":"Wang, X. J. (1994). Multiple dynamical modes of thalamic relay neurons: Rhythmic bursting and intermittent phase-locking. Neuroscience, 59, 21\u201331.","journal-title":"Neuroscience"},{"key":"302_CR36","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1006\/jtbi.1999.1002","volume":"200","author":"HR Wilson","year":"1999","unstructured":"Wilson, H. R. (1999a). Simplified dynamics of human and mammalian neocortical neurons. Journal of Theoretical Biology, 200, 375\u2013388.","journal-title":"Journal of Theoretical Biology"},{"key":"302_CR37","volume-title":"Spikes, decisions, and actions","author":"HR Wilson","year":"1999","unstructured":"Wilson, H. R. (1999b). Spikes, decisions, and actions. New York: Oxford University Press."},{"key":"302_CR38","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1017\/S0140525X00042679","volume":"19","author":"JJ Wright","year":"1996","unstructured":"Wright, J. J., & Liley, D. T. J. (1996). Dynamics of the brain at global and microscopic scales: Neural networks and the EEG. Behavioral and Brain Sciences, 19, 285\u2013309.","journal-title":"Behavioral and Brain Sciences"},{"key":"302_CR39","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/j.jtbi.2009.03.022","volume":"259","author":"H Wu","year":"2009","unstructured":"Wu, H., Kim, J. W., Robinson, P. A., & Drysdale, P. M. (2009). Firing pattern of bursting neurons under sinusoidal drive in mean-field modeling. Journal of Theoretical Biology, 259, 101\u2013108.","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\/s10827-010-0302-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10827-010-0302-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10827-010-0302-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,7]],"date-time":"2019-06-07T04:11:22Z","timestamp":1559880682000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10827-010-0302-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,12,17]]},"references-count":38,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,8]]}},"alternative-id":["302"],"URL":"https:\/\/doi.org\/10.1007\/s10827-010-0302-z","relation":{},"ISSN":["0929-5313","1573-6873"],"issn-type":[{"value":"0929-5313","type":"print"},{"value":"1573-6873","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,12,17]]}}}