{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T07:30:11Z","timestamp":1777707011916,"version":"3.51.4"},"reference-count":38,"publisher":"Public Library of Science (PLoS)","issue":"4","license":[{"start":{"date-parts":[[2011,4,21]],"date-time":"2011-04-21T00:00:00Z","timestamp":1303344000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"DOI":"10.1371\/journal.pcbi.1001124","type":"journal-article","created":{"date-parts":[[2011,4,21]],"date-time":"2011-04-21T16:42:46Z","timestamp":1303404166000},"page":"e1001124","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":22,"title":["Quantifying the Relative Contributions of Divisive and Subtractive Feedback to Rhythm Generation"],"prefix":"10.1371","volume":"7","author":[{"given":"Jo\u00ebl","family":"Tabak","sequence":"first","affiliation":[]},{"given":"John","family":"Rinzel","sequence":"additional","affiliation":[]},{"given":"Richard","family":"Bertram","sequence":"additional","affiliation":[]}],"member":"340","published-online":{"date-parts":[[2011,4,21]]},"reference":[{"key":"ref1","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1126\/science.1156951","article-title":"Robust, tunable biological oscillations from interlinked positive and negative feedback loops.","volume":"321","author":"TY Tsai","year":"2008","journal-title":"Science"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"7328","DOI":"10.1073\/pnas.88.16.7328","article-title":"Modeling the cell division cycle: cdc2 and cyclin interactions.","volume":"88","author":"JJ Tyson","year":"1991","journal-title":"Proc Natl Acad Sci U S A"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"763","DOI":"10.1080\/14786441108564652","article-title":"The heartbeat considered as a relaxation oscillation, and an electrical model of the heart.","volume":"6","author":"B van der Pol","year":"1928","journal-title":"Phil Mag"},{"key":"ref4","article-title":"Analysis of neural excitability and oscillations.","author":"J Rinzel","year":"1989"},{"key":"ref5","doi-asserted-by":"crossref","first-page":"2015","DOI":"10.1529\/biophysj.105.076554","article-title":"A model for the circadian rhythm of cyanobacteria that maintains oscillation without gene expression.","volume":"91","author":"G Kurosawa","year":"2006","journal-title":"Biophys J"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"1302","DOI":"10.1016\/S0006-3495(72)86164-2","article-title":"Dissipative structures for an allosteric model. Application to glycolytic oscillations.","volume":"12","author":"A Goldbeter","year":"1972","journal-title":"Biophys J"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"3041","DOI":"10.1523\/JNEUROSCI.20-08-03041.2000","article-title":"Modeling of spontaneous activity in developing spinal cord using activity-dependent depression in an excitatory network.","volume":"20","author":"J Tabak","year":"2000","journal-title":"J Neurosci"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1007\/s10827-006-8862-7","article-title":"Differential control of active and silent phases in relaxation models of neuronal rhythms.","volume":"21","author":"J Tabak","year":"2006","journal-title":"J Comput Neurosci"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"462","DOI":"10.1152\/jn.00604.2006","article-title":"Dynamical characteristics common to neuronal competition models.","volume":"97","author":"A Shpiro","year":"2007","journal-title":"J Neurophysiol"},{"key":"ref10","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898718195","article-title":"Simulating, analyzing, and animating dynamical systems.","author":"B Ermentrout","year":"2002"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1038\/651","article-title":"Presynaptic modulation of CA3 network activity.","volume":"1","author":"KJ Staley","year":"1998","journal-title":"Nat Neurosci"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"2102","DOI":"10.1523\/JNEUROSCI.19-06-02102.1999","article-title":"Spontaneous network activity transiently depresses synaptic transmission in the embryonic chick spinal cord.","volume":"19","author":"B Fedirchuk","year":"1999","journal-title":"J Neurosci"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"2166","DOI":"10.1152\/jn.2001.85.5.2166","article-title":"Post-episode depression of GABAergic transmission in spinal neurons of the chick embryo.","volume":"85","author":"N Chub","year":"2001","journal-title":"J Neurophysiol"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1046\/j.1460-9568.2002.01904.x","article-title":"Mechanisms controlling bursting activity induced by disinhibition in spinal cord networks.","volume":"15","author":"P Darbon","year":"2002","journal-title":"Eur J Neurosci"},{"key":"ref15","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1016\/j.jtbi.2011.01.042","article-title":"Slow variable dominance and phase resetting in phantom bursting.","volume":"276","author":"M Watts","year":"2011","journal-title":"J Theor Biol"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"031105","DOI":"10.1103\/PhysRevE.72.031105","article-title":"Two distinct mechanisms of coherence in randomly perturbed dynamical systems.","volume":"72","author":"RE DeVille","year":"2005","journal-title":"Phys Rev E Stat Nonlin Soft Matter Phys"},{"issue":"Pt2","key":"ref17","doi-asserted-by":"crossref","first-page":"489","DOI":"10.1113\/jphysiol.1995.sp021067","article-title":"Experimentally derived model for the locomotor pattern generator in the Xenopus embryo.","volume":"489","author":"N Dale","year":"1995","journal-title":"J Physiol"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"2465","DOI":"10.1152\/jn.00717.2003","article-title":"Sodium along with low-threshold potassium currents enhance coincidence detection of subthreshold noisy signals in MSO neurons.","volume":"91","author":"G Svirskis","year":"2004","journal-title":"J Neurophysiol"},{"key":"ref19","doi-asserted-by":"crossref","first-page":"1314","DOI":"10.1152\/jn.00178.2010","article-title":"Inhibitory modulation of cortical up states.","volume":"104","author":"MV Sanchez-Vives","year":"2010","journal-title":"J Neurophysiol"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"500","DOI":"10.1113\/jphysiol.1952.sp004764","article-title":"A quantitative description of membrane current and its application to conduction and excitation in nerve.","volume":"117","author":"AL Hodgkin","year":"1952","journal-title":"J Physiol"},{"key":"ref21","first-page":"273","article-title":"Bursting in excitatory neural networks.","author":"J Tabak","year":"2005"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10827-009-0178-y","article-title":"Noise-induced transitions in slow wave neuronal dynamics.","volume":"28","author":"S Lim","year":"2010","journal-title":"J Comput Neurosci"},{"key":"ref23","doi-asserted-by":"crossref","first-page":"992","DOI":"10.1152\/jn.1993.69.3.992","article-title":"Dynamic clamp: computer-generated conductances in real neurons.","volume":"69","author":"AA Sharp","year":"1993","journal-title":"J Neurophysiol"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"218","DOI":"10.1016\/j.tins.2004.02.004","article-title":"The dynamic clamp comes of age.","volume":"27","author":"AA Prinz","year":"2004","journal-title":"Trends Neurosci"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"2857","DOI":"10.1152\/jn.00582.2006","article-title":"Hybrid systems analysis of the control of burst duration by low-voltage-activated calcium current in leech heart interneurons.","volume":"96","author":"A Olypher","year":"2006","journal-title":"J Neurophysiol"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"382","DOI":"10.1152\/jn.1999.82.1.382","article-title":"Models of respiratory rhythm generation in the pre-Botzinger complex. I. Bursting pacemaker neurons.","volume":"82","author":"RJ Butera Jr","year":"1999","journal-title":"J Neurophysiol"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"823","DOI":"10.1038\/445823a","article-title":"Bringing cartoons to life.","volume":"445","author":"JJ Tyson","year":"2007","journal-title":"Nature"},{"key":"ref28","doi-asserted-by":"crossref","first-page":"732","DOI":"10.1137\/040615535","article-title":"A computational tool for the reduction of nonlinear ODE systems possessing multiple scales.","volume":"4","author":"R Clewley","year":"2005","journal-title":"Multiscale Modeling & Simulation"},{"key":"ref29","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/s10827-008-0099-1","article-title":"Dominant ionic mechanisms explored in spiking and bursting using local low-dimensional reductions of a biophysically realistic model neuron.","volume":"26","author":"R Clewley","year":"2009","journal-title":"J Comput Neurosci"},{"key":"ref30","doi-asserted-by":"crossref","first-page":"542","DOI":"10.1038\/229542a0","article-title":"Parameter sensitivity as a criterion for evaluating and comparing the performance of biochemical systems.","volume":"229","author":"MA Savageau","year":"1971","journal-title":"Nature"},{"key":"ref31","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1042\/bj2860313","article-title":"Metabolic control analysis: a survey of its theoretical and experimental development.","volume":"2)","author":"DA Fell","year":"1992","journal-title":"Biochem J 286 (Pt"},{"key":"ref32","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1049\/sb:20045035","article-title":"Analysing the robustness of cellular rhythms.","volume":"2","author":"J Wolf","year":"2005","journal-title":"Syst Biol (Stevenage)"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/S0006-3495(02)75377-0","article-title":"Control analysis for autonomously oscillating biochemical networks.","volume":"82","author":"KA Reijenga","year":"2002","journal-title":"Biophys J"},{"key":"ref34","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1186\/1748-7188-1-11","article-title":"Inverse bifurcation analysis: application to simple gene systems.","volume":"1","author":"J Lu","year":"2006","journal-title":"Algorithms Mol Biol"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"2502","DOI":"10.1152\/jn.1993.70.6.2502","article-title":"Significance of conductances in Hodgkin-Huxley models.","volume":"70","author":"WR Foster","year":"1993","journal-title":"J Neurophysiol"},{"key":"ref36","doi-asserted-by":"crossref","first-page":"5573","DOI":"10.1523\/JNEUROSCI.4438-08.2009","article-title":"How multiple conductances determine electrophysiological properties in a multicompartment model.","volume":"29","author":"AL Taylor","year":"2009","journal-title":"J Neurosci"},{"key":"ref37","doi-asserted-by":"crossref","first-page":"3998","DOI":"10.1152\/jn.00641.2003","article-title":"Alternative to hand-tuning conductance-based models: construction and analysis of databases of model neurons.","volume":"90","author":"AA Prinz","year":"2003","journal-title":"J Neurophysiol"},{"key":"ref38","doi-asserted-by":"crossref","first-page":"1345","DOI":"10.1038\/nn1352","article-title":"Similar network activity from disparate circuit parameters.","volume":"7","author":"AA Prinz","year":"2004","journal-title":"Nat Neurosci"}],"container-title":["PLoS Computational Biology"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/dx.plos.org\/10.1371\/journal.pcbi.1001124","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,10]],"date-time":"2019-06-10T02:09:53Z","timestamp":1560132593000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1001124"}},"subtitle":[],"editor":[{"given":"Boris S.","family":"Gutkin","sequence":"first","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2011,4,21]]},"references-count":38,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2011,4,21]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pcbi.1001124","relation":{},"ISSN":["1553-7358"],"issn-type":[{"value":"1553-7358","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,4,21]]}}}