Nancy Kopell | Profiles RNS

Nancy Kopell, PhD

Professor

Boston University College of Arts and Sciences

Mathematics and Statistics

PhD, University of California, Berkeley
MA, University of California, Berkeley
AB, Cornell University

Websites

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ORCID : 0000-0002-8568-8750

Nancy Kopell received her B.A. from Cornell University in 1963 and her Ph.D. from Berkeley in 1967. She is currently the William Fairfield Warren Distinguished Professor at Boston University, and co-director of the Center for Computational Neuroscience and Neural Technology (CompNet). She organized and directs the Cognitive Rhythms Collaborative (CRC), a group of over two dozen labs, mostly in the Boston Area, working on brain dyanmics and their cognitive implications.

Kopell's Ph.D. training was in pure mathematics, but she transitioned to applied mathematics shortly after receiving her degree. In the first part of her career, she worked on pattern formation in chemical systems, oscillating systems and problems involving the geometry of systems with multiple time scales. For the last two decades, she has worked on mathematical problems in neuroscience. Her current interests parallel the themes of the CRC: how does the brain produce its dynamics (physiological mechanisms), how do brain rhythms take part in cognition (sensory processing, attention, memory, motor control), and how can pathologies of brain dynamics help to understand symptoms of neurological diseases (Parkinson's disease, schizophrenia, epilepsy) as well as alternate states of consciousness (anesthesia). She collaborates widely with experimentalists and clinicians.

Kopell is a member of the National Academy of Sciences and the American Academy of Arts and Sciences. She was recently selected to be an honorary member of the London Mathematical Society, a distinction given to one or two mathematicians per year worldwide. She has been awarded Sloan Guggenheim, and McArthur Fellowships, and has an honory Ph.D. from the New Jersey Institute of Technology. She has given the Weldon Memorial Prize Lecture (Oxford), the von Neumann Lecture (SIAM) and the Josiah Willard Gibbs Lecture (AMS, as well as multiple other named lectureships.

Professor
Boston University Chobanian & Avedisian School of Medicine
Pharmacology, Physiology & Biophysics

Co-Director
Boston University
Engineering

BU Research
NIH RePORTER Research

The Cognitive Thalamus
04/03/2023 - 03/31/2025 (Subcontract PI)
The Trustees of Princeton University NIH NIMH
1P50MH132642-01

Circuits underlying threat and safety
04/15/2021 - 03/31/2025 (Multi-PI)
PI: Nancy Kopell, PhD
University of Southern California NIH NINDS
1U01NS122082-01

Probing the role of VIP interneurons in cell assemblies and brain rhythms in visual cortex
07/01/2021 - 09/30/2023 (PI)
President and Fellows of Harvard College

Neurobiology and dynamics of Active Sensing
04/15/2017 - 03/31/2023 (Subcontract PI)
Trustees Of Columbia University In The City Of New York NIH NIMH
5P50MH109429-05

Mathematical Modeling Studies of Anesthetic Action
02/10/2017 - 01/31/2023 (Subcontract PI)
Massachusetts General Hospital NIH NIGMS
5P01GM118269-05

Developmental origins of mental illness: evolution and reversibility
07/16/2020 - 08/31/2021 (Subcontract PI)
President and Fellows of Harvard College NIH NIMH
5P50MH094271-08

Role of REM Sleep in Emotional Memory Consolidation with Implications for Post-Traumatic Stress Disorder
06/16/2017 - 07/09/2020 (PI)
Department of Defense/ARO

Interaction of Time Scales in Forced Rhythmic Networks of Neurons
09/01/2015 - 08/31/2019 (PI)
National Science Foundation
DMS-1514796

Control of Thalamocortical Entrainment: Harnessing Brain Rhythms in Behavior & Cognition
02/18/2016 - 07/31/2018 (Multi-PI)
PI: Nancy Kopell, PhD
Research Foundation for Mental Hygiene NIH NIMH
1R21MH108981-01

Prefrontal brain rhymes and rule-based action
08/01/2014 - 07/31/2018 (PI)
Department of Defense/ARO

Showing 10 of 13 results. Show All Results

Title

Yr	Title	Project-Sub Proj	Pubs
2024	Computational Core	5P50MH132642-02-8250
2023	Computational Core	1P50MH132642-01-5981
2021	Circuits underlying threat and safety	1U01NS122082-01
2021	Project 5: Computational	5P50MH109429-05-8843	22
2021	Project 4: Mathematical Modeling Studies of Anesthetic Action	5P01GM118269-05-6047	20
2020	Project 4: Mathematical Modeling Studies of Anesthetic Action	5P01GM118269-04-6047	20
2020	Project 5: Computational	5P50MH109429-04-8843	22
2019	Project 5: Computational	5P50MH109429-03-8843	22
2019	Project 4: Mathematical Modeling Studies of Anesthetic Action	5P01GM118269-03-6047	20
2018	Project 4: Mathematical Modeling Studies of Anesthetic Action	5P01GM118269-02-6047	20

Showing 10 of 38 results. Show All Results

Publications listed below are automatically derived from MEDLINE/PubMed and other sources, which might result in incorrect or missing publications. Faculty can login to make corrections and additions.

iCite Analysis Copy PMIDs To Clipboard

Adam E, Kowalski M, Akeju O, Miller EK, Brown EN, McCarthy MM, Kopell N. Ketamine can produce oscillatory dynamics by engaging mechanisms dependent on the kinetics of NMDA receptors. Proc Natl Acad Sci U S A. 2024 May 28; 121(22):e2402732121. PMID: 38768339; PMCID: PMC11145256; DOI: 10.1073/pnas.2402732121;

Adam E, Kowalski M, Akeju O, Miller EK, Brown EN, McCarthy MM, Kopell N. Ketamine can produce oscillatory dynamics by engaging mechanisms dependent on the kinetics of NMDA receptors. bioRxiv. 2024 Apr 05. PMID: 38617266; PMCID: PMC11014619; DOI: 10.1101/2024.04.03.587998;

Murdock MH, Yang CY, Sun N, Pao PC, Blanco-Duque C, Kahn MC, Kim T, Lavoie NS, Victor MB, Islam MR, Galiana F, Leary N, Wang S, Bubnys A, Ma E, Akay LA, Sneve M, Qian Y, Lai C, McCarthy MM, Kopell N, Kellis M, Piatkevich KD, Boyden ES, Tsai LH. Multisensory gamma stimulation promotes glymphatic clearance of amyloid. Nature. 2024 Mar; 627(8002):149-156. PMID: 38418876; PMCID: PMC10917684; DOI: 10.1038/s41586-024-07132-6;

Soplata AE, Adam E, Brown EN, Purdon PL, McCarthy MM, Kopell N. Rapid thalamocortical network switching mediated by cortical synchronization underlies propofol-induced EEG signatures: a biophysical model. J Neurophysiol. 2023 Jul 01; 130(1):86-103.View Related Profiles.

Soplata, Austin
Kopell, Nancy

PMID: 37314079; PMCID: PMC10312318; DOI: 10.1152/jn.00068.2022;

Cattani A, Arnold DB, McCarthy M, Kopell N. Basolateral amygdala oscillations enable fear learning in a biophysical model. bioRxiv. 2023 Apr 28. PMID: 37163011; PMCID: PMC10168360; DOI: 10.1101/2023.04.28.538604;

Aussel A, Fiebelkorn IC, Kastner S, Kopell NJ, Pittman-Polletta BR. Interacting rhythms enhance sensitivity of target detection in a fronto-parietal computational model of visual attention. Elife. 2023 Jan 31; 12. PMID: 36718998; PMCID: PMC10129332; DOI: 10.7554/eLife.67684;

Quast KB, Reh RK, Caiati MD, Kopell N, McCarthy MM, Hensch TK. Rapid synaptic and gamma rhythm signature of mouse critical period plasticity. Proc Natl Acad Sci U S A. 2023 Jan 10; 120(2):e2123182120. PMID: 36598942; PMCID: PMC9926253; DOI: 10.1073/pnas.2123182120;

Hass J, Ardid S, Sherfey J, Kopell N. Constraints on persistent activity in a biologically detailed network model of the prefrontal cortex with heterogeneities. Prog Neurobiol. 2022 Aug; 215:102287.View Related Profiles.

Sherfey, Jason
Kopell, Nancy

PMID: 35533813

Adam EM, Brown EN, Kopell N, McCarthy MM. Deep brain stimulation in the subthalamic nucleus for Parkinson's disease can restore dynamics of striatal networks. Proc Natl Acad Sci U S A. 2022 May 10; 119(19):e2120808119. PMID: 35500112; PMCID: PMC9171607; DOI: 10.1073/pnas.2120808119;

Llorens A, Tzovara A, Bellier L, Bhaya-Grossman I, Bidet-Caulet A, Chang WK, Cross ZR, Dominguez-Faus R, Flinker A, Fonken Y, Gorenstein MA, Holdgraf C, Hoy CW, Ivanova MV, Jimenez RT, Jun S, Kam JWY, Kidd C, Marcelle E, Marciano D, Martin S, Myers NE, Ojala K, Perry A, Pinheiro-Chagas P, Riès SK, Saez I, Skelin I, Slama K, Staveland B, Bassett DS, Buffalo EA, Fairhall AL, Kopell NJ, Kray LJ, Lin JJ, Nobre AC, Riley D, Solbakk AK, Wallis JD, Wang XJ, Yuval-Greenberg S, Kastner S, Knight RT, Dronkers NF. Gender bias in academia: A lifetime problem that needs solutions. Neuron. 2021 07 07; 109(13):2047-2074. PMID: 34237278; PMCID: PMC8553227; DOI: 10.1016/j.neuron.2021.06.002;

Showing 10 of 211 results. Show More

Pittman-Polletta BR, Wang Y, Stanley DA, Schroeder CE, Whittington MA, Kopell NJ. Differential contributions of synaptic and intrinsic inhibitory currents to speech segmentation via flexible phase-locking in neural oscillators. PLoS Comput Biol. 2021 04; 17(4):e1008783. PMID: 33852573; PMCID: PMC8104450; DOI: 10.1371/journal.pcbi.1008783;

Bastos AM, Lundqvist M, Waite AS, Kopell N, Miller EK. Layer and rhythm specificity for predictive routing. Proc Natl Acad Sci U S A. 2020 12 08; 117(49):31459-31469. PMID: 33229572; PMCID: PMC7733827; DOI: 10.1073/pnas.2014868117;

Gelastopoulos A, Kopell NJ. Interactions of multiple rhythms in a biophysical network of neurons. J Math Neurosci. 2020 Nov 17; 10(1):19. PMID: 33201339; PMCID: PMC7671958; DOI: 10.1186/s13408-020-00096-7;

Sherfey J, Ardid S, Miller EK, Hasselmo ME, Kopell NJ. Prefrontal oscillations modulate the propagation of neuronal activity required for working memory. Neurobiol Learn Mem. 2020 09; 173:107228.View Related Profiles.

Sherfey, Jason
Hasselmo, Michael
Kopell, Nancy

PMID: 32561459; PMCID: PMC7429344; DOI: 10.1016/j.nlm.2020.107228;

Chartove JAK, McCarthy MM, Pittman-Polletta BR, Kopell NJ. A biophysical model of striatal microcircuits suggests gamma and beta oscillations interleaved at delta/theta frequencies mediate periodicity in motor control. PLoS Comput Biol. 2020 02; 16(2):e1007300.View Related Profiles.

Chartove, Julia
Kopell, Nancy

PMID: 32097404; PMCID: PMC7059970; DOI: 10.1371/journal.pcbi.1007300;

Gelastopoulos A, Whittington MA, Kopell NJ. Parietal low beta rhythm provides a dynamical substrate for a working memory buffer. Proc Natl Acad Sci U S A. 2019 08 13; 116(33):16613-16620. PMID: 31371513; PMCID: PMC6697799; DOI: 10.1073/pnas.1902305116;

Ardid S, Sherfey JS, McCarthy MM, Hass J, Pittman-Polletta BR, Kopell N. Biased competition in the absence of input bias revealed through corticostriatal computation. Proc Natl Acad Sci U S A. 2019 04 23; 116(17):8564-8569.View Related Profiles.

Sherfey, Jason
Kopell, Nancy

PMID: 30962383; PMCID: PMC6486766; DOI: 10.1073/pnas.1812535116;

Zhou Y, Vo T, Rotstein HG, McCarthy MM, Kopell N. M-Current Expands the Range of Gamma Frequency Inputs to Which a Neuronal Target Entrains. J Math Neurosci. 2018 Dec 05; 8(1):13. PMID: 30519798; PMCID: PMC6281550; DOI: 10.1186/s13408-018-0068-6;

James NM, Gritton HJ, Kopell N, Sen K, Han X. Muscarinic receptors regulate auditory and prefrontal cortical communication during auditory processing. Neuropharmacology. 2019 01; 144:155-171.View Related Profiles.

Sen, Kamal
Kopell, Nancy
Han, Xue

PMID: 30352212; PMCID: PMC6400225; DOI: 10.1016/j.neuropharm.2018.10.027;

Scholvin J, Zorzos A, Kinney J, Bernstein J, Moore-Kochlacs C, Kopell N, Fonstad C, Boyden ES. Scalable, Modular Three-Dimensional Silicon Microelectrode Assembly via Electroless Plating. Micromachines (Basel). 2018 Aug 30; 9(9). PMID: 30424369; PMCID: PMC6187301; DOI: 10.3390/mi9090436;

Sherfey JS, Ardid S, Hass J, Hasselmo ME, Kopell NJ. Flexible resonance in prefrontal networks with strong feedback inhibition. PLoS Comput Biol. 2018 08; 14(8):e1006357.View Related Profiles.

Sherfey, Jason
Hasselmo, Michael
Kopell, Nancy

PMID: 30091975; PMCID: PMC6103521; DOI: 10.1371/journal.pcbi.1006357;

Pittman-Polletta BR, Quach A, Mohammed AI, Romano M, Kondabolu K, Kopell NJ, Han X, McCarthy MM. Striatal cholinergic receptor activation causes a rapid, selective and state-dependent rise in cortico-striatal ß activity. Eur J Neurosci. 2018 10; 48(8):2857-2868.View Related Profiles.

Quach, Allison
Romano, Michael
Kopell, Nancy
Han, Xue

PMID: 29528521

Sherfey JS, Soplata AE, Ardid S, Roberts EA, Stanley DA, Pittman-Polletta BR, Kopell NJ. DynaSim: A MATLAB Toolbox for Neural Modeling and Simulation. Front Neuroinform. 2018; 12:10.View Related Profiles.

Soplata, Austin
Roberts, Erik
Sherfey, Jason
Kopell, Nancy

PMID: 29599715; PMCID: PMC5862864; DOI: 10.3389/fninf.2018.00010;

Stanley DA, Roy JE, Aoi MC, Kopell NJ, Miller EK. Low-Beta Oscillations Turn Up the Gain During Category Judgments. Cereb Cortex. 2018 Jan 01; 28(1):116-130. PMID: 29253255; PMCID: PMC6248822; DOI: 10.1093/cercor/bhw356;

Soplata AE, McCarthy MM, Sherfey J, Lee S, Purdon PL, Brown EN, Kopell N. Thalamocortical control of propofol phase-amplitude coupling. PLoS Comput Biol. 2017 12; 13(12):e1005879.View Related Profiles.

Soplata, Austin
Sherfey, Jason
Kopell, Nancy

PMID: 29227992; PMCID: PMC5739502; DOI: 10.1371/journal.pcbi.1005879;

Singer AC, Talei Franzesi G, Kodandaramaiah SB, Flores FJ, Cohen JD, Lee AK, Borgers C, Forest CR, Kopell NJ, Boyden ES. Mesoscale-duration activated states gate spiking in response to fast rises in membrane voltage in the awake brain. J Neurophysiol. 2017 Aug 01; 118(2):1270-1291. PMID: 28566460; PMCID: PMC5558023; DOI: 10.1152/jn.00116.2017;

Hunt MJ, Kopell NJ, Traub RD, Whittington MA. Aberrant Network Activity in Schizophrenia. Trends Neurosci. 2017 Jun; 40(6):371-382. PMID: 28515010; PMCID: PMC5523137; DOI: 10.1016/j.tins.2017.04.003;

Adams NE, Sherfey JS, Kopell NJ, Whittington MA, LeBeau FE. Hetereogeneity in Neuronal Intrinsic Properties: A Possible Mechanism for Hub-Like Properties of the Rat Anterior Cingulate Cortex during Network Activity. eNeuro. 2017 Jan-Feb; 4(1).View Related Profiles.

Sherfey, Jason
Kopell, Nancy

PMID: 28275720; PMCID: PMC5340498; DOI: 10.1523/ENEURO.0313-16.2017;

Vijayan S, Lepage KQ, Kopell NJ, Cash SS. Frontal beta-theta network during REM sleep. Elife. 2017 Jan 25; 6. PMID: 28121613; PMCID: PMC5266493; DOI: 10.7554/eLife.18894;

Scholvin J, Kinney JP, Bernstein JG, Moore-Kochlacs C, Kopell NJ, Fonstad CG, Boyden ES. Heterogeneous neural amplifier integration for scalable extracellular microelectrodes. Conf Proc IEEE Eng Med Biol Soc. 2016 Aug; 2016:2789-2793. PMID: 28268897; DOI: 10.1109/EMBC.2016.7591309;

Kondabolu K, Roberts EA, Bucklin M, McCarthy MM, Kopell N, Han X. Striatal cholinergic interneurons generate beta and gamma oscillations in the corticostriatal circuit and produce motor deficits. Proc Natl Acad Sci U S A. 2016 May 31; 113(22):E3159-68.View Related Profiles.

Roberts, Erik
Bucklin, Mark
Kopell, Nancy
Han, Xue

PMID: 27185924; PMCID: PMC4896681; DOI: 10.1073/pnas.1605658113;

Ainsworth M, Lee S, Kaiser M, Simonotto J, Kopell NJ, Whittington MA. GABAB receptor-mediated, layer-specific synaptic plasticity reorganizes gamma-frequency neocortical response to stimulation. Proc Natl Acad Sci U S A. 2016 May 10; 113(19):E2721-9. PMID: 27118845; PMCID: PMC4868473; DOI: 10.1073/pnas.1605243113;

Scholvin J, Kinney JP, Bernstein JG, Moore-Kochlacs C, Kopell N, Fonstad CG, Boyden ES. Close-Packed Silicon Microelectrodes for Scalable Spatially Oversampled Neural Recording. IEEE Trans Biomed Eng. 2016 Jan; 63(1):120-30. PMID: 26699649; PMCID: PMC4692190; DOI: 10.1109/TBME.2015.2406113;

Lee JH, Whittington MA, Kopell NJ. Potential Mechanisms Underlying Intercortical Signal Regulation via Cholinergic Neuromodulators. J Neurosci. 2015 Nov 11; 35(45):15000-14. PMID: 26558772; PMCID: PMC4642235; DOI: 10.1523/JNEUROSCI.0629-15.2015;

Cannon J, Kopell N, Gardner T, Markowitz J. Neural Sequence Generation Using Spatiotemporal Patterns of Inhibition. PLoS Comput Biol. 2015 Nov; 11(11):e1004581. PMID: 26536029; PMCID: PMC4633124; DOI: 10.1371/journal.pcbi.1004581;

Kinney JP, Bernstein JG, Meyer AJ, Barber JB, Bolivar M, Newbold B, Scholvin J, Moore-Kochlacs C, Wentz CT, Kopell NJ, Boyden ES. A direct-to-drive neural data acquisition system. Front Neural Circuits. 2015; 9:46. PMID: 26388740; PMCID: PMC4555017; DOI: 10.3389/fncir.2015.00046;

Vijayan S, Klerman EB, Adler GK, Kopell NJ. Thalamic mechanisms underlying alpha-delta sleep with implications for fibromyalgia. J Neurophysiol. 2015 Sep; 114(3):1923-30. PMID: 26245315; PMCID: PMC4575971; DOI: 10.1152/jn.00280.2015;

Pittman-Polletta BR, Kocsis B, Vijayan S, Whittington MA, Kopell NJ. Brain rhythms connect impaired inhibition to altered cognition in schizophrenia. Biol Psychiatry. 2015 Jun 15; 77(12):1020-30. PMID: 25850619; PMCID: PMC4444389; DOI: 10.1016/j.biopsych.2015.02.005;

Santaniello S, McCarthy MM, Montgomery EB, Gale JT, Kopell N, Sarma SV. Therapeutic mechanisms of high-frequency stimulation in Parkinson's disease and neural restoration via loop-based reinforcement. Proc Natl Acad Sci U S A. 2015 Feb 10; 112(6):E586-95. PMID: 25624501; PMCID: PMC4330724; DOI: 10.1073/pnas.1406549111;

Kopell NJ, Gritton HJ, Whittington MA, Kramer MA. Beyond the connectome: the dynome. Neuron. 2014 Sep 17; 83(6):1319-28. PMID: 25233314; PMCID: PMC4169213; DOI: 10.1016/j.neuron.2014.08.016;

Börgers C, Li J, Kopell N. Approximate, not Perfect Synchrony Maximizes the Downstream Effectiveness of Excitatory Neuronal Ensembles. J Math Neurosci. 2014 Dec; 4(1):10. PMID: 27334376; PMCID: PMC4916341; DOI: 10.1186/2190-8567-4-10;

Cannon J, McCarthy MM, Lee S, Lee J, Börgers C, Whittington MA, Kopell N. Neurosystems: brain rhythms and cognitive processing. Eur J Neurosci. 2014 Mar; 39(5):705-19. PMID: 24329933; PMCID: PMC4916881; DOI: 10.1111/ejn.12453;

Devor A, Bandettini PA, Boas DA, Bower JM, Buxton RB, Cohen LB, Dale AM, Einevoll GT, Fox PT, Franceschini MA, Friston KJ, Fujimoto JG, Geyer MA, Greenberg JH, Halgren E, Hämäläinen MS, Helmchen F, Hyman BT, Jasanoff A, Jernigan TL, Judd LL, Kim SG, Kleinfeld D, Kopell NJ, Kutas M, Kwong KK, Larkum ME, Lo EH, Magistretti PJ, Mandeville JB, Masliah E, Mitra PP, Mobley WC, Moskowitz MA, Nimmerjahn A, Reynolds JH, Rosen BR, Salzberg BM, Schaffer CB, Silva GA, So PT, Spitzer NC, Tootell RB, Van Essen DC, Vanduffel W, Vinogradov SA, Wald LL, Wang LV, Weber B, Yodh AG. The challenge of connecting the dots in the B.R.A.I.N. Neuron. 2013 Oct 16; 80(2):270-4.View Related Profiles.

Devor, Anna
Boas, David
Kopell, Nancy

PMID: 24139032; PMCID: PMC3864648; DOI: 10.1016/j.neuron.2013.09.008;

Dugladze T, Maziashvili N, Börgers C, Gurgenidze S, Häussler U, Winkelmann A, Haas CA, Meier JC, Vida I, Kopell NJ, Gloveli T. GABA(B) autoreceptor-mediated cell type-specific reduction of inhibition in epileptic mice. Proc Natl Acad Sci U S A. 2013 Sep 10; 110(37):15073-8. PMID: 23980149; PMCID: PMC3773756; DOI: 10.1073/pnas.1313505110;

Mitry J, McCarthy M, Kopell N, Wechselberger M. Excitable neurons, firing threshold manifolds and canards. J Math Neurosci. 2013; 3(1):12. PMID: 23945278; PMCID: PMC3819701; DOI: 10.1186/2190-8567-3-12;

Lee JH, Whittington MA, Kopell NJ. Top-down beta rhythms support selective attention via interlaminar interaction: a model. PLoS Comput Biol. 2013; 9(8):e1003164. PMID: 23950699; PMCID: PMC3738471; DOI: 10.1371/journal.pcbi.1003164;

Vijayan S, Ching S, Purdon PL, Brown EN, Kopell NJ. Thalamocortical mechanisms for the anteriorization of a rhythms during propofol-induced unconsciousness. J Neurosci. 2013 Jul 3; 33(27):11070-5. PMID: 23825412; PMCID: PMC3718379; DOI: 10.1523/JNEUROSCI.5670-12.2013;

Kopell N. Interview with Nancy Kopell. Trends Neurosci. 2013 Jun; 36(6):313-4. PMID: 23731518; DOI: 10.1016/j.tins.2013.03.005;

Purdon PL, Pierce ET, Mukamel EA, Prerau MJ, Walsh JL, Wong KF, Salazar-Gomez AF, Harrell PG, Sampson AL, Cimenser A, Ching S, Kopell NJ, Tavares-Stoeckel C, Habeeb K, Merhar R, Brown EN. Electroencephalogram signatures of loss and recovery of consciousness from propofol. Proc Natl Acad Sci U S A. 2013 Mar 19; 110(12):E1142-51.View Related Profiles.

Salazar Gomez, Andres Felipe
Kopell, Nancy

PMID: 23487781; PMCID: PMC3607036; DOI: 10.1073/pnas.1221180110;

Vijayan S, Ching S, Purdon PL, Brown EN, Kopell NJ. Biophysical Modeling of Alpha Rhythms During Halothane-Induced Unconsciousness. Int IEEE EMBS Conf Neural Eng. 2013; 1104-1107. PMID: 25284633; PMCID: PMC4180520; DOI: 10.1109/NER.2013.6696130;

Vijayan S, Kopell NJ. Thalamic model of awake alpha oscillations and implications for stimulus processing. Proc Natl Acad Sci U S A. 2012 Nov 6; 109(45):18553-8. PMID: 23054840; PMCID: PMC3494906; DOI: 10.1073/pnas.1215385109;

Ainsworth M, Lee S, Cunningham MO, Traub RD, Kopell NJ, Whittington MA. Rates and rhythms: a synergistic view of frequency and temporal coding in neuronal networks. Neuron. 2012 Aug 23; 75(4):572-83. PMID: 22920250; DOI: 10.1016/j.neuron.2012.08.004;

Malerba P, Kopell N. Phase resetting reduces theta-gamma rhythmic interaction to a one-dimensional map. J Math Biol. 2013 Jun; 66(7):1361-86. PMID: 22526842; DOI: 10.1007/s00285-012-0534-9;

McCarthy MM, Ching S, Whittington MA, Kopell N. Dynamical changes in neurological diseases and anesthesia. Curr Opin Neurobiol. 2012 Aug; 22(4):693-703. PMID: 22446010; PMCID: PMC3965179; DOI: 10.1016/j.conb.2012.02.009;

Munro E, Kopell N. Subthreshold somatic voltage in neocortical pyramidal cells can control whether spikes propagate from the axonal plexus to axon terminals: a model study. J Neurophysiol. 2012 May; 107(10):2833-52. PMID: 22378167; DOI: 10.1152/jn.00709.2011;

Börgers C, Talei Franzesi G, Lebeau FE, Boyden ES, Kopell NJ. Minimal size of cell assemblies coordinated by gamma oscillations. PLoS Comput Biol. 2012 Feb; 8(2):e1002362. PMID: 22346741; PMCID: PMC3276541; DOI: 10.1371/journal.pcbi.1002362;

Ching S, Purdon PL, Vijayan S, Kopell NJ, Brown EN. A neurophysiological-metabolic model for burst suppression. Proc Natl Acad Sci U S A. 2012 Feb 21; 109(8):3095-100. PMID: 22323592; PMCID: PMC3286963; DOI: 10.1073/pnas.1121461109;

Ainsworth M, Lee S, Cunningham MO, Roopun AK, Traub RD, Kopell NJ, Whittington MA. Dual ? rhythm generators control interlaminar synchrony in auditory cortex. J Neurosci. 2011 Nov 23; 31(47):17040-51. PMID: 22114273; PMCID: PMC3654396; DOI: 10.1523/JNEUROSCI.2209-11.2011;

Tort AB, Komorowski R, Kopell N, Eichenbaum H. A mechanism for the formation of hippocampal neuronal firing patterns that represent what happens where. Learn Mem. 2011; 18(11):718-27. PMID: 22021254; PMCID: PMC3207257; DOI: 10.1101/lm.2307711;

McCarthy MM, Moore-Kochlacs C, Gu X, Boyden ES, Han X, Kopell N. Striatal origin of the pathologic beta oscillations in Parkinson's disease. Proc Natl Acad Sci U S A. 2011 Jul 12; 108(28):11620-5.View Related Profiles.

Kopell, Nancy
Han, Xue

PMID: 21697509; PMCID: PMC3136295; DOI: 10.1073/pnas.1107748108;

Kopell N, Whittington MA, Kramer MA. Neuronal assembly dynamics in the beta1 frequency range permits short-term memory. Proc Natl Acad Sci U S A. 2011 Mar 1; 108(9):3779-84. PMID: 21321198; PMCID: PMC3048142; DOI: 10.1073/pnas.1019676108;

Desai M, Kahn I, Knoblich U, Bernstein J, Atallah H, Yang A, Kopell N, Buckner RL, Graybiel AM, Moore CI, Boyden ES. Mapping brain networks in awake mice using combined optical neural control and fMRI. J Neurophysiol. 2011 Mar; 105(3):1393-405. PMID: 21160013; PMCID: PMC3074423; DOI: 10.1152/jn.00828.2010;

Ching S, Cimenser A, Purdon PL, Brown EN, Kopell NJ. Thalamocortical model for a propofol-induced alpha-rhythm associated with loss of consciousness. Proc Natl Acad Sci U S A. 2010 Dec 28; 107(52):22665-70. PMID: 21149695; PMCID: PMC3012501; DOI: 10.1073/pnas.1017069108;

Kopell N, Kramer MA, Malerba P, Whittington MA. Are different rhythms good for different functions? Front Hum Neurosci. 2010; 4:187. PMID: 21103019; PMCID: PMC2987659; DOI: 10.3389/fnhum.2010.00187;

Tort AB, Komorowski R, Eichenbaum H, Kopell N. Measuring phase-amplitude coupling between neuronal oscillations of different frequencies. J Neurophysiol. 2010 Aug; 104(2):1195-210. PMID: 20463205; PMCID: PMC2941206; DOI: 10.1152/jn.00106.2010;

Tort AB, Fontanini A, Kramer MA, Jones-Lush LM, Kopell NJ, Katz DB. Cortical networks produce three distinct 7-12 Hz rhythms during single sensory responses in the awake rat. J Neurosci. 2010 Mar 24; 30(12):4315-24. PMID: 20335467; PMCID: PMC3318968; DOI: 10.1523/JNEUROSCI.6051-09.2010;

Lee S, Sen K, Kopell N. Cortical gamma rhythms modulate NMDAR-mediated spike timing dependent plasticity in a biophysical model. PLoS Comput Biol. 2009 Dec; 5(12):e1000602.View Related Profiles.

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Brea JN, Kay LM, Kopell NJ. Biophysical model for gamma rhythms in the olfactory bulb via subthreshold oscillations. Proc Natl Acad Sci U S A. 2009 Dec 22; 106(51):21954-9. PMID: 19996171; PMCID: PMC2799880; DOI: 10.1073/pnas.0910964106;

Tort AB, Komorowski RW, Manns JR, Kopell NJ, Eichenbaum H. Theta-gamma coupling increases during the learning of item-context associations. Proc Natl Acad Sci U S A. 2009 Dec 8; 106(49):20942-7. PMID: 19934062; PMCID: PMC2791641; DOI: 10.1073/pnas.0911331106;

Shamir M, Ghitza O, Epstein S, Kopell N. Representation of time-varying stimuli by a network exhibiting oscillations on a faster time scale. PLoS Comput Biol. 2009 May; 5(5):e1000370.View Related Profiles.

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Kay LM, Beshel J, Brea J, Martin C, Rojas-Líbano D, Kopell N. Olfactory oscillations: the what, how and what for. Trends Neurosci. 2009 Apr; 32(4):207-14. PMID: 19243843; PMCID: PMC3389991; DOI: 10.1016/j.tins.2008.11.008;

Wulff P, Ponomarenko AA, Bartos M, Korotkova TM, Fuchs EC, Bähner F, Both M, Tort AB, Kopell NJ, Wisden W, Monyer H. Hippocampal theta rhythm and its coupling with gamma oscillations require fast inhibition onto parvalbumin-positive interneurons. Proc Natl Acad Sci U S A. 2009 Mar 3; 106(9):3561-6. PMID: 19204281; PMCID: PMC2637907; DOI: 10.1073/pnas.0813176106;

Roopun AK, Kramer MA, Carracedo LM, Kaiser M, Davies CH, Traub RD, Kopell NJ, Whittington MA. Temporal Interactions between Cortical Rhythms. Front Neurosci. 2008 Dec; 2(2):145-54. PMID: 19225587; PMCID: PMC2622758; DOI: 10.3389/neuro.01.034.2008;

Tort AB, Kramer MA, Thorn C, Gibson DJ, Kubota Y, Graybiel AM, Kopell NJ. Dynamic cross-frequency couplings of local field potential oscillations in rat striatum and hippocampus during performance of a T-maze task. Proc Natl Acad Sci U S A. 2008 Dec 23; 105(51):20517-22. PMID: 19074268; PMCID: PMC2629291; DOI: 10.1073/pnas.0810524105;

McCarthy MM, Brown EN, Kopell N. Potential network mechanisms mediating electroencephalographic beta rhythm changes during propofol-induced paradoxical excitation. J Neurosci. 2008 Dec 10; 28(50):13488-504. PMID: 19074022; PMCID: PMC2717965; DOI: 10.1523/JNEUROSCI.3536-08.2008;

Börgers C, Epstein S, Kopell NJ. Gamma oscillations mediate stimulus competition and attentional selection in a cortical network model. Proc Natl Acad Sci U S A. 2008 Nov 18; 105(46):18023-8. PMID: 19004759; PMCID: PMC2584712; DOI: 10.1073/pnas.0809511105;

Middleton S, Jalics J, Kispersky T, Lebeau FE, Roopun AK, Kopell NJ, Whittington MA, Cunningham MO. NMDA receptor-dependent switching between different gamma rhythm-generating microcircuits in entorhinal cortex. Proc Natl Acad Sci U S A. 2008 Nov 25; 105(47):18572-7. PMID: 18997013; PMCID: PMC2587538; DOI: 10.1073/pnas.0809302105;

Kramer MA, Roopun AK, Carracedo LM, Traub RD, Whittington MA, Kopell NJ. Rhythm generation through period concatenation in rat somatosensory cortex. PLoS Comput Biol. 2008; 4(9):e1000169. PMID: 18773075; PMCID: PMC2518953; DOI: 10.1371/journal.pcbi.1000169;

Kramer MA, Traub RD, Kopell NJ. New dynamics in cerebellar Purkinje cells: torus canards. Phys Rev Lett. 2008 Aug 8; 101(6):068103. PMID: 18764509; PMCID: PMC2662447; DOI: 10.1103/PhysRevLett.101.068103;

Diniz Behn CG, Kopell N, Brown EN, Mochizuki T, Scammell TE. Delayed orexin signaling consolidates wakefulness and sleep: physiology and modeling. J Neurophysiol. 2008 Jun; 99(6):3090-103. PMID: 18417630; PMCID: PMC3065358; DOI: 10.1152/jn.01243.2007;

Roopun AK, Kramer MA, Carracedo LM, Kaiser M, Davies CH, Traub RD, Kopell NJ, Whittington MA. Period concatenation underlies interactions between gamma and beta rhythms in neocortex. Front Cell Neurosci. 2008; 2:1. PMID: 18946516; PMCID: PMC2525927; DOI: 10.3389/neuro.03.001.2008;

Krupa M, Popovic N, Kopell N, Rotstein HG. Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron. Chaos. 2008 Mar; 18(1):015106. PMID: 18377087; DOI: 10.1063/1.2779859;

Vierling-Claassen D, Siekmeier P, Stufflebeam S, Kopell N. Modeling GABA alterations in schizophrenia: a link between impaired inhibition and altered gamma and beta range auditory entrainment. J Neurophysiol. 2008 May; 99(5):2656-71. PMID: 18287555; PMCID: PMC2679675; DOI: 10.1152/jn.00870.2007;

Kramer MA, Tort AB, Kopell NJ. Sharp edge artifacts and spurious coupling in EEG frequency comodulation measures. J Neurosci Methods. 2008 May 30; 170(2):352-7. PMID: 18328571; DOI: 10.1016/j.jneumeth.2008.01.020;

Börgers C, Kopell NJ. Gamma oscillations and stimulus selection. Neural Comput. 2008 Feb; 20(2):383-414. PMID: 18047409

Silver R, Boahen K, Grillner S, Kopell N, Olsen KL. Neurotech for neuroscience: unifying concepts, organizing principles, and emerging tools. J Neurosci. 2007 Oct 31; 27(44):11807-19. PMID: 17978017; PMCID: PMC3275424; DOI: 10.1523/JNEUROSCI.3575-07.2007;

Dugladze T, Vida I, Tort AB, Gross A, Otahal J, Heinemann U, Kopell NJ, Gloveli T. Impaired hippocampal rhythmogenesis in a mouse model of mesial temporal lobe epilepsy. Proc Natl Acad Sci U S A. 2007 Oct 30; 104(44):17530-5. PMID: 17954918; PMCID: PMC2077290; DOI: 10.1073/pnas.0708301104;

Tort AB, Rotstein HG, Dugladze T, Gloveli T, Kopell NJ. On the formation of gamma-coherent cell assemblies by oriens lacunosum-moleculare interneurons in the hippocampus. Proc Natl Acad Sci U S A. 2007 Aug 14; 104(33):13490-5. PMID: 17679692; PMCID: PMC1948921; DOI: 10.1073/pnas.0705708104;

Beshel J, Kopell N, Kay LM. Olfactory bulb gamma oscillations are enhanced with task demands. J Neurosci. 2007 Aug 1; 27(31):8358-65. PMID: 17670982; PMCID: PMC6673062; DOI: 10.1523/JNEUROSCI.1199-07.2007;

Behn CG, Brown EN, Scammell TE, Kopell NJ. Mathematical model of network dynamics governing mouse sleep-wake behavior. J Neurophysiol. 2007 Jun; 97(6):3828-40. PMID: 17409167; PMCID: PMC2259448; DOI: 10.1152/jn.01184.2006;

Pervouchine DD, Netoff TI, Rotstein HG, White JA, Cunningham MO, Whittington MA, Kopell NJ. Low-dimensional maps encoding dynamics in entorhinal cortex and hippocampus. Neural Comput. 2006 Nov; 18(11):2617-50.View Related Profiles.

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Rotstein HG, Oppermann T, White JA, Kopell N. The dynamic structure underlying subthreshold oscillatory activity and the onset of spikes in a model of medial entorhinal cortex stellate cells. J Comput Neurosci. 2006 Dec; 21(3):271-92.View Related Profiles.

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Soto G, Kopell N, Sen K. Network architecture, receptive fields, and neuromodulation: computational and functional implications of cholinergic modulation in primary auditory cortex. J Neurophysiol. 2006 Dec; 96(6):2972-83.View Related Profiles.

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Cunningham MO, Pervouchine DD, Racca C, Kopell NJ, Davies CH, Jones RS, Traub RD, Whittington MA. Neuronal metabolism governs cortical network response state. Proc Natl Acad Sci U S A. 2006 Apr 4; 103(14):5597-601. PMID: 16565217; PMCID: PMC1459399; DOI: 10.1073/pnas.0600604103;

Sivan E, Kopell N. Oscillations and slow patterning in the antennal lobe. J Comput Neurosci. 2006 Feb; 20(1):85-96. PMID: 16511657

Kuznetsov AS, Kopell NJ, Wilson CJ. Transient high-frequency firing in a coupled-oscillator model of the mesencephalic dopaminergic neuron. J Neurophysiol. 2006 Feb; 95(2):932-47. PMID: 16207783

Jones SR, Kopell N. Local network parameters can affect inter-network phase lags in central pattern generators. J Math Biol. 2006 Jan; 52(1):115-40. PMID: 16195924

Gloveli T, Dugladze T, Rotstein HG, Traub RD, Monyer H, Heinemann U, Whittington MA, Kopell NJ. Orthogonal arrangement of rhythm-generating microcircuits in the hippocampus. Proc Natl Acad Sci U S A. 2005 Sep 13; 102(37):13295-300. PMID: 16141320; PMCID: PMC1201613; DOI: 10.1073/pnas.0506259102;

Börgers C, Epstein S, Kopell NJ. Background gamma rhythmicity and attention in cortical local circuits: a computational study. Proc Natl Acad Sci U S A. 2005 May 10; 102(19):7002-7. PMID: 15870189; PMCID: PMC1100794; DOI: 10.1073/pnas.0502366102;

Rotstein HG, Pervouchine DD, Acker CD, Gillies MJ, White JA, Buhl EH, Whittington MA, Kopell N. Slow and fast inhibition and an H-current interact to create a theta rhythm in a model of CA1 interneuron network. J Neurophysiol. 2005 Aug; 94(2):1509-18.View Related Profiles.

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Jensen O, Goel P, Kopell N, Pohja M, Hari R, Ermentrout B. On the human sensorimotor-cortex beta rhythm: sources and modeling. Neuroimage. 2005 Jun; 26(2):347-55. PMID: 15907295

Kopell N. Does it have to be this complicated? Focus on "Single-column thalamocortical network model exhibiting gamma oscillations, spindles, and epileptogenic bursts". J Neurophysiol. 2005 Apr; 93(4):1829-30. PMID: 15774709

Börgers C, Kopell N. Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Neural Comput. 2005 Mar; 17(3):557-608. PMID: 15802007

Kunec S, Hasselmo ME, Kopell N. Encoding and retrieval in the CA3 region of the hippocampus: a model of theta-phase separation. J Neurophysiol. 2005 Jul; 94(1):70-82.View Related Profiles.

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Sivan E, Kopell N. Mechanism and circuitry for clustering and fine discrimination of odors in insects. Proc Natl Acad Sci U S A. 2004 Dec 21; 101(51):17861-6. PMID: 15590772; PMCID: PMC539765

Netoff TI, Banks MI, Dorval AD, Acker CD, Haas JS, Kopell N, White JA. Synchronization in hybrid neuronal networks of the hippocampal formation. J Neurophysiol. 2005 Mar; 93(3):1197-208.View Related Profiles.

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Kopell N, Ermentrout B. Chemical and electrical synapses perform complementary roles in the synchronization of interneuronal networks. Proc Natl Acad Sci U S A. 2004 Oct 26; 101(43):15482-7. PMID: 15489269; PMCID: PMC524455

Rubchinsky LL, Kopell N, Sigvardt KA. Modeling facilitation and inhibition of competing motor programs in basal ganglia subthalamic nucleus-pallidal circuits. Proc Natl Acad Sci U S A. 2003 Nov 25; 100(24):14427-32. PMID: 14612573; PMCID: PMC283608

Cunningham MO, Davies CH, Buhl EH, Kopell N, Whittington MA. Gamma oscillations induced by kainate receptor activation in the entorhinal cortex in vitro. J Neurosci. 2003 Oct 29; 23(30):9761-9. PMID: 14586003

Sung NS, Gordon JI, Rose GD, Getzoff ED, Kron SJ, Mumford D, Onuchic JN, Scherer NF, Sumners DL, Kopell NJ. Science education. Educating future scientists. Science. 2003 Sep 12; 301(5639):1485. PMID: 12970550

Pinto DJ, Jones SR, Kaper TJ, Kopell N. Analysis of state-dependent transitions in frequency and long-distance coordination in a model oscillatory cortical circuit. J Comput Neurosci. 2003 Sep-Oct; 15(2):283-98. PMID: 14512752

McMillen D, Kopell N. Noise-stabilized long-distance synchronization in populations of model neurons. J Comput Neurosci. 2003 Sep-Oct; 15(2):143-57. PMID: 14512745

Medvedev GS, Wilson CJ, Callaway JC, Kopell N. Dendritic synchrony and transient dynamics in a coupled oscillator model of the dopaminergic neuron. J Comput Neurosci. 2003 Jul-Aug; 15(1):53-69. PMID: 12843695

Acker CD, Kopell N, White JA. Synchronization of strongly coupled excitatory neurons: relating network behavior to biophysics. J Comput Neurosci. 2003 Jul-Aug; 15(1):71-90.View Related Profiles.

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Jones SR, Mulloney B, Kaper TJ, Kopell N. Coordination of cellular pattern-generating circuits that control limb movements: the sources of stable differences in intersegmental phases. J Neurosci. 2003 Apr 15; 23(8):3457-68. PMID: 12716954

Börgers C, Kopell N. Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity. Neural Comput. 2003 Mar; 15(3):509-38. PMID: 12620157

Olufsen MS, Whittington MA, Camperi M, Kopell N. New roles for the gamma rhythm: population tuning and preprocessing for the Beta rhythm. J Comput Neurosci. 2003 Jan-Feb; 14(1):33-54. PMID: 12435923

McMillen D, Kopell N, Hasty J, Collins JJ. Synchronizing genetic relaxation oscillators by intercell signaling. Proc Natl Acad Sci U S A. 2002 Jan 22; 99(2):679-84. PMID: 11805323; PMCID: PMC117365

Traub RD, Kopell N, Bibbig A, Buhl EH, LeBeau FE, Whittington MA. Gap junctions between interneuron dendrites can enhance synchrony of gamma oscillations in distributed networks. J Neurosci. 2001 Dec 1; 21(23):9478-86. PMID: 11717382

Fuchs EC, Doheny H, Faulkner H, Caputi A, Traub RD, Bibbig A, Kopell N, Whittington MA, Monyer H. Genetically altered AMPA-type glutamate receptor kinetics in interneurons disrupt long-range synchrony of gamma oscillation. Proc Natl Acad Sci U S A. 2001 Mar 13; 98(6):3571-6. PMID: 11248119; PMCID: PMC30694

Whittington MA, Traub RD, Kopell N, Ermentrout B, Buhl EH. Inhibition-based rhythms: experimental and mathematical observations on network dynamics. Int J Psychophysiol. 2000 Dec 1; 38(3):315-36. PMID: 11102670

Jones SR, Pinto DJ, Kaper TJ, Kopell N. Alpha-frequency rhythms desynchronize over long cortical distances: a modeling study. J Comput Neurosci. 2000 Nov-Dec; 9(3):271-91. PMID: 11139043

White JA, Banks MI, Pearce RA, Kopell NJ. Networks of interneurons with fast and slow gamma-aminobutyric acid type A (GABAA) kinetics provide substrate for mixed gamma-theta rhythm. Proc Natl Acad Sci U S A. 2000 Jul 5; 97(14):8128-33.View Related Profiles.

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Chow CC, Kopell N. Dynamics of spiking neurons with electrical coupling. Neural Comput. 2000 Jul; 12(7):1643-78. PMID: 10935921

Karbowski J, Kopell N. Multispikes and synchronization in a large neural network with temporal delays. Neural Comput. 2000 Jul; 12(7):1573-606. PMID: 10935919

Kopell N, Ermentrout GB, Whittington MA, Traub RD. Gamma rhythms and beta rhythms have different synchronization properties. Proc Natl Acad Sci U S A. 2000 Feb 15; 97(4):1867-72. PMID: 10677548; PMCID: PMC26528

Bose A, Kopell N, Terman D. Almost synchronous solutions for pairs of neurons coupled by excitation. Physica D. 2000; 140:69-94.

Nadim F, Manor Y, Kopell N, Marder E. Synaptic depression creates a switch that controls the frequency of an oscillatory circuit. Proc Natl Acad Sci U S A. 1999 Jul 6; 96(14):8206-11. PMID: 10393973; PMCID: PMC22213

LoFaro T, Kopell N. Timing regulation in a network reduced from voltage-gated equations to a one-dimensional map. J Math Biol. 1999 Jun; 38(6):479-533. PMID: 10422266

Manor Y, Nadim F, Epstein S, Ritt J, Marder E, Kopell N. Network oscillations generated by balancing graded asymmetric reciprocal inhibition in passive neurons. J Neurosci. 1999 Apr 1; 19(7):2765-79. PMID: 10087088

Chow CC, White JA, Ritt J, Kopell N. Frequency control in synchronized networks of inhibitory neurons. J Comput Neurosci. 1998 Dec; 5(4):407-20.View Related Profiles.

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White JA, Chow CC, Ritt J, Soto-Treviño C, Kopell N. Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. J Comput Neurosci. 1998 Mar; 5(1):5-16.View Related Profiles.

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Ermentrout GB, Kopell N. Fine structure of neural spiking and synchronization in the presence of conduction delays. Proc Natl Acad Sci U S A. 1998 Feb 3; 95(3):1259-64. PMID: 9448319; PMCID: PMC18738

Marder E, Kopell N, Sigvardt K. Neurons, networks and motor behavior, P.S.G. Stein, S. Grillner, A.I. Selverston, and D.G. Stuart, eds. How computation aids in understanding biological networks. MIT Press. Cambridge, MA. 1998; 139-50.
Hayes M, Kaper T, Kopell N, Ono K. On the application of geometric singular perturbation theory to some classical two-point boundary value problems. Intl. J. Bifurcations and Chaos. 1998; 8:189-209.
Kopell N. Networks of neurons as dynamical systems: From geometry to biophysics. Quarterly Appl. Math. 1998; 56:707-18.
Kopell N, Abbott L, Soto-Trevino C. On the behavior of a neural oscillator electrically coupled to a bistable element. Physica D. 1998; 121:367-95.
Terman D, Bose A, Kopell N. Dynamics of two mutually coupled slow inhibitory neurons. Physica D. 1998; 117:241-75.

Skinner FK, Kopell N, Mulloney B. How does the crayfish swimmeret system work? Insights from nearest-neighbor coupled oscillator models. J Comput Neurosci. 1997 Apr; 4(2):151-60. PMID: 9154521

Weimann JM, Skiebe P, Heinzel HG, Soto C, Kopell N, Jorge-Rivera JC, Marder E. Modulation of oscillator interactions in the crab stomatogastric ganglion by crustacean cardioactive peptide. J Neurosci. 1997 Mar 1; 17(5):1748-60. PMID: 9030633

Kopell N. The legacy of Norbert Wiener: A centennial symposium. Oscillating networks of neurons: Mathematics and function. American Mathematical Society. Providence. 1997.

Terman D, Bose A, Kopell N. Functional reorganization in thalamocortical networks: transition between spindling and delta sleep rhythms. Proc Natl Acad Sci U S A. 1996 Dec 24; 93(26):15417-22. PMID: 8986826; PMCID: PMC26419

Soto-Treviño C, Kopell N, Watson D. Parabolic bursting revisited. J Math Biol. 1996 Nov; 35(1):114-28. PMID: 9002243

Jones C, Kaper T, Kopell N. Tracking invariant manifolds up to exponentially small errors. SIAM J. Math. Anal. 1996; 27:558-77.
Kopell N. Lectures in applied math. Global center manifolds and singularly perturbed equations. A brief guide to the literature. American Mathematical Society. Providence. 1996; 31:47-50.

Kopell N, Somers D. Anti-phase solutions in relaxation oscillators coupled through excitatory interactions. J Math Biol. 1995; 33(3):261-80. PMID: 7897329

Somers D, Kopell N. Waves and synchrony in arrays of oscillators of relaxation and non-relaxation type. Physica D. 1995; 89:169-83.
Kopell N. Handbook of brain theory and neural networks, M. Arbib, ed. Chains of coupled oscillators. MIT Press. Cambridge. 1995; 178-83.
Kopell N, Landman M. Spatial structure of the focusing singularity of the nonlinear Schrodinger equation: A geometric analysis. SIAM J. Appl. Math. 1995; 55:1297-323.

Kopell N, LeMasson G. Rhythmogenesis, amplitude modulation, and multiplexing in a cortical architecture. Proc Natl Acad Sci U S A. 1994 Oct 25; 91(22):10586-90. PMID: 7937997; PMCID: PMC45066

Skinner FK, Kopell N, Marder E. Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks. J Comput Neurosci. 1994 Jun; 1(1-2):69-87. PMID: 8792226

Tin SK, Kopell N, Jones CKRT. Invariant manifolds and singularly perturbed boundary value problems. SIAM J. Num. Anal. 1994; 31:1558-76.
LoFaro T, Kopell N, Marder E, Hooper S. Subharmonic coordination in networks of neurons with slow conductances. Neural Computation. 1994; 6:69-84.
Skinner F, Gramoll S, Calabrese R, Kopell N, Marder E. Computations in neurons and neural systems, F.H. Eeckman, ed. Frequency control in biological half-center oscillators. Kluwer. Boston. 1994; 223-8.
Jones C, Kopell N. Tracking invariant manifolds with differential forms in singularly perturbed equations. J. Diff. Equa. 1994; 108:64-88.
Kopell N. Rhythms and clues: Mechanisms of self-organization in nature. 1993 University Lecture. Boston University. Boston MA. 1994.
Ermentrout GB, Kopell N. Inhibition-produced patterning in chains of coupled nonlinear oscillators. SIAM J. Appl. Math. 1994; 54:478-507.
LoFaro T, Kopell N, Marder E, Hooper S. Computations in neurons and neural systems, F.H. Eeckman, ed. The effect of i_h bursting patterns of pairs of coupled neurons. Kluwer. Boston. 1994; 15-20.
Ermentrout GB, Kopell N. Learning of phase-lags in coupled neural oscillators. Neural Computation. 1994; 6:225-41.
Jones C, Kopell N. Tracking invariant manifolds with differential forms in singularly perturbed equations. J. Diff. Equa. 1994; 108:64-88.

Somers D, Kopell N. Rapid synchronization through fast threshold modulation. Biol Cybern. 1993; 68(5):393-407. PMID: 8476980

Kopell N. From topology to computation: Proceedings of the Smalefest. Dynamical systems and the geometry of singularly perturbed equations. Springer-Verlag. New York. 1993.
Marder E, Abbott L, Sharp A, Kopell N. From neural networks to artificial intelligence, Research notes in neural computing, M. Arbib, P. Rudomin, and F. Cervantes, eds. Electrical coupling in networks containing oscillators. Springer Verlag. New York. 1993; 33-42.

Cohen AH, Ermentrout GB, Kiemel T, Kopell N, Sigvardt KA, Williams TL. Modelling of intersegmental coordination in the lamprey central pattern generator for locomotion. Trends Neurosci. 1992 Nov; 15(11):434-8. PMID: 1281350

Ermentrout GB, Kopell N. Multiple pulse interactions and averaging in coupled neural oscillators. Journal of Math. Biol. 1991; 29:195-217.
Kopell N, Ermentrout GB, Williams T. On chains of neural oscillators forced at one end. SIAM J. Appl. Math. 1991; 51:1397-17.
Jones C, Kopell N, Langer R. Pattern and dynamics in reactive media, IMA Volumes in Mathematics and its Applications, H. Swinney, G. Aris and D. Aronson, eds. Construction of the FitzHugh-Nagumo pulse using differential forms. Springer-Verlag. New York. 1991; 37:101-16.

Williams TL, Sigvardt KA, Kopell N, Ermentrout GB, Remler MP. Forcing of coupled nonlinear oscillators: studies of intersegmental coordination in the lamprey locomotor central pattern generator. J Neurophysiol. 1990 Sep; 64(3):862-71. PMID: 2230930

Aronson DG, Ermentrout GB, Kopell N. Amplitude response of coupled Oscillators. Physica D. 1990; 41:403-49.
Ermentrout GB, Kopell N. SIAM J. Appl. Math. Oscillator death in systems of coupled neural oscillators. 1990; 50:125-46.
Kopell N, Zhang W, Ermentrout GB. Multiple coupling in chains of oscillators. SIAM J. Math. Anal. 1990; 21:935-53.
Kopell N, Ermentrout GB. Computational neuroscience, E. Schwartz, ed. Structure and function in an oscillating neural network. MIT Press. Boston. 1990; 201-9.
Kopell N, Ermentrout GB. Phase transitions and other phenomena in chains ofoscillators. SIAM J. Appl. Math. 1990; 50:1014-52.
Ermentrout GB, Kopell N. Theoretical models of cell signalling, A. Goldbeter, ed. Some mathematical questions concerning central pattern generators. Academic Press. New York. 1989; 89-98.
Kopell N. Dynamic patterns in complex systems, S. Kelso, ed. Chains of oscillators and the effects of multiple coupling. Appendix to studies of the lamprey central pattern generator for locomotion: A close relationship between modeling and experimentation, by A.H. Cohen. World Scientific Publishers. 1988; 156-161.
Kopell N, Ermentrout GB. Coupled oscillators and the design of central pattern generators. Math. Biosciences. 1988; 90:87-109.
Kopell N. Neural control of rhythmic movements, A. Cohen, S. Grillner, S. Rossignol, eds. Toward a theory of modelling central pattern generators. J. Wiley. New York. 1987; 369-413.
N. Kopell. Phase methods for coupled oscillators and related topics: An annotated Bibliography. J. Statistical Physics. 1986; 44:1035-42.
Kopell N. Nonlinear oscillations in biology and chemistry, H. Othmer, ed., Lecture Notes in Biomathematics. Coupled oscillators and locomotion by fish. Springer-Verlag. New York. 1986; 66:166-74.
Kopell N, Ruelle D. Bounds on complexity in reaction-diffusion systems. SIAM J. Appl. Math. 1986; 46:68-80.
Ermentrout GB, Kopell N. Parabolic bursting in an excitable system coupled with a slow oscillation. SIAM J. Appl. Math. 1986; 46:233-53.
Kopell N, Ermentrout GB. Symmetry and phaselocking in chains of weakly coupledOscillators. Comm. Pure Appl. Mathematics. 1986; 39:623-60.
Kopell N, Ermentrout GB. Subcellular oscillations and bursting. Math. Biosciences. 1986; 78:265-91.
Kopell N . Neurobiology of vertebrate locomotion, S. Grillner, P.S.G. Stein, D.G. Stuart, H. Forssberg, and R. Herman, eds., Wenner-Grenn Center International Symposium Series. Modelling C.P.G.'s: A robust approach. Macmillan. London. 1986; 383-5.
Kopell N. Invariant manifolds and the initialization problem for some atmospheric equations. Physica D. 1985; 14:203-15.
Kopell N. Proc. of the 1983 International Congress, Warsaw. Forced and coupled oscillators in biological applications. International Congress. North Holland, Amsterdam. 1984; 1645-60.
Ermentrout GB, Kopell N. Frequency plateaus in a chain of weakly coupled Oscillators. SIAM J. on Math. Anal. 1984; 15:215-37.
Kopell N. Chaos in nonlinear dynamical systems, J. Chandra, ed. Symmetry and coherence in a chain of coupled oscillators. SIAM. Philadelphia. 1984; 86-93.
Kopell N, Washburn R. Chaotic motions in the two-degree of freedom swing equations. IEEE Transactions on Circuits and Systems, Special Issue on Power Systems. 1982; CAS-29(11):738-46.
Kopell N, Ermentrout GB. Oscillation in mathematical biology, Lecture Notes in Biomathematics, J.P.E. Hodgson, ed. Coupled oscillators and mammalian small intestines. Springer-Verlag. New York. 1982; 51:24-36.
Kopell N. Nonlinear Partial Differential Equations, Contemporary Mathematics, J. Smoller, ed. Frequency plateaus in a chain of weakly coupled oscillators. American Mathematical Society. Providence. 1982; 17:401-4.
Kopell N. Target pattern solutions to reaction-diffusion equations in the presence of impurities. Adv. Appl. Math. 1981; 2:389-99.
Kopell N, Howard LN. Target patterns and horseshoes from a perturbed central force problem: Some temporally periodic solutions to reaction-diffusion equations. Studies in Appl. Math. 1981; 64:1-56.
Kopell N, Howard LN. Target patterns and spiral solutions to reaction-diffusion equations with more than one space dimension. Adv. Appl. Math. 1981; 2:417-49.
Kopell N, Parter S. A complete analysis of a model nonlinear equation having a continuous locus of turning points. Advances in Appl. Math. 1981; 2:212-38.
Kopell N. Nonlinear dynamics, R. Helleman, ed. Time periodic but spatially irregular solutions to a model reaction-diffusion equation. Academy of Sciences. New York, NY. 1980; 397-409.
Kopell, N. Singular perturbations and asymptotics, R. Meyer, ed. The singularly perturbed turning point problem: A geometric approach. Academic Press. New York. 1980; 173-90.
Kopell N. A geometric approach to boundary layer problems exhibiting resonance. SIAM J. Appl. Math. 1979; 37:436-58.
Kopell N. Psychology and biology of language and thought: Essays in honor of Eric Lenneberg, G. Miller, ed. Pattern formation in chemistry and biology: A mini-survey of mechanisms. Academic Press. New York. 1978; 65-85.
Howard LN, Kopell N. The Hopf Bifurcation and its Applications, Applied Mathematical Sciences, J. Marsden and M. McCracken, eds. Translation, with editorial comments, of E. Hopf's Abzeigung einer periodischen Losung von einer stationaren Losung eines Differentialsystems. Springer-Verlag. New York. 1978; 19:163-205.
Kopell N. Studies in mathematical biology, S. Levin, ed. MAA Studies in Mathematics. Reaction-diffusion equations and pattern formation. Mathematical Association of America. 1978; 15:191-205.
Kopell N. Nonlinear Diffusion, Research Notes in Mathematics. Waves, shocks and target patterns in an oscillating chemical reagen. Pitman. 1977; 14:129-54.
Howard LN, Kopell N. Slowly varying waves and shocks in reaction-diffusion equations. Studies in Appl. Math. 1977; 56:95-145.
Kopell N, Stolzenberg G. Commentary on Bishop's talk. Historia Mathematica. 1975; 2:519-21.
Kopell N, Howard LN. Bifurcations and trajectories joining critical points. Adv. in Math. 1975; 18:306-58.
Kopell N, Howard LN. Pattern formation in the Belousov reaction. Lectures on Mathematics in the Life Sciences. 1974; 7:201-16.
Howard LN, Kopell N. Mathematical Aspects of Chemical and Biochemical Problems and Quantum Chemistry. Wave trains, shock structures and transition layers in reaction-diffusion equations. American Mathematical Society. Providence. 1974; 8:274-83.

Kopell N. Discussion paper: dissipative and nondissipative structure. Ann N Y Acad Sci. 1974; 231(1):106-7. PMID: 4522887

Kopell N, Howard LN. Horizontal bands in the belousov reaction. Science. 1973 Jun 15; 180(4091):1171-3. PMID: 17743601

Kopell N, Howard LN. Plane wave solutions to reaction diffusion equations. Studies in Appl. Math. 1973; 52:291-328.
Kopell N. Global Analysis, Symposia in Pure Mathematics. Commuting diffeomorphisms. American Mathematical Society. Providence. 1970; 14:165-84.

This graph shows the total number of publications by year, by first, middle/unknown, or last author.

Bar chart showing 197 publications over 44 distinct years, with a maximum of 13 publications in 2008

Bar chart showing 197 publications over 44 distinct years, with a maximum of 13 publications in 2008

Year	Publications
1980	2
1981	4
1982	3
1984	3
1985	1
1986	7
1987	1
1988	2
1989	1
1990	6
1991	3
1992	1
1993	3
1994	11
1995	4
1996	4
1997	3
1998	8
1999	3
2000	7
2001	2
2002	1
2003	10
2004	3
2005	9
2006	5
2007	5
2008	13
2009	6
2010	5
2011	4
2012	7
2013	9
2014	2
2015	6
2016	4
2017	5
2018	7
2019	2
2020	4
2021	2
2022	2
2023	4
2024	3