Nicolas Brunel
Duke School of Medicine Distinguished Professor in Neuroscience
We use theoretical models of brain systems to investigate how they process and learn information from their inputs. Our current work focuses on the mechanisms of learning and memory, from the synapse to the network level, in collaboration with various experimental groups. Using methods from
statistical physics, we have shown recently that the synaptic
connectivity of a network that maximizes storage capacity reproduces
two key experimentally observed features: low connection probability
and strong overrepresentation of bidirectionnally connected pairs of
neurons. We have also inferred `synaptic plasticity rules' (a
mathematical description of how synaptic strength depends on the
activity of pre and post-synaptic neurons) from data, and shown that
networks endowed with a plasticity rule inferred from data have a
storage capacity that is close to the optimal bound.
statistical physics, we have shown recently that the synaptic
connectivity of a network that maximizes storage capacity reproduces
two key experimentally observed features: low connection probability
and strong overrepresentation of bidirectionnally connected pairs of
neurons. We have also inferred `synaptic plasticity rules' (a
mathematical description of how synaptic strength depends on the
activity of pre and post-synaptic neurons) from data, and shown that
networks endowed with a plasticity rule inferred from data have a
storage capacity that is close to the optimal bound.
Current Appointments & Affiliations
- Duke School of Medicine Distinguished Professor in Neuroscience, Neurobiology, Basic Science Departments 2022
- Professor of Neurobiology, Neurobiology, Basic Science Departments 2017
- Professor of Physics, Physics, Trinity College of Arts & Sciences 2017
- Faculty Network Member of the Duke Institute for Brain Sciences, Duke Institute for Brain Sciences, University Institutes and Centers 2018
- Member of the Center for Cognitive Neuroscience, Center for Cognitive Neuroscience, Duke Institute for Brain Sciences 2018
Contact Information
- 311 Research Drive, Durham, NC 27710
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nicolas.brunel@duke.edu
(919) 684-8684
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Neurobiology page
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Other physics page
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Physics page
- Background
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Education, Training, & Certifications
- Ph.D., Pierre and Marie Curie University (France) 1993
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Academic Positions Outside Duke
- Professor, The University of Chicago. 2012 - 2017
- Directeur de Recherches, CNRS, Universite Paris Descartes. 2005 - 2012
- Charge de Recherches, CNRS, Universite Paris Descartes. 2001 - 2005
- Charge de Recherches, CNRS, Ecole Normale Superieure. 1995 - 2001
- Recognition
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In the News
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Awards & Honors
- Research
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Selected Grants
- Medical Scientist Training Program awarded by National Institutes of Health 2022 - 2027
- Neurobiology Training Program awarded by National Institutes of Health 2019 - 2024
- Canonical computations for motor learning by the cerebellar cortex micro-circuit awarded by National Institutes of Health 2019 - 2024
- Striatal Microcircuit Drivers of Adaptive Learning in Habit Formation awarded by National Institutes of Health 2018 - 2023
- CRCNS: Multiscale dynamics of cortical circuits for visual recognition & memory awarded by University of Chicago 2017 - 2023
- Large-scale, neuronal ensemble recordings in motor cortex of the behaving marmoset awarded by University of Chicago 2018 - 2022
- Circuitry underlying response summation in mouse and primate: theory and experiment awarded by Salk Institute Biotechnology/Industrial Associatio 2018 - 2022
- Medical Scientist Training Program awarded by National Institutes of Health 1997 - 2022
- Investigating ripple oscillations as a mechanism for human memory retrieval awarded by National Institutes of Health 2019 - 2022
- An Integrated Nonparametric Bayesian and Deep Neural Network Framework for Biologically-Inspired Lifelong Learning awarded by Defense Advanced Research Projects Agency 2018 - 2022
- Learning spatio-temporal statistics from the environment in recurrent networks awarded by Office of Naval Research 2017 - 2020
- Learning spatio-temporal statistics from the environment in recurrent networks awarded by University of Texas Health Science Center at Houston 2017 - 2020
- CRCNS: US-French Research Proposal: Synaptic plasticity rules under physiological conditions for hippocampus and cerebellum awarded by National Science Foundation 2017
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External Relationships
- Centre de Recerca Matematica, Universitat Autonoma de Barcelona
- Universita Bocconi
- Universita La Sapienza
- Publications & Artistic Works
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Selected Publications
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Academic Articles
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Bachschmid-Romano, Ludovica, Nicholas G. Hatsopoulos, and Nicolas Brunel. “Interplay between external inputs and recurrent dynamics during movement preparation and execution in a network model of motor cortex.” Elife 12 (May 11, 2023). https://doi.org/10.7554/eLife.77690.Full Text Link to Item
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Goldt, Sebastian, Florent Krzakala, Lenka Zdeborová, and Nicolas Brunel. “Bayesian reconstruction of memories stored in neural networks from their connectivity.” Plos Comput Biol 19, no. 1 (January 2023): e1010813. https://doi.org/10.1371/journal.pcbi.1010813.Full Text Link to Item
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Pereira-Obilinovic, U., J. Aljadeff, and N. Brunel. “Forgetting Leads to Chaos in Attractor Networks.” Physical Review X 13, no. 1 (January 1, 2023). https://doi.org/10.1103/PhysRevX.13.011009.Full Text
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De Pittà, Maurizio, and Nicolas Brunel. “Multiple forms of working memory emerge from synapse-astrocyte interactions in a neuron-glia network model.” Proc Natl Acad Sci U S A 119, no. 43 (October 25, 2022): e2207912119. https://doi.org/10.1073/pnas.2207912119.Full Text Link to Item
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Abed Zadeh, Aghil, Brandon D. Turner, Nicole Calakos, and Nicolas Brunel. “Non-monotonic effects of GABAergic synaptic inputs on neuronal firing.” Plos Comput Biol 18, no. 6 (June 2022): e1010226. https://doi.org/10.1371/journal.pcbi.1010226.Full Text Open Access Copy Link to Item
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Feng, Yu, and Nicolas Brunel. “Storage capacity of networks with discrete synapses and sparsely encoded memories.” Phys Rev E 105, no. 5–1 (May 2022): 054408. https://doi.org/10.1103/PhysRevE.105.054408.Full Text Open Access Copy Link to Item
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Sanzeni, A., M. H. Histed, and N. Brunel. “Emergence of Irregular Activity in Networks of Strongly Coupled Conductance-Based Neurons.” Phys Rev X 12, no. 1 (2022). https://doi.org/10.1103/physrevx.12.011044.Full Text Open Access Copy Link to Item
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Feng, Yu, and Nicolas Brunel. “Storage capacity of networks with discrete synapses and sparsely encoded memories,” December 13, 2021.Open Access Copy Link to Item
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Pereira-Obilinovic, Ulises, Johnatan Aljadeff, and Nicolas Brunel. “Forgetting leads to chaos in attractor networks,” November 30, 2021.Open Access Copy Link to Item
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Aljadeff, Johnatan, Maxwell Gillett, Ulises Pereira Obilinovic, and Nicolas Brunel. “From synapse to network: models of information storage and retrieval in neural circuits.” Curr Opin Neurobiol 70 (October 2021): 24–33. https://doi.org/10.1016/j.conb.2021.05.005.Full Text Open Access Copy Link to Item
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Goldt, Sebastian, Florent Krzakala, Lenka Zdeborová, and Nicolas Brunel. “Bayesian reconstruction of memories stored in neural networks from their connectivity.” Plos Computational Biology 19(1): E1010813 2023, May 16, 2021.Open Access Copy Link to Item
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Inglebert, Yanis, Johnatan Aljadeff, Nicolas Brunel, and Dominique Debanne. “Synaptic plasticity rules with physiological calcium levels.” Proc Natl Acad Sci U S A 117, no. 52 (December 29, 2020): 33639–48. https://doi.org/10.1073/pnas.2013663117.Full Text Open Access Copy Link to Item
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Gillett, Maxwell, Ulises Pereira, and Nicolas Brunel. “Characteristics of sequential activity in networks with temporally asymmetric Hebbian learning.” Proc Natl Acad Sci U S A 117, no. 47 (November 24, 2020): 29948–58. https://doi.org/10.1073/pnas.1918674117.Full Text Open Access Copy Link to Item
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Sanzeni, Alessandro, Mark H. Histed, and Nicolas Brunel. “Emergence of irregular activity in networks of strongly coupled conductance-based neurons,” September 25, 2020.Open Access Copy Link to Item
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Sanzeni, Alessandro, Mark H. Histed, and Nicolas Brunel. “Response nonlinearities in networks of spiking neurons.” Plos Comput Biol 16, no. 9 (September 2020): e1008165. https://doi.org/10.1371/journal.pcbi.1008165.Full Text Open Access Copy Link to Item
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Sanzeni, Alessandro, Bradley Akitake, Hannah C. Goldbach, Caitlin E. Leedy, Nicolas Brunel, and Mark H. Histed. “Inhibition stabilization is a widespread property of cortical networks.” Elife 9 (June 29, 2020). https://doi.org/10.7554/eLife.54875.Full Text Open Access Copy Link to Item
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Fore, Taylor R., Benjamin N. Taylor, Nicolas Brunel, and Court Hull. “Acetylcholine Modulates Cerebellar Granule Cell Spiking by Regulating the Balance of Synaptic Excitation and Inhibition.” J Neurosci 40, no. 14 (April 1, 2020): 2882–94. https://doi.org/10.1523/JNEUROSCI.2148-19.2020.Full Text Open Access Copy Link to Item
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Oleskiw, Timothy D., Wyeth Bair, Eric Shea-Brown, and Nicolas Brunel. “Firing rate of the leaky integrate-and-fire neuron with stochastic conductance-based synaptic inputs with short decay times,” February 25, 2020.Open Access Copy Link to Item
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Vaz, Alex P., Sara K. Inati, Nicolas Brunel, and Kareem A. Zaghloul. “Coupled ripple oscillations between the medial temporal lobe and neocortex retrieve human memory.” Science 363, no. 6430 (March 1, 2019): 975–78. https://doi.org/10.1126/science.aau8956.Full Text Open Access Copy Link to Item
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Pereira, Ulises, and Nicolas Brunel. “Unsupervised Learning of Persistent and Sequential Activity.” Front Comput Neurosci 13 (2019): 97. https://doi.org/10.3389/fncom.2019.00097.Full Text Open Access Copy Link to Item
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Bouvier, Guy, Johnatan Aljadeff, Claudia Clopath, Célian Bimbard, Jonas Ranft, Antonin Blot, Jean-Pierre Nadal, Nicolas Brunel, Vincent Hakim, and Boris Barbour. “Cerebellar learning using perturbations.” Elife 7 (November 12, 2018). https://doi.org/10.7554/eLife.31599.Full Text Open Access Copy Link to Item
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Pereira, Ulises, and Nicolas Brunel. “Attractor Dynamics in Networks with Learning Rules Inferred from In Vivo Data.” Neuron 99, no. 1 (July 11, 2018): 227-238.e4. https://doi.org/10.1016/j.neuron.2018.05.038.Full Text Open Access Copy Link to Item
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Martí, Daniel, Nicolas Brunel, and Srdjan Ostojic. “Correlations between synapses in pairs of neurons slow down dynamics in randomly connected neural networks.” Phys Rev E 97, no. 6–1 (June 2018): 062314. https://doi.org/10.1103/PhysRevE.97.062314.Full Text Open Access Copy Link to Item
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Tartaglia, Elisa M., and Nicolas Brunel. “Bistability and up/down state alternations in inhibition-dominated randomly connected networks of LIF neurons.” Sci Rep 7, no. 1 (September 20, 2017): 11916. https://doi.org/10.1038/s41598-017-12033-y.Full Text Open Access Copy Link to Item
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Titley, Heather K., Nicolas Brunel, and Christian Hansel. “Toward a Neurocentric View of Learning.” Neuron 95, no. 1 (July 5, 2017): 19–32. https://doi.org/10.1016/j.neuron.2017.05.021.Full Text Open Access Copy Link to Item
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Zampini, Valeria, Jian K. Liu, Marco A. Diana, Paloma P. Maldonado, Nicolas Brunel, and Stéphane Dieudonné. “Mechanisms and functional roles of glutamatergic synapse diversity in a cerebellar circuit.” Elife 5 (September 19, 2016). https://doi.org/10.7554/eLife.15872.Full Text Open Access Copy Link to Item
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De Pittà, M., N. Brunel, and A. Volterra. “Astrocytes: Orchestrating synaptic plasticity?” Neuroscience 323 (May 26, 2016): 43–61. https://doi.org/10.1016/j.neuroscience.2015.04.001.Full Text Open Access Copy Link to Item
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Brunel, Nicolas. “Is cortical connectivity optimized for storing information?” Nat Neurosci 19, no. 5 (May 2016): 749–55. https://doi.org/10.1038/nn.4286.Full Text Open Access Copy Link to Item
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Bouvier, Guy, David Higgins, Maria Spolidoro, Damien Carrel, Benjamin Mathieu, Clément Léna, Stéphane Dieudonné, Boris Barbour, Nicolas Brunel, and Mariano Casado. “Burst-Dependent Bidirectional Plasticity in the Cerebellum Is Driven by Presynaptic NMDA Receptors.” Cell Rep 15, no. 1 (April 5, 2016): 104–16. https://doi.org/10.1016/j.celrep.2016.03.004.Full Text Open Access Copy Link to Item
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Dubreuil, Alexis M., and Nicolas Brunel. “Storing structured sparse memories in a multi-modular cortical network model.” J Comput Neurosci 40, no. 2 (April 2016): 157–75. https://doi.org/10.1007/s10827-016-0590-z.Full Text Open Access Copy Link to Item
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De Pittà, Maurizio, and Nicolas Brunel. “Modulation of Synaptic Plasticity by Glutamatergic Gliotransmission: A Modeling Study.” Neural Plast 2016 (2016): 7607924. https://doi.org/10.1155/2016/7607924.Full Text Open Access Copy Link to Item
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Lim, Sukbin, Jillian L. McKee, Luke Woloszyn, Yali Amit, David J. Freedman, David L. Sheinberg, and Nicolas Brunel. “Inferring learning rules from distributions of firing rates in cortical neurons.” Nat Neurosci 18, no. 12 (December 2015): 1804–10. https://doi.org/10.1038/nn.4158.Full Text Open Access Copy Link to Item
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Alemi, Alireza, Carlo Baldassi, Nicolas Brunel, and Riccardo Zecchina. “A Three-Threshold Learning Rule Approaches the Maximal Capacity of Recurrent Neural Networks.” Plos Comput Biol 11, no. 8 (August 2015): e1004439. https://doi.org/10.1371/journal.pcbi.1004439.Full Text Open Access Copy Link to Item
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Ostojic, Srdjan, Germán Szapiro, Eric Schwartz, Boris Barbour, Nicolas Brunel, and Vincent Hakim. “Neuronal morphology generates high-frequency firing resonance.” J Neurosci 35, no. 18 (May 6, 2015): 7056–68. https://doi.org/10.1523/JNEUROSCI.3924-14.2015.Full Text Open Access Copy Link to Item
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Tartaglia, Elisa M., Nicolas Brunel, and Gianluigi Mongillo. “Modulation of network excitability by persistent activity: how working memory affects the response to incoming stimuli.” Plos Comput Biol 11, no. 2 (February 2015): e1004059. https://doi.org/10.1371/journal.pcbi.1004059.Full Text Open Access Copy Link to Item
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Barbieri, Francesca, Alberto Mazzoni, Nikos K. Logothetis, Stefano Panzeri, and Nicolas Brunel. “Stimulus dependence of local field potential spectra: experiment versus theory.” J Neurosci 34, no. 44 (October 29, 2014): 14589–605. https://doi.org/10.1523/JNEUROSCI.5365-13.2014.Full Text Open Access Copy Link to Item
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Higgins, David, Michael Graupner, and Nicolas Brunel. “Memory maintenance in synapses with calcium-based plasticity in the presence of background activity.” Plos Comput Biol 10, no. 10 (October 2014): e1003834. https://doi.org/10.1371/journal.pcbi.1003834.Full Text Open Access Copy Link to Item
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Dubreuil, Alexis M., Yali Amit, and Nicolas Brunel. “Memory capacity of networks with stochastic binary synapses.” Plos Comput Biol 10, no. 8 (August 2014): e1003727. https://doi.org/10.1371/journal.pcbi.1003727.Full Text Open Access Copy Link to Item
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Clopath, Claudia, Aleksandra Badura, Chris I. De Zeeuw, and Nicolas Brunel. “A cerebellar learning model of vestibulo-ocular reflex adaptation in wild-type and mutant mice.” J Neurosci 34, no. 21 (May 21, 2014): 7203–15. https://doi.org/10.1523/JNEUROSCI.2791-13.2014.Full Text Open Access Copy Link to Item
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Brunel, Nicolas, Vincent Hakim, and Magnus J. E. Richardson. “Single neuron dynamics and computation.” Curr Opin Neurobiol 25 (April 2014): 149–55. https://doi.org/10.1016/j.conb.2014.01.005.Full Text Open Access Copy Link to Item
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Hertäg, Loreen, Daniel Durstewitz, and Nicolas Brunel. “Analytical approximations of the firing rate of an adaptive exponential integrate-and-fire neuron in the presence of synaptic noise.” Front Comput Neurosci 8 (2014): 116. https://doi.org/10.3389/fncom.2014.00116.Full Text Open Access Copy Link to Item
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Tartaglia, Elisa M., Gianluigi Mongillo, and Nicolas Brunel. “On the relationship between persistent delay activity, repetition enhancement and priming.” Front Psychol 5 (2014): 1590. https://doi.org/10.3389/fpsyg.2014.01590.Full Text Open Access Copy Link to Item
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Clopath, Claudia, and Nicolas Brunel. “Optimal properties of analog perceptrons with excitatory weights.” Plos Comput Biol 9, no. 2 (2013): e1002919. https://doi.org/10.1371/journal.pcbi.1002919.Full Text Open Access Copy Link to Item
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Graupner, Michael, and Nicolas Brunel. “Calcium-based plasticity model explains sensitivity of synaptic changes to spike pattern, rate, and dendritic location.” Proc Natl Acad Sci U S A 109, no. 10 (March 6, 2012): 3991–96. https://doi.org/10.1073/pnas.1109359109.Full Text Open Access Copy Link to Item
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Clopath, Claudia, Jean-Pierre Nadal, and Nicolas Brunel. “Storage of correlated patterns in standard and bistable Purkinje cell models.” Plos Comput Biol 8, no. 4 (2012): e1002448. https://doi.org/10.1371/journal.pcbi.1002448.Full Text Open Access Copy Link to Item
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Roxin, Alex, Nicolas Brunel, David Hansel, Gianluigi Mongillo, and Carl van Vreeswijk. “On the distribution of firing rates in networks of cortical neurons.” J Neurosci 31, no. 45 (November 9, 2011): 16217–26. https://doi.org/10.1523/JNEUROSCI.1677-11.2011.Full Text Open Access Copy Link to Item
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Ostojic, Srdjan, and Nicolas Brunel. “From spiking neuron models to linear-nonlinear models.” Plos Comput Biol 7, no. 1 (January 20, 2011): e1001056. https://doi.org/10.1371/journal.pcbi.1001056.Full Text Open Access Copy Link to Item
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Hamaguchi, Kosuke, Alexa Riehle, and Nicolas Brunel. “Estimating network parameters from combined dynamics of firing rate and irregularity of single neurons.” J Neurophysiol 105, no. 1 (January 2011): 487–500. https://doi.org/10.1152/jn.00858.2009.Full Text Open Access Copy Link to Item
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Ledoux, Erwan, and Nicolas Brunel. “Dynamics of networks of excitatory and inhibitory neurons in response to time-dependent inputs.” Front Comput Neurosci 5 (2011): 25. https://doi.org/10.3389/fncom.2011.00025.Full Text Open Access Copy Link to Item
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Mazzoni, Alberto, Nicolas Brunel, Stefano Cavallari, Nikos K. Logothetis, and Stefano Panzeri. “Cortical dynamics during naturalistic sensory stimulations: experiments and models.” J Physiol Paris 105, no. 1–3 (2011): 2–15. https://doi.org/10.1016/j.jphysparis.2011.07.014.Full Text Open Access Copy Link to Item
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Mazzoni, Alberto, Kevin Whittingstall, Nicolas Brunel, Nikos K. Logothetis, and Stefano Panzeri. “Understanding the relationships between spike rate and delta/gamma frequency bands of LFPs and EEGs using a local cortical network model.” Neuroimage 52, no. 3 (September 2010): 956–72. https://doi.org/10.1016/j.neuroimage.2009.12.040.Full Text Open Access Copy Link to Item
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Panzeri, Stefano, Nicolas Brunel, Nikos K. Logothetis, and Christoph Kayser. “Sensory neural codes using multiplexed temporal scales.” Trends Neurosci 33, no. 3 (March 2010): 111–20. https://doi.org/10.1016/j.tins.2009.12.001.Full Text Link to Item
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Graupner, Michael, and Nicolas Brunel. “Mechanisms of induction and maintenance of spike-timing dependent plasticity in biophysical synapse models.” Front Comput Neurosci 4 (2010). https://doi.org/10.3389/fncom.2010.00136.Full Text Link to Item
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Brunel, Nicolas, and Frédéric Lavigne. “Semantic priming in a cortical network model.” J Cogn Neurosci 21, no. 12 (December 2009): 2300–2319. https://doi.org/10.1162/jocn.2008.21156.Full Text Link to Item
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Graupner, Michael, and Nicolas Brunel. “A bitable synaptic model with transitions between states induced by calcium dynamics: theory vs experiment.” Bmc Neuroscience 10, no. S1 (September 2009). https://doi.org/10.1186/1471-2202-10-s1-o15.Full Text
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Ostojic, Srdjan, Nicolas Brunel, and Vincent Hakim. “How connectivity, background activity, and synaptic properties shape the cross-correlation between spike trains.” J Neurosci 29, no. 33 (August 19, 2009): 10234–53. https://doi.org/10.1523/JNEUROSCI.1275-09.2009.Full Text Link to Item
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Ostojic, Srdjan, Nicolas Brunel, and Vincent Hakim. “Synchronization properties of networks of electrically coupled neurons in the presence of noise and heterogeneities.” J Comput Neurosci 26, no. 3 (June 2009): 369–92. https://doi.org/10.1007/s10827-008-0117-3.Full Text Link to Item
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Zillmer, Rüdiger, Nicolas Brunel, and David Hansel. “Very long transients, irregular firing, and chaotic dynamics in networks of randomly connected inhibitory integrate-and-fire neurons.” Phys Rev E Stat Nonlin Soft Matter Phys 79, no. 3 Pt 1 (March 2009): 031909. https://doi.org/10.1103/PhysRevE.79.031909.Full Text Link to Item
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Dugué, Guillaume P., Nicolas Brunel, Vincent Hakim, Eric Schwartz, Mireille Chat, Maxime Lévesque, Richard Courtemanche, Clément Léna, and Stéphane Dieudonné. “Electrical coupling mediates tunable low-frequency oscillations and resonance in the cerebellar Golgi cell network.” Neuron 61, no. 1 (January 15, 2009): 126–39. https://doi.org/10.1016/j.neuron.2008.11.028.Full Text Link to Item
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Mazzoni, Alberto, Stefano Panzeri, Nikos K. Logothetis, and Nicolas Brunel. “Encoding of naturalistic stimuli by local field potential spectra in networks of excitatory and inhibitory neurons.” Plos Comput Biol 4, no. 12 (December 2008): e1000239. https://doi.org/10.1371/journal.pcbi.1000239.Full Text Link to Item
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Roxin, Alex, Vincent Hakim, and Nicolas Brunel. “The statistics of repeating patterns of cortical activity can be reproduced by a model network of stochastic binary neurons.” J Neurosci 28, no. 42 (October 15, 2008): 10734–45. https://doi.org/10.1523/JNEUROSCI.1016-08.2008.Full Text Link to Item
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Barbieri, Francesca, and Nicolas Brunel. “Can attractor network models account for the statistics of firing during persistent activity in prefrontal cortex?” Front Neurosci 2, no. 1 (July 2008): 114–22. https://doi.org/10.3389/neuro.01.003.2008.Full Text Link to Item
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Solages, Camille de, Germán Szapiro, Nicolas Brunel, Vincent Hakim, Philippe Isope, Pierre Buisseret, Charly Rousseau, Boris Barbour, and Clément Léna. “High-frequency organization and synchrony of activity in the purkinje cell layer of the cerebellum.” Neuron 58, no. 5 (June 12, 2008): 775–88. https://doi.org/10.1016/j.neuron.2008.05.008.Full Text Link to Item
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Brunel, Nicolas, and Vincent Hakim. “Sparsely synchronized neuronal oscillations.” Chaos 18, no. 1 (March 2008): 015113. https://doi.org/10.1063/1.2779858.Full Text Link to Item
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Brunel, Nicolas. “Daniel Amit (1938-2007).” Network 19, no. 1 (2008): 3–8. https://doi.org/10.1080/09548980801915391.Full Text Link to Item
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Battaglia, Demian, Nicolas Brunel, and David Hansel. “Temporal decorrelation of collective oscillations in neural networks with local inhibition and long-range excitation.” Phys Rev Lett 99, no. 23 (December 7, 2007): 238106. https://doi.org/10.1103/PhysRevLett.99.238106.Full Text Link to Item
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Barbour, Boris, Nicolas Brunel, Vincent Hakim, and Jean-Pierre Nadal. “What can we learn from synaptic weight distributions?” Trends Neurosci 30, no. 12 (December 2007): 622–29. https://doi.org/10.1016/j.tins.2007.09.005.Full Text Link to Item
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Brunel, Nicolas, and Mark C. W. van Rossum. “Lapicque's 1907 paper: from frogs to integrate-and-fire.” Biol Cybern 97, no. 5–6 (December 2007): 337–39. https://doi.org/10.1007/s00422-007-0190-0.Full Text Link to Item
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Graupner, Michael, and Nicolas Brunel. “STDP in a bistable synapse model based on CaMKII and associated signaling pathways.” Plos Comput Biol 3, no. 11 (November 2007): e221. https://doi.org/10.1371/journal.pcbi.0030221.Full Text Link to Item
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Baldassi, Carlo, Alfredo Braunstein, Nicolas Brunel, and Riccardo Zecchina. “Efficient supervised learning in networks with binary synapses.” Proc Natl Acad Sci U S A 104, no. 26 (June 26, 2007): 11079–84. https://doi.org/10.1073/pnas.0700324104.Full Text Link to Item
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Baldassi, Carlo, Alfredo Braunstein, Nicolas Brunel, and Riccardo Zecchina. “Efficient supervised learning in networks with binary synapses.” Proc. Natl. Acad. Sci. Usa 104 (2007): 11079–84. https://doi.org/10.1073/pnas.0700324104.Full Text
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Barbieri, Francesca, and Nicolas Brunel. “Irregular persistent activity induced by synaptic excitatory feedback.” Front Comput Neurosci 1 (2007): 5. https://doi.org/10.3389/neuro.10.005.2007.Full Text Link to Item
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Brunel, Nicolas, and David Hansel. “How noise affects the synchronization properties of recurrent networks of inhibitory neurons.” Neural Comput 18, no. 5 (May 2006): 1066–1110. https://doi.org/10.1162/089976606776241048.Full Text Link to Item
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Geisler, Caroline, Nicolas Brunel, and Xiao-Jing Wang. “Contributions of intrinsic membrane dynamics to fast network oscillations with irregular neuronal discharges.” J Neurophysiol 94, no. 6 (December 2005): 4344–61. https://doi.org/10.1152/jn.00510.2004.Full Text Link to Item
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Roxin, Alex, Nicolas Brunel, and David Hansel. “Role of delays in shaping spatiotemporal dynamics of neuronal activity in large networks.” Phys Rev Lett 94, no. 23 (June 17, 2005): 238103. https://doi.org/10.1103/PhysRevLett.94.238103.Full Text Link to Item
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Brunel, N. “Course 10 Network models of memory” 80, no. C (January 1, 2005): 407–76. https://doi.org/10.1016/S0924-8099(05)80016-2.Full Text
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Boucheny, Christian, Nicolas Brunel, and Angelo Arleo. “A continuous attractor network model without recurrent excitation: maintenance and integration in the head direction cell system.” J Comput Neurosci 18, no. 2 (2005): 205–27. https://doi.org/10.1007/s10827-005-6559-y.Full Text Link to Item
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Brunel, Nicolas, Vincent Hakim, Philippe Isope, Jean-Pierre Nadal, and Boris Barbour. “Optimal information storage and the distribution of synaptic weights: perceptron versus Purkinje cell.” Neuron 43, no. 5 (September 2, 2004): 745–57. https://doi.org/10.1016/j.neuron.2004.08.023.Full Text Link to Item
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Fourcaud-Trocmé, Nicolas, David Hansel, Carl van Vreeswijk, and Nicolas Brunel. “How spike generation mechanisms determine the neuronal response to fluctuating inputs.” J Neurosci 23, no. 37 (December 17, 2003): 11628–40. https://doi.org/10.1523/JNEUROSCI.23-37-11628.2003.Full Text Link to Item
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Brunel, Nicolas. “Dynamics and plasticity of stimulus-selective persistent activity in cortical network models.” Cereb Cortex 13, no. 11 (November 2003): 1151–61. https://doi.org/10.1093/cercor/bhg096.Full Text Link to Item
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Brunel, Nicolas, and Peter E. Latham. “Firing rate of the noisy quadratic integrate-and-fire neuron.” Neural Comput 15, no. 10 (October 2003): 2281–2306. https://doi.org/10.1162/089976603322362365.Full Text Link to Item
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Mongillo, Gianluigi, Daniel J. Amit, and Nicolas Brunel. “Retrospective and prospective persistent activity induced by Hebbian learning in a recurrent cortical network.” Eur J Neurosci 18, no. 7 (October 2003): 2011–24. https://doi.org/10.1046/j.1460-9568.2003.02908.x.Full Text Link to Item
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Brunel, Nicolas, and Xiao-Jing Wang. “What determines the frequency of fast network oscillations with irregular neural discharges? I. Synaptic dynamics and excitation-inhibition balance.” J Neurophysiol 90, no. 1 (July 2003): 415–30. https://doi.org/10.1152/jn.01095.2002.Full Text Link to Item
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Brunel, Nicolas, Vincent Hakim, and Magnus J. E. Richardson. “Firing-rate resonance in a generalized integrate-and-fire neuron with subthreshold resonance.” Phys Rev E Stat Nonlin Soft Matter Phys 67, no. 5 Pt 1 (May 2003): 051916. https://doi.org/10.1103/PhysRevE.67.051916.Full Text Link to Item
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Richardson, Magnus J. E., Nicolas Brunel, and Vincent Hakim. “From subthreshold to firing-rate resonance.” J Neurophysiol 89, no. 5 (May 2003): 2538–54. https://doi.org/10.1152/jn.00955.2002.Full Text Link to Item
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Brunel, Nicolas, Yves Frégnac, Claude Meunier, and Jean-Pierre Nadal. “Neuroscience and computation.” J Physiol Paris 97, no. 4–6 (2003): 387–90. https://doi.org/10.1016/j.jphysparis.2004.02.001.Full Text Link to Item
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Fourcaud, Nicolas, and Nicolas Brunel. “Dynamics of the firing probability of noisy integrate-and-fire neurons.” Neural Comput 14, no. 9 (September 2002): 2057–2110. https://doi.org/10.1162/089976602320264015.Full Text Link to Item
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Brunel, N., F. S. Chance, N. Fourcaud, and L. F. Abbott. “Effects of synaptic noise and filtering on the frequency response of spiking neurons.” Phys Rev Lett 86, no. 10 (March 5, 2001): 2186–89. https://doi.org/10.1103/PhysRevLett.86.2186.Full Text Link to Item
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Brunel, N., and X. J. Wang. “Effects of neuromodulation in a cortical network model of object working memory dominated by recurrent inhibition.” J Comput Neurosci 11, no. 1 (2001): 63–85. https://doi.org/10.1023/a:1011204814320.Full Text Link to Item
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Brunel, N. “Persistent activity and the single-cell frequency-current curve in a cortical network model.” Network 11, no. 4 (November 2000): 261–80.Link to Item
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Compte, A., N. Brunel, P. S. Goldman-Rakic, and X. J. Wang. “Synaptic mechanisms and network dynamics underlying spatial working memory in a cortical network model.” Cereb Cortex 10, no. 9 (September 2000): 910–23. https://doi.org/10.1093/cercor/10.9.910.Full Text Link to Item
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Brunel, N. “Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons.” J Comput Neurosci 8, no. 3 (2000): 183–208. https://doi.org/10.1023/a:1008925309027.Full Text Link to Item
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Brunel, N., and V. Hakim. “Fast global oscillations in networks of integrate-and-fire neurons with low firing rates.” Neural Comput 11, no. 7 (October 1, 1999): 1621–71. https://doi.org/10.1162/089976699300016179.Full Text Link to Item
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Brunel, N., and S. Sergi. “Firing frequency of leaky intergrate-and-fire neurons with synaptic current dynamics.” J Theor Biol 195, no. 1 (November 7, 1998): 87–95. https://doi.org/10.1006/jtbi.1998.0782.Full Text Link to Item
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Brunel, N., and J. P. Nadal. “Mutual information, Fisher information, and population coding.” Neural Comput 10, no. 7 (October 1, 1998): 1731–57. https://doi.org/10.1162/089976698300017115.Full Text Link to Item
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Nadal, J. P., N. Brunel, and N. Parga. “Nonlinear feedforward networks with stochastic outputs: infomax implies redundancy reduction.” Network 9, no. 2 (May 1998): 207–17.Link to Item
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Brunel, N., F. Carusi, and S. Fusi. “Slow stochastic Hebbian learning of classes of stimuli in a recurrent neural network.” Network 9, no. 1 (February 1998): 123–52.Link to Item
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Brunel, N., and O. Trullier. “Plasticity of directional place fields in a model of rodent CA3.” Hippocampus 8, no. 6 (1998): 651–65. https://doi.org/10.1002/(SICI)1098-1063(1998)8:6<651::AID-HIPO8>3.0.CO;2-L.Full Text Link to Item
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Brunel, N., and J. Ninio. “Time to detect the difference between two images presented side by side.” Brain Res Cogn Brain Res 5, no. 4 (June 1997): 273–82. https://doi.org/10.1016/s0926-6410(97)00003-7.Full Text Link to Item
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Amit, Daniel, and Nicolas Brunel. “Dynamics of a recurrent network of spiking neurons before and following learning.” Network: Computation in Neural Systems 8, no. 4 (January 1, 1997): 373–404. https://doi.org/10.1088/0954-898X_8_4_003.Full Text
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Amit, D. J., and N. Brunel. “Model of global spontaneous activity and local structured activity during delay periods in the cerebral cortex.” Cereb Cortex 7, no. 3 (1997): 237–52. https://doi.org/10.1093/cercor/7.3.237.Full Text Link to Item
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Brunel, N. “Hebbian learning of context in recurrent neural networks.” Neural Comput 8, no. 8 (November 15, 1996): 1677–1710. https://doi.org/10.1162/neco.1996.8.8.1677.Full Text Link to Item
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Brunel, Nicolas, and Riccardo Zecchina. “A SIMPLE GEOMETRICAL BOUND FOR REPLICA SYMMETRY STABILITY IN NEURAL NETWORKS MODELS.” Modern Physics Letters B 09, no. 18 (August 10, 1995): 1159–64. https://doi.org/10.1142/s0217984995001157.Full Text
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Amit, Daniel, and Nicolas Brunel. “Learning internal representations in an attractor neural network with analogue neurons.” Network: Computation in Neural Systems 6, no. 3 (August 1, 1995): 359–88. https://doi.org/10.1088/0954-898x/6/3/004.Full Text
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Brunel, Nicolas. “Storage capacity of neural networks: Effect of the fluctuations of the number of active neurons per memory.” Journal of Physics A: Mathematical and General 27, no. 14 (December 1, 1994): 4783–89. https://doi.org/10.1088/0305-4470/27/14/009.Full Text
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Brunel, Nicolas. “Dynamics of an attractor neural network converting temporal into spatial correlations.” Network: Computation in Neural Systems 5, no. 4 (November 1, 1994): 449–70. https://doi.org/10.1088/0954-898x/5/4/003.Full Text
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Amit, D. J., N. Brunel, and M. V. Tsodyks. “Correlations of cortical Hebbian reverberations: theory versus experiment.” J Neurosci 14, no. 11 Pt 1 (November 1994): 6435–45. https://doi.org/10.1523/JNEUROSCI.14-11-06435.1994.Full Text Link to Item
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Brunel, N., and R. Zecchina. “Response functions improving performance in analog attractor neural networks.” Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 49, no. 3 (March 1994): R1823–26. https://doi.org/10.1103/physreve.49.r1823.Full Text Link to Item
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Brunel, N. “Effect of synapse dilution on the memory retrieval in structured attractor neural networks.” Journal De Physique I 3, no. 8 (August 1993): 1693–1715. https://doi.org/10.1051/jp1:1993210.Full Text
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Amit, D. J., and N. Brunel. “Adequate input for learning in attractor neural networks.” Network: Computation in Neural Systems 4, no. 2 (January 1, 1993): 177–94. https://doi.org/10.1088/0954-898X_4_2_003.Full Text
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Brunel, Nicolas, Jean-Pierre Nadal, and Gerard Toulouse. “Information capacity of a perceptron.” Journal of Physics A: Mathematical and General 25, no. 19 (December 1, 1992): 5017–38. https://doi.org/10.1088/0305-4470/25/19/015.Full Text
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Sanzeni, Alessandro, Agostina Palmigiano, Tuan Huu Nguyen, Junxiang Luo, Jonathan Nassi, John H. Reynolds, Mark H. Histed, Ken D. Miller, and Nicolas Brunel. “Mechanisms Underlying Reshuffling of Visual Responses by Optogenetic Stimulation in Mice and Monkeys,” n.d.Open Access Copy
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Book Sections
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Brunel, Nicolas. “Basic Neuron and Network Models.” In FROM NEURON TO COGNITION VIA COMPUTATIONAL NEUROSCIENCE, 73–99, 2016.Link to Item
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Brunel, Nicolas, and Vincent Hakim. “Population Density Model.” In Encyclopedia of Computational Neuroscience, 2447–65. Springer New York, 2015. https://doi.org/10.1007/978-1-4614-6675-8_74.Full Text
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Brunel, Nicolas, and Vincent Hakim. “Fokker-Planck Equation.” In Encyclopedia of Computational Neuroscience, 1222–26. Springer New York, 2015. https://doi.org/10.1007/978-1-4614-6675-8_60.Full Text
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Brunel, Nicolas, and Vincent Hakim. “Fokker-Planck Equation.” In Encyclopedia of Computational Neuroscience, 1–5. Springer New York, 2014. https://doi.org/10.1007/978-1-4614-7320-6_60-2.Full Text
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Brunel, Nicolas. “Dynamics of neural networks.” In Principles of Neural Coding, 489–512, 2013. https://doi.org/10.1201/b14756.Full Text
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Brunel, Nicolas, and Vincent Hakim. “Fokker-Planck Equation.” In Encyclopedia of Computational Neuroscience, 1–6. Springer New York, 2013. https://doi.org/10.1007/978-1-4614-7320-6_60-1.Full Text
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Brunel, Nicolas, and Vincent Hakim. “Population Density Models.” In Encyclopedia of Computational Neuroscience, 1–24. Springer New York, 2013. https://doi.org/10.1007/978-1-4614-7320-6_74-1.Full Text
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Brunel, Nicolas, and Vincent Hakim. “Neuronal Dynamics.” In Encyclopedia of Complexity and Systems Science, 6099–6116. Springer New York, 2009. https://doi.org/10.1007/978-0-387-30440-3_359.Full Text
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Brunel, Nicolas. “Modeling Point Neurons: From Hodgkin-Huxley to Integrate-and-Fire.” In COMPUTATIONAL MODELING METHODS FOR NEUROSCIENTISTS, 161–85, 2009.Link to Item
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Conference Papers
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Roxin, A., N. Brunel, and D. Hansel. “Rate models with delays and the dynamics of large networks of spiking neurons.” In Progress of Theoretical Physics Supplement, 161:68–85, 2006. https://doi.org/10.1143/PTPS.161.68.Full Text
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Fourcaud-Trocmé, Nicolas, and Nicolas Brunel. “Dynamics of the instantaneous firing rate in response to changes in input statistics.” In J Comput Neurosci, 18:311–21, 2005. https://doi.org/10.1007/s10827-005-0337-8.Full Text Link to Item
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Brunel, N. “Phase diagrams of sparsely connected networks of excitatory and inhibitory spiking neurons.” In Neurocomputing, 32–33:307–12, 2000. https://doi.org/10.1016/S0925-2312(00)00179-X.Full Text
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Brunel, N., and X. J. Wang. “Fast network oscillations with intermittent principal cell firing in a model of a recurrent excitatory-inhibitory circuit.” In European Journal of Neuroscience, 12:79–79. BLACKWELL SCIENCE LTD, 2000.Link to Item
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Brunel, N. “Dynamics of networks of randomly connected excitatory and inhibitory spiking neurons.” In J Physiol Paris, 94:445–63, 2000. https://doi.org/10.1016/s0928-4257(00)01084-6.Full Text Link to Item
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Brunel, N., and J. P. Nadal. “Modeling memory: what do we learn from attractor neural networks?” In C R Acad Sci Iii, 321:249–52, 1998. https://doi.org/10.1016/s0764-4469(97)89830-7.Full Text Link to Item
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Brunel, N. “Cross-correlations in sparsely connected recurrent networks of spiking neurons.” In Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 1327:31–36, 1997. https://doi.org/10.1007/bfb0020128.Full Text
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Brunel, Nicolas, and Jean-Pierre Nadal. “Optimal tuning curves for neurons spiking as a Poisson process.” In Esann, edited by Michel Verleysen. D-Facto public, 1997.
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Ninio, J., and N. Brunel. “Time to detect a single difference between two correlated images.” In Perception, 25:89–89. PION LTD, 1996.Link to Item
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Brunel, N. “Quantitative modeling of local Hebbian reverberations in primate cortex.” In International Journal of Neural Systems, Supplementary Issue, 1995, edited by D. J. Amit, P. delGiudice, B. Denby, E. T. Rolls, and A. Treves, 13–17. WORLD SCIENTIFIC PUBL CO PTE LTD, 1995.Link to Item
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Brunel, N., and D. J. Amit. “Learning internal representations in an analog attractor neural network.” In International Journal of Neural Systems, Supplementary Issue, 1995, edited by D. J. Amit, P. delGiudice, B. Denby, E. T. Rolls, and A. Treves, 19–23. WORLD SCIENTIFIC PUBL CO PTE LTD, 1995.Link to Item
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- Teaching & Mentoring
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Recent Courses
- NEUROBIO 735: Quantitative Approaches in Neurobiology 2023
- NEUROSCI 567: Theoretical Neuroscience 2023
- PHYSICS 493: Research Independent Study 2023
- PHYSICS 567: Theoretical Neuroscience 2023
- NEUROBIO 735: Quantitative Approaches in Neurobiology 2022
- NEUROBIO 793: Research in Neurobiology 2022
- NEUROSCI 567: Theoretical Neuroscience 2022
- PHYSICS 567: Theoretical Neuroscience 2022
- PHYSICS 995: Graduate Training Internship 2022
- NEUROBIO 393: Research Independent Study 2021
- NEUROBIO 735: Quantitative Approaches in Neurobiology 2021
- NEUROBIO 793: Research in Neurobiology 2021
- NEUROSCI 567: Theoretical Neuroscience 2021
- PHYSICS 567: Theoretical Neuroscience 2021
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Advising & Mentoring
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Current PhD students:
- Max Gillett (2014-)
- Alex Vaz (2017-)
- Achint Kumar (2017-)
- Yu Feng (2018-)
- Nicolas Fourcaud-Trocme
- Michael Graupner
- Carlo Baldassi
- Francesca Barbieri
- Erwan Ledoux
- David Higgins
- Alexis Dubreuil
- Ulises Pereira
- Ludovica Bachschmidt-Romano (2018-)
- Stanislav Srednyak (2018-)
- Alessandro Sanzeni (2019-)
- Aghil Abed Zadeh (2019-)
- Alex Roxin
- Ruediger Zillmer
- Kosuke Hamaguchi
- Srdjan Ostojic
- Alberto Mazzoni
- Jian Liu
- Claudia Clopath
- Francesca Barbieri
- Elisa Tartaglia
- Martin Wiechert
- Sukbin Lim
- Maurizio de Pitta
- Yonatan Aljadeff
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Current PhD students:
- Scholarly, Clinical, & Service Activities
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Presentations & Appearances
- Learning to learn workshop, Cosyne. March 3, 2020 - March 3, 2020 2020
- `Physics of Neural Networks' workshop, Simons Center for Geometry and Physics. January 27, 2020 - January 31, 2020 2020
- `The operating regime of neural circuits as a determinant for computations' workshop. November 3, 2019 - November 6, 2019 2019
- Bernstein Conference. September 18, 2019 - September 20, 2019 2019
- Workshop on `Cortical computations via metastable activity', Bernstein Conference. September 17, 2019 - September 18, 2019 2019
- `David Marr 50 years on' symposium. September 11, 2019 - September 11, 2019 2019
- Summerschool in Computational Neuroscience. September 9, 2019 - September 14, 2019 2019
- `New perspectives in cortical dynamics' workshop, CNS. July 16, 2019 - July 17, 2019 2019
- Advanced Methods in Theoretical Neuroscience workshop. July 10, 2019 - July 12, 2019 2019
- ICMNS. June 24, 2019 - June 26, 2019 2019
- `Rough Landscapes, from Physics to Algorithms', KITP. January 7, 2019 - January 11, 2019 2019
- `Recording, analyzing, manipulating, interpreting, and modeling whole brain activity', KITP. September 17, 2018 - September 24, 2018 2018
- `Statistical Physics and Machine Learning back together' summerschool/workshop. August 20, 2018 - August 31, 2018 2018
- `Remembering Daniel Amit, and Beyond' symposium. June 30, 2018 - June 30, 2018 2018
- `From synaptic structure to neuronal circuit dysfunction'. April 19, 2018 - April 19, 2018 2018
- `Neuroplasticity: From synapses to circuits' conference. April 15, 2018 - April 16, 2018 2018
- Complex Systems in Neuroscience Conference. March 8, 2018 - March 10, 2018 2018
- ONR meeting on `Mathematical Data Science'. October 9, 2017 - October 11, 2017 2017
- A*Midex CompNeuro Days. July 12, 2017 - July 13, 2017 2017
- International Conference on Mathematical Neuroscience. May 31, 2017 - June 2, 2017 2017
- Symposium on Mathematics of Memory. March 6, 2017 - March 10, 2017 2017
- School on Mathematics of Memory. January 16, 2017 - January 20, 2017 2017
- Workshop on `Dynamical Systems and Data Analysis in Neuroscience: Bridging the Gap'. October 17, 2016 - October 21, 2016 2016
- CNS 2016. July 2, 2016 - July 7, 2016 2016
- Workshop `Connecting Network Architecture and Network Computation'. December 6, 2015 - December 11, 2015 2015
- Conference on `Statistical Physics Approaches to Networks Across Disciplines'. October 20, 2015 - October 23, 2015 2015
- MBL/University of Chicago Neuroscience Workshop. September 14, 2015 - September 16, 2015 2015
- Oscillations workshop (CNS 2015). July 22, 2015 - July 22, 2015 2015
- Workshop on Stochastic Neural Dynamics (CNS 2015). July 22, 2015 - July 23, 2015 2015
- SIAM Conference on Dynamical Systems, Minisymposium on `Stochastic and Nonlinear Dynamics of Neuronal Networks'. May 19, 2015 - May 19, 2015 2015
- INCF Summerschool on `Information Processing in Neural Systems: From Single Neurons to Large-Scale Models of Cognition'. May 2, 2015 - May 10, 2015 2015
- Austin Conference on Learning and Memory. April 24, 2015 - April 25, 2015 2015
- Havana's winter school on Statistical Physics Approaches to Systems Biology. February 23, 2015 - March 7, 2015 2015
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Service to the Profession
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