# Nicolas Brunel

## Professor of Neurobiology

### Overview

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.

Mongillo, Gianluigi, et al. “Retrospective and prospective persistent activity induced by Hebbian learning in a recurrent cortical network..” *Eur J Neurosci*, vol. 18, no. 7, Oct. 2003, pp. 2011–24. *Pubmed*, doi:10.1046/j.1460-9568.2003.02908.x.
Full Text

Brunel, Nicolas, and Peter E. Latham. “Firing rate of the noisy quadratic integrate-and-fire neuron..” *Neural Comput*, vol. 15, no. 10, Oct. 2003, pp. 2281–306. *Pubmed*, doi:10.1162/089976603322362365.
Full Text

Brunel, Nicolas, et al. “Neuroscience and computation..” *J Physiol Paris*, vol. 97, no. 4–6, July 2003, pp. 387–90. *Pubmed*, doi:10.1016/j.jphysparis.2004.02.001.
Full Text

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*, vol. 90, no. 1, July 2003, pp. 415–30. *Pubmed*, doi:10.1152/jn.01095.2002.
Full Text

Brunel, Nicolas, et al. “Firing-rate resonance in a generalized integrate-and-fire neuron with subthreshold resonance..” *Phys Rev E Stat Nonlin Soft Matter Phys*, vol. 67, no. 5 Pt 1, May 2003. *Pubmed*, doi:10.1103/PhysRevE.67.051916.
Full Text

Richardson, Magnus J. E., et al. “From subthreshold to firing-rate resonance..” *J Neurophysiol*, vol. 89, no. 5, May 2003, pp. 2538–54. *Pubmed*, doi:10.1152/jn.00955.2002.
Full Text

Fourcaud, Nicolas, and Nicolas Brunel. “Dynamics of the firing probability of noisy integrate-and-fire neurons..” *Neural Comput*, vol. 14, no. 9, Sept. 2002, pp. 2057–110. *Pubmed*, doi:10.1162/089976602320264015.
Full Text

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*, vol. 11, no. 1, July 2001, pp. 63–85. *Pubmed*, doi:10.1023/a:1011204814320.
Full Text

Brunel, N., et al. “Effects of synaptic noise and filtering on the frequency response of spiking neurons..” *Phys Rev Lett*, vol. 86, no. 10, Mar. 2001, pp. 2186–89. *Pubmed*, doi:10.1103/PhysRevLett.86.2186.
Full Text

Brunel, N. “Persistent activity and the single-cell frequency-current curve in a cortical network model..” *Network*, vol. 11, no. 4, Nov. 2000, pp. 261–80.