- Structured chaos shapes spike-response noise entropy in balanced neural networks, Guillaume Lajoie, Jean-Philippe Thivierge and Eric Shea-Brown, Frontiers in Computational Neuroscience, 2014, 8:123. Available here.
- On driven neural assemblies: synchrony, chaos and entropy., Guillaume Lajoie, Ph.D. Dissertation, Dept. of Applied Mathematics, University of Washington, November 2013. Available here.
- Chaos and reliability in balanced spiking networks with temporal drive, Guillaume Lajoie, Kevin K. Lin and Eric Shea-Brown, Phys. Rev. E, Vol. 8, No. 5, pp. 052901, 2013. Also available on the arXiv as a preprint.
- Shared inputs, entrainment, and desynchrony in elliptic bursters: from slow passage to discontinuous circle maps, Guillaume Lajoie and Eric Shea-Brown, SIADS, Vol. 10, No. 4, pp. 1232–1271, 2011. Also available on the arXiv as a preprint.
- Wave blocking phenomenon: a dynamical systems approach, Guillaume Lajoie, Masters thesis, Dept. of Mathematics, University of Ottawa, June 2007
Work in progress
- Single cell spiking mechanisms influence chaos-driven stochasticity in large balanced nets, Guillaume Lajoie, Kevin Lin and Eric Shea-Brown, to be submitted 2014.
- Induced desynchrony in a network of bursting cells, Megan Lacy, Guillaume Lajoie and Eric Shea-Brown, to be submitted 2014
- Chaos and reliability in fluctuation-driven, balanced spiking networks, Interdisciplinary Conference in Applied Mathematics, Modeling, and Computational Science (AMMCS-2013), Waterloo, Ontario, Canada, Aug. 2013
- Chaos and reliability in fluctuation-driven, balanced spiking networks, IMACS international conference on nonlinear evolution equations and wave phenomena: computation and theory, UGA, Athens, GA, March 2013
- Structured chaos and spike responses in stimulus-driven networks, Computational and Systems Neuroscience 13 (COSYNE), Saly-Lake City, UT, Feb. 2013
- Reliability of Spike Times in Sparsely Connected Networks, SIAM Life Sciences 12, San Diego, CA, Aug. 2012.
- Spike time reliability of temporally driven neural networks in balanced regimes, Frontiers in Applied and Computational Mathematics, Newark, NJ, May 2012.
- Synchrony control in a population of bursting neurons using a common input, Control Symposium, University of Washington, Seattle, Sept. 2011.
- Desynchronizing a neural population with shared input, 2nd Northwest Computational Neuroscience Connection, University of Washington, Seattle, Oct. 2010.
- Dynamics of commonly driven elliptic bursters, SIAM Life Sciences conference, Pittsburgh, Jul. 2010. (Part of a symposium on coherent behavior in neural networks and popu- lations)
- From slow/fast bursting to discontinuous circle maps, Dynamical systems seminar, Instituto de mathematica pura e applicada (IMPA), Rio de Janeiro, Brazil, Jan. 2010.
- Wave Blocking Phenomena for Traveling Waves, Joint AARMS CRM Workshop on Recent Advances in Functional and Delay Differential Equations, Dalhousie University, Halifax, Canada, Nov. 2007.
Selected Research Posters
- Structured chaos shapes neuronal spike-response noise entropy of driven balanced networks, COSYNE 14, Saly-Lake City, Utah, Feb. 2014
- Chaos and reliability in fluctuation-driven, balanced spiking networks, SIAM Applied Dynamical Systems Conference, Snowbird resort, Utah, May 2013
- Synchrony control in a population of bursting neurons using a common input a mathematical study, Workshop on Mathematical Modeling of Neurological Disease from Cellular Perspectives, Fields Institute, Toronto, Canada, May 2012.
- Reliable and Unreliable spike times in sparsely connected networks, COSYNE 12, Salt-Lake City, Utah, Feb. 2012.
- Reliability in small networks of excitable cells, 3rd Northwest Computational Neuroscience Connection, University of Washington, Seattle, Sept. 2011.
- Reliability in small networks of excitable cells, Workshop for Young Researchers in Mathematical Biology, Mathematical Bioscience
Institute (MBI), Columbus, OH, Aug. 2011.
- Reliability in small networks of excitable cells, International Congress on Industrial and Applied Mathematics (ICIAM), Vancouver, Canada, Jul. 2011.
- Computational neuroscience: what is this?, University of Washington, Seattle, Aug. 2011. - Presented to incoming UW freshmen from the Bridge undergraduate program
- Computational neuroscience: an introduction, University of Washington, Seattle, Nov.2009. – Presented to the members of the Control Theory Group of the University of Washington