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- Javier Baladron, Diego Fasoli, Olivier Faugeras, Jonathan Touboul
- Journal of mathematical neuroscience
- 2012

We derive the mean-field equations arising as the limit of a network of interacting spiking neurons, as the number of neurons goes to infinity. The neurons belong to a fixed number of populations and are represented either by the Hodgkin-Huxley model or by one of its simplified version, the FitzHugh-Nagumo model. The synapses between neurons are eitherâ€¦ (More)

- Javier Baladron, Fred Henrik Hamker
- Neural Networks
- 2015

We introduce a spiking neural network of the basal ganglia capable of learning stimulus-action associations. We model learning in the three major basal ganglia pathways, direct, indirect and hyperdirect, by spike time dependent learning and considering the amount of dopamine available (reward). Moreover, we allow to learn a cortico-thalamic pathway thatâ€¦ (More)

We derive the mean-field equations arising as the limit of a network of interacting spiking neurons, as the number of neurons goes to infinity. The neurons belong to a fixed number of populations and are represented either by the HodgkinHuxley model or by one of its simplified version, the Fitzhugh-Nagumo model. The synapses between neurons are eitherâ€¦ (More)

- Javier Baladron, Diego Fasoli, Olivier D. Faugeras
- Computing in Science & Engineering
- 2012

Three scenarios outlined here show the benefits of using a computer system with multiple GPUs in theoretical neuroscience. In each instance, it's clear that the GPU speedup considerably helps answer a scientific or technological question.

- James Rankin, Daniele Avitabile, Javier Baladron, GrÃ©gory Faye, David J. B. Lloyd
- SIAM J. Scientific Computing
- 2014

We study localised activity patterns in neural field equations posed on the Euclidean plane; such models are commonly used to describe the coarse-grained activity of large ensembles of cortical neurons in a spatially continuous way. We employ matrix-free Newton-Krylov solvers and perform numerical continuation of localised patterns directly on the integralâ€¦ (More)

- Javier Baladron
- 2013

- Francesc Villagrasa, Javier Baladron, Fred Henrik Hamker
- ICANN
- 2016

- Javier Baladron, Atsushi Nambu, Fred Henrik Hamker
- The European journal of neuroscience
- 2017

Theories and models of the basal ganglia have mainly focused on the role of three different corticothalamic pathways: direct, indirect and hyperdirect. Although the indirect and the hyperdirect pathways are linked through the bidirectional connections between the subthalamic nucleus (STN) and the external globus pallidus (GPe), the role of theirâ€¦ (More)

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