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14 result(s) within Volume 2 of The Journal of Mathematical Neuroscience

Page 1 of 1

  1. We analytically investigate the stability of splay states in the networks of N globally pulse-coupled phase-like models of neurons. We develop a perturbative technique which allows determining the Floquet exponen...

    Authors: Simona Olmi, Antonio Politi and Alessandro Torcini

    Citation: The Journal of Mathematical Neuroscience 2012 2:12

    Content type: Research

    Published on:

  2. Neurons are characterised by a morphological structure unique amongst biological cells, the core of which is the dendritic tree. The vast number of dendritic geometries, combined with heterogeneous properties ...

    Authors: Quentin Caudron, Simon R Donnelly, Samuel PC Brand and Yulia Timofeeva

    Citation: The Journal of Mathematical Neuroscience 2012 2:11

    Content type: Research

    Published on:

  3. 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 repre...

    Authors: Javier Baladron, Diego Fasoli, Olivier Faugeras and Jonathan Touboul

    Citation: The Journal of Mathematical Neuroscience 2012 2:10

    Content type: Research

    Published on:

  4. Neural field models describe the coarse-grained activity of populations of interacting neurons. Because of the laminar structure of real cortical tissue they are often studied in two spatial dimensions, where ...

    Authors: Stephen Coombes, Helmut Schmidt and Ingo Bojak

    Citation: The Journal of Mathematical Neuroscience 2012 2:9

    Content type: Research

    Published on:

  5. A lumped model of neural activity in neocortex is studied to identify regions of multi-stability of both steady states and periodic solutions. Presence of both steady states and periodic solutions is considere...

    Authors: Sid Visser, Hil GE Meijer, Michel JAM van Putten and Stephan A van Gils

    Citation: The Journal of Mathematical Neuroscience 2012 2:8

    Content type: Research

    Published on:

  6. In this paper, we analyze the invasion and extinction of activity in heterogeneous neural fields. We first consider the effects of spatial heterogeneities on the propagation of an invasive activity front. In c...

    Authors: Paul C Bressloff

    Citation: The Journal of Mathematical Neuroscience 2012 2:6

    Content type: Research

    Published on:

  7. We consider a coupled, heterogeneous population of relaxation oscillators used to model rhythmic oscillations in the pre-Bötzinger complex. By choosing specific values of the parameter used to describe the het...

    Authors: Carlo R Laing, Yu Zou, Ben Smith and Ioannis G Kevrekidis

    Citation: The Journal of Mathematical Neuroscience 2012 2:5

    Content type: Research

    Published on:

  8. Rapid action potential generation - spiking - and alternating intervals of spiking and quiescence - bursting - are two dynamic patterns commonly observed in neuronal activity. In computational models of neuron...

    Authors: John Burke, Mathieu Desroches, Anna M Barry, Tasso J Kaper and Mark A Kramer

    Citation: The Journal of Mathematical Neuroscience 2012 2:3

    Content type: Research

    Published on:

  9. We study synaptic plasticity in a complex neuronal cell model where NMDA-spikes can arise in certain dendritic zones. In the context of reinforcement learning, two kinds of plasticity rules are derived, zone r...

    Authors: Mathieu Schiess, Robert Urbanczik and Walter Senn

    Citation: The Journal of Mathematical Neuroscience 2012 2:2

    Content type: Research

    Published on:

  10. We describe a phenomenological model of seizure initiation, consisting of a bistable switch between stable fixed point and stable limit-cycle attractors. We determine a quasi-analytic formula for the exit time...

    Authors: Oscar Benjamin, Thomas HB Fitzgerald, Peter Ashwin, Krasimira Tsaneva-Atanasova, Fahmida Chowdhury, Mark P Richardson and John R Terry

    Citation: The Journal of Mathematical Neuroscience 2012 2:1

    Content type: Research

    Published on:

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