Mathematical neuroscience: from neurons to circuits to systems

@article{Gutkin2003MathematicalNF,
  title={Mathematical neuroscience: from neurons to circuits to systems},
  author={B. Gutkin and D. Pinto and B. Ermentrout},
  journal={Journal of Physiology-Paris},
  year={2003},
  volume={97},
  pages={209-219}
}
  • B. Gutkin, D. Pinto, B. Ermentrout
  • Published 2003
  • Computer Science, Medicine
  • Journal of Physiology-Paris
  • Applications of mathematics and computational techniques to our understanding of neuronal systems are provided. [...] Key Method Spatio-temporal pattern formation methods are applied to explain the patterns seen in the early stages of drug-induced visual hallucinations.Expand Abstract
    53 Citations

    Figures and Topics from this paper.

    Explore Further: Topics Discussed in This Paper

    A unified mathematical model of neuronal population networks
    Reproducing the Firing Properties of a Cerebellum Deep Cerebellar Nucleus with a Multi-Compartmental Morphologically Realistic Biophysical Model
    Synchronization of biological neural network systems with stochastic perturbations and time delays
    • 5
    • PDF
    A stochastic mean field model for an excitatory and inhibitory synaptic drive cortical neuronal network
    • 9
    • Highly Influenced
    A stochastic mean field model for an excitatory and inhibitory synaptic drive cortical neuronal network
    • 6
    • PDF
    Spiking Neural Networks
    • 432
    • PDF
    Dopamine and gamma band synchrony in schizophrenia – insights from computational and empirical studies
    • 31
    • PDF
    Neurodynamics of consciousness
    • 25
    • PDF

    References

    SHOWING 1-10 OF 40 REFERENCES
    Reliability of spike timing in neocortical neurons.
    • 1,201
    • PDF
    A quantitative population model of whisker barrels: Re-examining the Wilson-Cowan equations
    • 114
    • PDF
    Thalamocortical response transformations in simulated whisker barrels
    • H. Kyriazi, D. Simons
    • Biology, Medicine
    • The Journal of neuroscience : the official journal of the Society for Neuroscience
    • 1993
    • 93
    • PDF
    Neural networks as spatio-temporal pattern-forming systems
    • 571
    • PDF
    Spike Generating Dynamics and the Conditions for Spike-Time Precision in Cortical Neurons
    • 60
    • PDF
    Circuit dynamics and coding strategies in rodent somatosensory cortex.
    • 238
    • PDF