Hybrid systems neuroscience

Eva Navarro Lopez, U. Celikok, N. Sengor, A. El Hady (Editor)

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    Abstract

    We define the field of hybrid systems neuroscience as the reformulation of hybrid system models, analysis tools and control schemes for neuronal systems. The field of hybrid systems has been built upon the theories of control and computer science. It has inherited control paradigms – including switching control systems and variable structure systems – originally designed for engineering problems, mainly in the areas of mechanical and electrical systems. The automated verification of hybrid systems has inherited computational paradigms originally designed for software systems or programs. The mixture has facilitated solutions to complex dynamical problems. However, the application of these paradigms to neuroscience cannot follow the orthodoxy of control and computational theories, and a new viewpoint isneeded to model and analyse the complex and unique behaviours of brain networks. Under the hybrid systems neuroscience framework, we propose new concepts like switching dominance, self-organising neuronal interdependent control (SONIC) or driver control neurons, and a new interpretation of hybrid automata. We illustrate these ideas in a novel working memory network model, which unifies the influence of dopamine, basal ganglia-thalamo-cortical circuits and the generation of subcortical background oscillations.
    Original languageEnglish
    Title of host publicationClosed Loop Neuroscience
    Place of PublicationLondon
    PublisherAcademic Press, Ltd
    Pages113-129
    Number of pages17
    ISBN (Print)0128026413, 9780128026410
    DOIs
    Publication statusPublished - 1 Jun 2016

    Keywords

    • Hybrid systems
    • Computational/mathematical neuroscience
    • Control theory
    • Switching behaviour
    • Hybrid automata
    • Working memory
    • Basal ganglia
    • Subcortical background oscillations
    • Spiking neurons

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