Mathematical foundations of neuroscience
G. Bard Ermentrout,David Terman +1 more
- 01 Jan 2010
- Vol. 35
TL;DR: The Hodgkin-Huxley Equations are applied to the model of Neuronal Networks to describe the “spatially distributed” networks.
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Abstract: The Hodgkin-Huxley Equations.- Dendrites.- Dynamics.- The Variety of Channels.- Bursting Oscillations.- Propagating Action Potentials.- Synaptic Channels.- Neural Oscillators: Weak Coupling.- Neuronal Networks: Fast/Slow Analysis.- Noise.- Firing Rate Models.- Spatially Distributed Networks.
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References
Semigroups and Ordered Categories. I. The Reduced Case
TL;DR: In this article, the authors investigated the relationship between certain classes of ordered small categories, introduced by Charles Ehresmann in the course of his work on local structures, and the class of U -semiabundant semigroups, first studied by El-Qallali and by de Barros.
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Expansions, free inverse semigroups, and Schützenberger product
Stuart W. Margolis,J.E Pin +1 more
TL;DR: In this article, the authors present a new construction of the free inverse monoid on a set X. Contrary to previous constructions of [9, 11], their construction is symmetric and originates from classical ideas of language theory.
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