Mathematical foundations of neuroscience

TL;DR: Simple stochastic accumulator models can reproduce both behavioral and electrophysiological data and offer explanations for human behavior in perceptual decisions and their relation to an optimal strategy for identifying a signal obscured by noise is introduced.

TL;DR: This work links the paroxysmal nature of seizure recurrences in CAE with time-delayed multistable dynamical systems, and shows that all of these microcircuits can generate multistability provided that \(\tau \) is large enough.

TL;DR: The abilities of silica gel and the widely used ion-exchange resin BZ beads to oscillate in a catalyst-free BZ solution are compared and the period of the BZ oscillations increases with an increase in the diameter, while the ability of the ion- Exchange resin beads to hold catalyst molecules significantly decreases with a decrease in pH.

TL;DR: The Morris–Lecar model is a reduced two-variable model of action potential generation, originally formulated by Morris and Lecar (1981) in their study of barnacle muscle electrical activity and later popularized as a reduced model for neuronal excitability.

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.