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8, we make some concluding remarks about canards and excitability in neural models.
As a consequence, statistics is non-Markovian (for recent examples of non-Markovian behavior in neural models see also [29]).
In neural models, v will typically represent voltage, while in calcium models, v might represent the cytosolic calcium concentration.
This work is particularized to the case of a hyperbolic tangent, the most common function in neural models, showing the excellent results yielded with the proposed approximation.
Note that in neural models this functional relation is automatically given by the quasi-steady-state functions m i = M i (v, n, μ, ε) = m i,∞ v), i = 1,..., j, for the fast gating variables.
Lag synchronization, defined as the state of the drive system is delayed by a positive constant in comparison with that of the response system, is an interesting phenomenon and has been observed in neural models, electronic circuits and lasers [3, 8 11].
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Our target audience is clinicians in psychiatry, neurology, neurosurgery and physiatry (rehabilitation medicine), as well as investigators involved in neural modeling.
In contrast, neural models deal in a higher level of abstraction.
Presently lag synchronization has been observed in lasers, neural models and electronic circuits [22] and applied in secure communication [23].
The debate concerning the presence of classical representations and a language of thought has been clouded by lack of clarity in defining what should count as the representational "vehicles" in distributed neural models.
The temporal character of the input is, generally, not taken into account in the neural models.
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