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Camperi and Wang (Comput Neurosci 5:383-405, 1998) presented a network model for working memory that combines intrinsic cellular bistability with the recurrent network architecture of the neocortex. While Fall and Rinzel (Comput Neurosci 20:97-107, 2006) replaced this intrinsic bistability with a biological mechanism-Ca(2+) release subsystem. In this study,… (More)
Let R<sub>0,n</sub>, be the real Clifford algebra generated by vectors e<sub>i</sub>, i = 1, 2, ⋯, n, where e<sub>i</sub><sup>2</sup> = -1 and e<sub>i</sub>e<sub>j</sub> + e<sub>j</sub>e<sub>i</sub> = 0 if i ≠ j, i, j = 1, 2, ⋯, n. e<sub>0</sub> is the unit element. In this paper, the Hilbert boundary value problem in the unit ball is… (More)
Let R_0, n be the real Clifford algebra generated by e_1, e_2, cdots, e_n satisfying e_ie_j+e_je_i=-2 delta_ij for i, j=1, 2, cdots, n. e_0 is the unit element. In this paper, we first give the kernel function for the generalized analytic function. Further, a kind of Hilbert Boundary Value Problem for generalized analytic functions in R^n+1_+ will be… (More)
In this paper, we firstly give the fundamental solution for Beltrami equation. Secondly, based on symmetric extension, we investigate the solution of a Hilbert Boundary Value Problem (BVP, for short) for Beltrami equation by converting it to corresponding Riemann BVP and obtain the explicit representation of solutions.
In this study, our work is on the basis of Liang et al. (Cogn Neurodyn 4(4):359–366, 2010). Since the basal ganglia (BG) and dopamine (DA) are confirmed to play an important role in protecting memories against noise and distraction stimulus, we add the BG in our present model and remove the plausible Ca2+ subsystem. We found that our network model… (More)