Dynamics Associated to Preferred Firing Sequences
Fig. 1 Outline of the general procedure for pattern detection. (a) Three cells, labeled A, B, and C, participate to a patterned activity. Three occurrences of two precise patterns are…
in Two-Coupled Cells Network in the Pre-Bötzinger Complex
(1) (2) (3) (4)where i, j = 1, 2 and i ≠ j. C represents the whole cell capacitance. I Na ,I K and I L are a fast Na +, delayed-rectifier K +,…
of Up and Down Transitions in a Network Model
The ionic currents are as follows: The current between neurons is: 3 Results 3.1 Bistability When we study on the single neuron model, we found that transitions between up and…
Multichannel Communication Using Chaos in a Recurrent Neural Network
where x i (t) = ±1(i =1 ∼ N) is the firing state of a neuron specified by index i at time t, w ij is connection weight from the neuron x j to…
Produces Well Behaved Oscillations and Synchrony
where V is the membrane potential, with Vr and Vt being the resting and threshold values respectively. C is the capacitance of the cell membrane. τ is the membrane time…
Modulation of Synchrony in Primates’ Medial Motor Areas
Fig. 1 (a) Experimental setup (b) Task sequence (c) Schematic drawing of medial motor areas (top view) After each animal became proficient in performing this behavioral task, an acrylic recording…
Interactions of Two Individual Arm Robots Using Independent Chaos in Recurrent Neural Networks
Fig. 1 Our arm model in Euler angle scheme Fig. 2 Firing pattern of 400 neurons & sub-vectors’ codings which correspond to incremental motions via Euler angles 2 Method and…
Cortical Singularities During the Cognitive Cycle Using Random Graph Theory
Fig. 1 Phase lag values (vertical axis) in the neuropercolation model with excitatory-inhibitory layers; x-axis: time steps; y-axis: spatial steps (channels from 1 to 256). (a) Noise level 13 (subcritical): high…
Field Dynamics and the Development of the Cerebral Cortex
Fig. 1 Left: idealized diagram of organization in V1 of OP, 0–180°, about singularities, and with marginal continuity, within an hexagonal framework composed of superficial patch connections. Right: experimental data…
the Genesis of Components in the Networks of Interacting Units
(1) One may view the transition probability as a function of a state variable x and its time derivative x’, that is, (2)The dynamical systems law is written by (3)Then,…
