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Updated: Jun 19, 2026

Preparation of Neuronal Co-cultures with Single Cell Precision
Published on: May 20, 2014
A "cellular neuronal" approach to optimization problems
1National Center for Atmospheric Research, Boulder, Colorado 80307, USA. gregory.duane@colorado.edu
Abstract:
The Hopfield-Tank [J. J. Hopfield and D. W. Tank, Biol. Cybern. 52, 141 (1985)] recurrent neural network architecture for the traveling salesman problem is generalized to a fully interconnected "cellular" neural network of regular oscillators. Tours are defined by synchronization patterns, allowing the simultaneous representation of all cyclic permutations of a given tour. The network converges to local optima some of which correspond to shortest-distance tours, as can be shown analytically in a stationary phase approximation. Simulated annealing is required for global optimization, but the stochastic element might be replaced by chaotic intermittency in a further generalization of the architecture to a network of chaotic oscillators.
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