A spin-glass-like Lyapunov function for a neurotrophic model of neuronal development.

Abstract

We derive a spin-glass-like energy or Lyapunov function for our previously studied neurotrophic model of anatomical synaptic plasticity and neuronal development. This function is then used in Monte-Carlo simulations of the model applied to the development of ocular dominance columns. We discuss the relationship between our model and other models, and speculate on the implications of underlying spin glass structures in many models of neuronal development, learning and plasticity.