Phase Transitions Caused by Threshold in Random Neural Network and Its Medical Applications

摘要

In this paper, we detect threshold-driven phase transitions in the homogeneous random neural network. When the neurons are arranged as one dimension, the critical threshold is two, while in two dimensions counterpart, the critical threshold is four. We declare that random neural network is a specific case of Abstract neural automata. So we conclude that phase transitions in the random neural network can produce thought in human brain. We successfully apply the network to interpret the relation between diseases and syndrome in Traditional Chinese Medicine.