  We propose a neural network model of multi-neuron interacting system that
simulates neurons to interact each other through the surroundings of neuronal
cell bodies. We physically model the neuronal cell surroundings, include the
dendrites, the axons and the synapses as well as the surrounding glial cells,
as a collection of all kinds of oscillating modes arisen from the electric
circuital environment of neuronal action potentials. By analyzing the dynamics
of this neural model through the master equation approach of open quantum
systems, we investigate the collective behavior of neurons. After applying
stimulations to the neural network, the neuronal collective state is activated
and shows the action potential behavior. We find that this model can generate
random neuron-neuron interactions and is proper to describe the process of
information transmission in the nervous system physically, which may pave a
potential route toward understanding the dynamics of nervous system.
