On Energy Principle of Coupled Neurons Activities
关于耦合神经元活动时的能量原理

Experimental data from neuroscientists at Yale University recently proved that signal transmission in the mammalian cerebral cortex is an expensive process that has energetic demand tightly coupled to the information encoding by the neuronal ensemble. As yet, however, energy function on neuronal activity is not given quantitatively. In this paper, Hamiltonian energetic function is employed to research neural activity and mechanism of neural information processing, and motion equation of neural activity described by means of energy function is established on the basis of experimental data of electrophysiology. Here we show that Hamiltonian energetic function can be employed to express electronic activity of couple neurons at sub-threshold value and action potential of couple neurons at supra-threshold stimulation. The exact solutions of the motion equation agree with action potential described by means of Hodgkin-Huxley equation. Hence, the motion equations unify and extend both mathematical and neurobiological perspectives. Accordingly, it is possible to indicate a new road on the basis of brain information processing for comprehending role of information encoding of neural-network system of brain.