生物神经网络计算机仿真中数学建模与信号处理

由神经元通过突触联结而组成的生物神经网络可以处理信息和产生特定的电特性,认知神经网络信息的产生和传递机理,对生物医学具有重要意义.由于神经网络内部复杂的非线性反馈,从微观的生理结构进行各种可能的实验十分困难.通过分析神经网络的生理和生化结构,将信息学与生物医学相结合,利用计算机仿真可以系统地分析神经网络的内部结构和外部属性.为此,设计和实现了生物神经网络的计算机仿真系统,该仿真系统涉及生物神经网络的等效电路、数学建模、数据表达、信号处理和并行运算等,其已在许多科研机构和高等院校得到应用,本文主要阐述其数学建模和信号处理.

Mathematical Modeling and Signal Processing in Computer Simulation for Biological Neural Networks

A biological neural network composed of a great amount of neurons interconnected by synapses has the ability to process information and generate a specific pattern of electrical activity.It is significant to the biology to cognize the mechanism for generating and transmitting its information.As there exists complicated nonlinear feedback inside it,it is very difficult to do experiment on it from its microstructure.Through analyzing its biophysical and biochemical structure and integrating information science into biology,its interior structure and exterior properties can be understood by use of the computer simulation.Therefore,this computer simulation system was designed and realized.It deals with the equivalent circuit,mathematical modeling,data representation,signal processing,and parallel computation,etc.It has got practical applications in lots of institutes and universities.In this paper only the mathematical modeling and signal processing were described.