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ABSTRACT: With the development of the brain research, a new cross subject-neural system dynamics has come into being. It is based on the brain's mathematical models. In this paper, we introduce a series of neuron mathematical models which are representative and widely useful. Then we discuss them in details and in expectation of the development in these models. At last, connecting them with the complex network research, we propose some valuable research directions.Sheng wu yi xue gong cheng xue za zhi = Journal of biomedical engineering = Shengwu yixue gongchengxue zazhi 01/2008; 24(6):1406-10.