Gutkin Boris, Pinto David, Ermentrout Bard
Division of Biology and Medicine, Department of Neuroscience, Brown University, Providence, RI, USA.
J Physiol Paris. 2003 Mar-May;97(2-3):209-19. doi: 10.1016/j.jphysparis.2003.09.005.
Applications of mathematics and computational techniques to our understanding of neuronal systems are provided. Reduction of membrane models to simplified canonical models demonstrates how neuronal spike-time statistics follow from simple properties of neurons. Averaging over space allows one to derive a simple model for the whisker barrel circuit and use this to explain and suggest several experiments. Spatio-temporal pattern formation methods are applied to explain the patterns seen in the early stages of drug-induced visual hallucinations.
介绍了数学和计算技术在我们对神经元系统理解中的应用。将膜模型简化为简化的规范模型展示了神经元放电时间统计如何源于神经元的简单特性。对空间进行平均可以推导出一个用于触须桶状回路的简单模型，并以此来解释和提出几个实验。应用时空模式形成方法来解释药物诱发视觉幻觉早期阶段所观察到的模式。
