Interpretation of high level cognitive behavior of human brain requires comprehensive understanding of spike transfer process at neuronal level. Synapses play major role in spike transfer process from one neuron to another. An expanded leaky integrate and fire model of a neuron in multiple input and single output configuration with threshold variability for spike transfer process is proposed in this paper. Asynchronous generation of post synaptic potential is considered. Multiple types of excitatory and inhibitory post-synaptic potentials are also included in the model. An analytical expression of membrane potential including threshold variability and activity dependant noise process has been developed. The model captures several important features of a spiking neuron through a set of well defined parameters. Simulation results are provided to explain various aspects of the proposed model. A functionally scaled version of the model has also been compared with limited experimental data, available from the Allen Institute of Brain Science.

中文翻译：

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具有异步EPSP，IPSP和可变阈值的皮质神经元中穗传输过程的离散时间框架。

解释人脑的高水平认知行为需要对神经元水平的峰转移过程有全面的了解。突触在从一个神经元到另一个神经元的峰转移过程中起主要作用。提出了一种具有阈值可变性的尖峰传递过程的多输入单输出配置的扩展神经元泄漏积分和发射模型。考虑到突触后电位的异步产生。该模型还包括多种类型的兴奋性和抑制性突触后电位。已开发出膜电位的分析表达式，包括阈值变异性和与活动有关的噪声过程。该模型通过一组定义明确的参数捕获了尖峰神经元的几个重要特征。提供仿真结果以说明所提出模型的各个方面。该模型的功能缩放版本也已与可从艾伦脑科学研究所获得的有限实验数据进行了比较。