Abstract
With the growing role and application of mathematics in almost every field it is no doubt that it plays an experimental and crucial role in an advancing field of neuroscience which is still under constant research. The aim of the report is two fundamental points: to show how mathematical models that enlighten a few pieces of neuroscience can be built, principally by depicting both "exemplary" and recent models; what's more, to make sense of mathematical techniques by which these models can be investigated, in this way yielding pre-expressions and clarifications that can be applied as a powerful influence for experimental information. To show how somewhat straightforward mathematical models and their investigations can help comprehension of certain areas and activity of brain and central nervous systems. In computational neuroscience a model is recorded which is an estimate of the connection between a bunch of information; however, there is no formal intelligent way to "demonstrate" the model right or wrong. So mathematical recreations are done. The role of mathematics in neuroscience has been elaborated and discussed.
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