The interdisciplinary field of Neuroscience does not have a consensus citation style. When writing for a course assignment, consult your professor for guidance on selecting a style.
Professional neuroscientists are typically required to adopt the citation style used by the journal publishing their research article. Descriptions for formatting both in-text and bibliography citations are typically given on an "Instructions for Authors" page on the journal publisher's website. For example, you can find the Instructions for Author's page for the journal Neuron here.
The Neuron citation style can be produced using the Zotero citation management application.
In the absence of a required citation style, might consider using one of the widely used citation styles (i.e. Chicago, APA, MLA) described in detail on the Bates Library "Citing Sources" guide.