Mathematical Foundations of Neuroscience

This book is motivated by a perceived need for an overview of how dynamical systems and computational analysis have been used in understanding the types of models that come out of neuroscience.

The book arose out of several courses that the authors have taught including a graduate course in computational neuroscience with students from psychology, mathematics, computer science, physics and neuroscience backgrounds.

The book begins with bio-physics of the cell membrane and from this introduces compartmental models, continuum limits and cable theory and active ion channels. Prior to the work on active channels, all equations are linear and in theory completely solvable in closed form.

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