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Document Type

Book Chapter

Department/Program

Applied Science

Publication Date

4-2019

Book Title

Cellular Biophysics and Modeling: A Primer on the Computational Biology of Excitable Cells

Publisher

Cambridge University Press

First Page

185

Last Page

198

DOI

https://doi.org/10.1017/9780511793905

Abstract

What every neuroscientist should know about the mathematical modeling of excitable cells. Combining empirical physiology and nonlinear dynamics, this text provides an introduction to the simulation and modeling of dynamic phenomena in cell biology and neuroscience. It introduces mathematical modeling techniques alongside cellular electrophysiology. Topics include membrane transport and diffusion, the biophysics of excitable membranes, the gating of voltage and ligand-gated ion channels, intracellular calcium signalling, and electrical bursting in neurons and other excitable cell types. It introduces mathematical modeling techniques such as ordinary differential equations, phase plane, and bifurcation analysis of single-compartment neuron models. With analytical and computational problem sets, this book is suitable for life sciences majors, in biology to neuroscience, with one year of calculus, as well as graduate students looking for a primer on membrane excitability and calcium signalling.

ISBN

9780521183055

Publication Statement

According to Cambridge University Press' Green OA policy: "The author wishes to reproduce a book chapter or journal article on their personal website or other website in accordance with our Green Open Access and social sharing policies... One chapter of the Version of Record can be archived to a department or institutional repository six months after publication." This chapter of "Cellular Biophysics and Modeling" by Gregory D. Conradi Smith was added to W&M Scholarworks at the request of the author.

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