TY - BOOK AU - Tuckwell,Henry C. TI - Introduction to theoretical neurobiology T2 - Cambridge studies in mathematical biology SN - 9780511623271 (ebook) AV - QP361 .T76 1988 U1 - 599/.0188 19 PY - 1988/// CY - Cambridge PB - Cambridge University Press KW - Neurons KW - Mathematical models KW - Neural transmission N1 - Title from publisher's bibliographic system (viewed on 05 Oct 2015) N2 - The human brain contains billions of nerve cells whose activity plays a critical role in the way we behave, feel, perceive, and think. This two-volume set explains the basic properties of a neuron - an electrically active nerve cell - and develops mathematical theories for the way neurons respond to the various stimuli they receive. Volume 1 contains descriptions and analyses of the principal mathematical models that have been developed for neurons in the past thirty years. It provides a brief review of the basic neuroanatomical and neurophysiological facts that will form the focus of the mathematical treatment. Tuckwell discusses the mathematical theories, beginning with the theory of membrane potentials. He then goes on to treat the Lapicque model, linear cable theory, and time-dependent solutions of the cable equations. He concludes with a description of Rall's model nerve cell. Because the level of mathematics increases steadily upward from Chapter Two, some familiarity with differential equations and linear algebra is desirable UR - https://doi.org/10.1017/CBO9780511623271 ER -