Modeling in the Neurosciences: From Biological Systems to Neuromimetic Robotics

by Reeke; G. N.

• ISBN13: 9780415328685
• ISBN10: 0415328683
• Edition: 2nd
• Format: Hardcover
• Copyright: 2005-03-29
• Publisher: CRC Press

Summary

Computational models of neural networks have proven insufficient to accurately model brain function, mainly as a result of simplifications that ignore the physical reality of neuronal structure in favor of mathematically tractable algorithms and rules. Even the more biologically based "integrate and fire" and "compartmental" styles of modeling suffer from oversimplification in the former case and excessive discretization in the second. This book introduces an integrative approach to modeling neurons and neuronal circuits that retains the integrity of the biological units at all hierarchical levels.With contributions from more than 40 renowned experts, Modeling in the Neurosciences, Second Edition is essential for those interested in constructing more structured and integrative models with greater biological insight. Focusing on new mathematical and computer models, techniques, and methods, this book represents a cohesive and comprehensive treatment of various aspects of the neurosciences from the molecular to the network level. Many state-of-the-art examples illustrate how mathematical and computer modeling can contribute to the understanding of mechanisms and systems in the neurosciences. Each chapter also includes suggestions of possible refinements for future modeling in this rapidly changing and expanding field.This book will benefit and inspire the advanced modeler, and will give the beginner sufficient confidence to model a wide selection of neuronal systems at the molecular, cellular, and network levels.

Table of Contents

Preface to the Second Edition	vii
Contributors	ix
Foreword	xiii
About the Editors	xv
Introduction to Modeling in the Neurosciences	1	(8)
George N. Reeke
Patterns of Genetic Interactions: Analysis of mRNA Levels from cDNA Microarrays	9	(16)
Larry S. Liebovitch
Lina A. Shehadeh
Viktor K. Jirsa
Calcium Signaling in Dendritic Spines	25	(36)
William R. Holmes
Physiological and Statistical Approaches to Modeling of Synaptic Responses	61	(28)
Parag G. Patil
Mike West
Howard V. Wheal
Dennis A. Turner
Natural Variability in the Geometry of Dendritic Branching Patterns	89	(28)
Jaap van Pelt
Harry B.M. Uylings
Multicylinder Models for Synaptic and Gap-Junctional Integration	117	(62)
Jonathan D. Evans
Voltage Transients in Branching Multipolar Neurons with Tapering Dendrites and Sodium Channels	179	(22)
Loyd L. Glenn
Jeffrey R. Knisley
Analytical Solutions of the Frankenhaeuser-Huxley Equations Modified for Dendritic Backpropagation of a Single Sodium Spike	201	(26)
Roman R. Poznanski
Inverse Problems for Some Cable Models of Dendrites	227	(16)
Jonathan Bell
Equivalent Cables --- Analysis and Construction	243	(36)
Kenneth A. Lindsay
Jay R. Rosenberg
Gayle Tucker
The Representation of Three-Dimensional Dendritic Structure by a One-Dimensional Model -- The Conventional Cable Equation as the First Member of a Hierarchy of Equations	279	(34)
Kenneth A. Lindsay
Jay R. Rosenberg
Gayle Tucker
Simulation Analyses of Retinal Cell Responses	313	(26)
Yoshimi Kamiyama
Akito Ishihara
Toshihiro Aoyama
Shiro Usui
Modeling Intracellular Calcium: Diffusion, Dynamics, and Domains	339	(36)
Gregory D. Smith
Ephaptic Interactions Between Neurons	375	(28)
Robert Costalat
Bruno Delord
Cortical Pyramidal Cells	403	(32)
Roger D. Orpwood
Semi-Quantitative Theory of Bistable Dendrites with Potential-Dependent Facilitation of Inward Current	435	(24)
Aron Gutman
Armantas Baginskas
Jorn Hounsgaard
Natasha Svirskiene
Gytis Svirskis
Bifurcation Analysis of the Hodgkin--Huxley Equations	459	(20)
Shunsuke Sato
Hidekazu Fukai
Taishin Nomura
Shinji Doi
Highly Efficient Propagation of Random Impulse Trains Across Unmyelinated Axonal Branch Points: Modifications by Periaxonal K+ Accumulation and Sodium Channel Kinetics	479	(52)
Mel D. Goldfinger
Dendritic Integration in a Two-Neuron Recurrent Excitatory Network Model	531	(24)
Roman R. Poznanski
Spike-Train Analysis for Neural Systems	555	(26)
David M. Halliday
The Poetics of Tremor	581	(18)
G.P. Moore
Helen M. Bronte-Stewart
Principles and Methods in the Analysis of Brain Networks	599	(14)
Olaf Sporns
The Darwin Brain-Based Automata: Synthetic Neural Models and Real-World Devices	613	(26)
Jeffrey L. Krichmar
George N. Reeke
Toward Neural Robotics: From Synthetic Models to Neuromimetic Implementations	639	(8)
Olaf Sporns
Bibliography	647	(58)
Index	705