Boca Raton: Chapman & Hall/CRC, 2003. — 640 p. — (Chapman & Hall/CRC Mathematical Biology and Medicine Series). — ISBN: 1-58488-362-6.
How does the brain work? After a century of research, we still lack a coherent view of how neurons process signals and control our activities. But as the field of computational neuroscience continues to evolve, we find that it provides a theoretical foundation and a set of technological approaches that can significantly enhance our understanding.
Computational Neuroscience: A Comprehensive Approach provides a unified treatment of the mathematical theory of the nervous system and presents concrete examples demonstrating how computational techniques can illuminate difficult neuroscience problems. In chapters contributed by top researchers, the book introduces the basic mathematical concepts, then examines modeling at all levels, from single-channel and single neuron modeling to neuronal networks and system-level modeling. The emphasis is on models with close ties to experimental observations and data, and the authors review application of the models to systems such as olfactory bulbs, fly vision, and sensorymotor systems.
Understanding the nature and limits of the strategies neural systems employ to process and transmit sensory information stands among the most exciting and difficult challenges faced by modern science. This book clearly shows how computational neuroscience has and will continue to help meet that challenge.
Henry C. Tuckwell, and Jianfeng FengA Theoretical OverviewDeterministic dynamical systems
Stochastic dynamical systems
Information theory
Optimal control
Peter D. TielemanAtomistic Simulations of Ion ChannelsSimulation methods
Selected applications
Outlook
Saleet M. Jafri, and Keun-Hang YangModelling Neuronal Calcium DynamicsBasic principles
Special calciumsignaling for neurons
Conclusions
Andrew Philippides, Phil Husbands, Tom Smith, and Michael O.SheaStructure-Based Models of NO Diffusion in the Nervous SystemMethods
Results
Exploring functional roles with more abstract models
Conclusions
Alan G. HawkesStochastic Modelling of Single Ion ChannelsSome basic probability
Single channel models
Transition probabilities, macroscopic currents and noise
Behaviour of single channels under equilibriumconditions
Time interval omission
Some miscellaneous topics
Hugh P.C. RobinsonThe Biophysical Basis of Firing Variability in Cortical NeuronsTypical input is correlated and irregular
Synaptic unreliability
Postsynaptic ion channel noise
Integration of a transient input by cortical neurons
Noisy spike generation dynamics
Dynamics of NMDA receptors
Class 1 and class 2 neurons show different noise sensitivities
Cortical cell dynamical classes
Implications for synchronous .ring
Conclusions
Gareth Leng, Arleta Reiff-Marganiec, Mike Ludwig, and Nancy SabatierGenerating Quantitatively Accurate, but Computationally Concise, Models of Single NeuronsThe hypothalamo-hypophysial system
Statistical methods to investigate the intrinsic mechanisms underlying spike patterning
Summary and conclusions
Rüdiger Krahe and Fabrizio GabbianiBursting Activity in Weakly Electric Fish
Overview of the electrosensory system
Feature extraction by spike bursts
Factors shaping burstiring
in vivoConditional action potential backpropagation controls burst firing
in vitroComparison with other bursting neurons
Conclusions
Emery N. Brown, Riccardo Barbieri, Uri T. Eden, and Loren M. FrankLikelihood Methods for Neural Spike Train Data AnalysisTheory
Applications
Appendix
Andrew DavisonBiologically-Detailed Network ModellingCells
Synapses
Connections
Inputs
Implementation
Validation
Conclusions
Sen SongHebbian Learning and Spike-Timing-Dependent PlasticityHebbian models of plasticity
Spike-timing dependent plasticity
Role of constraints in Hebbian learning
Competitive Hebbian learning through STDP
Temporal aspects of STDP
STDP in a network
Emilio Salinas, and Terrence J. SejnowskiCorrelated Neuronal Activity: High- and Low-Level ViewsIntroduction: the timing game
Functional roles for spike timing
Correlations arising fromcommon input
Correlations arising fromlocal network interactions
When are neurons sensitive to correlated input?
A simple, quantitative model
Correlations and neuronal variability
Appendix
Rasmus S. Petersen, and Stefano PanzeriA Case Study of Population Coding: Stimulus Localisation in the Barrel CortexSeries expansion method
The whisker system
Coding in the whisker system
Discussion
Conclusions
Alexander Borst
Modelling Fly Motion VisionThe fly motion vision system: an overview
Mechanisms of local motion detection: the correlation detector
Spatial processing of local motion signals by Lobula plate tangential cells
Conclusions
Alfonso Renart, Nicolas Brunel, and Xiao-Jing WangMean-Field Theory of Irregularly Spiking Neuronal Populations and Working Memory in Recurrent Cortical NetworksFiring-rate and variability of a spiking neuron with noisy input
Self-consistent theory of recurrent cortical circuits
Summary and future directions
Edmund T. RollsThe Operation of Memory Systems in the BrainFunctions of the hippocampus in long-term memory
Short-term memory systems
nvariant visual object recognition
Visual stimulus-reward association, emotion, and motivation
Effects of mood on memory and visual processing
Pietro G. Morasso, and Vittorio SanguinetiModelling Motor Control ParadigmsIntroduction: the ecological nature of motor control
The robotic perspective
The biological perspective
The role of cerebellumin the coordination of multiple joints
Controlling unstable plants
Motor learning paradigms
Wolfgang Maass, Thomas Natschlaeger, and Henry MarkramComputational Models for Generic Cortical MicrocircuitsA conceptual framework for real-time neural computation
The generic neural microcircuit model
Towards a non-Turing theory for real-time neural computation
A generic neural microcircuit on the computational test stand
Temporal integration and kernel function of neural microcircuit models
Software for evaluating the computational capabilities of neural microcircuit model
Discussion
Laurent IttiModelling Primate Visual AttentionBrain areas
Bottom-up control
Top-down modulation of early vision
Top-down deployment of attention
Attention and scene understanding
Discussion