Titlebook: Lectures in Supercomputational Neuroscience; Dynamics in Complex Peter beim Graben (Dr.),Changsong Zhou (Prof.Dr.), Book 2008 Springer-Ver

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Foundations of Neurophysicson potentials and postsynaptic potentials. It reviews several conductance-based and reduced neuron models, neural networks and neural .eld theories. Finally, the basic principles of the neuroelectrodynamics of mass potentials, i.e. dendritic .elds, local .eld potentials, and the electroencephalogram

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Organization and Function of Complex Cortical Networksat brain. We identify fundamental parameters of the structural organization of cortical networks, illustrate how these characteristics may arise during brain development and how they give rise to robustness of the cortical networks against damage. Moreover, we review potential implications of the st

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Synchronization Dynamics in Complex Networkss and its functional implications. The brain functions are mediated by complicated dynamical processes which arise from the underlying complex neural networks, and synchronization has been proposed as an important mechanism for neural information processing. In this chapter, we discuss synchronizati

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Synchronization Analysis of Neuronal Networks by Means of Recurrence Plotsh different topologies (random, small-world and scale-free) and neuronal dynamics at each node. We consider neurons that exhibit dynamics on two time scales, namely spiking and bursting behavior. The proposed method is able to distinguish between synchronization of spikes and synchronization of burs

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Neural and Cognitive Modeling with Networks of Leaky Integrator Units, we present neural networks consisting of leaky integrator units as a universal paradigm for neural and cognitive modeling. In contrast to standard recurrent neural networks, leaky integrator units are described by ordinary differential equations living in continuous time. We present an algorithm t

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Maintaining Causality in Discrete Time Neuronal Network Simulationsn the continuous dynamics of the neurons and the point events (spikes) they exchange. These problems increase significantly when the tool is designed to be distributed over many computers. In this chapter, we bring together the methods that have been developed over the last years to handle these dif

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Book 2008s, mathematicians, computer scientists, engineers and other specialists, e.g. from linguistics and medicine, seem to be able to expand the limits of our knowledge. ..The present volume is an introduction, largely from the physicists‘ perspective, to the subject matter with in-depth contributions by