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Neural Masses and Fields: Modelling the Dynamics of Brain Activity

2015-05-25 Differential equations
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Release : 2015-05-25
Genre : Differential equations
Kind : eBook
Book Rating : 272/5 ( reviews)

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Book Synopsis Neural Masses and Fields: Modelling the Dynamics of Brain Activity by : Karl Friston

Download or read book Neural Masses and Fields: Modelling the Dynamics of Brain Activity written by Karl Friston. This book was released on 2015-05-25. Available in PDF, EPUB and Kindle. Book excerpt: Biophysical modelling of brain activity has a long and illustrious history and has recently profited from technological advances that furnish neuroimaging data at an unprecedented spatiotemporal resolution. Neuronal modelling is a very active area of research, with applications ranging from the characterization of neurobiological and cognitive processes, to constructing artificial brains in silico and building brain-machine interface and neuroprosthetic devices. Biophysical modelling has always benefited from interdisciplinary interactions between different and seemingly distant fields; ranging from mathematics and engineering to linguistics and psychology. This Research Topic aims to promote such interactions by promoting papers that contribute to a deeper understanding of neural activity as measured by fMRI or electrophysiology. In general, mean field models of neural activity can be divided into two classes: neural mass and neural field models. The main difference between these classes is that field models prescribe how a quantity characterizing neural activity (such as average depolarization of a neural population) evolves over both space and time as opposed to mass models, which characterize activity over time only; by assuming that all neurons in a population are located at (approximately) the same point. This Research Topic focuses on both classes of models and considers several aspects and their relative merits that: span from synapses to the whole brain; comparisons of their predictions with EEG and MEG spectra of spontaneous brain activity; evoked responses, seizures, and fitting data - to infer brain states and map physiological parameters.

Neural Fields

2014-06-17 Mathematics
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Release : 2014-06-17
Genre : Mathematics
Kind : eBook
Book Rating : 939/5 ( reviews)

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Book Synopsis Neural Fields by : Stephen Coombes

Download or read book Neural Fields written by Stephen Coombes. This book was released on 2014-06-17. Available in PDF, EPUB and Kindle. Book excerpt: Neural field theory has a long-standing tradition in the mathematical and computational neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan, Nunez and Amari, this important research area experienced a renaissance during the 1990ties by the groups of Ermentrout, Robinson, Bressloff, Wright and Haken. Since then, much progress has been made in both, the development of mathematical and numerical techniques and in physiological refinement und understanding. In contrast to large-scale neural network models described by huge connectivity matrices that are computationally expensive in numerical simulations, neural field models described by connectivity kernels allow for analytical treatment by means of methods from functional analysis. Thus, a number of rigorous results on the existence of bump and wave solutions or on inverse kernel construction problems are nowadays available. Moreover, neural fields provide an important interface for the coupling of neural activity to experimentally observable data, such as the electroencephalogram (EEG) or functional magnetic resonance imaging (fMRI). And finally, neural fields over rather abstract feature spaces, also called dynamic fields, found successful applications in the cognitive sciences and in robotics. Up to now, research results in neural field theory have been disseminated across a number of distinct journals from mathematics, computational neuroscience, biophysics, cognitive science and others. There is no comprehensive collection of results or reviews available yet. With our proposed book Neural Field Theory, we aim at filling this gap in the market. We received consent from some of the leading scientists in the field, who are willing to write contributions for the book, among them are two of the founding-fathers of neural field theory: Shun-ichi Amari and Jack Cowan.

Brain Dynamics

2007-12-22 Science
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Release : 2007-12-22
Genre : Science
Kind : eBook
Book Rating : 382/5 ( reviews)

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Book Synopsis Brain Dynamics by : Hermann Haken

Download or read book Brain Dynamics written by Hermann Haken. This book was released on 2007-12-22. Available in PDF, EPUB and Kindle. Book excerpt: This is an excellent introduction for graduate students and nonspecialists to the field of mathematical and computational neurosciences. The book approaches the subject via pulsed-coupled neural networks, which have at their core the lighthouse and integrate-and-fire models. These allow for highly flexible modeling of realistic synaptic activity, synchronization and spatio-temporal pattern formation. The more advanced pulse-averaged equations are discussed.

Dynamics of Biologically Informed Neural Mass Models of the Brain

2012
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Release : 2012
Genre :
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Book Rating : /5 ( reviews)

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Book Synopsis Dynamics of Biologically Informed Neural Mass Models of the Brain by : Andreas Spiegler

Download or read book Dynamics of Biologically Informed Neural Mass Models of the Brain written by Andreas Spiegler. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt:

Neural and Brain Modeling

2012-12-02 Science
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Release : 2012-12-02
Genre : Science
Kind : eBook
Book Rating : 849/5 ( reviews)

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Book Synopsis Neural and Brain Modeling by : Ronald MacGregor

Download or read book Neural and Brain Modeling written by Ronald MacGregor. This book was released on 2012-12-02. Available in PDF, EPUB and Kindle. Book excerpt: Neural and Brain Modeling reviews models used to study neural interactions. The book also discusses 54 computer programs that simulate the dynamics of neurons and neuronal networks to illustrate between unit and systemic levels of nervous system functions. The models of neural and brain operations are composed of three sections: models of generic mechanisms; models of specific neuronal systems; and models of generic operations, networks, and systems. The text discusses the computational problems related to galvanizing a neuronal population though an activity in the multifiber input system. The investigator can use a computer technique to simulate multiple interacting neuronal populations. For example, he can investigate the case of a single local region that contains two populations of neurons: namely, a parent population of excitatory cells, and a second set of inhibitory neurons. Computer simulation models predict the various dynamic activity occurring in the complicated structure and physiology of neuronal systems. Computer models can be used in "top-down" brain/mind research where the systemic, global, and emergent properties of nervous systems are generated. The book is recommended for behavioral scientists, psychiatrists, psychologists, computer programmers, students, and professors in human behavior.

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