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Stochastic Models For Spike Trains Of Single Neurons


Stochastic Models For Spike Trains Of Single Neurons
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Stochastic Models For Spike Trains Of Single Neurons


Stochastic Models For Spike Trains Of Single Neurons
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Author : S.K. Srinivasan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-13

Stochastic Models For Spike Trains Of Single Neurons written by S.K. Srinivasan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-13 with Mathematics categories.


1 Some basic neurophysiology 4 The neuron 1. 1 4 1. 1. 1 The axon 7 1. 1. 2 The synapse 9 12 1. 1. 3 The soma 1. 1. 4 The dendrites 13 13 1. 2 Types of neurons 2 Signals in the nervous system 14 2. 1 Action potentials as point events - point processes in the nervous system 15 18 2. 2 Spontaneous activi~ in neurons 3 Stochastic modelling of single neuron spike trains 19 3. 1 Characteristics of a neuron spike train 19 3. 2 The mathematical neuron 23 4 Superposition models 26 4. 1 superposition of renewal processes 26 4. 2 Superposition of stationary point processe- limiting behaviour 34 4. 2. 1 Palm functions 35 4. 2. 2 Asymptotic behaviour of n stationary point processes superposed 36 4. 3 Superposition models of neuron spike trains 37 4. 3. 1 Model 4. 1 39 4. 3. 2 Model 4. 2 - A superposition model with 40 two input channels 40 4. 3. 3 Model 4. 3 4. 4 Discussion 41 43 5 Deletion models 5. 1 Deletion models with 1nd~endent interaction of excitatory and inhibitory sequences 44 VI 5. 1. 1 Model 5. 1 The basic deletion model 45 5. 1. 2 Higher-order properties of the sequence of r-events 55 5. 1. 3 Extended version of Model 5. 1 - Model 60 5. 2 5. 2 Models with dependent interaction of excitatory and inhibitory sequences - MOdels 5. 3 and 5.



Stochastic Models For Spike Trains Of Single Neurons


Stochastic Models For Spike Trains Of Single Neurons
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Author : G. Sampath
language : de
Publisher:
Release Date : 1977

Stochastic Models For Spike Trains Of Single Neurons written by G. Sampath and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Action potentials (Electrophysiology) categories.




Stochastic Models For Spike Trains Of Single Neurons


Stochastic Models For Spike Trains Of Single Neurons
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Author : G. Sampath
language : en
Publisher:
Release Date : 1974

Stochastic Models For Spike Trains Of Single Neurons written by G. Sampath and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Action potentials (Electrophysiology) categories.




Analysis Of Parallel Spike Trains


Analysis Of Parallel Spike Trains
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Author : Sonja Grün
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-18

Analysis Of Parallel Spike Trains written by Sonja Grün and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-18 with Science categories.


Solid and transparent data analysis is the most important basis for reliable interpretation of experiments. The technique of parallel spike train recordings using multi-electrode arrangements has been available for many decades now, but only recently gained wide popularity among electro physiologists. Many traditional analysis methods are based on firing rates obtained by trial-averaging, and some of the assumptions for such procedures to work can be ignored without serious consequences. The situation is different for correlation analysis, the result of which may be considerably distorted if certain critical assumptions are violated. The focus of this book is on concepts and methods of correlation analysis (synchrony, patterns, rate covariance), combined with a solid introduction into approaches for single spike trains, which represent the basis of correlations analysis. The book also emphasizes pitfalls and potential wrong interpretations of data due to violations of critical assumptions.



Single Neuron Computation


Single Neuron Computation
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Author : Thomas M. McKenna
language : en
Publisher: Academic Press
Release Date : 2014-05-19

Single Neuron Computation written by Thomas M. McKenna and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-19 with Computers categories.


This book contains twenty-two original contributions that provide a comprehensive overview of computational approaches to understanding a single neuron structure. The focus on cellular-level processes is twofold. From a computational neuroscience perspective, a thorough understanding of the information processing performed by single neurons leads to an understanding of circuit- and systems-level activity. From the standpoint of artificial neural networks (ANNs), a single real neuron is as complex an operational unit as an entire ANN, and formalizing the complex computations performed by real neurons is essential to the design of enhanced processor elements for use in the next generation of ANNs.The book covers computation in dendrites and spines, computational aspects of ion channels, synapses, patterned discharge and multistate neurons, and stochastic models of neuron dynamics. It is the most up-to-date presentation of biophysical and computational methods.



Neural And Brain Modeling


Neural And Brain Modeling
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Author : Ronald MacGregor
language : en
Publisher: Elsevier
Release Date : 2012-12-02

Neural And Brain Modeling written by Ronald MacGregor and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.


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.



Correlated Neuronal Activity And Its Relationship To Coding Dynamics And Network Architecture


Correlated Neuronal Activity And Its Relationship To Coding Dynamics And Network Architecture
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Author : Tatjana Tchumatchenko
language : en
Publisher: Frontiers E-books
Release Date : 2014-12-03

Correlated Neuronal Activity And Its Relationship To Coding Dynamics And Network Architecture written by Tatjana Tchumatchenko and has been published by Frontiers E-books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-03 with Brain function categories.


Correlated activity in populations of neurons has been observed in many brain regions and plays a central role in cortical coding, attention, and network dynamics. Accurately quantifying neuronal correlations presents several difficulties. For example, despite recent advances in multicellular recording techniques, the number of neurons from which spiking activity can be simultaneously recorded remains orders magnitude smaller than the size of local networks. In addition, there is a lack of consensus on the distribution of pairwise spike cross correlations obtained in extracellular multi-unit recordings. These challenges highlight the need for theoretical and computational approaches to understand how correlations emerge and to decipher their functional role in the brain.



Biomedical Signal Processing


Biomedical Signal Processing
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Author : Arnon Cohen
language : en
Publisher: CRC Press
Release Date : 2019-07-17

Biomedical Signal Processing written by Arnon Cohen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-17 with Science categories.


First published in 1986: The presentation of the material in the book follows the flow of events of the general signal processing system. After the signal has been acquired, some manipulations are applied in order to enhance the relevant information present in the signal. Simple, Optimal, and adaptive filtering are examples of such manipulations. The detection of wavelets is of importance in biomedical signals; they can be detected from the enhanced signal by several methods. The signal very often contains redundancies. When effective storing, transmission, or automatic classification are required, these redundancies have to be extracted.



Corticonics


Corticonics
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Author : M. Abeles
language : en
Publisher: Cambridge University Press
Release Date : 1991-02-22

Corticonics written by M. Abeles and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-02-22 with Medical categories.


Understanding how the brain works is probably the greatest scientific and intellectual challenge of our generation. The cerebral cortex is the instrument by which we carry the most complex mental functions. Fortunately, there exists an immense body of knowledge concerning both cortical structure and the properties of single neurons in the cortex. With the advent of the supercomputer, there has been increased interest in neural network modeling. What is needed is a new approach to an understanding of the mammalian cerebral cortex that will provide a link between the physiological description and the computer model. This book meets that need by combining anatomy, physiology, and modeling to achieve a quantitative description of cortical function. The material is presented didactically, starting with descriptive anatomy and comprehensively examining all aspects of modeling. The book gradually leads the reader from the macroscopic cortical anatomy and standard electrophysiological properties of single neurons to neural network models and synfire chains. The most modern trends in neural network modeling are explored.



Trends In Biomathematics Modeling Epidemiological Neuronal And Social Dynamics


Trends In Biomathematics Modeling Epidemiological Neuronal And Social Dynamics
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Author : Rubem P. Mondaini
language : en
Publisher: Springer Nature
Release Date : 2023-07-24

Trends In Biomathematics Modeling Epidemiological Neuronal And Social Dynamics written by Rubem P. Mondaini and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-24 with Mathematics categories.


This volume gathers together selected peer-reviewed works presented at the BIOMAT 2022 International Symposium, which was virtually held on November 7-11, 2022, with an organization staff based in Rio de Janeiro, Brazil. Topics touched on in this volume include infection spread in a population described by an agent-based approach; the study of gene essentiality via network-based computational modeling; stochastic models of neuronal dynamics; and the modeling of a statistical distribution of amino acids in protein domain families. The reader will also find texts in epidemic models with dynamic social distancing; with no vertical transmission; and with general incidence rates. Aspects of COVID-19 dynamics: the use of an SEIR model to analyze its spread in Brazil; the age-dependent manner of modeling its spread pattern; the impact of media awareness programs; and a web-based computational tool for Non-invasive hemodynamics evaluation of coronary stenosis are also covered. Held every year since 2001, The BIOMAT International Symposium gathers together, in a single conference, researchers from Mathematics, Physics, Biology, and affine fields to promote the interdisciplinary exchange of results, ideas and techniques, promoting truly international cooperation for problem discussion. BIOMAT volumes published from 2017 to 2021 are also available by Springer.