Mathematical Neuroscience

Written By Stanislaw Brzychczy
Mathematical Neuroscience
  • Publsiher : Academic Press
  • Release : 16 August 2013
  • ISBN : 0124104827
  • Pages : 208 pages
  • Rating : /5 from reviews
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Download or read book entitled Mathematical Neuroscience by author: Stanislaw Brzychczy which was release on 16 August 2013 and published by Academic Press with total page 208 pages . This book available in PDF, EPUB and Kindle Format. Mathematical Neuroscience is a book for mathematical biologists seeking to discover the complexities of brain dynamics in an integrative way. It is the first research monograph devoted exclusively to the theory and methods of nonlinear analysis of infinite systems based on functional analysis techniques arising in modern mathematics. Neural models that describe the spatio-temporal evolution of coarse-grained variables—such as synaptic or firing rate activity in populations of neurons —and often take the form of integro-differential equations would not normally reflect an integrative approach. This book examines the solvability of infinite systems of reaction diffusion type equations in partially ordered abstract spaces. It considers various methods and techniques of nonlinear analysis, including comparison theorems, monotone iterative techniques, a truncation method, and topological fixed point methods. Infinite systems of such equations play a crucial role in the integrative aspects of neuroscience modeling. The first focused introduction to the use of nonlinear analysis with an infinite dimensional approach to theoretical neuroscience Combines functional analysis techniques with nonlinear dynamical systems applied to the study of the brain Introduces powerful mathematical techniques to manage the dynamics and challenges of infinite systems of equations applied to neuroscience modeling

Mathematical Neuroscience

Mathematical Neuroscience
  • Author : Stanislaw Brzychczy,Roman R. Poznanski
  • Publisher : Academic Press
  • Release Date : 2013-08-16
  • Total pages : 208
  • ISBN : 0124104827
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Summary : Mathematical Neuroscience is a book for mathematical biologists seeking to discover the complexities of brain dynamics in an integrative way. It is the first research monograph devoted exclusively to the theory and methods of nonlinear analysis of infinite systems based on functional analysis techniques arising in modern mathematics. Neural models ...

Exam Prep for Mathematical Neuroscience

Exam Prep for  Mathematical Neuroscience
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2021-05-08
  • Total pages : 212
  • ISBN : 0124104827
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Summary : Read online Exam Prep for Mathematical Neuroscience written by , published by which was released on . Download full Exam Prep for Mathematical Neuroscience Books now! Available in PDF, ePub and Kindle....

Tutorials in Mathematical Biosciences I

Tutorials in Mathematical Biosciences I
  • Author : Alla Borisyuk,G. Bard Ermentrout,Avner Friedman,David H. Terman
  • Publisher : Springer
  • Release Date : 2005-01-28
  • Total pages : 170
  • ISBN : 0124104827
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Summary : This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory ...

Mathematical Neuroscience

Mathematical Neuroscience
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2005
  • Total pages : 170
  • ISBN : 0124104827
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Summary : Read online Mathematical Neuroscience written by , published by which was released on 2005. Download full Mathematical Neuroscience Books now! Available in PDF, ePub and Kindle....

Mathematics for Neuroscientists

Mathematics for Neuroscientists
  • Author : Fabrizio Gabbiani,Steven James Cox
  • Publisher : Academic Press
  • Release Date : 2010-09-16
  • Total pages : 498
  • ISBN : 0124104827
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Summary : Virtually all scientific problems in neuroscience require mathematical analysis, and all neuroscientists are increasingly required to have a significant understanding of mathematical methods. There is currently no comprehensive, integrated introductory book on the use of mathematics in neuroscience; existing books either concentrate solely on theoretical modeling or discuss mathematical concepts ...

Mathematical Foundations of Neuroscience

Mathematical Foundations of Neuroscience
  • Author : G. Bard Ermentrout,David H. Terman
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-07-01
  • Total pages : 422
  • ISBN : 0124104827
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Summary : This book applies methods from nonlinear dynamics to problems in neuroscience. It uses modern mathematical approaches to understand patterns of neuronal activity seen in experiments and models of neuronal behavior. The intended audience is researchers interested in applying mathematics to important problems in neuroscience, and neuroscientists who would like to ...

Tutorials in Mathematical Biosciences I

Tutorials in Mathematical Biosciences I
  • Author : Alla Borisyuk,G. Bard Ermentrout,Avner Friedman,David H. Terman
  • Publisher : Springer Science & Business Media
  • Release Date : 2005-02-18
  • Total pages : 170
  • ISBN : 0124104827
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Summary : This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory ...

Mathematical and Theoretical Neuroscience

Mathematical and Theoretical Neuroscience
  • Author : Giovanni Naldi,Thierry Nieus
  • Publisher : Springer
  • Release Date : 2018-03-20
  • Total pages : 253
  • ISBN : 0124104827
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Summary : This volume gathers contributions from theoretical, experimental and computational researchers who are working on various topics in theoretical/computational/mathematical neuroscience. The focus is on mathematical modeling, analytical and numerical topics, and statistical analysis in neuroscience with applications. The following subjects are considered: mathematical modelling in Neuroscience, analytical and numerical ...

Advances in Cognitive Neurodynamics III

Advances in Cognitive Neurodynamics  III
  • Author : Yoko Yamaguchi
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-04-08
  • Total pages : 846
  • ISBN : 0124104827
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Summary : Within our knowledge, the series of the International Conference on Cognitive Neurodynamics (ICCN) is the only conference series dedicating to cognitive neurodynamis. This volume is the proceedings of the 3rd International Conference on Cognitive Neurodynamics held in 2011, which reviews the progress in this field since the 1st ICCN - 2007. The ...

Mathematical Reviews

Mathematical Reviews
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2008
  • Total pages : 212
  • ISBN : 0124104827
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Summary : Read online Mathematical Reviews written by , published by which was released on 2008. Download full Mathematical Reviews Books now! Available in PDF, ePub and Kindle....

Stochastic Methods in Neuroscience

Stochastic Methods in Neuroscience
  • Author : Carlo Laing,Gabriel J Lord
  • Publisher : OUP Oxford
  • Release Date : 2009-09-24
  • Total pages : 396
  • ISBN : 0124104827
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Summary : Great interest is now being shown in computational and mathematical neuroscience, fuelled in part by the rise in computing power, the ability to record large amounts of neurophysiological data, and advances in stochastic analysis. These techniques are leading to biophysically more realistic models. It has also become clear that both ...

Tutorials in Mathematical Biosciences IV

Tutorials in Mathematical Biosciences IV
  • Author : Avner Friedman
  • Publisher : Springer
  • Release Date : 2007-11-21
  • Total pages : 210
  • ISBN : 0124104827
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Summary : This book offers an introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. It reviews the concept and methodologies of phylogenetic trees, introduces ecological models, examines a broad range of ongoing research in population dynamics, and deals with gene frequencies under the ...

Dynamical Systems in Neuroscience

Dynamical Systems in Neuroscience
  • Author : Eugene M. Izhikevich
  • Publisher : MIT Press
  • Release Date : 2007
  • Total pages : 441
  • ISBN : 0124104827
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Summary : In order to model neuronal behavior or to interpret the results of modeling studies, neuroscientists must call upon methods of nonlinear dynamics. This book offers an introduction to nonlinear dynamical systems theory for researchers and graduate students in neuroscience. It also provides an overview of neuroscience for mathematicians who want ...

Scientiae Mathematicae Japonicae

Scientiae Mathematicae Japonicae
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 2003
  • Total pages : 212
  • ISBN : 0124104827
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Summary : Read online Scientiae Mathematicae Japonicae written by , published by which was released on 2003. Download full Scientiae Mathematicae Japonicae Books now! Available in PDF, ePub and Kindle....

Atti del Congresso internazionale dei matematici

Atti del     Congresso internazionale dei matematici
  • Author : Anonim
  • Publisher : Unknown
  • Release Date : 1998
  • Total pages : 212
  • ISBN : 0124104827
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Summary : Read online Atti del Congresso internazionale dei matematici written by , published by which was released on 1998. Download full Atti del Congresso internazionale dei matematici Books now! Available in PDF, ePub and Kindle....