Waves in Neural Media

From Single Neurons to Neural Fields

Author: Paul C. Bressloff

Publisher: Springer Science & Business Media

ISBN: 1461488664

Category: Mathematics

Page: 436

View: 3386

​Waves in Neural Media: From Single Neurons to Neural Fields surveys mathematical models of traveling waves in the brain, ranging from intracellular waves in single neurons to waves of activity in large-scale brain networks. The work provides a pedagogical account of analytical methods for finding traveling wave solutions of the variety of nonlinear differential equations that arise in such models. These include regular and singular perturbation methods, weakly nonlinear analysis, Evans functions and wave stability, homogenization theory and averaging, and stochastic processes. Also covered in the text are exact methods of solution where applicable. Historically speaking, the propagation of action potentials has inspired new mathematics, particularly with regard to the PDE theory of waves in excitable media. More recently, continuum neural field models of large-scale brain networks have generated a new set of interesting mathematical questions with regard to the solution of nonlocal integro-differential equations. Advanced graduates, postdoctoral researchers and faculty working in mathematical biology, theoretical neuroscience, or applied nonlinear dynamics will find this book to be a valuable resource. The main prerequisites are an introductory graduate course on ordinary differential equations or partial differential equations, making this an accessible and unique contribution to the field of mathematical biology.

Random Graphs and Complex Networks

Author: Remco van der Hofstad

Publisher: Cambridge University Press

ISBN: 110717287X

Category: Computers

Page: 375

View: 366

This classroom-tested text is the definitive introduction to the mathematics of network science, featuring examples and numerous exercises.

Foundations and Tools for Neural Modeling

International Work-Conference on Artificial and Natural Neural Networks, IWANN'99, Alicante, Spain, June 2-4, 1999, Proceedings

Author: Jose Mira,International Work Conference on Artificial Neural Networks (5 : 1999 : Alicante)

Publisher: Springer Science & Business Media

ISBN: 9783540660699

Category: Computers

Page: 865

View: 2731

This book constitutes, together with its compagnion LNCS 1607, the refereed proceedings of the International Work-Conference on Artificial and Natural Neural Networks, IWANN'99, held in Alicante, Spain in June 1999. The 89 revised papers presented were carefully reviewed and selected for inclusion in the book. This volume is devoted to foundational issues of neural computation and tools for neural modeling. The papers are organized in parts on neural modeling: biophysical and structural models; plasticity phenomena: maturing, learning, and memory; and artificial intelligence and cognitive neuroscience.

Mathematics in Popular Culture

Essays on Appearances in Film, Fiction, Games, Television and Other Media

Author: Jessica K. Sklar,Elizabeth S. Sklar

Publisher: McFarland

ISBN: 0786489944

Category: Social Science

Page: 353

View: 2993

Mathematics has maintained a surprising presence in popular media for over a century. In recent years, the movies Good Will Hunting, A Beautiful Mind, and Stand and Deliver, the stage plays Breaking the Code and Proof, the novella Flatland and the hugely successful television crime series NUMB3RS all weave mathematics prominently into their storylines. Less obvious but pivotal references to the subject appear in the blockbuster TV show Lost, the cult movie The Princess Bride, and even Tolstoy’s War and Peace. In this collection of new essays, contributors consider the role of math in everything from films, baseball, crossword puzzles, fantasy role-playing games, and television shows to science fiction tales, award-winning plays and classic works of literature. Revealing the broad range of intersections between mathematics and mainstream culture, this collection demonstrates that even “mass entertainment” can have a hidden depth.

Artificial Neural Networks - ICANN 96

6th International Conference, Bochum, Germany, July 16 - 19, 1996. Proceedings

Author: Christoph von der Malsburg,Werner von Seelen,Jan C. Vorbrüggen,Bernhard Sendhoff

Publisher: Springer Science & Business Media

ISBN: 9783540615101

Category: Computers

Page: 922

View: 5706

This book constitutes the refereed proceedings of the sixth International Conference on Artificial Neural Networks - ICANN 96, held in Bochum, Germany in July 1996. The 145 papers included were carefully selected from numerous submissions on the basis of at least three reviews; also included are abstracts of the six invited plenary talks. All in all, the set of papers presented reflects the state of the art in the field of ANNs. Among the topics and areas covered are a broad spectrum of theoretical aspects, applications in various fields, sensory processing, cognitive science and AI, implementations, and neurobiology.

Computational Science - ICCS 2001

International Conference, San Francisco, CA, USA, May 28-30, 2001. Proceedings

Author: Vassil N. Alexandrov,Jack J. Dongarra,Benjoe A. Juliano,Rene S. Renner,C.J.Kenneth Tan

Publisher: Springer Science & Business Media

ISBN: 3540422331

Category: Computers

Page: 1081

View: 5813

LNCS volumes 2073 and 2074 contain the proceedings of the International Conference on Computational Science, ICCS 2001, held in San Francisco, California, May 27-31, 2001. The two volumes consist of more than 230 contributed and invited papers that reflect the aims of the conference to bring together researchers and scientists from mathematics and computer science as basic computing disciplines, researchers from various application areas who are pioneering advanced application of computational methods to sciences such as physics, chemistry, life sciences, and engineering, arts and humanitarian fields, along with software developers and vendors, to discuss problems and solutions in the area, to identify new issues, and to shape future directions for research, as well as to help industrial users apply various advanced computational techniques.

Mathematical Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 4541

Dissipative Solitons: From Optics to Biology and Medicine

Author: Nail Akhmediev,Adrian Ankiewicz

Publisher: Springer Science & Business Media

ISBN: 3540782168

Category: Technology & Engineering

Page: 479

View: 2820

The dissipative soliton concept is a fundamental extension of the concept of solitons in conservative and integrable systems. It includes ideas from three major sources, namely standard soliton theory developed since the 1960s; nonlinear dynamics theory; and Prigogine's ideas of systems far from equilibrium. These three sources also correspond to the three component parts of this novel paradigm. This book explains the above principles in detail and gives the reader various examples.

Issues in Biophysics and Geophysics Research and Application: 2011 Edition

Author: N.A

Publisher: ScholarlyEditions

ISBN: 1464964297

Category: Science

Page: 1698

View: 8428

Issues in Biophysics and Geophysics Research and Application: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Biophysics and Geophysics Research and Application. The editors have built Issues in Biophysics and Geophysics Research and Application: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Biophysics and Geophysics Research and Application in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Biophysics and Geophysics Research and Application: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Grundlagen zur Neuroinformatik und Neurobiologie

The Computational Brain in deutscher Sprache

Author: Patricia S. Churchland,Terrence J. Sejnowski

Publisher: Springer-Verlag

ISBN: 3322868214

Category: Technology & Engineering

Page: 702

View: 5753

The Computational Brain, das außergewöhnliche Buch über vergleichende Forschung in den Bereichen von menschlichem Gehirn und neuesten Möglichkeiten der Computertechnologie, liegt hiermit erstmals in deutscher Sprache vor. Geschrieben von einem führenden Forscherteam in den USA, ist es eine Fundgrube für alle, die wissen wollen, was der Stand der Wissenschaft auf diesem Gebiet ist. Die Autoren führen die Bereiche der Neuroinformatik und Neurobiologie mit gut ausgesuchten Beispielen und der gebotenen Hintergrundinformation gekonnt zusammen. Das Buch wird somit nicht nur dem Fachwissenschaftler sondern auch dem interdisziplinären Interesse des Informatikers und des Biologen auf eine hervorragende Weise gerecht. Übersetzt wurde das Buch von Prof. Dr. Steffen Hölldobler und Dipl.-Biol. Claudia Hölldobler, einem Informatiker und einer Biologin. Rezension in Spektrum der Wissenschaft nr. 10, S. 122 f. im Oktober 1997 (...) Die 1992 erschienene amerikanische Originalausgabe des vorliegenden Werkes ist so erfolgreich, daß man bereits von einem Klassiker reden kann. (...) (...) ....ist das Buch sehr zu empfehlen. In Verbindung von Neurobiologie und Neuroinformatik konkurrenzlos, vermittelt es einiges von der Faszination theoretischer Hirnforschung, die auch in Deutschland zunehmend mehr Wissenschaftler in ihren Bann schlägt. Rezension erschienen in: Computer Spektrum 3/1997, S. 2 (...)Das Buch wird somit nicht nur dem Fachwissenschaftler, sondern auch den interdisziplinären Interesse des Informatikers und des Biologen auf eine hervorragende Weise gerecht(...)

From Instability to Intelligence

Complexity and Predictability in Nonlinear Dynamics

Author: Michail Zak,Joseph P. Zbilut,Ronald E. Meyers

Publisher: Springer Science & Business Media

ISBN: 3540630554

Category: Science

Page: 552

View: 9810

This book deals with predictability and dynamical concepts in biology and physics. The main emphasis is on intrinsic stochasticity caused by the instability of dynamical equations. In particular, the authors present for the first time in book form their concept of terminal dynamics. They demonstrate that instability as an attribute of dynamical models can explain the paradox of irreversibility in thermodynamics, the phenomenon of chaos and turbulence in classical mechanics, and non-deterministic (multi-choice) behavior in biological and social systems. The first part of the book describes the basic properties of instability as an attribute of dynamical models and how their analysis is dependent upon frames of reference. The second part describes these instabilities and their usefullness in physics, biology, neural nets, creativity, intelligence, and social behavior (the "collective brain"). The book addresses researchers as well as students; it should also be of interest to philosophers of science.

Das Geheimnis des menschlichen Denkens

Einblicke in das Reverse Engineering des Gehirns

Author: Ray Kurzweil

Publisher: Lola Books

ISBN: 394420316X

Category: Science

Page: 352

View: 7288

Der Wettlauf um das Gehirn hat begonnen. Sowohl die EU als auch die USA haben gewaltige Forschungsprojekte ins Leben gerufen um das Geheimnis des menschlichen Denkens zu entschlüsseln. 2023 soll es dann soweit sein: Das menschliche Gehirn kann vollständig simuliert werden. In "Das Geheimnis des menschlichen Denkens" gewährt Googles Chefingenieur Ray Kurzweil einen spannenden Einblick in das Reverse Engineering des Gehirns. Er legt dar, wie mithilfe der Mustererkennungstheorie des Geistes der ungeheuren Komplexität des Gehirns beizukommen ist und wirft einen ebenso präzisen wie überraschenden Blick auf die am Horizont sich bereits abzeichnende Zukunft. Ist das menschliche Gehirn erst einmal simuliert, wird künstliche Intelligenz die Fähigkeiten des Menschen schon bald übertreffen. Ein Ereignis, das Kurzweil aufgrund der bereits in "Menschheit 2.0" entworfenen exponentiellen Wachstumskurve der Informationstechnologien bereits für das Jahr 2029 prognostiziert. Aber was dann? Kurzweil ist zuversichtlich, dass die Vorteile künstlicher Intelligenz mögliche Bedrohungsszenarien überwiegen und sie uns entscheidend dabei hilft, uns weiterzuentwickeln und die Herausforderungen der Zukunft zu meistern.

Das Schauspiel des Denkens

neurowissenschaftliche Erkundungen

Author: Bernard J. Baars

Publisher: N.A

ISBN: 9783608919448

Category: Cognition

Page: 310

View: 1802

Inhaltsübersicht: Vorwort, Im Theater des Bewusstseins, 1. Bewusstsein als Variable, 2. Die Theaterbühne besitzt begrenzte Kapazität, ermöglicht aber grenzenlosen Zugang, 3. Auf der Bühne: Empfindungen, Vorstellungen und Ideen, 4. Der Scheinwerfer: Aufmerksamkeit, Absorption und Konstruktion der Wirklichkeit, 5. Hinter den Kulissen: Die Kontexte, die unsere Erfahrung prägen, 6. Der Wille: bewusste Handlungskontrolle, 7. Der Regisseur: das Selbst als der vereinheitlichende Bewusstseinskontext, 8. Wozu nützt das alles? Die Funktion des Bewusstseins, 9. Epilog: Ein klein bisschen Philosophie, Anhang, Ausgewählte Literatur, Bildnachweis, Register.

Datenanalyse mit Python

Auswertung von Daten mit Pandas, NumPy und IPython

Author: Wes McKinney

Publisher: O'Reilly

ISBN: 3960102143

Category: Computers

Page: 542

View: 6803

Erfahren Sie alles über das Manipulieren, Bereinigen, Verarbeiten und Aufbereiten von Datensätzen mit Python: Aktualisiert auf Python 3.6, zeigt Ihnen dieses konsequent praxisbezogene Buch anhand konkreter Fallbeispiele, wie Sie eine Vielzahl von typischen Datenanalyse-Problemen effektiv lösen. Gleichzeitig lernen Sie die neuesten Versionen von pandas, NumPy, IPython und Jupyter kennen.Geschrieben von Wes McKinney, dem Begründer des pandas-Projekts, bietet Datenanalyse mit Python einen praktischen Einstieg in die Data-Science-Tools von Python. Das Buch eignet sich sowohl für Datenanalysten, für die Python Neuland ist, als auch für Python-Programmierer, die sich in Data Science und Scientific Computing einarbeiten wollen. Daten und zugehöriges Material des Buchs sind auf GitHub verfügbar.Aus dem Inhalt:Nutzen Sie die IPython-Shell und Jupyter Notebook für das explorative ComputingLernen Sie Grundfunktionen und fortgeschrittene Features von NumPy kennenSetzen Sie die Datenanalyse-Tools der pandasBibliothek einVerwenden Sie flexible Werkzeuge zum Laden, Bereinigen, Transformieren, Zusammenführen und Umformen von DatenErstellen Sie interformative Visualisierungen mit matplotlibWenden Sie die GroupBy-Mechanismen von pandas an, um Datensätzen zurechtzuschneiden, umzugestalten und zusammenzufassenAnalysieren und manipulieren Sie verschiedenste Zeitreihen-DatenFür diese aktualisierte 2. Auflage wurde der gesamte Code an Python 3.6 und die neuesten Versionen der pandas-Bibliothek angepasst. Neu in dieser Auflage: Informationen zu fortgeschrittenen pandas-Tools sowie eine kurze Einführung in statsmodels und scikit-learn.

Drugs: Advances in Research and Application: 2011 Edition

Author: N.A

Publisher: ScholarlyEditions

ISBN: 1464920923

Category: Medical

Page: 891

View: 5339

Drugs: Advances in Research and Application: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Trials. The editors have built Drugs: Advances in Research and Application: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Trials in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Drugs: Advances in Research and Application: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Issues in Pharmacology, Pharmacy, Drug Research, and Drug Innovation: 2011 Edition

Author: N.A

Publisher: ScholarlyEditions

ISBN: 1464963444

Category: Medical

Page: 4229

View: 3243

Issues in Pharmacology, Pharmacy, Drug Research, and Drug Innovation: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Pharmacology, Pharmacy, Drug Research, and Drug Innovation. The editors have built Issues in Pharmacology, Pharmacy, Drug Research, and Drug Innovation: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Pharmacology, Pharmacy, Drug Research, and Drug Innovation in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Pharmacology, Pharmacy, Drug Research, and Drug Innovation: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Issues in Electronic Circuits, Devices, and Materials: 2011 Edition

Author: N.A

Publisher: ScholarlyEditions

ISBN: 146496372X

Category: Technology & Engineering

Page: 2452

View: 5300

Issues in Electronic Circuits, Devices, and Materials: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Electronic Circuits, Devices, and Materials. The editors have built Issues in Electronic Circuits, Devices, and Materials: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Electronic Circuits, Devices, and Materials in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Electronic Circuits, Devices, and Materials: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Selbstorganisation chemischer Strukturen

Arbeiten von Friedlieb Ferdinand Runge, Raphael Eduard Liesegang, Boris Pavlovich Belousov und Anatol Markovich Zhabotinsky

Author: Uwe Niedersen

Publisher: N.A

ISBN: N.A

Category: Chemical structure

Page: 112

View: 6555