Mathematical and Theoretical Neuroscience Cell, Network and Data Ana

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

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Giovanni Naldi Thierry Nieus Editors

Mathematical and Theoretical Neuroscience Cell, Network and Data Analysis

Springer INdAM Series Volume 24

Editor-in-Chief G. Patrizio Series Editors C. Canuto G. Coletti G. Gentili A. Malchiodi P. Marcellini E. Mezzetti G. Moscariello T. Ruggeri

More information about this series at http://www.springer.com/series/10283

Giovanni Naldi • Thierry Nieus Editors

Mathematical and Theoretical Neuroscience Cell, Network and Data Analysis

123

Editors Giovanni Naldi Environment Science and Policy University of Milan Milan, Italy

Thierry Nieus Department of Biomedical and Clinical Sciences University of Milan Milan, Italy

ISSN 2281-518X ISSN 2281-5198 (electronic) Springer INdAM Series ISBN 978-3-319-68296-9 ISBN 978-3-319-68297-6 (eBook) https://doi.org/10.1007/978-3-319-68297-6 Library of Congress Control Number: 2018931066 © Springer International Publishing AG, part of Springer Nature 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by the registered company Springer International Publishing AG part of Springer Nature. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Preface

Neuroscience is becoming increasingly quantitative and the need for theoreticians interested in collaborating with experimental neuroscientists will only increase in the coming years. In addition to a need for modeling, the kinds of problem which arise in neuroscience applications are mathematically interesting in their own right. Mathematical neuroscience here means an area of neuroscience where mathematics is the primary tool for elucidating the fundamental mechanisms responsible for experimentally observed behavior. As an example, of primary interest to neuroscientists are the roles of the highly nonlinear intrinsic properties of individual neurons