Dynamics of Mathematical Models in Biology Bringing Mathematics to

This volume focuses on contributions from both the mathematics and life science community surrounding the concepts of time and dynamicity of nature, two significant elements which are often overlooked in modeling process to avoid exponential computations.

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Dynamics of Mathematical Models in Biology Bringing Mathematics to Life

Dynamics of Mathematical Models in Biology

Alessandra Rogato • Valeria Zazzu Mario Guarracino Editors

Dynamics of Mathematical Models in Biology Bringing Mathematics to Life

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Editors Alessandra Rogato National Research Council Institute of Biosciences and Bioresources Naples, Italy

Valeria Zazzu National Research Council Institute of Genetics and Biophysics, ABT Naples, Italy

Integrative Marine Ecology Stazione Zoologica Anton Dohrn Napoli, Italy Mario Guarracino Laboratory for Genomics, Transcriptomics and Proteomics (Lab-GTP) High Performance Computing and Networking Institute (ICAR) National Research Council (CNR) Naples, Italy

ISBN 978-3-319-45722-2 ISBN 978-3-319-45723-9 (eBook) DOI 10.1007/978-3-319-45723-9 Library of Congress Control Number: 2016955240 Mathematics Subject Classification (2010): 00B15 92B05 © Springer International Publishing Switzerland 2016 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. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Preface

Despite Galileo’s claim that mathematics is the language of nature, the two disciplines of mathematics and life sciences had been considered two planets belonging to two very far galaxies which would never meet. The two communities were vastly different and it seemed impossible for them to collaborate. Only recently when life scientists began producing experimental data at an unprecedentedly high pace, did it become clear that mathematical models were necessary to interpret such data and to structure them, with the ultimate goal of unveiling biological mechanisms, to making new discoveries, and to making predictions. There are very few examples of events that bring the two communities together to discuss research questions. For this reason we decided to cr