Mathematical Models and Immune Cell Biology
Mathematical immunology is in a period of rapid expansion and excitement. At recent meetings, a common language and research direction has emerged amongst a world-class group of scientists and mathematicians. Mathematical Models and Immune Cell Biology ai
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Carmen Molina-Par´ıs
Grant Lythe
Editors
Mathematical Models and Immune Cell Biology
ABC
Editors Carmen Molina-Par´ıs Department of Applied Mathematics School of Mathematics University of Leeds Woodhouse Lane LS2 9JT Leeds, UK [email protected]
Grant Lythe Department of Applied Mathematics School of Mathematics University of Leeds Woodhouse Lane LS2 9JT Leeds, UK [email protected]
ISBN 978-1-4419-7724-3 e-ISBN 978-1-4419-7725-0 DOI 10.1007/978-1-4419-7725-0 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2011926883 c Springer Science+Business Media, LLC 2011 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. While the advice and information in this book are believed to be true and accurate at the date of going to press, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
a nuestros hijos, Federico y Sof´ıa
Preface
The new experimental and imaging techniques of the past few decades allow us to observe, study and ponder the world of cells and molecules inside our bodies, stimulating the development of new mathematics and putting a new perspective on our view of our own world. Whole new areas of immunological research are emerging from the analysis of experimental data, going beyond statistics and parameter estimation into what an applied mathematician would recognise as modelling of dynamical systems. Stochastic methods are increasingly important, because stochastic models are closer to the Brownian reality of the cellular and sub-cellular world. This volume contains chapters on mathematical modelling, on immunology, and on mathematical modelling in immunology. Although there is a bias towards the adaptive immune system, and towards T cells in particular, the reader will find Chapters on dendritic cells, B cells and germinal centres. We hope the list of abbreviations will help to indicate the type of research that is being carried out at the interface of mathematics and immunology. This book would not have been possible without the passion and perseverance of Joseph Burns. We are extremely grateful for the supp
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