Current Developments In Mathematical Biology: Proceedings Of The Conference On Mathematical Biology And Dynamical Systems, The University Of Texas At Tyler, ... 2005 (series On Knots And Everything)

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This volume is a collection of papers on various areas of current interest in mathematical biology, such as epidemic disease modeling, including the effects of vaccination and strain replacement; immunology, such as T-Cell dynamics and the mechanism of phagocytosis; knot theory; DNA computation; and Boolean networks.

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CURRENT CURRENT DEVELOPMENTS DEVELOPMENTS INMATHEMATICAL BIOLOGY MATHEMATICAL BIOLOGY Proceedings of the Conference on Mathematical Biology and Dynamical Systems This page intentionally left blank K e Series on Knots and Everything — Vol. 38 CURRENT DEVELOPMENTS IN MATHEMATICAL BIOLOGY Proceedings of the Conference on Mathematical Biology and Dynamical Systems The University of Texas at Tyler 7 – 9 October 2005 Editors Kazem Mahdavi, Rebecca Culshaw & John Boucher The University of Texas at Tyler, USA World Scientific NEW JERSEY . LONDON . SINGAPORE . BEIJING . SHANGHAI . HONG KONG . TAIPEI . CHENNAI Published by World Scientific Publishing Co. Pte. Ltd. 5 Toh Tuck Link, Singapore 596224 USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. Series on Knots and Everything — Vol. 38 CURRENT DEVELOPMENTS IN MATHEMATICAL BIOLOGY Proceedings of the Conference on Mathematical Biology and Dynamical Systems Copyright © 2007 by World Scientific Publishing Co. Pte. Ltd. All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. ISBN-13 978-981-270-015-5 ISBN-10 981-270-015-3 Typeset by Stallion Press Email: [email protected] Printed in Singapore. December 21, 2006 18:13 B-455 Current Developments in Mathematical Biology Trim Size: 9in x 6in INTRODUCTION This volume is the Proceedings of the Conference on Mathematical Biology and Dynamical Systems that was held at The University of Texas at Tyler, October 7–9, 2005. The aim of this conference was to bring together a group of established and up-and-coming researchers from a diverse range of topics in Mathematical, Computational and Theoretical Biology, to share their latest results in a setting that would encourage informal discussion of future research directions. The conference also provided an opportunity for young researchers and graduate students to interact with top researchers and to be exposed to the very latest areas of research. There were twelve one-hour plenary talks during the two and a half days that the conference ran. The subjects covered truly reflected the wide spectrum of Mathematical and Theoretical Biology, and researchers came from campuses from all over the United States, from the University of Florida to Cornell University in New York, to The Utah State University. Talks covered subjects as wide-ranging as predator-prey models in the chemostat, using DNA as a computational tool, immunology and T-cell dynamics, and evolutionary dynamics. This proceedings contains eight papers by eight different authors and covers articles with applications to immunology, ecology, computation and more. The Conference