The Evolution of the Use of Mathematics in Cancer Research
This book is designed for advanced students and researchers pursuing the use of biostatistics and biomathematics in their investigations in biology and medicine in general, and in cancer in particular. Each chapter has been conceived as a part in the whol
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Pedro J. Gutiérrez Diez • Irma H. Russo • Jose Russo
The Evolution of the Use of Mathematics in Cancer Research
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Pedro J. Gutiérrez Diez University of Valladolid Valladolid, Spain [email protected]
Irma H. Russo Fox Chase Cancer Center Philadelphia, PA 19111, USA [email protected]
Jose Russo Fox Chase Cancer Center Philadelphia, PA 19111, USA [email protected]
ISBN 978-1-4614-2396-6 e-ISBN 978-1-4614-2397-3 DOI 10.1007/978-1-4614-2397-3 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2012930389 © Springer Science+Business Media, LLC 2012 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)
To our parents, who through their efforts, lessons and understanding forged in us a sense of accomplishment and greatness. PJGD, IHR, JR. To my wife Araceli, my support, so wonderfully rational, so wonderfully emotive. PJGD To all our trainees and students, from whom we have received more than they ever expected to give us. PJGD, IHR, JR.
Preface
This book provides an exhaustive and clear explanation of how statistics and mathematics have been used in cancer research, and seeks to help advanced students of biostatistics and biomathematics as well as cancer researchers to achieve their objectives. To do so, state-of-the-art biostatistics and biomathematics are described and discussed in detail through illustrative and capital examples taken from cancer research work already published. The crossed examination of the statistical, mathematical and computational issues arising from the selected examples redounds to a didactic, homogeneous and unified vision of the application of statistics and mathematics in biomedicine, especially to the study of cancer, and illustrates the capability of these logical sciences in biomedical research. As a result, the book provides a guide for cancer researchers in using statistics and mathematics, clarifying the contribution of these logical
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