The Evolution of the Use of Mathematics in Cancer Research, medyczne- książki j ang
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The Evolution of the Use of Mathematics
in Cancer Research
Pedro J. Gutiérrez Diez Irma H. Russo Jose Russo
The Evolution of the Use
of Mathematics in Cancer
Research
2123
Pedro J. Gutiérrez Diez
Irma H. Russo
University of Valladolid
Fox Chase Cancer Center
Valladolid, Spain
Philadelphia, PA 19111, USA
pedrojos@fae.uva.es
irma.russo@fccc.edu
Jose Russo
Fox Chase Cancer Center
Philadelphia, PA 19111, USA
jose.russo@fccc.edu
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
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trade names, trademarks, service marks, and similar terms, even if they are not identied as such, is not
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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 math-
ematics 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, mathe-
matical and computational issues arising from the selected examples redounds to a
didactic, homogeneous and unied vision of the application of statistics and mathe-
matics 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 con-
tribution of these logical sciences to the study of cancer, thoroughly explaining their
procedures and methods, and providing criteria to their appropriate use.
Indeed, this book is designed for advanced students and researchers pursuing the
use of biostatistics and biomathematics in their investigations and research in biology
and medicine in general, and in cancer in particular. The main virtue of the book is
the follow-through that is available by reading the different examples, in a relevant
and timely reading that facilitates the understanding of the key aspects underlying
the applications of statistics and mathematics in biomedicine, and that provides com-
plete coverage of the most relevant issues in biostatistics and biomathematics. Each
chapter has been conceived as a part in the whole in such a way that information ows
easily, on the one hand explaining in a concise and clear way a particular subject, and
on the other connecting its results with those in the previous and following chapters.
Thanks to the use of selected and relevant examples taken from the scientic liter-
ature on cancer research, the result is a self-contained book on medicine, statistics
and mathematics, which illustrates the potential of biostatistics and biomedicine in
biomedical research. Focusing on the achievements that biostatistics and biomathe-
matics have already obtained, researchers can perceive the high returns that the use
of statistics and mathematics yield in cancer research, and thanks to the detailed
discussion of the applied statistical and mathematical techniques, they can deduce
the criteria and motif for nding the appropriate use of these formal disciplines.
The primary audience of the book is advanced undergraduate students and gradu-
ate students in medicine and biology, and cancer researchers who seek to learn how
statistics and mathematics can help in their future research. We assume no advanced
knowledge of statistics and mathematics beyond the undergraduate level. However,
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