Mary Ann Horn - Mathematical models in medical and health science
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A unique assemblage of cutting-edge research on mathematical models in biology and medicine. This book is composed of refereed and carefully edited research articles derived from the Conference on Mathematical Models in Medical and Health Sciences, held at Vanderbilt University in conjunction with the thirteenth annual Shanks Lectures Series (May 1997).
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Mathematical Models in Medical and Health Science Innovations in Applied Mathematics
author
:
Horn, Mary Ann
publisher
:
Vanderbilt University Press
isbn10 | asin
:
print isbn13
:
9780826513106
ebook isbn13
:
9780585132280
language
:
English
subject
Medical sciences--Research--Mathematical models--Miscellanea, Medicine--Research--Mathematical models--Miscellanea.
publication date
:
1998
lcc
:
R853.M3M3747 1998eb
ddc
:
610/.1/5118
subject
:
Medical sciences--Research--Mathematical models--Miscellanea, Medicine--Research--Mathematical models--Miscellanea.
Page i
Mathematical Models in Medical and Health Science
Page ii
Innovations in Applied Mathematics
An international series devoted to the latest research in modem areas of mathematics, with significant applications in engineering, medicine, and the sciences.
Series Editor: Larry L. Schumaker Stevenson Professor of Mathematics Vanderbilt University
Previously published titles include
Mathematical Methods for Curves and Surfaces (1995)
Mathematical Methods for Curves and Surfaces II (1998)
Curves and Surfaces with Applications in CAGD (1997)
Surface Fitting and Multiresolution Methods (1997)
Page iii
Mathematical Models in Medical and Health Science
Edited by Mary Ann Horn Department of Mathematics Vanderbilt University Gieri Simonett Department of Mathematics Vanderbilt University Glenn F. Webb Department of Mathematics Vanderbilt University
VANDERBILT UNIVERSITY PRESS Nashville & London
Page iv
Copyright 1998 by Vanderbilt University Press
All Rights Reserved No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher.
First Edition 1998 98 99 00 01 02 5 4 3 2 1
This publication is made from paper that meets the minimum requirements of ANSI/NISO Z39.48 (R 1997) Permanence of Paper for Printed Library Materials.
Library of Congress Cataloging-in-Publication Data
Mathematical models in medical and health science / edited by Mary Ann Horn, Gieri Simonett, Glenn F. Webb. 1st ed. p. cm. (Innovations in applied mathematics) Includes bibliographical references and index. ISBN 0-8265-1310-7 (cloth: alk. paper) 1. Medical sciencesResearchMathematical modelsMiscellanea. 2. MedicineResearch Mathematical modelsMiscellanea. I. Horn, Mary Ann, 1965-. II. Simonett, Gieri, 1959-. III. Webb, Glenn F., 1942-. IV. Series. R853.M3M3747 1998 610'. 1'5118dc2198-38746 CIP
Manufactured in the United States of America
Page v
Contents
Preface
vii
Contributors
xi
Cancer Treatment Strategies and Mathematical Modeling
Evans K. Afenya
1
A Flow Reactor with Wall Growth
Mary M. Ballyk and Hal L. Smith
17
Controlling the S-I-S Age-Structured Epidemics
Viorel Barbu and Mimmo Iannelli
29
Cluster Form Analysis Techniques for Diabetic Retinopathy
Michael W. Berry and Dax M. Westerman
35
Tuberculosis: The Evolution of Antibiotic Resistance and the Design of Epidemic Control Strategies
Sally Blower, Travis Porco and Tom Lietman
51
Skew Brownian Motion: A Model for Diffusion with Interfaces?
R. S. Cantrell and C. Cosner
73
Spatio-Temporal Dynamics of the Immune System Response to Cancer
M. A. J. Chaplain, V. A. Kuznetsov, Z. H. James and L. A. Stepanova
79
An Age and Maturity Structured Model of Cell Population Dynamics
Janet Dyson, Rosanna Villella-Bressan and Glenn Webb
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