Mathematical methods for analysis of a complex disease
 Author/Creator
 Hoppensteadt, Frank C. (Frank Charles), 1938
 Language
 English.
 Imprint
 New York : Courant Institute of Mathematical Sciences ; Providence, R.I. : American Mathematical Society, c2011.
 Physical description
 xi, 149 p. : ill. ; 26 cm.
 Series
 Courant lecture notes in mathematics ; 22.
Access
Available online

Stacks

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QH323.5 .H669 2011

Unknown
QH323.5 .H669 2011
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Contributors
 Contributor
 Courant Institute of Mathematical Sciences.
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Publisher's Summary
 Complex diseases involve most aspects of population biology, including genetics, demographics, epidemiology, and ecology. Mathematical methods, including differential, difference, and integral equations, numerical analysis, and random processes, have been used effectively in all of these areas. The aim of this book is to provide sufficient background in such mathematical and computational methods to enable the reader to better understand complex systems in biology, medicine, and the life sciences. It introduces concepts in mathematics to study population phenomena with the goal of describing complicated aspects of a disease, such as malaria, involving several species. The book is based on a graduate course in computational biology and applied mathematics taught at the Courant Institute of Mathematical Sciences in fall 2010. The mathematical level is kept to essentially advanced undergraduate mathematics, and the results in the book are intended to provide readers with tools for performing more indepth analysis of population phenomena.
(source: Nielsen Book Data)
Subjects
 Subject
 Biomathematics.
 Epidemiology > Mathematical models.
 Partial differential equations  Equations of mathematical physics and other areas of application  PDEs in connection with biology and other natural sciences.
 Dynamical systems and ergodic theory  Applications  Dynamical systems in biology.
 Functional analysis  Miscellaneous applications of functional analysis  Applications in biology and other sciences.
 Statistics  Applications  Applications to biology and medical sciences.
 Biology and other natural sciences  Mathematical biology in general  General biology and biomathematics.
 Biology and other natural sciences  Physiological, cellular and medical topics  Systems biology, networks.
 Mathematics education  Mathematical modeling, applications of mathematics  Biology, chemistry, medicine.
 Biology and other natural sciences  Physiological, cellular and medical topics  Medical epidemiology.
 Biology and other natural sciences  Genetics and population dynamics  Epidemiology.
 General  General and miscellaneous specific topics  General methods of simulation.
 Ordinary differential equations  Functionaldifferential and differentialdifference equations  Qualitative investigation and simulation of models.
 Numerical analysis  Probabilistic methods, simulation and stochastic differential equations  Probabilistic methods, simulation and stochastic differential equations.
 Ordinary differential equations  General theory  Nonlinear equations and systems, general.
 Ordinary differential equations  Qualitative theory  Complex behavior, chaotic systems.
 Partial differential equations  Equations of mathematical physics and other areas of application  PDEs in connection with mechanics of particles and systems.
 Integral equations  Nonlinear integral equations  Systems of nonlinear integral equations.
 Operator theory  Miscellaneous applications of operator theory  Applications in systems theory, circuits, and control theory.
Bibliographic information
 Publication date
 2011
 Responsibility
 Frank C. Hoppensteadt.
 Series
 Courant lecture notes in mathematics ; 22
 ISBN
 9780821872864 (alk. paper)
 0821872869 (alk. paper)