Applied Mathematics For The Analysis Of Biomedical Data: Models, Methods, And Matlab (R)

A practical guide to the analysis of models in mathematical biology and the biomedical sciences, this book utilizes MATLAB^® to investigate the methodology for collecting, visualizing, and analyzing experimental and real-life data from the biological sciences. This book includes numerous interesting and practical examples of complicated models described with differential equations, i.e. SEIR epidemic models, HIV models, etc. and illustrates the methods used to estimate parameters of a mathematical model using deterministic and probabilistic methods and techniques. As co-creator of the MATLAB Symbolic Math Toolbox, the author draws on his professional experience to present unique examples and case studies that provide detailed insights into biological systems as well as the possible problems that can arise. These real-world examples illustrate ideal processing procedures to combine data, mathematical models, and software in order to explore how linking mathematical methods can be used in real-world model problem solving. The combination of ready-to-use MATLAB script and practical tips amplify the book's technical merit and relevance to industry professionals, which is a feature often omitted from literature in mathematical biology and biomedical sciences. This book also provides readers with a better understanding of how to program in MATLAB without having to understand the underlying mathematical rigor, which allows for an accessible treatment for readers with varied backgrounds. Since the focus is primarily on real computational procedures rather than on the mathematical theory of data-related mathematical biology, this book includes a streamlined framework for developing mathematical models, algorithms, and the corresponding computer code and is particularly useful for readers who are not mathematically sophisticated. The author organizes topics in a very straightforward and condensed manner and presents chapter coverage by mathematical relatedness with a unique combination of advanced topics with examples.

PETER J. COSTA, PhD, is Senior Applied Mathematician at Hologic Incorporated in Marlborough, MA. Dr. Costa is the co-creator of MATLAB's Symbolic Math Toolbox. He has developed mathematical models for the spread of HIV, the outbreak of AIDS, the transmission of an infectious respiratory disease throughout a population, and the diagnosis of cervical cancer. His research interests include scientific computing and mathematical biology. He received a PhD in Applied Mathematics from the University of Massachusetts at Amherst.