Numerical and Statistical Methods for Bioengineering: Applications in MATLAB

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Cambridge University Press, Nov 4, 2010 - Technology & Engineering - 594 pages
The first MATLAB-based numerical methods textbook for bioengineers that uniquely integrates modelling concepts with statistical analysis, while maintaining a focus on enabling the user to report the error or uncertainty in their result. Between traditional numerical method topics of linear modelling concepts, nonlinear root finding, and numerical integration, chapters on hypothesis testing, data regression and probability are interweaved. A unique feature of the book is the inclusion of examples from clinical trials and bioinformatics, which are not found in other numerical methods textbooks for engineers. With a wealth of biomedical engineering examples, case studies on topical biomedical research, and the inclusion of end of chapter problems, this is a perfect core text for a one-semester undergraduate course.

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1 Types and sources of numerical error
2 Systems of linear equations
3 Probability and statistics
4Hypothesis testing
5 Rootfinding techniques for nonlinear equations
6 Numerical quadrature
7 Numerical integration of ordinary differential equations
8 Nonlinear model regression and optimization
9 Basic algorithms of bioinformatics
Appendix AIntroduction to MATLAB
Appendix B Location of nodes for GaussLegendre quadrature
Index for MATLAB commands

Common terms and phrases

About the author (2010)

Michael R. King is an Associate Professor of Biomedical Engineering at Cornell University. He is an expert on the receptor-mediated adhesion of circulating cells, and has developed new computational and in vitro models to study the function of leukocytes, platelets, stem and cancer cells under flow. He has co-authored two books and received numerous awards, including the 2008 ICNMM Outstanding Researcher Award from the American Society of Mechanical Engineers and received the 2009 Outstanding Contribution for a Publication in the international journal Clinical Chemistry.

Nipa A. Mody is currently a postdoctoral research associate at Cornell University in the Department of Biomedical Engineering. She received her Ph.D. in Chemical Engineering from the University of Rochester in 2008 and has received a number of awards including a Ruth L. Kirschstein National Research Service Award (NRSA) from the NIH in 2005 and the Edward Peck Curtis Award for Excellence in Teaching from the University of Rochester in 2004.

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