Optimal Control Applied to Biological Models
From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions. Optimal Control Applied to Biological Models thoroughly develops the mathematical aspects of optimal control theory and provides insight into the application of this theory to biological models.
Focusing on mathematical concepts, the book first examines the most basic problem for continuous time ordinary differential equations (ODEs) before discussing more complicated problems, such as variations of the initial conditions, imposed bounds on the control, multiple states and controls, linear dependence on the control, and free terminal time. In addition, the authors introduce the optimal control of discrete systems and of partial differential equations (PDEs). Featuring a user-friendly interface, the book contains fourteen interactive sections of various applications, including immunology and epidemic disease models, management decisions in harvesting, and resource allocation models. It also develops the underlying numerical methods of the applications and includes the MATLAB(R) codes on which the applications are based. Requiring only basic knowledge of multivariable calculus, simple ODEs, and mathematical models, this text shows how to adjust controls in biological systems in order to achieve proper outcomes.Format:Hardcover
Language:English
ISBN:1584886404
ISBN13:9781584886402
Release Date:May 2007
Publisher:CRC Press
Length:274 Pages
Weight:1.15 lbs.
Dimensions:0.8" x 6.4" x 9.5"
Customer Reviews
1 rating
Excellent and Useful
Published by Thriftbooks.com User , 17 years ago
This is an excellent introductory book on optimal control applied to biological models. It covers a variety of topics including optimal control on ODEs, PDEs and discrete system. The 14 Labs with Matlab codes with user-friendly interface provided on the web offer a good resource to manipulate and learn the materials. The last chapter about other approaches and extensions opens a new horizon.
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