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Other titles in the Springer Optimization and Its Applications series:

Springer Optimization and Its Applications #12: Optimization in Medicine

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Springer Optimization and Its Applications #12: Optimization in Medicine Cover

 

Synopses & Reviews

Publisher Comments:

Optimization has become an essential tool in addressing the limitation of resources and need for better decision-making in the medical field. Both continuous and discrete mathematical techniques are playing an increasingly important role in understanding several fundamental problems in medicine. This volume presents a wide range of medical applications that can utilize mathematical computing. Examples include using an algorithm for considering the seed reconstruction problem in brachytherapy and using optimization-classification models to assist in the early prediction, diagnosis and detection of diseases. Discrete optimization techniques and measures derived from the theory of nonlinear dynamics, with analysis of multi-electrode electroencephalographic (EEG) data, assist in predicting impending epileptic seizures. Mathematics in medicine can also be found in recent cancer research. Sophisticated mathematical models and optimization algorithms have been used to generate treatment plans for radionuclide implant and external beam radiation therapy. Optimization techniques have also been used to automate the planning process in Gamma Knife treatment, as well as to address a variety of medical image registration problems. This work grew out of a workshop on optimization which was held during the 2005 CIM Thematic Term on Optimization in Coimbra, Portugal. It provides an overview of the state-of-the-art in optimization in medicine and will serve as an excellent reference for researchers in the medical computing community and for those working in applied mathematics and optimization.

Synopsis:

Both continuous and discrete mathematical techniques are playing an increasingly important role in understanding several fundamental problems in medicine. This work provides an overview of the state-of-the-art in optimization in medicine. It will serve as an excellent reference for researchers in the medical computing community and those working in applied mathematics and optimization.

Synopsis:

This volume presents a wide range of medical applications that can utilize mathematical computing. This work grew out of a workshop on optimization which was held during the 2005 CIM Thematic Term on Optimization in Coimbra, Portugal. It provides an overview of the state-of-the-art in optimization in medicine and will serve as an excellent reference for researchers in the medical computing community and for those working in applied mathematics and optimization.

Table of Contents

Introduction.- Randomized Algorithms for Mixed Matching and Covering in Hypergraphs in 3-D Seed Reconstruction in Brachytherapy.- Decomposition of Matrices and Static Multileaf Collimators: A Survey.- The Influence of Dose Grid Resolution on Beam Selection Strategies in Radiotherapy Treatment Design.- Neuro-Dynamic Programming for Fractionated Radiotherapy Programming.- Optimal Control in High Intensity Focused Ultrasound Surgery.- Optimal Reconstruction Kernels in Medical Imaging.- Global Optimization and Spacial Synchronization Changes Prior to Epileptic Seizures.- Optimization-Based Predictive Models in Medicine and Biology.- References.- Index.

Product Details

ISBN:
9781441925176
Author:
Alves, Carlos J. S.
Publisher:
Springer
Author:
Pardalos, Panos M.
Author:
Vicente, Luis Nunes
Location:
New York, NY
Subject:
Linear Programming
Subject:
Calculus of Variations and Optimal Control; Optimization
Subject:
Imaging / Radiology
Subject:
Imaging / Radiology <P>Presents state-of-the-art research in optimization in medicine</P> <P>Discusses a variety of medical topics and mathematical techniques</P> <P>Numerous applications include radiotherapy treatment design, ultrasound surgery, and epil
Subject:
Mathematics-Computer
Subject:
Calculus
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Mathematical optimization
Subject:
Radiology, medical
Copyright:
Edition Description:
Softcover reprint of hardcover 1st ed. 2008
Series:
Springer Optimization and Its Applications
Series Volume:
12
Publication Date:
20101124
Binding:
TRADE PAPER
Language:
English
Pages:
205
Dimensions:
235 x 155 mm 322 gr

Related Subjects

Health and Self-Help » Health and Medicine » Medical Specialties
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Computer

Springer Optimization and Its Applications #12: Optimization in Medicine New Trade Paper
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$180.25 In Stock
Product details 205 pages Springer - English 9781441925176 Reviews:
"Synopsis" by , Both continuous and discrete mathematical techniques are playing an increasingly important role in understanding several fundamental problems in medicine. This work provides an overview of the state-of-the-art in optimization in medicine. It will serve as an excellent reference for researchers in the medical computing community and those working in applied mathematics and optimization.
"Synopsis" by , This volume presents a wide range of medical applications that can utilize mathematical computing. This work grew out of a workshop on optimization which was held during the 2005 CIM Thematic Term on Optimization in Coimbra, Portugal. It provides an overview of the state-of-the-art in optimization in medicine and will serve as an excellent reference for researchers in the medical computing community and for those working in applied mathematics and optimization.
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