Optimization in Medicine (Springer Optimization and Its Applications Book 12)

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.

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.

Springer Cover 1 Optimization in Medicine 2 Springer Series in Optimization and Its Applications VOLUME 12 3 ISBN 0387732985 5 Preface 6 Contents 8 List of Contributors 9 1 The influence of dose grid resolution on beam selection strategies in radiotherapy treatment design 11 2 Decomposition of matrices and static multileaf collimators: a survey 34 3 Neuro-dynamic programming for fractionated radiotherapy planning 56 4 Randomized algorithms for mixed matching and covering in hypergraphs in 3D seed reconstruction in brachytherapy 80 5 Global optimization and spatial synchronization changes prior to epileptic seizures 112 6 Optimization-based predictive models in medicine and biology 135 7 Optimal reconstruction kernels in medical imaging 160 8 Optimal control in high intensity focused ultrasound surgery 176 ISBN-13:,9780387732985 ISBN-13: 9780387732985 Front Matter....Pages I-X The influence of dose grid resolution on beam selection strategies in radiotherapy treatment design....Pages 1-23 Decomposition of matrices and static multileaf collimators: a survey....Pages 25-46 Neuro-dynamic programming for fractionated radiotherapy planning....Pages 47-70 Randomized algorithms for mixed matching and covering in hypergraphs in 3D seed reconstruction in brachytherapy....Pages 71-102 Global optimization and spatial synchronization changes prior to epileptic seizures....Pages 103-125 Optimization-based predictive models in medicine and biology....Pages 127-151 Optimal reconstruction kernels in medical imaging....Pages 153-168 Optimal control in high intensity focused ultrasound surgery....Pages 169-195