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. Presents state-of-the-art research in optimization in medicine. Discusses a variety of medical topics and mathematical techniques. Numerous applications include radiotherapy treatment design, ultrasound surgery, and epileptic seizures. No directly competitive literature INDICE: Introduction. Randomized Algorithms for Mixed Matching and Covering in Hypergraphs in 3-D Seed Reconstruction in Brachytherapy. Decomposition ofMatrices 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.
- ISBN: 978-0-387-73298-5
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 215
- Fecha Publicación: 01/02/2008
- Nº Volúmenes: 1
- Idioma: Inglés