Discrete mathematical problems with medical applications : DIMACS workshop discrete mathematical problems with medical applications, December 8-10, 1999, DIMACS Center

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書誌事項

Discrete mathematical problems with medical applications : DIMACS workshop discrete mathematical problems with medical applications, December 8-10, 1999, DIMACS Center

Ding-Zhu Du, Panos M. Pardalos, Jie Wang, editors

(DIMACS series in discrete mathematics and theoretical computer science, v. 55)

American Mathematical Society, c2000

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Includes bibliographical references

内容説明・目次

内容説明

This volume presents selected papers from a three-day workshop held during the DIMACS special years on Mathematical Support for Molecular Biology. Participants from the world over attended, giving the workshop an important international component. The study of discrete mathematics and optimization with medical applications is emerging as an important new research area. Significant applications have been found in medical research, for example in radiosurgical treatment planning, virtual endoscopy, and more. This volume presents a substantive cross-section of active research topics ranging from medical imaging to human anatomy modeling, from gamma knife treatment planning to radiation therapy, and from epileptic seizures to DNA screening. This book is an up-to-date resource reflecting current research directions.

目次

Breast cancer survival and chemotherapy: A support vector machine analysis by Y.-J. Lee, O. L. Mangasarian, and W. H. Wolberg A model for learning human vascular anatomy by P. Hall Optimization of gamma knife radiosurgery by M. C. Ferris and D. M. Shepard Sphere packing using morphological analysis by Q. J. Wu Transition to epileptic seizures: Optimization by L. D. Iasemidis, D.-S. Shiau, J. C. Sackellares, and P. Pardalos Analysis of magnetic resonance angiography images using skeletonization and distance transforms by I. Nystrom and O. Smedby Computing medial surfaces by S. Bouix and K. Siddiqi A mixed variable optimization approach to non-rigid image registration by A. Rangarajan and H. Chui On computing the nearest neighbor interchange distance by B. DasGupta, X. He, T. Jiang, M. Li, J. Tromp, and L. Zhang Two-stage group testing for complexes in the presence of errors by A. J. Macula, D. C. Tomey, and P. A. Vilenkin On the perfectness of tagged probe interval graphs by L. Sheng, C. Wang, and P. Zhang Frequent sets in the presence of clones: An example from medical surveillance by S. E. Brossette and A. P. Sprague A survey on combinatorial group testing algorithms with applications to DNA Library Screening by H. Q. Ngo and D.-Z. Du Optimization problems in 3D conformal radiation therapy by Q. J. Wu, J. Wang, and C. H. Sibata Medical applications of discrete tomography by A. Kuba, G. T. Herman, S. Matej, and A. Todd-Pokropek A study of 3D imaging approaches in medicine by J. K. Udupa Discrete mathematics in medical imaging: A personal view by P. Hall.

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