Discrete Mathematical Problems with Medical Applications: DIMACS Workshop Discrete Mathematical Problems with Medical Applications, December 8-10, 1999, DIMACS Center

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Dingzhu Du, Panos M. Pardalos, Jie Wang
American Mathematical Soc., Jan 1, 2000 - Mathematics - 219 pages
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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.
 

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Contents

A model for learning human vascular anatomy
11
Optimization of gamma knife radiosurgery
27
Sphere packing using morphological analysis
45
Analysis of magnetic resonance angiography images using skeletonzation
75
Computing medial surfaces
91
A mixed variable optimization approach to nonrigid image registration
105
On computing the nearest neighbor interchange distance
125
Twostage group testing for complexes in the presence of errors
145
On the perfectness of tagged probe interval graphs
159
A survey on combinatorial group testing algorithms with applications
171
Medical applications of discrete tomography
195
Open Problems
208
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