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Discrete Mathematical Problems with Medical Applications
 
Edited by: Ding-Zhu Du University of Minnesota, Minneapolis, Minneapolis, MN
Panos M. Pardalos University of Florida, Gainesville, FL
Jie Wang University of North Carolina, Greensboro, NC
A co-publication of the AMS and DIMACS
Front Cover for Discrete Mathematical Problems with Medical Applications
Available Formats:
Hardcover ISBN: 978-0-8218-2096-4
Product Code: DIMACS/55
List Price: $90.00
MAA Member Price: $81.00
AMS Member Price: $72.00
Electronic ISBN: 978-1-4704-4013-8
Product Code: DIMACS/55.E
List Price: $84.00
MAA Member Price: $75.60
AMS Member Price: $67.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Front Cover for Discrete Mathematical Problems with Medical Applications
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  • Front Cover for Discrete Mathematical Problems with Medical Applications
  • Back Cover for Discrete Mathematical Problems with Medical Applications
Discrete Mathematical Problems with Medical Applications
Edited by: Ding-Zhu Du University of Minnesota, Minneapolis, Minneapolis, MN
Panos M. Pardalos University of Florida, Gainesville, FL
Jie Wang University of North Carolina, Greensboro, NC
A co-publication of the AMS and DIMACS
Available Formats:
Hardcover ISBN:  978-0-8218-2096-4
Product Code:  DIMACS/55
List Price: $90.00
MAA Member Price: $81.00
AMS Member Price: $72.00
Electronic ISBN:  978-1-4704-4013-8
Product Code:  DIMACS/55.E
List Price: $84.00
MAA Member Price: $75.60
AMS Member Price: $67.20
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
  • Book Details
     
     
    DIMACS - Series in Discrete Mathematics and Theoretical Computer Science
    Volume: 552000; 219 pp
    MSC: Primary 68; 62; 92; 52; 05;

    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.

    Readership

    Graduate students and research mathematicians interested in computer science, discrete mathematics, and image processing.

  • Table of Contents
     
     
    • Chapters
    • Breast cancer survival and chemotherapy: A support vector machine analysis
    • A model for learning human vascular anatomy
    • Optimization of gamma knife radiosurgery
    • Sphere packing using morphological analysis
    • Transition to epileptic seizures: Optimization
    • Analysis of magnetic resonance angiography images using skeletonization and distance transforms
    • Computing medial surfaces
    • A mixed variable optimization approach to non-rigid image registration
    • On computing the nearest neighbor interchange distance
    • Two-stage group testing for complexes in the presence of errors
    • On the perfectness of tagged probe interval graphs
    • Frequent sets in the presence of clones: An example from medical surveillance
    • A survey on combinatorial group testing algorithms with applications to DNA Library Screening
    • Optimization problems in 3D conformal radiation therapy
    • Medical applications of discrete tomography
    • A study of 3D imaging approaches in medicine
    • Discrete mathematics in medical imaging: A personal view
  • Request Review Copy
Volume: 552000; 219 pp
MSC: Primary 68; 62; 92; 52; 05;

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.

Readership

Graduate students and research mathematicians interested in computer science, discrete mathematics, and image processing.

  • Chapters
  • Breast cancer survival and chemotherapy: A support vector machine analysis
  • A model for learning human vascular anatomy
  • Optimization of gamma knife radiosurgery
  • Sphere packing using morphological analysis
  • Transition to epileptic seizures: Optimization
  • Analysis of magnetic resonance angiography images using skeletonization and distance transforms
  • Computing medial surfaces
  • A mixed variable optimization approach to non-rigid image registration
  • On computing the nearest neighbor interchange distance
  • Two-stage group testing for complexes in the presence of errors
  • On the perfectness of tagged probe interval graphs
  • Frequent sets in the presence of clones: An example from medical surveillance
  • A survey on combinatorial group testing algorithms with applications to DNA Library Screening
  • Optimization problems in 3D conformal radiation therapy
  • Medical applications of discrete tomography
  • A study of 3D imaging approaches in medicine
  • Discrete mathematics in medical imaging: A personal view
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