Optimization in Medicine and Biology: 1st Edition (Hardback) book cover

Optimization in Medicine and Biology

1st Edition

Edited by Gino J. Lim, Eva K. Lee

Auerbach Publications

592 pages | 174 B/W Illus.

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pub: 2008-01-08
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Description

Thanks to recent advancements, optimization is now recognized as a crucial component in research and decision-making across a number of fields. Through optimization, scientists have made tremendous advances in cancer treatment planning, disease control, and drug development, as well as in sequencing DNA, and identifying protein structures.

Optimization in Medicine and Biology provides researchers with a comprehensive, single-source reference that will enable them to apply the very latest optimization techniques to their work. With contributions from pioneering international experts this volume integrates strong foundational theory, good modeling techniques, and efficient and robust algorithms with relevant applications

Divided into two sections, the first begins with mathematical programming techniques for medical decision making processes and demonstrates their application to optimizing pediatric vaccine formularies, kidney paired donation, and the cost-effectiveness of HIV programs. It also presents recent advances in cancer treatment planning models and solution algorithms, including three-dimensional conventional conformal radiation therapy (3DCRT), intensity modulated radiation therapy (IMRT), tomotherapy, and proton therapy.

Part two focuses on optimization in biology and discusses computational algorithms for genomic analysis; probe design and selection, properties of probes, and various algorithms and software packages to aid in probe selection and design. Subsequent chapters introduce a new dihedral angle measure for protein secondary prediction, and an optimization approach for tumor virotherapy with recombinant measles viruses. The editors include a short tutorial appendix on Integer Programming (IP).

Highlighting the most recent advances in optimization techniques for solving complex problems in medical research, this book facilitates strong collaborative environments among optimization researchers and medical professionals for future medical research.

Table of Contents

Medicine

Classification and Disease Prediction via Mathematical Programming, E.K. Lee, T.L. Wu, and J.P. Brooks

Mathematical Programming Approaches

MIP-based Multigroup Classification Models and Applications to Medicine and Biology

Progress and Challenges

Other Methods

Using Influence Diagrams in Cost Effectiveness Analysis for Medical Decisions, R.S. Duriseti

Formalized Decision Making and Quality Metrics

Influence Diagrams in Clinical Cost-Effectiveness Analysis

Model Scope and the Structure of Influence Diagrams:  Implications for Clinical Decision Problems

Introduction to Venous Thromboembolic Disease and the D-dimer Assay

Cost-Effectiveness of Strategies for Diagnosing Pulmonary Embolism: The Recommendation Provided Depends on Model Scope

Non-Bayesian Classification to Obtain High Quality Clinical Decisions, R.S. Duriseti

Asymmetric Cost SVMs for High Risk Clinical Decisions

Clinical Background

Methods

Results

Appendix: The Argument for a Biased Classifier

Optimizing Pediatric Vaccine Formularies, S.N. Hall, S.H. Jacobson, and E.C. Sewell

Models for Optimizing Pediatric Vaccine Formularies

Computational Complexity, Algorithms, and Heuristics

Computational Comparison of Algorithms and Heuristics

Optimal Spending on HIV Prevention and Treatment: A Framework for Evaluating Cost-Effectiveness with Example Application to the India AIDS Initiative, M.L. Brandeau, E.F. Long, D.W. Hutton, and D.K. Owens

Model-Based Framework

Designing an Epidemic Model to Support Cost-Effectiveness Analysis

Example Model: Evaluating the India AIDS Initiative

Developing a Tailored Model

Appendix: Equations of Illustrative Model

Optimization over Graphs for Kidney Paired Donation, S.E. Gentry

Finding Edges

Designing the Objective

Solution Methods

Current Status of Paired Donation

Projecting the Impact of Kidney Paired Donation

Introduction to Radiation Therapy Planning Optimization, G.J. Lim

Applications and Methods

Beam Orientation Optimization Methods in Intensity Modulated Radiation Therapy Treatment Planning, D.M. Aleman, H.E. Romeijn, and J.F. Dempsey

BOO Model

Optimization Methods

Multileaf Collimator Shape Matrix Decomposition, T. Kalinowski

The Mathematical Model

The Decomposition Time Problem

The Decomposition Cardinality Problem

Optimal Planning for Radiation Therapy, M. Langer, R. Rardin, and A. Tuncel

Treatment Planning of Dose Distributions

Treatment Optimization Modeling

Intensity Map Delivery

4-Dimensional and Fractionated Planning

Biology

An Introduction to Systems Biology for Mathematical Programmers, E. Almaas, A. Holder, and K. Livingstone

General Background

Gene Regulatory Networks

Protein Interaction Networks

Metabolic Networks

Systems Biology and Operations Research

Algorithms for Genomics Analysis, E.K. Lee and K. Gupta

Phylogenetic Analysis

Multiple Sequence Alignment

Novel Graph-Theoretical Based Genomic Models

Computational Methods for Probe Design and Selection, C.N. Meneses, P.M. Pardalos, and M.A. Ragle

Applications

Probe Design and Selection

Software

An Implementation of Logical Analysis of Data for Oligo Probe Selection, I.-Y. Jang, K. Kim, and H.S. Ryoo

Proposed Probe Selection Method

in silico Experiments

A New Dihedral Angle Measure for Protein Secondary Prediction, M. Kim, Y. Jang, and J. MacGregor Smith

Problem Background

Mathematical Models

Alanine Dipeptide Results

General Dipeptide Results

Optimization of Tumor Virotherapy with Recombinant Measles Viruses, Z. Bajzer, T. Carr, D. Dingli, and K. Josí

Mathematical Model of Virotherapy

Analysis of Equilibria

Model Validation and Parameter Estimation

Simulations

Combating Microbial Resistance to Antimicrobial Agents through Dosing Regimen Optimization, M. Nikolaou, and V.H. Tam

Antimicrobial Resistance and the Need to Optimize Dosing Regimens

Background

A New Approach to Modeling the Effect of Antimicrobial Agents on Heterogeneous Microbial Populations

Appendix

A Tutorial Guide to Mixed-Integer Programming Models and Solution Techniques, J.C. Smith and Z.C. Táskın

Modeling Principles

MIP Solution Techniques

Example Radiation Therapy Application

About the Series

Engineering and Management Innovation

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
BUS053000
BUSINESS & ECONOMICS / Quality Control
MED009000
MEDICAL / Biotechnology
TEC029000
TECHNOLOGY & ENGINEERING / Operations Research