Optimization in Medicine and Biology

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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.

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Product Details

Table of Contents

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
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
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
Probe Design and Selection
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
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
A New Approach to Modeling the Effect of Antimicrobial Agents on Heterogeneous Microbial Populations
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

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