Optimization approaches to volumetric modulated arc therapy planning

J Unkelbach, T Bortfeld, D Craft, M Alber… - Medical …, 2015 - Wiley Online Library
Volumetric modulated arc therapy (VMAT) has found widespread clinical application in
recent years. A large number of treatment planning studies have evaluated the potential for …

[PDF][PDF] A tutorial guide to mixed-integer programming models and solution techniques

JC Smith, ZC Taskin - Optimization in medicine and biology, 2008 - Citeseer
Mixed-integer programming theory provides a mechanism for optimizing decisions that take
place in complex systems, including those encountered in biology and medicine. This …

Approximating convex Pareto surfaces in multiobjective radiotherapy planning

DL Craft, TF Halabi, HA Shih, TR Bortfeld - Medical physics, 2006 - Wiley Online Library
Radiotherapy planning involves inherent tradeoffs: the primary mission, to treat the tumor
with a high, uniform dose, is in conflict with normal tissue sparing. We seek to understand …

A column generation approach to radiation therapy treatment planning using aperture modulation

HE Romeijn, RK Ahuja, JF Dempsey, A Kumar - SIAM Journal on Optimization, 2005 - SIAM
This paper considers the problem of radiation therapy treatment planning for cancer
patients. During radiation therapy, beams of radiation pass through a patient. This radiation …

A new linear programming approach to radiation therapy treatment planning problems

HE Romeijn, RK Ahuja, JF Dempsey… - Operations …, 2006 - pubsonline.informs.org
We consider the problem of radiation therapy treatment planning for cancer patients. During
radiation therapy, beams of radiation pass through a patient, killing both cancerous and …

A unifying framework for multi-criteria fluence map optimization models

HE Romeijn, JF Dempsey, JG Li - Physics in Medicine & Biology, 2004 - iopscience.iop.org
Abstract Models for finding treatment plans for intensity modulated radiation therapy are
usually based on a number of structure-based treatment plan evaluation criteria, which are …

A novel linear programming approach to fluence map optimization for intensity modulated radiation therapy treatment planning

HE Romeijn, RK Ahuja, JF Dempsey… - Physics in Medicine & …, 2003 - iopscience.iop.org
We present a novel linear programming (LP) based approach for efficiently solving the
intensity modulated radiation therapy (IMRT) fluence-map optimization (FMO) problem to …

Generalized inverse multiobjective optimization with application to cancer therapy

TCY Chan, T Craig, T Lee… - Operations …, 2014 - pubsonline.informs.org
We generalize the standard method of solving inverse optimization problems to allow for the
solution of inverse problems that would otherwise be ill posed or infeasible. In multiobjective …

Systems and methods for global optimization of treatment planning for external beam radiation therapy

EK Lee - US Patent 7,046,762, 2006 - Google Patents
Abstract Systems and methods for providing an optimal treatment plan for delivering a
prescribed radiation dose to a predefined target volume within a patient using an external …

Markov decision processes for screening and treatment of chronic diseases

LN Steimle, BT Denton - Markov Decision Processes in Practice, 2017 - Springer
In recent years, Markov decision processes (MDPs) and partially observable Markov
decision processes (POMDPs) have found important applications to medical decision …