English
Related papers

Related papers: Mathematical optimization of treatment schedules

200 papers

This paper deals with the classic radiotherapy dose fractionation problem for cancer tumors concerning the following goals: a) To maximize the effect of radiation on the tumor, restricting the effect produced to the organs at risk (healing…

Optimization and Control · Mathematics 2021-02-17 Luis Alberto Fernández , Lucía Fernández

Modern external beam cancer radiotherapy applies prescribed radiation doses to tumor targets while minimally affecting nearby vulnerable organs-at-risk (OARs). Creating a treatment plan is difficult and time-consuming with no guarantee of…

Medical Physics · Physics 2021-07-07 Lyndon Hibbard

Adaptive therapy is a dynamic cancer treatment protocol that updates (or "adapts") treatment decisions in anticipation of evolving tumor dynamics. This broad term encompasses many possible dynamic treatment protocols of patient-specific…

Markov Decision Processes and Dynamic Treatment Regimes have grown increasingly popular in the treatment of diseases, including cancer. However, cancer treatment often impacts quality of life drastically, and people often fail to take…

Applications · Statistics 2020-12-01 Navonil Deb , Abhinandan Dalal , Gopal Krishna Basak

Among the genetic algorithms generally used for optimization problems in the recent decades, quantum-inspired variants are known for fast and high-fitness convergence and small resource requirement. Here the application to the patient…

Neural and Evolutionary Computing · Computer Science 2025-06-06 Akira SaiToh , Arezoo Modiri , Amit Sawant , Robabeh Rahimi

Radiotherapy dosimetry plays a crucial role in optimizing treatment plans for cancer patients. In this study, we investigate the performance of a dozen standard state-of-the-art open-source optimizers for radiotherapy dosimetry. Our…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Paul Dubois

The purpose of this study is to examine in a clinical setting a novel formulation of objective functions for intensity-modulated radiotherapy treatment plan multicriteria optimization (MCO) that we suggested in a recent study. The proposed…

Optimization and Control · Mathematics 2018-10-24 Lovisa Engberg , Kjell Eriksson , Anders Forsgren

The authors propose robust adaptive strategies based on stochastic minimax optimization for a series of simulated treatments on a one-dimensional patient phantom. The plan applied during the first fractions should be able to handle…

Optimization and Control · Mathematics 2018-10-01 Michelle Böck , Anders Forsgren , Kjell Eriksson , Björn Hårdemark

Objective: Machine learning (ML) based radiation treatment (RT) planning addresses the iterative and time-consuming nature of conventional inverse planning. Given the rising importance of Magnetic resonance (MR) only treatment planning…

Medical Physics · Physics 2022-06-13 Aly Khalifa , Jeff Winter , Inmaculada Navarro , Chris McIntosh , Thomas G. Purdie

In this paper knowledge based planning has been revolutionized via a novel mathematical model which converts three dimensional dose distribution (3D3) prediction to a clinical utilizable IMRT treatment plan. Presented model has benefited…

Optimization and Control · Mathematics 2022-06-14 Ali Yousefi , Saeedeh Ketabi , Iraj Abedi

Interfractional geometric uncertainties can lead to deviations of the actual delivered dose from the prescribed dose distribution. To better handle these uncertainties during treatment, the authors propose a dynamic framework for robust…

Medical Physics · Physics 2019-05-16 Michelle Böck , Kjell Eriksson , Anders Forsgren

Current radiation therapy treatment planning is limited by suboptimal plan quality, inefficiency, and high costs. This perspective paper explores the complexity of treatment planning and introduces Human-Centric Intelligent Treatment…

Medical Physics · Physics 2025-10-16 Adnan Jafar , Xun Jia

he segment minimization problem consists of finding the smallest set of integer matrices that sum to a given intensity matrix, such that each summand has only one non-zero value, and the non-zeroes in each row are consecutive. This has…

Data Structures and Algorithms · Computer Science 2011-09-27 Therese Biedl , Stephane Durocher , Holger H. Hoos , Shuang Luan , Jared Saia , Maxwell Young

In this paper, the tools provided by the theory of Optimal Experimental Design are applied to a nonlinear calibration model. This is motivated by the need of estimating radiation doses using radiochromic films for radiotherapy purposes. The…

Applications · Statistics 2020-05-20 Jesús López-Fidalgo , Mariano Amo-Salas

Radiotherapy is one of the main methods in the successful treatment of cancer. The tumor is irradiated with photons or charged particles (e.g. protons), and in the case of massive charged particles, the treatment results in less unnecessary…

Medical Physics · Physics 2019-03-20 Monika Varga-Kofarago

Optimal transport has been one of the most exciting subjects in mathematics, starting from the 18th century. As a powerful tool to transport between two probability measures, optimal transport methods have been reinvigorated nowadays in a…

Machine Learning · Statistics 2021-05-21 Jingyi Zhang , Wenxuan Zhong , Ping Ma

Chemotherapy appointment scheduling is a challenging problem due to the uncertainty in pre-medication and infusion durations. In this paper, we formulate a two-stage stochastic mixed integer programming model for the chemotherapy…

Optimization and Control · Mathematics 2021-01-20 Nur Banu Demir , Serhat Gul , Melih Celik

Spatiotemporal fractionation schemes, that is, treatments delivering different dose distributions in different fractions, may lower treatment side effects without compromising tumor control. This is achieved by hypofractionating parts of…

Medical Physics · Physics 2018-02-14 Melissa R. Gaddy , Sercan Yıldız , Jan Unkelbach , Dávid Papp

In oncology, treating cancer with a beam of photons is a well established therapeutic technique, developed over 100 years, and today over 50% of cancer patients will undergo traditional X-ray radiotherapy. However, ionizing radiation…

Medical Physics · Physics 2016-02-08 Mersini Makropoulou

In the treatment plan optimization for intensity modulated radiation therapy (IMRT), dose-deposition coefficient (DDC) matrix is often pre-computed to parameterize the dose contribution to each voxel in the volume of interest from each…

Medical Physics · Physics 2013-03-15 Zhen Tian , Masoud Zarepisheh , Xun Jia , Steve B. Jiang
‹ Prev 1 4 5 6 7 8 10 Next ›