English
Related papers

Related papers: Robust and probabilistic optimization of dose sche…

200 papers

In this work, we study a single-machine scheduling problem that aims at minimizing the total cost of a schedule subject to start-time dependent costs. This framework naturally captures scenarios where costs fluctuate throughout the day,…

Optimization and Control · Mathematics 2026-04-17 Sofía Rodríguez-Ballesteros , Javier Alcaraz , Laura Anton-Sanchez , Marc Goerigk , Dorothee Henke

A dynamic treatment regime is a sequence of medical decisions that adapts to the evolving clinical status of a patient over time. To facilitate personalized care, it is crucial to assess the probability of each available treatment option…

Methodology · Statistics 2024-11-05 Jiefeng Bi , Matteo Borrotti , Bernardo Nipoti

In radiotherapy, the internal movement of organs between treatment sessions causes errors in the final radiation dose delivery. Motion models can be used to simulate motion patterns and assess anatomical robustness before delivery.…

When optimizing problems with uncertain parameter values in a linear objective, decision-focused learning enables end-to-end learning of these values. We are interested in a stochastic scheduling problem, in which processing times are…

Machine Learning · Computer Science 2024-08-16 Kim van den Houten , David M. J. Tax , Esteban Freydell , Mathijs de Weerdt

In a previous work, we presented a model that integrates cancer cell differentiation and immunotherapy, analysing a particular therapy against cancer stem cells by cytotoxic cell vaccines. As every biological system is exposed to random…

Biological Physics · Physics 2022-12-14 Marcela Reale , David Margarit , Ariel Scagliotti , Lilia Romanelli

Many practical optimization problems involve uncertain parameters that are strictly positive. However, the most common uncertainty sets used in robust optimization are the box and the ellipsoidal sets, which may include non-positive values…

Optimization and Control · Mathematics 2026-04-29 Tatsuya Tanaka , Huimin Li , Shota Yamanaka , Ellen H. Fukuda , Nobuo Yamashita

In this paper, we solve the multiple product price optimization problem under interval uncertainties of the price sensitivity parameters in the demand function. The objective of the price optimization problem is to maximize the overall…

Optimization and Control · Mathematics 2021-07-01 Mahdi Hamzeei , Alvin Lim , Jiefeng Xu

Intensity modulated proton therapy (IMPT) provides highly conformal dose distributions through the application of multiple, angularly spaced fields, each applying an ad-hoc pattern of spatially varying particle fluences. In particular,…

Medical Physics · Physics 2017-03-10 F. Arcadu

Phase I dose escalation trials in oncology generally aim to find the maximum tolerated dose (MTD). However, with the advent of molecular targeted therapies and antibody drug conjugates, dose limiting toxicities are less frequently observed,…

Methodology · Statistics 2025-08-19 Ayon Mukherjee , Jonathan L. Moscovici , Zheng Liu

Volumetric modulated arc therapy planning is a challenging problem in high-dimensional, non-convex optimization. Traditionally, heuristics such as fluence-map-optimization-informed segment initialization use locally optimal solutions to…

Machine Learning · Computer Science 2021-11-17 Noah Bice , Mohamad Fakhreddine , Ruiqi Li , Dan Nguyen , Christopher Kabat , Pamela Myers , Niko Papanikolaou , Neil Kirby

Purpose: Radiation therapy treatment planning is a trial-and-error, often time-consuming process. An optimal dose distribution based on a specific anatomy can be predicted by pre-trained deep learning (DL) models. However, dose…

Medical Physics · Physics 2021-09-15 Jianhui Ma , Dan Nguyen , Ti Bai , Michael Folkerts , Xun Jia , Weiguo Lu , Linghong Zhou , Steve Jiang

Conventional beam orientation optimization (BOO) algorithms for IMRT assume that the same set of beam angles is used for all treatment fractions. In this paper we present a BOO formulation based on group sparsity that simultaneously…

Medical Physics · Physics 2018-03-14 Daniel O'Connor , Dan Nguyen , Dan Ruan , Victoria Yu , Ke Sheng

Many drugs used therapeutically or recreationally induce tolerance: the effect of the substance decreases with repeated use. This phenomenon may reduce the efficacy of the substance unless dosage is increased beyond what is healthy for the…

Dynamical Systems · Mathematics 2024-03-19 Golrokh Nouri , Paul Tupper

Contours are used in radiotherapy treatment planning to identify regions to be irradiated with high dose and regions to be spared. Therefore, any contouring uncertainty influences the whole treatment. Even though this is the biggest…

Medical Physics · Physics 2022-04-22 Eliana Vásquez Osorio , Jane Shortall , Jennifer Robbins , Marcel van Herk

Robust optimization (RO) tackles data uncertainty by optimizing for the worst-case scenario of an uncertain parameter and, in its basic form, is sometimes criticized for producing overly-conservative solutions. To reduce the level of…

Optimization and Control · Mathematics 2022-02-21 Milad Dehghani Filabadi , Houra Mahmoudzadeh

Long-term reservoir management often uses bounds on the reservoir level, between which the operator can work. However, these bounds are not always kept up-to-date with the latest knowledge about the reservoir drainage area, and thus become…

Optimization and Control · Mathematics 2018-01-29 Thibaut Cuvelier , Pierre Archambeau , Benjamin Dewals , Quentin Louveaux

In personalized medicine, the ability to predict and optimize treatment outcomes across various time frames is essential. Additionally, the ability to select cost-effective treatments within specific budget constraints is critical. Despite…

Machine Learning · Computer Science 2024-10-14 Thomas Schwarz , Cecilia Casolo , Niki Kilbertus

Background and Purpose: Reirradiation for non-small cell lung cancer (NSCLC) is commonly delivered using coplanar techniques. In this study, we developed a beam orientation optimization algorithm for reirradiation planning to investigate…

The individualized treatment rule (ITR), which recommends an optimal treatment based on individual characteristics, has drawn considerable interest from many areas such as precision medicine, personalized education, and personalized…

Methodology · Statistics 2023-09-28 Qi Xu , Haoda Fu , Annie Qu

Scheduling surgeries is a challenging task due to the fundamental uncertainty of the clinical environment, as well as the risks and costs associated with under- and over-booking. We investigate neural regression algorithms to estimate the…

Machine Learning · Statistics 2017-07-14 Nathan Ng , Rodney A Gabriel , Julian McAuley , Charles Elkan , Zachary C Lipton