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Radiation Therapy (RT) plays a pivotal role in the treatment of cancer, offering the potential to effectively target and eliminate tumour cells while minimizing harm to surrounding healthy tissues. However, the success of RT heavily depends…

Medical Physics · Physics 2024-02-16 Keshav Kumar K. , NVSL Narasimham , A. Ramakrishna Prasad

While many novel therapies have been approved in recent years for treating patients with multiple myeloma, there is still no established curative regimen, especially for patients with high risk disease. In this work, we use a mathematical…

Optimization and Control · Mathematics 2022-11-18 Mahya Aghaee , Urszula Ledzewicz , Michael Robbins , Natalie Bezman , Hearn Jay Cho , Helen Moore

Radiation therapy is a critical component of cancer treatment. However, the delivery of radiation poses inherent challenges, particularly in minimizing radiation exposure to healthy organs surrounding the tumor site. One significant…

Optimization and Control · Mathematics 2024-01-22 Keshav Kumar K. , NVSL Narasimham

Dynamic treatment regime (DTR) plays a critical role in precision medicine when assigning patient-specific treatments at multiple stages and optimizing a long term clinical outcome. However, most of existing work about DTRs have been…

Methodology · Statistics 2023-02-20 Chang Wang , Lu Wang

Biomarker-guided designs are increasingly used to evaluate personalized treatments based on patients' biomarker status in Phase II and III clinical trials. With adaptive enrichment, these designs can improve the efficiency of evaluating the…

Methodology · Statistics 2024-06-11 Kaiyuan Hua , Hwanhee Hong , Xiaofei Wang

We identify three properties of the standard oncology phase I trial design or 3 + 3 design. We show that the standard design implicitly uses isotonic regression to estimate a maximum tolerated dose. We next illustrate the relationship…

Applications · Statistics 2009-06-08 Gregory J. Hather , Howard Mackey

The goal of uplift modeling is to recommend actions that optimize specific outcomes by determining which entities should receive treatment. One common approach involves two steps: first, an inference step that estimates conditional average…

Machine Learning · Computer Science 2025-05-21 Simon De Vos , Christopher Bockel-Rickermann , Stefan Lessmann , Wouter Verbeke

Purpose: To develop a multi-criteria optimization framework for image guided radiotherapy. Methods: An algorithm is proposed for a multi-criteria framework for the purpose of patient setup verification decision processes. Optimal patient…

Medical Physics · Physics 2011-08-16 Brian Winey , James Balter

The aim of this chapter is to provide a brief introduction into the basics of a top-down multilevel tumor dynamics modeling method primarily based on discrete entity consideration and manipulation. The method is clinically oriented, one of…

Medical Physics · Physics 2010-09-14 Georgios Stamatakos

Treatment of cancer has rapidly evolved over time in quite dramatic ways, for example from chemotherapies, targeted therapies to immunotherapies and chimeric antigen receptor T-cells. Nonetheless, the basic design of early phase I trials in…

Applications · Statistics 2024-12-04 Lukas Andreas Widmer , Sebastian Weber , Yunnan Xu , Hans-Jochen Weber

The use of `backfilling', assigning additional patients to doses deemed safe, in phase I dose-escalation studies has been used in practice to collect additional information on the safety profile, pharmacokinetics and activity of a drug.…

Applications · Statistics 2022-04-22 Helen Barnett , Oliver Boix , Dimitris Kontos , Thomas Jaki

The optimal dynamic treatment rule (ODTR) framework offers an approach for understanding which kinds of patients respond best to specific treatments -- in other words, treatment effect heterogeneity. Recently, there has been a proliferation…

Geometric uncertainty can degrade treatment quality in radiation therapy. While margins and robust optimization mitigate these effects, they provide only implicit control over clinical goal fulfillment probability. We therefore develop a…

Medical Physics · Physics 2026-01-14 Albin Fredriksson , Erik Engwall , Jenneke de Jong , Johan Sundström

The development of oncology drugs progresses through multiple phases, where after each phase a decision is made about whether to move a molecule forward. Early phase efficacy decisions are often made on the basis of single arm studies based…

Applications · Statistics 2023-04-17 Ulrich Beyer , David Dejardin , Matthias Meller , Kaspar Rufibach , Hans Ulrich Burger

Deep learning-based segmentation and classification are crucial to large-scale biomedical imaging, particularly for 3D data, where manual analysis is impractical. Although many methods exist, selecting suitable models and tuning parameters…

Computer Vision and Pattern Recognition · Computer Science 2026-02-18 David Exler , Joaquin Eduardo Urrutia Gómez , Martin Krüger , Maike Schliephake , John Jbeily , Mario Vitacolonna , Rüdiger Rudolf , Markus Reischl

Personalized cancer treatments based on the molecular profile of a patient's tumor are an emerging and exciting class of treatments in oncology. As genomic tumor profiling is becoming more common, targeted treatments to specific molecular…

Robust optimization is a commonly employed method to mitigate uncertainties in the planning of intensity-modulated proton therapy (IMPT). In certain contexts, the large number of uncertainty scenarios makes the robust problem impractically…

Medical Physics · Physics 2025-04-22 Ivar Bengtsson

Intensity-modulated radiation therapy (IMRT) allows for the design of customized, highly-conformal treatments for cancer patients. Creating IMRT treatment plans, however, is a mathematically complex process, which is often tackled in…

Optimization and Control · Mathematics 2022-03-18 Danielle A. Ripsman , Thomas G. Purdie , Timothy C. Y. Chan , Houra Mahmoudzadeh

Any process in which competing solutions replicate with errors and numbers of their copies depend on their respective fitnesses is the evolutionary optimization process. As during carcinogenesis mutated genomes replicate according to their…

Populations and Evolution · Quantitative Biology 2009-12-15 B. Brutovsky , D. Horvath

The concept of personalised medicine in cancer therapy is becoming increasingly important. There already exist drugs administered specifically for patients with tumours presenting well-defined mutations. However, the field is still in its…

Biomolecules · Quantitative Biology 2024-08-26 Abbi Abdel-Rehim , Oghenejokpeme Orhobor , Gareth Griffiths , Larisa Soldatova , Ross D. King