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Adaptive therapy improves cancer treatment by controlling the competition between sensitive and resistant cells through treatment holidays. This study highlights the critical role of treatment-holiday thresholds in adaptive therapy for…

Other Quantitative Biology · Quantitative Biology 2025-07-15 Lanfei Sun , Haifeng Zhang , Kai Kang , Xiaoxin Wang , Leyi Zhang , Yanan Cai , Changjing Zhuge , Lei Zhang

Personalized medicine is the future of medical practice. In oncology, tumor heterogeneity assessment represents a pivotal step for effective treatment planning and prognosis prediction. Despite new procedures for DNA sequencing and…

Risk stratification is a key tool in clinical decision-making, yet current approaches often fail to translate sophisticated survival analysis into actionable clinical criteria. We present a novel method for unsupervised machine learning…

Designing patient-specific follow-up strategy is a crucial step towards personalized medicine in cancer. Tools to help doctors deciding on treatment allocation together with next visit date, based on patient preferences and medical…

Optimization and Control · Mathematics 2024-01-09 Benoîte de Saporta , Aymar Thierry d'Argenlieu , Régis Sabbadin , Alice Cleynen

To develop an automated workflow for rectal cancer three-dimensional conformal radiotherapy treatment planning that combines deep-learning(DL) aperture predictions and forward-planning algorithms. We designed an algorithm to automate the…

The progress of the prostate-specific antigen after radical prostatectomy is observed for a patient in order to extract information on the growth mode of the tumor cells. An initial fast-growth mode goes over to a slower power-law regime…

Quantitative Methods · Quantitative Biology 2009-02-10 Mehmet Erbudak , Ayse Erzan

Despite the remarkable advances in cancer diagnosis, treatment, and management that have occurred over the past decade, malignant tumors remain a major public health problem. Further progress in combating cancer may be enabled by…

Radiation response in cancer is shaped by complex, patient specific biology, yet current treatment strategies often rely on uniform dose prescriptions without accounting for tumor heterogeneity. In this study, we introduce a meta learning…

Medical Physics · Physics 2025-08-12 Hao Peng , Yuanyuan Zhang , Steve Jiang , Robert Timmerman , John Minna

Targeted therapies on the basis of genomic aberrations analysis of the tumor have shown promising results in cancer prognosis and treatment. Regardless of tumor type, trials that match patients to targeted therapies for their particular…

Applications · Statistics 2018-04-18 Yanxun Xu , Peter Mueller , Apostolia M Tsimberidou , Donald Berry

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

Chemotherapy is one of the most important therapeutic options used to treat human cancers, either alone or in combination with radiation therapy and surgery. Recent studies have indicated that intra-tumoural heterogeneity has a significant…

Tissues and Organs · Quantitative Biology 2014-07-04 Gibin G Powathil , Mark AJ Chaplain , Maciej Swat

Personalized cancer modeling for clinical applications requires robust and efficient parameter calibration, particularly in settings with limited patient data. This need is especially critical for medical digital twins (MDTs), which are…

Other Quantitative Biology · Quantitative Biology 2026-05-01 Logan Rose , Jonathan Martinez , Juho Kim , Jing Qin , Boris Aguilar , David Murrugarra

The effects of molecularly targeted drug perturbations on cellular activities and fates are difficult to predict using intuition alone because of the complex behaviors of cellular regulatory networks. An approach to overcoming this problem…

Systems and Control · Computer Science 2019-01-15 Afroza Shirin , Isaac Klickstein , Song Feng , Yen Ting Lin , William S. Hlavacek , Francesco Sorrentino

In this paper we propose a systematic approach to construct mathematical models describing populations of cancer-cells at different stages of disease development. The methodology we propose is based on stochastic Concurrent Constraint…

Computational Engineering, Finance, and Science · Computer Science 2011-09-08 Luca Bortolussi , Alberto Policriti

We present a mechanistic biomathematical model of molecular radiotherapy of thyroid disease. The general model consists of a set of differential equations describing the dynamics of different populations of thyroid cells with varying…

Medical Physics · Physics 2021-10-15 Araceli Gago-Arias , Sara Neira , Filippo Terragni , Juan Pardo-Montero

Thyroid carcinoma, a significant yet often controllable cancer, has seen a rise in cases, largely due to advancements in diagnostic methods. Differentiated thyroid cancer (DTC), which includes papillary and follicular varieties, is…

Machine Learning · Computer Science 2025-05-06 Mohammad Al-Sayed Ahmad , Jude Haddad

Cancer remains a global challenge due to its growing clinical and economic burden. Its uniquely personal manifestation, which makes treatment difficult, has fuelled the quest for personalized treatment strategies. Thus, genomic profiling is…

When confronted with an undesired cell population, such as bacterial infections or tumors, we seek the most effective treatment, designed to eliminate the population as rapidly as possible. A common practice is to monitor the cells…

Biological Physics · Physics 2025-01-23 Uzi Harush , Ravid Straussman , Baruch Barzel

While the 10-year survival rate for localized prostate cancer patients is very good (>98%), side effects of treatment may limit quality of life significantly. Erectile dysfunction (ED) is a common burden associated with increasing age as…

In this study, we develop consistent estimators for key parameters that govern the dynamics of tumor cell populations when subjected to pharmacological treatments. While these treatments often lead to an initial reduction in the abundance…

Applications · Statistics 2024-03-21 Kevin Leder , Ruping Sun , Zicheng Wang , Xuanming Zhang