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We investigate a new dynamical system that describes tumor-host interaction. The equation that describes the untreated tumor growth is based on non-extensive statistical mechanics. Recently, this model has been shown to fit successfully…

Traditionally, the major objective in phase I trials is to identify a working-dose for subsequent studies, whereas the major endpoint in phase II and III trials is treatment efficacy. The dose sought is typically referred to as the maximum…

Methodology · Statistics 2016-08-14 Mourad Tighiouart , André Rogatko

Cancer poses danger because of its unregulated growth, development of resistant subclones, and metastatic spread to vital organs. Although the major transitions in cancer development are increasingly well understood, we lack quantitative…

Populations and Evolution · Quantitative Biology 2014-08-27 Andrei R. Akhmetzhanov , Michael E. Hochberg

We study the dynamics and interactions between combined chemotherapy and chimeric antigen receptor (CAR-T) cells therapy and malignant gliomas (MG). MG is one of the most common primary brain tumor, with high resistance to therapy and…

Dynamical Systems · Mathematics 2025-06-04 Dmitry Sinelshchikov , Juan Belmonte-Beitia , Matteo Italia

In this article, we propose a phase I-II design in two stages for the combination of molecularly targeted therapies. The design is motivated by a published case study that combines a MEK and a PIK3CA inhibitors; a setting in which higher…

Methodology · Statistics 2025-05-21 José L. Jiménez , Mourad Tighiouart

Medical imaging is the most important tool for detecting complications in the inner body of medicine. Nowadays, with the development of image processing technology as well as changing the size of photos to higher resolution images in the…

Image and Video Processing · Electrical Eng. & Systems 2022-07-19 Mahmoudreza Moghimhanjani , Ali Taghavirashidizadeh

There is evidence of synergy between radiotherapy and immunotherapy. Radiotherapy can increase liberation of tumor antigens, causing activation of antitumor T-cells. This effect can be boosted with immunotherapy. Radioimmunotherapy has…

Radiotherapy (RT) is a critical cancer treatment, with volumetric modulated arc therapy (VMAT) being a commonly used technique that enhances dose conformity by dynamically adjusting multileaf collimator (MLC) positions and monitor units…

Medical Physics · Physics 2025-06-26 Stefanos Achlatis , Efstratios Gavves , Jan-Jakob Sonke

We consider a particular phase field system which physical context is that of tumor growth dynamics. The model we deal with consists of a Cahn-Hilliard type equation governing the evolution of the phase variable which takes into account the…

Analysis of PDEs · Mathematics 2019-08-30 Andrea Signori

Tumor growth beyond a critical size relies on the development of a functional vascular network, which ensures adequate oxygen and nutrient supply. In this work, we present a modeling framework based on an optimization-based 3D-1D coupling…

Numerical Analysis · Mathematics 2026-04-01 Chiara Giverso , Denise Grappein , Stefano Scialò

Induction of thermal damage to tissue through delivery of microwave energy is frequently applied in surgery to destroy diseased tissue such as cancer cells. Minimization of unwanted harm to healthy tissue is still achieved subjectively, and…

In this work, we investigate a fractional-order tumor growth model aimed at capturing memory effects and nonlocal temporal dynamics inherent to tumor evolution. The model is formulated using Caputo fractional derivatives and incorporates…

Medical Physics · Physics 2026-03-17 Karen Escutia , Carlos Islas , Pablo Padilla

Cryoablation is a minimally invasive and efficient therapy option for liver cancer. Liquid nitrogen was used to kill the unwanted cells via freezing. One of the challenges of cryosurgery is to destroy the complete tumor without damaging the…

Medical Physics · Physics 2023-09-19 Gangadhara Boregowda , Panchatcharam Mariappan

PET/CT imaging is the gold standard for tumor detection, offering high accuracy in identifying local and metastatic lesions. Radiologists often begin assessment with rotational Multi-Angle Maximum Intensity Projections (MIPs) from PET,…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Romario Zarik , Nahum Kiryati , Michael Green , Liran Domachevsky , Arnaldo Mayer

We conduct a theoretical study of various solution methods for the adaptive fractionation problem. The two messages of this paper are: (i) dynamic programming (DP) is a useful framework for adaptive radiation therapy, particularly adaptive…

Medical Physics · Physics 2012-02-16 Jagdish Ramakrishnan , David Craft , Thomas Bortfeld , John N. Tsitsiklis

An efficient computational approach for imaging binary-type physical properties suitable for various models in biomedical applications is developed and validated. The proposed methodology includes gradient-based multiscale optimization with…

Optimization and Control · Mathematics 2024-01-30 Maria M. F. M. Chun , Briana L. Edwards , Vladislav Bukshtynov

Low grade gliomas (LGGs) are a group of primary brain tumors usually encountered in young patient populations. These tumors represent a difficult challenge because many patients survive a decade or more and may be at a higher risk for…

Radiologists often mix medical image reading strategies, including inspection of individual modalities and local image regions, using information at different locations from different images independently as well as concurrently. In this…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Xiangcen Wu , Shaheer U. Saeed , Yipei Wang , Ester Bonmati Coll , Yipeng Hu

The development of mathematical models of cancer informed by time-resolved measurements has enabled personalised predictions of tumour growth and treatment response. However, frequent cancer monitoring is rare, and many tumours are treated…

Analysis of PDEs · Mathematics 2024-09-20 Elena Beretta , Cecilia Cavaterra , Matteo Fornoni , Guillermo Lorenzo , Elisabetta Rocca

Determining the extent to which a patient is benefiting from cancer therapy is challenging. Criteria for quantifying the extent of "tumor response" observed within a few cycles of treatment have been established for various types of solid…

Methodology · Statistics 2020-09-18 Jie Zhou , Xun Jiang , H. Amy Xia , Peng Wei , Brian P. Hobbs