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Related papers: The dose-dense principle in chemotherapy

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We consider a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects which is introduced in [2]. It is comprised of phase-field equation to describe tumor growth, which is coupled to a…

Analysis of PDEs · Mathematics 2020-10-22 Tania Biswas , Elisabetta Rocca

There are several different modalities, e.g., surgery, chemotherapy, and radiotherapy, that are currently used to treat cancer. It is common practice to use a combination of these modalities to maximize clinical outcomes, which are often…

Optimization and Control · Mathematics 2019-09-27 Kelsey Maass , Minsun Kim

Conventional cancer therapies include surgery, radiation therapy, chemotherapy, and, more recently, immunotherapy. These modalities are often combined to improve the therapeutic index. The general concept of radiation therapy is to increase…

Cytotoxic chemotherapy is a common treatment for advanced prostate cancer. These tumors are also known to rely on angiogenesis, i.e., the growth of local microvasculature via chemical signaling produced by the tumor. Thus, several clinical…

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

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

Phase I dose-finding trials in oncology seek to find the maximum tolerated dose (MTD) of a drug under a specific schedule. Evaluating drug-schedules aims at improving treatment safety while maintaining efficacy. However, while we can…

Resistance to chemotherapies, particularly to anticancer treatments, is an increasing medical concern. Among the many mechanisms at work in cancers, one of the most important is the selection of tumor cells expressing resistance genes or…

Analysis of PDEs · Mathematics 2012-07-05 Alexander Lorz , Tommaso Lorenzi , Michael E. Hochberg , Jean Clairambault , Benoit Perthame

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

We investigate the dynamics of a nonlinear system modeling tumor growth with drug application. The tumor is viewed as a mixture consisting of proliferating, quiescent and dead cells as well as a nutrient in the presence of a drug. The…

Analysis of PDEs · Mathematics 2015-06-22 Donatella Donatelli , Konstantina Trivisa

A distributed optimal control problem for an extended model of phase field type for tumor growth is addressed. In this model, the chemotaxis effects are also taken into account. The control is realized by two control variables that design…

Analysis of PDEs · Mathematics 2021-03-23 Pierluigi Colli , Andrea Signori , Jürgen Sprekels

Recent clinical trials have shown that the adaptive drug therapy can be more efficient than a standard MTD-based policy in treatment of cancer patients. The adaptive therapy paradigm is not based on a preset schedule; instead, the doses are…

Quantitative Methods · Quantitative Biology 2020-08-06 Mark Gluzman , Jacob G. Scott , Alexander Vladimirsky

The Radiotherapy treatment planning optimization process based on a quasi-Newton algorithm with an object function containing dose-volume constraints is not guaranteed to converge when the dose value in the dose-volume constraint is a…

Classical Analysis and ODEs · Mathematics 2008-12-02 I. Hoveijn

A systematic understanding of the evolution and growth dynamics of invasive solid tumors in response to different chemotherapy strategies is crucial for the development of individually optimized oncotherapy. Here, we develop a hybrid…

Tissues and Organs · Quantitative Biology 2020-07-01 Hang Xie , Yang Jiao , Qihui Fan , Miaomiao Hai , Jiaen Yang , Zhijian Hu , Yue Yang , Jianwei Shuai , Guo Chen , Ruchuan Liu , Liyu Liu

Radiotherapy is used to treat cancer patients by damaging DNA of tumor cells using ionizing radiation. Photons are the most widely used radiation type for therapy, having been put into use soon after the first discovery of X-rays in 1895.…

Optimization and Control · Mathematics 2019-11-20 Roman Levin , Aleksandr Y. Aravkin , Minsun Kim

In this work, we investigate the population dynamics of tumor cells under therapeutic pressure. Although drug treatment initially induces a reduction in tumor burden, treatment failure frequently occurs over time due to the emergence of…

Probability · Mathematics 2025-10-02 Kevin Leder , Zicheng Wang , Xuanming Zhang

Purpose. Patients with advanced cancer may undergo multiple lines of treatment, switching therapies as their disease progresses. Motivated by a study of metastatic prostate cancer, we develop a microsimulation framework to study therapy…

We consider a real-world chemotherapy scheduling template design problem, where we cluster patient types into groups and find a representative time-slot duration for each group to accommodate all patient types assigned to that group, aiming…

Optimization and Control · Mathematics 2025-10-14 Qing Zhu , Xian Yu , Yu-Li Huang

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…

We consider a system of two coupled integro-differential equations modelling populations of healthy and cancer cells under therapy. Both populations are structured by a phenotypic variable, representing their level of resistance to the…

Optimization and Control · Mathematics 2016-12-15 Camille Pouchol , Jean Clairambault , Alexander Lorz , Emmanuel Trélat
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