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The long-term efficacy of targeted therapeutics for cancer treatment can be significantly limited by the type of therapy and development of drug resistance, inter alia. Experimental studies indicate that the factors enhancing acquisition of…

Tissues and Organs · Quantitative Biology 2021-02-16 Joseph Malinzi , Kevin Bosire Basita , Sara Padidar , Henry A. Adeola

Acquired resistance is one of the major barriers to successful cancer therapy. The development of resistance is commonly attributed to genetic heterogeneity. However, heterogeneity of drug penetration of the tumor microenvironment both on…

Populations and Evolution · Quantitative Biology 2015-08-19 Feng Fu , Martin A. Nowak , Sebastian Bonhoeffer

Practically, all chemotherapeutic agents lead to drug resistance. Clinically, it is a challenge to determine whether resistance arises prior to, or as a result of, cancer therapy. Further, a number of different intracellular and…

Populations and Evolution · Quantitative Biology 2014-12-03 Jana L. Gevertz , Zahra Aminzare , Kerri-Ann Norton , Judith Perez-Velazquez , Alexandria Volkening , Katarzyna A. Rejniak

Drug resistance and metastasis - the major complications in cancer - both entail adaptation of cancer cells to stress, whether a drug or a lethal new environment. Intriguingly, these adaptive processes share similar features that cannot be…

Molecular Networks · Quantitative Biology 2021-09-28 Aseel Shomar , Omri Barak , Naama Brenner

The emergence of acquired drug resistance in cancer represents a major barrier to treatment success. While research has traditionally focused on genetic sources of resistance, recent findings suggest that cancer cells can acquire transient…

Populations and Evolution · Quantitative Biology 2020-02-25 Einar Bjarki Gunnarsson , Subhajyoti De , Kevin Leder , Jasmine Foo

Cancer is a term used to refer to a large set of diseases. The cancerous cells grow and divide and, as a result, they form tumours that grow in size. The immune system recognise the cancerous cells and attack them, though, it can be…

Populations can evolve in order to adapt to external changes. The capacity to evolve and adapt makes successful treatment of infectious diseases and cancer difficult. Indeed, therapy resistance has quickly become a key challenge for global…

Populations and Evolution · Quantitative Biology 2015-06-22 Andrej Fischer , Ignacio Vazquez-Garcia , Ville Mustonen

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

Adaptive therapy is a recent paradigm in cancer treatment aiming at indefinite, safe containment of the disease when cure is judged unattainable. In modeling this approach, inherent limitations arise due to the structure of the vector…

Dynamical Systems · Mathematics 2025-03-20 Frederik J. Thomsen , Johan L. A. Dubbeldam

Cancer cells are widely known to be protected from apoptosis, which is a major hurdle to successful anti-cancer therapy. Over-expression of several anti-apoptotic proteins, or mutations in pro-apoptotic factors, has been recognized to…

Molecular Networks · Quantitative Biology 2010-09-14 Subhadip Raychaudhuri

In this paper, we explore the application of ensemble optimal control to derive enhanced strategies for pharmacological cancer treatment, and we tackle the problem of the long-term management of the disease, i.e., when the complete…

Optimization and Control · Mathematics 2026-04-23 Alessandro Scagliotti , Federico Scagliotti , Laura Deborah Locati , Federico Sottotetti

Mutation-induced drug resistance in cancer often causes the failure of therapies and cancer recurrence, despite an initial tumor reduction. The timing of such cancer recurrence is governed by a balance between several factors such as…

Probability · Mathematics 2013-07-22 Jasmine Foo , Kevin Leder

Tumor recurrence, driven by the evolution of drug resistance is a major barrier to therapeutic success in cancer. Resistance is often caused by genetic alterations such as point mutation, which refers to the modification of a single genomic…

Populations and Evolution · Quantitative Biology 2023-08-23 Aaron Li , Danika Kibby , Jasmine Foo

Although optimal control theory has been used for the theoretical study of anti-cancerous drugs scheduling optimization, with the aim of reducing the primary tumor volume, the effect on metastases is often ignored. Here, we use a previously…

Tissues and Organs · Quantitative Biology 2013-06-21 Sebastien Benzekry , Philip Hahnfeldt

Drug gradients are believed to play an important role in the evolution of bacteria resistant to antibiotics and tumors resistant to anti-cancer drugs. We use a statistical physics model to study the evolution of a population of malignant…

Populations and Evolution · Quantitative Biology 2015-06-04 Philip Greulich , Bartlomiej Waclaw , Rosalind J. Allen

The evolutionary and ecological dynamics of tumors under immune responses and therapeutic interventions pose major challenges to long-term treatment success. Although treatment may initially achieve short-term disease control, resistant…

Quantitative Methods · Quantitative Biology 2026-04-03 Nazanin Mokari , Bryce Morsky

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…

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

Farmers use pesticides to reduce yield losses. The efficacies of pesticide treatments are often evaluated by analyzing the average treatment effects and risks. The stochastic efficiency with respect to a function is often employed in such…

General Economics · Economics 2022-05-12 Ariel Soto-Caro , Feng Wu , Zhengfei Guan , Natalia Peres

While chemoresistance in primary tumors is well-studied, much less is known about the influence of systemic chemotherapy on the development of drug resistance at metastatic sites. In this work, we use a hybrid spatial model of tumor…

Tissues and Organs · Quantitative Biology 2016-03-04 Ami B. Shah , Katarzyna A. Rejniak , Jana L. Gevertz
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