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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…

动力系统 · 数学 2025-03-20 Frederik J. Thomsen , Johan L. A. Dubbeldam

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…

种群与进化 · 定量生物学 2020-02-25 Einar Bjarki Gunnarsson , Subhajyoti De , Kevin Leder , Jasmine Foo

Multidrug resistance consists of a series of genetic and epigenetic alternations that involve multifactorial and complex processes, which are a challenge to successful cancer treatments. Accompanied by advances in biotechnology and…

种群与进化 · 定量生物学 2022-04-19 Heyrim Cho , Doron Levy

Acidosis in tumors arises from reprogrammed metabolism and compromised vasculature, creating a harsh, acidic microenvironment that drives the evolutionary selection of acid-resistant cell phenotypes. A mathematical model is proposed to…

组织与器官 · 定量生物学 2025-12-30 Prithvi Anickode , Fabio Milner

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…

种群与进化 · 定量生物学 2015-06-22 Andrej Fischer , Ignacio Vazquez-Garcia , Ville Mustonen

We consider a mathematical model for the evolutionary dynamics of tumour cells in vascularised tumours under chemotherapy. The model comprises a system of coupled partial integro-differential equations for the phenotypic distribution of…

组织与器官 · 定量生物学 2020-06-02 Chiara Villa , Mark A. J. Chaplain , Tommaso Lorenzi

Some clinical and pre-clinical data suggests that treating some tumors at a mild, patient-specific dose might delay resistance to treatment and increase survival time. A recent mathematical model with sensitive and resistant tumor cells…

动力系统 · 数学 2022-12-01 Frank Alvarez , Yannick Viossat

Phenotypic heterogeneity in cancer cells is widely observed and is often linked to drug resistance. In several cases, such heterogeneity in drug sensitivity of tumors is driven by stochastic and reversible acquisition of a drug tolerant…

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…

定量方法 · 定量生物学 2020-08-06 Mark Gluzman , Jacob G. Scott , Alexander Vladimirsky

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…

组织与器官 · 定量生物学 2014-07-04 Gibin G Powathil , Mark AJ Chaplain , Maciej Swat

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…

定量方法 · 定量生物学 2026-04-03 Nazanin Mokari , Bryce Morsky

We propose an extension of a standard stochastic individual-based model in population dynamics which broadens the range of biological applications. Our primary motivation is modelling of immunotherapy of malignant tumours. In this context…

种群与进化 · 定量生物学 2016-04-18 Martina Baar , Loren Coquille , Hannah Mayer , Michael Hölzel , Meri Rogava , Thomas Tüting , Anton Bovier

Adaptive therapy (AT) is designed to postpone the emergence of drug resistance by exploiting evolutionary competition among tumor subclones. Most mathematical models of AT assume a binary population structure of drug-sensitive and…

种群与进化 · 定量生物学 2026-05-19 Rui Yue , Chenghang Li , Jinzhi Lei

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…

概率论 · 数学 2025-10-02 Kevin Leder , Zicheng Wang , Xuanming Zhang

The evolutionary dynamics of a system of cancerous cells in a model of chronic myeloid leukemia (CML) is investigated by a statistical approach. Cancer progression is explored by applying a Monte Carlo method to simulate the stochastic…

种群与进化 · 定量生物学 2009-11-13 Nicola Pizzolato , Davide Valenti , Dominique Persano Adorno , Bernardo Spagnolo

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…

In the study of therapeutic strategies for the treatment of cancer, eco-evolutionary dynamics are of particular interest, since characteristics of the tumour population, interaction with the environment and effects of the treatment,…

种群与进化 · 定量生物学 2023-07-19 Giulia Chiari , Giada Fiandaca , Marcello Edoardo Delitala

Cancer is a disease of cellular regulation, often initiated by genetic mutation within cells, and leading to a heterogeneous cell population within tissues. In the competition for nutrients and growth space within the tumors the phenotype…

种群与进化 · 定量生物学 2017-08-08 András Szabó , Roeland M. H. Merks

Histopathological evidence supports the idea that the emergence of phenotypic heterogeneity and resistance to cytotoxic drugs can be considered as a process of adaptation, or evolution, in tumor cell populations. In this framework, can we…

组织与器官 · 定量生物学 2013-12-24 Alexander Lorz , Tommaso Lorenzi , Jean Clairambault , Alexandre Escargueil , Benoît Perthame

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…

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