Limiting the development of anti-cancer drug resistance in a spatial model of micrometastases

DOI10.3934/mbe.2016038zbMath1352.92085arXiv1601.03412OpenAlexW2962732437WikidataQ38738084 ScholiaQ38738084MaRDI QIDQ326548

Jana L. Gevertz, Katarzyna A. Rejniak, Ami B. Shah

Publication date: 12 October 2016

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03412

zbMATH Keywords

hybrid modelmetronomic chemotherapymaximum tolerated dosechemoresistancefractionated therapymicrometastases

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Medical applications (general) (92C50)

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Cites Work

• On the MTD paradigm and optimal control for multi-drug cancer chemotherapy
• Dynamics and control of a mathematical model for metronomic chemotherapy
• Stochastic modeling of cellular colonies with quiescence: an application to drug resistance in cancer
• A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy
• Evolution of resistance to anti-cancer therapy during general dosing schedules
• Maximum tolerated dose versus metronomic scheduling in the treatment of metastatic cancers
• A stochastic model for the origin and treatment of tumors containing drug-resistant cells
• The impact of cell density and mutations in a model of multidrug resistance in solid tumors
• Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors
• Drug resistance in cancer chemotherapy as an optimal control problem
• Emergence of Anti-Cancer Drug Resistance: Exploring the Importance of the Microenvironmental Niche via a Spatial Model
• Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies