Tumours with cancer stem cells: a PDE model

DOI10.1016/j.mbs.2015.12.003zbMath1371.92061OpenAlexW2199728000WikidataQ50745328 ScholiaQ50745328MaRDI QIDQ905827

Alberto Mancini, Fasano, Antonio, Mario Primicerio

Publication date: 28 January 2016

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

Full work available at URL: http://hdl.handle.net/2158/1087607

zbMATH Keywords

reaction-diffusion systemscancer modellingstem cellstumour paradox

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50)

Related Items (8)

Mathematical modeling of tumor and cancer stem cells treated with CAR-T therapy and inhibition of TGF-\(\beta\) ⋮ Nonlocal elliptic system arising from the growth of cancer stem cells ⋮ Mathematical models for tumours with cancer stem cells ⋮ Nonlocal problems arising from the birth-jump processes ⋮ On the role of cancer cells' diffusion in the tumor growth paradox ⋮ Traveling wave solutions for a cancer stem cell invasion model ⋮ Growth of tumours with stem cells: the effect of crowding and ageing of cells ⋮ Unnamed Item

Uses Software

• BACOLR

Cites Work

• Unnamed Item
• Analysis of an integro-differential system modeling tumor growth
• The tumor growth paradox and immune system-mediated selection for cancer stem cells
• A generalization of the Kermack-McKendrick deterministic epidemic model
• Multispecies model of cell lineages and feedback control in solid tumors
• Cancer stem cells as the engine of unstable tumor progression
• Mathematical Modeling of Leukemogenesis and Cancer Stem Cell Dynamics
• Mathematical Modelling of Cancer Stem Cells Population Behavior
• Algorithm 874
• A non-local model for cancer stem cells and the tumour growth paradox

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