Mathematical models for tumours with cancer stem cells

DOI10.1007/s40314-018-0707-2zbMath1413.92010OpenAlexW2888997648MaRDI QIDQ1715709

Luca Meacci, Mario Primicerio

Publication date: 29 January 2019

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2158/1146494

zbMATH Keywords

ordinary differential equationscellular automatareaction-diffusion equationscancer stem cellsintegro-partial differential equationsmathematical modeling of tumours

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cellular automata (computational aspects) (68Q80) Cell biology (92C37)

Related Items (1)

Growth of tumours with stem cells: the effect of crowding and ageing of cells

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
• Stochastic control of proliferation and differentiation in stem cell dynamics
• The impact of cell crowding and active cell movement on vascular tumour growth
• Characterizing inhibited tumor growth in stem-cell-driven non-spatial cancers
• Tumours with cancer stem cells: a PDE model
• A generalization of the Kermack-McKendrick deterministic epidemic model
• A mathematical model to study the effects of drug resistance and vasculature on the response of solid tumors to chemotherapy
• Theory of cellular automata: a survey
• Cancer stem cells as the engine of unstable tumor progression
• How and how much to invest for fighting cheaters: from an ODE to a cellular automata model
• Mathematical Modeling of Leukemogenesis and Cancer Stem Cell Dynamics
• A non-local model for cancer stem cells and the tumour growth paradox
• Cellular Automata Modeling of Physical Systems

This page was built for publication: Mathematical models for tumours with cancer stem cells