Dynamics of tumour cords following changes in oxygen availability: A model including a delayed exit from quiescence

DOI10.1016/j.mcm.2005.05.007zbMath1080.92036OpenAlexW1992372491MaRDI QIDQ814211

L. Filidoro, Alessandro Bertuzzi, Fasano, Antonio, Carmela Sinisgalli, Alberto Gandolfi

Publication date: 6 February 2006

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2005.05.007

zbMATH Keywords

Free boundary problemsOxygen diffusionTumour cords

Mathematics Subject Classification ID

Medical applications (general) (92C50) Free boundary problems for PDEs (35R35)

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Computational modelling of cancer development and growth: modelling at multiple scales and multiscale modelling ⋮ Cell resensitization after delivery of a cycle-specific anticancer drug and effect of dose splitting: learning from tumour cords ⋮ A review of mathematical models for the formation of vascular networks ⋮ Asymptotic behaviour of solutions to abstract logistic equations ⋮ Bifurcations for a multidimensional free boundary problem modeling the growth of tumor cord

Cites Work

• Regression and regrowth of tumour cords following single-dose anticancer treatment
• The steady state of a maturity structured tumor cord cell population
• The steady state of a tumor cord cell population.
• Cell kinetics in tumour cords studied by a model with variable cell cycle length
• The Non-Uniform Spatial Development of a Micrometastasis
• A Free Boundary Problem with Unilateral Constraints Describing the Evolution of a Tumor Cord Under the Influence of Cell Killing Agents
• Unnamed Item

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