Modelling the cell cycle and cell movement in multicellular tumour spheroids

DOI10.1007/s11538-006-9110-zzbMath1298.92021OpenAlexW1995628511WikidataQ51919453 ScholiaQ51919453MaRDI QIDQ2426299

Colin P. Please, Marcus J. Tindall

Publication date: 22 April 2008

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-006-9110-z

zbMATH Keywords

chemotaxisshockscell cycle distributionmulticellular tumour spheroid

Mathematics Subject Classification ID

Developmental biology, pattern formation (92C15) Cell movement (chemotaxis, etc.) (92C17)

Related Items (10)

Competing species system as a qualitative model of radiation therapy ⋮ A numerical method based on the moving mesh for the solving of a mathematical model of the avascular tumor growth ⋮ Modelling the cell cycle and cell movement in multicellular tumour spheroids ⋮ Modelling the formation of necrotic regions in avascular tumours ⋮ Formulation and numerical simulations of a continuum model of avascular tumor growth ⋮ A numerical algorithm for avascular tumor growth model ⋮ Modelling acidosis and the cell cycle in multicellular tumour spheroids ⋮ A free boundary problem modeling the cell cycle and cell movement in multicellular tumor spheroids ⋮ Optimal control oriented to therapy for a free-boundary tumor growth model ⋮ Asymptotic stability for a free boundary tumor model with a periodic supply of external nutrients

Cites Work

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• Growth of necrotic tumors in the presence and absence of inhibitors
• Mathematical modelling of drug transport in tumour multicell spheroids and monolayer cultures
• Growth of nonnecrotic tumors in the presence and absence of inhibitors
• Modelling the cell cycle and cell movement in multicellular tumour spheroids
• A weighted average flux method for hyperbolic conservation laws

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