Tumor growth modeling based on cell and tumor lifespans

DOI10.1016/J.JTBI.2012.07.008zbMath1337.92110OpenAlexW2027491056WikidataQ84596214 ScholiaQ84596214MaRDI QIDQ293792

R. Keinj, Pierre Vallois, Thierry Bastogne

Publication date: 9 June 2016

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2012.07.008

zbMATH Keywords

Markov chainradiotherapycancer cells

Mathematics Subject Classification ID

Medical applications (general) (92C50) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (6)

Probabilités et biologie ⋮ An Îto stochastic differential equations model for the dynamics of the MCF-7 breast cancer cell line treated by radiotherapy ⋮ Bifurcation Analysis and Finite-Time Contraction Stability of an Alzheimer Disease Model ⋮ A branching process model of heterogeneous DNA damages caused by radiotherapy in \textit{in vitro} cell cultures ⋮ Multinomial model-based formulations of TCP and NTCP for radiotherapy treatment planning ⋮ An Extension of the Target Theory in Biology Applied to System Reliability

Cites Work

• Derivation of the tumour control probability (TCP) from a cell cycle model
• Phenomenological modeling of tumor diameter growth based on a mixed effects model
• Multinomial model-based formulations of TCP and NTCP for radiotherapy treatment planning
• Simple ODE models of tumor growth and anti-angiogenic or radiation treatment

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