A branching-process model for heterogeneous cell populations

DOI10.1016/0025-5564(86)90032-5zbMath0578.92022OpenAlexW2067992807MaRDI QIDQ1066841

Roger S. Day

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0025-5564(86)90032-5

zbMATH Keywords

probability generating functiondeathconversionmutationmitosisclinical oncologyconditioning on interim eventsfunctions of time or cell countsgrowth of heterogeneous cell populationsmultitype branching-process modeltumor biology

Mathematics Subject Classification ID

Applications of branching processes (60J85) Medical applications (general) (92C50) Population dynamics (general) (92D25) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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Cites Work

• Methods of nonlinear analysis. Vol. II
• Linear birth and death processes with killing
• On Distribution Theories for the Number of Mutants in Cell Populations
• Analyses for Binomial Data, with Application to the Fluctuation Test for Mutagenicity
• Mathematical models for estimating mutation rates in cell populations
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