Dynamics of cancer recurrence

DOI10.1214/12-AAP876zbMath1272.92023arXiv1307.5179MaRDI QIDQ363852

Kevin Leder, Jasmine Foo

Publication date: 5 September 2013

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.5179

zbMATH Keywords

branching processespopulation genetics

Mathematics Subject Classification ID

Applications of branching processes (60J85) Medical applications (general) (92C50)

Related Items (7)

Large deviations of cancer recurrence timing ⋮ Mutation frequencies in a birth-death branching process ⋮ Escape times for branching processes with random mutational fitness effects ⋮ A comparison of mutation and amplification-driven resistance mechanisms and their impacts on tumor recurrence ⋮ Waiting times in a branching process model of colorectal cancer initiation ⋮ Forward and backward evolutionary processes and allele frequency spectrum in a cancer cell population ⋮ On analytical methods in neuroblastoma detection

Cites Work

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• Extinction models for cancer stem cell therapy
• A stochastic model for the origin and treatment of tumors containing drug-resistant cells
• A note on the path to extinction of critical Markov branching processes
• The dynamics of gene amplification described as a multitype compartmental model and as a branching process
• Markovian paths to extinction
• Multitype Bienaymé–Galton–Watson processes escaping extinction
• Asymptotic results for the extinction time of Markov branching processes allowing emigration, I. Random walk decrements

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