Fluctuation analysis on mutation models with birth-date dependence

DOI10.1016/j.mbs.2018.06.006zbMath1405.92078OpenAlexW2808909285WikidataQ89187429 ScholiaQ89187429MaRDI QIDQ1711961

Adrien Mazoyer

Publication date: 18 January 2019

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

Full work available at URL: https://doi.org/10.1016/j.mbs.2018.06.006

zbMATH Keywords

probability generating functionbranching processfluctuation analysisparametric estimationnon-exponential growthLuria-Delbrück distribution

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Applications of branching processes (60J85) Population dynamics (general) (92D25) Cell biology (92C37)

Uses Software

• R
• WRS2
• flan

Cites Work

• The branching process with logistic growth
• A stochastic Gompertz birth-death process
• Time inhomogeneous mutation models with birth date dependence
• Statistics for the Luria-Delbrück distribution
• Progress of a half century in the study of the Luria-Delbrück distribution
• Cellular replication limits in the Luria-Delbrück mutation model
• The fixed-size Luria-Delbrück model with a nonzero death rate
• New algorithms for Luria-Delbrück fluctuation analysis
• A generalized Luria-Delbrück model
• Parameter Estimation for the Discrete Stable Family
• Almost sure limit results for the supercritical Bellman-Harris process
• Analysis of the Luria–Delbrück distribution using discrete convolution powers
• Stabilities and instabilities in population dynamics
• An Introduction to Random Sets
• An explicit representation of the Luria-Delbrück distribution
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