Branching processes in continuous time as models of mutations: computational approaches and algorithms

DOI10.1016/j.csda.2016.12.013zbMath1464.62162OpenAlexW2570900630MaRDI QIDQ1658142

Maroussia Slavtchova-Bojkova, Plamen Trayanov, Stoyan Ivanov Dimitrov

Publication date: 14 August 2018

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2016.12.013

zbMATH Keywords

hazard functionmutationscontinuous timedecomposable branching processesattaining high levelswaiting time to escape mutant

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Applications of statistics to biology and medical sciences; meta analysis (62P10) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

Advances in medical statistics ⋮ Multi-type age-dependent branching processes as models of metastasis evolution ⋮ Models induced from critical birth–death process with random initial conditions ⋮ Modeling escape from extinction with decomposable multi-type Sevastyanov branching processes

Uses Software

• R

Cites Work

• Evolutionary dynamics of invasion and escape
• Renewal processes
• Intuitive approximations for the renewal function
• Dynamics of escape mutants
• On Two-Type Decomposable Branching Processes in Continuous Time and Time to Escape Extinction
• On the solution of renewal-type integral equations
• Branching Process Models of Cancer
• On the Waiting Time to Escape
• The progeny of a branching process
• Branching processes in biology
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