Iterated birth and death process as a model of radiation cell survial

DOI10.1016/S0025-5564(00)00054-7zbMath0966.92010OpenAlexW2023663219WikidataQ52069536 ScholiaQ52069536MaRDI QIDQ5934207

Leonid G. Hanin

Publication date: 16 August 2001

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

Full work available at URL: https://doi.org/10.1016/s0025-5564(00)00054-7

zbMATH Keywords

probability generating functionprobability distributionlimiting distributionclonogenic tumor cellfractional cancer radiotherapyiterated birth and death processtumor recurrence

Mathematics Subject Classification ID

Applications of branching processes (60J85) Medical applications (general) (92C50) Cell biology (92C37) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

Unified multivariate survival model with a surviving fraction: an application to a Brazilian customer churn data ⋮ Birth and Death (BDP) Process Models with Applications ⋮ A stochastic model of tumor response to fractionated radiation: limit theorems and rate of convergence

Cites Work

• A parametric regression model of tumor recurrence: An application to the analysis of clinical data on breast cancer
• Asymptotic efficiency of a proportional hazards model with cure
• A Proportional Hazards Model Taking Account of Long-Term Survivors
• Discrete Strategies of Cancer Post-Treatment Surveillance. Estimation and Optimization Problems
• On the Generalized "Birth-and-Death" Process
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