An exact representation for the generating function for the Moolgavkar-Venzon-Knudson two-stage model of carcinogenesis with stochastic stem cell growth

DOI10.1016/0025-5564(95)00046-1zbMath0838.92014OpenAlexW2069987559WikidataQ51649885 ScholiaQ51649885MaRDI QIDQ1909347

Daniel Krewski, Josef Denes

Publication date: 3 June 1996

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

Full work available at URL: https://doi.org/10.1016/0025-5564(95)00046-1

zbMATH Keywords

probability generating functionhypergeometric differential equationKolmogorov forward equationRiccati-type equationstwo-stage model of carcinogenesis

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Applications of branching processes (60J85) Medical applications (general) (92C50) Linear ordinary differential equations and systems (34A30)

Related Items (3)

Computational tools for assessing gene therapy under branching process models of mutation ⋮ Two stage model for carcinogenesis: Number and size distributions of premalignant clones in longitudinal studies ⋮ Stochastic models of stem cells and their descendants under different criticality assumptions

Cites Work

• Two-event models for carcinogenesis: Incidence curves for childhood and adult tumors
• Stochastic models of HIV epidemic in homosexual populations - the effects of mixing patterns
• A nonhomogeneous two-stage model of carcinogenesis
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