Calculating tumor incidence rates in stochastic models of carcinogenesis

DOI10.1016/0025-5564(96)00011-9zbMath0859.92013OpenAlexW2120934387WikidataQ43725620 ScholiaQ43725620MaRDI QIDQ1817440

Claire D. Sherman, Christopher J. Portier, Annette Kopp-Schneider

Publication date: 16 January 1997

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

Full work available at URL: https://doi.org/10.1016/0025-5564(96)00011-9

zbMATH Keywords

carcinogenesistwo-stage modeltime-varying ratesKolmogorov backward equationsarbitrarily complex multistage modelstumor incidence rates

Mathematics Subject Classification ID

Applications of branching processes (60J85) Medical applications (general) (92C50) Computational methods for problems pertaining to biology (92-08) Software, source code, etc. for problems pertaining to biology (92-04)

Related Items (10)

Means and Variances in Stochastic Multistage Cancer Models ⋮ The Dynamic Model for Cancer Relapse Based on Two-Stage Model of Carcinogenesis ⋮ The impact of radiation on the development of lung cancer ⋮ Incorporating observability thresholds of tumors into the two-stage carcinogenesis model ⋮ Modeling cancer detection: Tumor size as a source of information on unobservable stages of carcinogenesis ⋮ The death-mutation model of carcinogenesis ⋮ Modelling and data analysis in cancer studies. Papers of the international conference on carcinogenesis modeling and risk assessment, Park City, UT, USA, Summer 1998 ⋮ A model of multiple tumorigenesis allowing for cell death: Quantitative insight into biological effects of urethane ⋮ Modeling radioprotective mechanisms in the dose effect relation at low doses and low dose rates of ionizing radiation ⋮ Testing goodness of fit for stochastic models of carcinogenesis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Two-event models for carcinogenesis: Incidence curves for childhood and adult tumors
• An equivalence result for integral equations with application to branching processes
• Quantitative analysis of two-dimensional observations of premalignant clones in the presence or absence of malignant tumors
• A stem cell model for carcinogenesis

This page was built for publication: Calculating tumor incidence rates in stochastic models of carcinogenesis