Modeling cancer detection: Tumor size as a source of information on unobservable stages of carcinogenesis

DOI10.1016/S0025-5564(01)00058-XzbMath0998.92021WikidataQ47208991 ScholiaQ47208991MaRDI QIDQ5945804

Leonid G. Hanin, Lutz Edler, Annette Kopp-Schneider, Robert Bartoszyński, Alexander D. Tsodikov, Alexander V. Zorin, Andrej Yu. Yakovlev, Lyudmila V. Pavlova

Publication date: 9 October 2002

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

zbMATH Keywords

identifiabilitymetastatic processmodel stabilityquantal responsethreshold model

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Medical applications (general) (92C50)

Related Items (11)

Spatial invasion dynamics on random and unstructured meshes: implications for heterogeneous tumor populations ⋮ Does extirpation of the primary breast tumor give boost to growth of metastases? Evidence revealed by mathematical modeling ⋮ Identifiability of the joint distribution of age and tumor size at detection in the presence of screening ⋮ Statistical models of tumour onset and growth for modern breast cancer screening cohorts ⋮ A mathematical framework for modelling the metastatic spread of cancer ⋮ Random effects models of lymph node metastases in breast cancer: quantifying the roles of covariates and screening using a continuous growth model ⋮ On a new NBUE property in multivariate sense: an application ⋮ A stochastic model for the sizes of detectable metastases ⋮ Multivariate distributions of clinical covariates at the time of cancer detection ⋮ Simulation-based parameter estimation for complex models: a breast cancer natural history modelling illustration ⋮ A unifying framework for continuous tumour growth modelling of breast cancer screening data

Uses Software

• pyuvdata

Cites Work

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