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Calculation of the Cumulative Distribution Function of the Time to a Small Observable Tumor by Claire D. Sherman; Christopher J. Portier is a Biochemistry, Genetics and Molecular Biology article available to read on EtoBox.

What is Calculation of the Cumulative Distribution Function of the Time to a Small Observable Tumor about?

Multistage mathematical models of carcinogenesis (when applied to tumor incidence data) have historically assumed that the growth kinetics of cells in the malignant state are disregarded and the formation of a single malignant cell is equated with the emergence of a detectable tumor. The justification of this simplification is, from a mathematical point of view, to make the estimation of tumor incidence rates tractable. However, analytical forms are not mandatory in the estimation of tumor incidence rates. Portier et al.(1996b, Math. Biosci. 135, 129-146) have demonstrated the utility of the Kolmogorov backward equations in numerically calculating tumor incidence. By extending their results, the cumulative distribution function of the time to a small observable tumor may be numerically obtained.

Who reads Calculation of the Cumulative Distribution Function of the Time to a Small Observable Tumor?

Author

Claire D. Sherman; Christopher J. Portier

Publisher

Springer; Springer-Verlag; Springer New York LLC; Mathematical Biology, Inc; Springer Science and Business Media LLC; Society for Mining, Metallurgy and Exploration Inc. (ISSN 1522-9602)

Published

2000

Language

EN

Field

Biochemistry, Genetics and Molecular Biology (Life Sciences)