Literature DB >> 8962520

A nonidentifiability aspect of the two-stage model of carcinogenesis.

L G Hanin1.   

Abstract

This paper discusses identifiability of the two-stage birth-death-mutation model of carcinogenesis. It is shown that the homogeneous version of the model is nonidentifiable; the same is all the more evident for its nonhomogeneous versions. This result implies that the model parameters cannot be uniquely estimated from time-to-tumor observations.

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Year:  1996        PMID: 8962520     DOI: 10.1111/j.1539-6924.1996.tb00819.x

Source DB:  PubMed          Journal:  Risk Anal        ISSN: 0272-4332            Impact factor:   4.000


  8 in total

1.  Identifiability of the joint distribution of age and tumor size at detection in the presence of screening.

Authors:  Leonid Hanin; Andrei Yakovlev
Journal:  Math Biosci       Date:  2007-01-12       Impact factor: 2.144

Review 2.  Cancer models, genomic instability and somatic cellular Darwinian evolution.

Authors:  Mark P Little
Journal:  Biol Direct       Date:  2010-04-20       Impact factor: 4.540

3.  A "universal" model of metastatic cancer, its parametric forms and their identification: what can be learned from site-specific volumes of metastases.

Authors:  Leonid Hanin; Karen Seidel; Dietrich Stoevesandt
Journal:  J Math Biol       Date:  2015-08-26       Impact factor: 2.259

4.  Biologically based dose-response model for liver tumors induced by trichloroethylene.

Authors:  C W Chen
Journal:  Environ Health Perspect       Date:  2000-05       Impact factor: 9.031

5.  Why victory in the war on cancer remains elusive: biomedical hypotheses and mathematical models.

Authors:  Leonid Hanin
Journal:  Cancers (Basel)       Date:  2011-01-17       Impact factor: 6.639

6.  Parameter identifiability and redundancy in a general class of stochastic carcinogenesis models.

Authors:  Mark P Little; Wolfgang F Heidenreich; Guangquan Li
Journal:  PLoS One       Date:  2009-12-31       Impact factor: 3.240

7.  Effects of Surgery and Chemotherapy on Metastatic Progression of Prostate Cancer: Evidence from the Natural History of the Disease Reconstructed through Mathematical Modeling.

Authors:  Leonid Hanin; Marco Zaider
Journal:  Cancers (Basel)       Date:  2011-09-20       Impact factor: 6.639

8.  Heterogeneity in multistage carcinogenesis and mixture modeling.

Authors:  Sandro Gsteiger; Stephan Morgenthaler
Journal:  Theor Biol Med Model       Date:  2008-07-21       Impact factor: 2.432

  8 in total

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