Literature DB >> 8692876

A distribution of tumor size at detection and its limiting form.

A Y Yakovlev1, L G Hanin, S T Rachev, A D Tsodikov.   

Abstract

A distribution of tumor size at detection is derived within the framework of a mechanistic model of carcinogenesis with the object of estimating biologically meaningful parameters of tumor latency. Its limiting form appears to be a generalization of the distribution that arises in the length-biased sampling from stationary point processes. The model renders the associated estimation problems tractable. The usefulness of the proposed approach is illustrated with an application to clinical data on premenopausal breast cancer.

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Year:  1996        PMID: 8692876      PMCID: PMC39084          DOI: 10.1073/pnas.93.13.6671

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN: 0027-8424            Impact factor:   11.205


  6 in total

Review 1.  A diversity of responses displayed by a stochastic model of radiation carcinogenesis allowing for cell death.

Authors:  A Yakovlev; E Polig
Journal:  Math Biosci       Date:  1996-02       Impact factor: 2.144

2.  The exact formula for tumor incidence in the two-stage model.

Authors:  A Kopp-Schneider; C J Portier; C D Sherman
Journal:  Risk Anal       Date:  1994-12       Impact factor: 4.000

3.  Age as prognostic factor in premenopausal breast carcinoma.

Authors:  A de la Rochefordiere; B Asselain; F Campana; S M Scholl; J Fenton; J R Vilcoq; J C Durand; P Pouillart; H Magdelenat; A Fourquet
Journal:  Lancet       Date:  1993-04-24       Impact factor: 79.321

4.  A stochastic model of radiation carcinogenesis: latent time distributions and their properties.

Authors:  L B Klebanov; S T Rachev
Journal:  Math Biosci       Date:  1993-01       Impact factor: 2.144

5.  Mutation and cancer: a model for human carcinogenesis.

Authors:  S H Moolgavkar; A G Knudson
Journal:  J Natl Cancer Inst       Date:  1981-06       Impact factor: 13.506

6.  Nonparametric estimation of the size-metastasis relationship in solid cancers.

Authors:  M Kimmel; B J Flehinger
Journal:  Biometrics       Date:  1991-09       Impact factor: 2.571

  6 in total
  1 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

  1 in total

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