Stochastic modeling of carcinogenesis: State space models and estimation of parameters

W. Y. Tan; L.-J. Zhang; C.W. Chen

doi:10.3934/dcdsb.2004.4.297

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2004, Volume 4, Issue 1: 297-322. Doi: 10.3934/dcdsb.2004.4.297

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Stochastic modeling of carcinogenesis: State space models and estimation of parameters

1.
Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152
2.
United States Environmental Protection Agency (EPA), Washington DC 20460

Received: December 2002

Revised: September 2003

Published: February 2004

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Abstract

In this paper we have developed a state space model for carcinogenesis. By using this state space model we have also developed statistical procedures to estimate the unknown parameters via multi-level Gibbs sampling method. We have applied this model and the methods to the British physician data on lung cancer with smoking. Our results indicate that the tobacco nicotine is an initiator. If $t > 60$ years old, then the tobacco nicotine is also a promoter.

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Mathematics Subject Classification: 91B70.

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