Journal
MATHEMATICAL AND COMPUTER MODELLING
Volume 52, Issue 7-8, Pages 977-982Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mcm.2010.02.036
Keywords
Markov process; Frechet derivative; Kronecker matrix representation; Survival analysis; Bladder carcinoma
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Funding
- Generalitat Valenciana [GVPRE/2008/335]
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The aim of this study is to analyze survival until extirpation in bladder carcinoma. For this it is necessary to study the different stages of this chronic disease: multiple recurrences and progression. The sum of two random independent variables is considered, each of them being associated with a homogeneous time-continuous Markovian process of multiple absorbing states. The distribution function of the variable sum is modeled by means of a new associated Markov process. In order to maintain manageable problem dimension we have applied the Frechet derivate and the Kronecker matrix representation. (C) 2010 Elsevier Ltd. All rights reserved.
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