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Assessing molecular variability in cancer genomes


Barbour, A D; Tavaré, S (2010). Assessing molecular variability in cancer genomes. In: Bingham, N H; Goldie, C M; Kingman, J F C. Probability and mathematical genetics. Cambridge: Cambridge Univ. Press, 91-112.

Abstract

The dynamics of tumour evolution are not well understood. In this paper we provide a statistical framework for evaluating the molecular variation observed in different parts of a colorectal tumour. A multi-sample version of the Ewens Sampling Formula forms the basis for our modelling of the data, and we provide a simulation procedure for use in obtaining reference distributions for the statistics of interest. We also describe the large-sample asymptotics of the joint distributions of the variation observed in different parts of the tumour. While actual data should be evaluated with reference to the simulation procedure, the asymptotics serve to provide theoretical guidelines, for instance with reference to the choice of possible statistics.

The dynamics of tumour evolution are not well understood. In this paper we provide a statistical framework for evaluating the molecular variation observed in different parts of a colorectal tumour. A multi-sample version of the Ewens Sampling Formula forms the basis for our modelling of the data, and we provide a simulation procedure for use in obtaining reference distributions for the statistics of interest. We also describe the large-sample asymptotics of the joint distributions of the variation observed in different parts of the tumour. While actual data should be evaluated with reference to the simulation procedure, the asymptotics serve to provide theoretical guidelines, for instance with reference to the choice of possible statistics.

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Additional indexing

Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:July 2010
Deposited On:23 Dec 2010 13:59
Last Modified:05 Apr 2016 14:16
Publisher:Cambridge Univ. Press
Series Name:London Mathematical Society lecture note series
Number:378
ISSN:0076-0552
ISBN:978-0-5211-4577-0
Official URL:http://www.cup.cam.ac.uk/catalogue/catalogue.asp?isbn=9780521145770
Related URLs:http://arxiv.org/abs/1004.4116
Permanent URL: http://doi.org/10.5167/uzh-36257

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