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A limit theorem for the replication time of a DNA molecule

Part of: Limit theorems Physiological, cellular and medical topics Special processes

Published online by Cambridge University Press:  14 July 2016

Richard Cowan ,
S. N. Chiu  and
Lars Holst
Richard Cowan*
Affiliation:
University of Hong Kong
S. N. Chiu*
Affiliation:
University of Hong Kong
Lars Holst*
Affiliation:
Royal Institute of Technology, Stockholm
*
∗Postal address: Department of Statistics, University of Hong Kong, Pokfulam Road, Hong Kong.
∗Postal address: Department of Statistics, University of Hong Kong, Pokfulam Road, Hong Kong.
∗∗Postal address: Department of Mathematics, Royal Institute of Technology, S-100 44 Stockholm, Sweden.
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Abstract

The DNA of higher animals replicates by an interesting mechanism. Enzymes recognise specific sites randomly scattered on the molecule and establish a bidirectional process of unwinding and replication from these sites. We investigate the limiting distribution of the completion time for this process by considering related coverage problems investigated by Janson (1983) and Hall (1988).

Keywords

DNA REPLICATIONASYMPTOTICSCOVERAGE

MSC classification

Primary: 92C40: Biochemistry, molecular biology
Secondary: 60F05: Central limit and other weak theorems 60K40: Other physical applications of random processes
Type
Research Papers
Information
Journal of Applied Probability , Volume 32 , Issue 2 , June 1995 , pp. 296 - 303
Copyright
Copyright © Applied Probability Trust 1995 

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References

Hall, P. (1988) Introduction to the Theory of Coverage Processes. Wiley, New York.Google Scholar
Janson, S. (1983) Random coverings of the circle with arcs of random lengths. In Essays in Honour of Carl-Gustav Esseen, ed. Gut, A. and Holst, L. Department of Mathematics, Uppsala University.Google Scholar
Kornberg, A. (1980) DNA Replication. Freeman, San Francisco.Google Scholar
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Vanderbei, R. J. and Shepp, L. A. (1988) A probabilistic model for the time to unravel a strand of DNA. Stoch. Models 4, 299–314.Google Scholar