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Whole Genome Amplification and Branching Processes

Part of: Markov processes

Published online by Cambridge University Press:  01 July 2016

Fengzhu Sun  and
Michael S. Waterman
Fengzhu Sun*
Affiliation:
Emory University
Michael S. Waterman*
Affiliation:
University of Southern California
*
∗ Postal address: Department of Genetics, Emory University School of Medicine, Atlanta, GA 30329, USA.
∗∗ Postal address: Department of Mathematics, University of Southern California, Los Angeles, California 90089-1113, USA.
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Abstract

Whole genome amplification is important for multipoint mapping by sperm or oocyte typing and genetic disease diagnosis. Polymerase chain reaction is not suitable for amplifying long DNA sequences. This paper studies a new technique, designated PEP-primer-extension-preamplification, for amplifying long DNA sequences using the theory of branching processes. A mathematical model for PEP is constructed and a closed formula for the expected target yield is obtained. A central limit theorem and a strong law of large numbers for the number of kth generation target sequences are proved.

Keywords

BRANCHING PROCESSESPEPCENTRAL LIMIT THEOREMSTRONG LAW OF LARGE NUMBERS

MSC classification

Secondary: 60J85: Applications of branching processes
Type
General Applied Probability
Information
Advances in Applied Probability , Volume 29 , Issue 3 , September 1997 , pp. 629 - 668
Copyright
Copyright © Applied Probability Trust 1997 

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