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A stochastic model of fragment formation when DNA replicates. (English) Zbl 0798.92016

Summary: The double-stranded molecule, DNA, has the unique property of replication and, because of this, it is the central molecule of life. The mechanism of replication for each single strand is intricate, involving enzymes which move along each of the single strands building a complementary copy. At the frontier of this action, the events have a strong stochastic character due to the random location on the DNA of key ‘sites’ where copying commences.
A model of this process is analysed. The central problem of interest is the mean length of certain ‘islands’ of newly replicated DNA developed at the randomly located ‘sites’. These islands, which have been observed experimentally, are called Okazaki fragments.

MSC:

92C40 Biochemistry, molecular biology
60K10 Applications of renewal theory (reliability, demand theory, etc.)
92C45 Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)
92D20 Protein sequences, DNA sequences
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