Gin is the site-specific recombination system of bacteriophage mu. It
mediates the inversion of the G-segment of the phage genome resulting in
the expression of alternate sets of tail fiber genes whose products determine
the host range of the phage. Gin is a highly specific recombinase that
requires for its action the presence of three accessory factors: the protein
Fis, an enhancer sequence that contains the binding sites for Fis, and
negatively supercoiled DNA substrate. The tangle model of Sumners et
al (QRB 28, 3 (1995), pp.253-313) is a mathematical tool which
uses the topology of knotted and catenated DNA products of enzyme action
to calculate changes in the topology of the DNA molecules. By doing tangle
analysis of Gin data we proved that the enzyme found in nature uses a (-2,0)
tangle as synaptic complex. Now, in order to better understand Gin's specificity
to the (-2,0) synaptic complex and the roles of the accessory factors in
recombination, a mutant of Gin that requires neither Fis nor negative supercoiling
has been studied (Crisona et al, J Mol Biol 243,3 (1994),pp.437-457).
I will use the tangle model to prove that mutant Gin must use a variety
of different synaptic complexes and that these are all of the form (-n,0)
for a positive integer n. The next questions that arise are: how many of
these synaptic complexes are actually used? Given a knotted product of
mutant Gin recombination, which are the possible pathways that lead to
it? The answers to this questions would help to understand the mechanism
of the mutant Gin and other recombinases, such as Int.
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