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Local Rule Mechanism for Selecting Icosahedral Shell Geometry
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Bonnie Berger, Jonathan King, Russell S. Schwartz, and Peter W. Shor
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Local rules are given for various virus capsid, or protein shell,
geometries. Local rules specify local interaction patterns that can
direct the self-assembly of coat and scaffolding subunits into
different capsid geometries. They provide a mathematical abstraction
allowing combinatorial analysis of possible assembly pathways. Local
rules and simulations are provided for a geometry called "T=7" such
that a small change in the rules produces an alternate "T=4"
geometry. This is intriguing since evidence has been accumulating that
some "T=7" capsids are closely related to "T=4" capsids.
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