A method is offered for obtaining minimum energy configurations of DNA
minicircles constrained by one or more DNA-binding proteins. The mini
circles are modeled as elastic rods, while the presence of bound prote
in is implied by rigidly fixing portions of these chains. The configur
ations of the geometrically constrained circular rods are sampled stoc
hastically and optimized according to a simple elastic energy model of
nicked DNA. The shapes of the minimum energy structures identified af
ter a simulated annealing process are analyzed in terms of relative pr
otein orientation and writhing number. The procedure is applied to min
icircles 500 base pairs in length, bound to two evenly spaced DNA-wrap
ping proteins. The presence of histone octamers is suggested by rigidl
y fixing the two protein-bound portions of each minicircle as small su
perhelices similar in dimension to nucleosomal DNA. The folded minimum
energy forms of sample chains with different degrees of protein wrapp
ing are noteworthy in themselves in that they offer a new resolution t
o the well-known minichromosome linking number paradox and point to fu
ture minicircle simulations of possible import. (C) 1997 John Wiley &
Sons, Inc.