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. 2011 Oct 27;7(10):e1002229. doi: 10.1371/journal.pcbi.1002229

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Scialdone et al.

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.

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Top Panel The SB parameter, , is the normalized average difference of type-A molecule density around type- region of polymers and . Its dynamics, from the initial symmetrical polymer looped state (as in the schematic picture in the Bottom Panel, “Stable Interaction”), is shown for two characteristic values of molecule homotypic interaction energy, (here and ). If , is close to zero: molecules are equally distributed around the polymers. If , after a transient of about ten hours, approaches one, i.e., either or : molecules have aggregated around only one of the polymers, and their binding symmetry is broken (as in the schematic picture in the Bottom Panel, “Symmetry Breaking”). Bottom Panel The phase diagram in the plane (for ) has three phases. If is below the transition line, (red dashed line), the system is in one of its symmetric phases: the “Open State” phase (at low ) or the symmetrical “Stable Interaction” phase. If , the conformational symmetry is broken (“Symmetry Breaking” phase): the type- loop persists only on one randomly chosen polymer, and type- on the other.

Inline graphic — Top Panel The SB parameter, , is the normalized average difference of type-A molecule density around type- region of polymers and . Its dynamics, from the initial symmetrical polymer looped state (as in the schematic picture in the Bottom Panel, “Stable Interaction”), is shown for two characteristic values of molecule homotypic interaction energy, (here and ). If , is close to zero: molecules are equally distributed around the polymers. If , after a transient of about ten hours, approaches one, i.e., either or : molecules have aggregated around only one of the polymers, and their binding symmetry is broken (as in the schematic picture in the Bottom Panel, “Symmetry Breaking”). Bottom Panel The phase diagram in the plane (for ) has three phases. If is below the transition line, (red dashed line), the system is in one of its symmetric phases: the “Open State” phase (at low ) or the symmetrical “Stable Interaction” phase. If , the conformational symmetry is broken (“Symmetry Breaking” phase): the type- loop persists only on one randomly chosen polymer, and type- on the other.