Fig 1.
Hopf Links and Models proposed to analyze the topological properties of the minicircle network.
A: A Hopf link; B: A grid of minicircles whose orientation has been biased. Volume effects are not considered and minicircle thickness is shown to help trace the trajectory of each minicircle; C: A grid of minicircles represented by freely jointed closed chains to study the effects of DNA bending; D: A grid of minicircles, represented by octagonal polygons, to study the effects of volume exclusion due to electrostatic interactions.
Fig 2.
Estimation of the mean minicircle valence as a function of the minicircle density for biologically significant radii.
The sample size for each data point is 105 and the sizes of the error bars are less than the sizes of the plotted data points.
Fig 3.
Relationship between the linking probability (LP) of rigid (Geo Circ) and freely jointed minicircles (ERP) with volume exclusion.
Fig 4.
Estimated average saturation density for various restriction angles.
Each data point in the figures is based on samples of sample size 1000 and minicircle grids of dimension 1000 × 1000. The 95% standard error bars are less than.0005 in all cases.