Table I.

The shapes of polymers within confining spheres

Packing fraction Axial ratios 
    %  
Linear (no territories)  
Flexiblea  
    1.2 1:1.88:4.34 
    9.4 1:1.77:3.77 
    21.7 1:1.69:3.45 
Stiffb  
    1.2 1:1.99:4.46 
    9.4 1:2.01:3.49 
    21.7 1:1.71:2.58 
Rosettes (30-kbp loops; territories)  
Flexiblea  
    1.2 1:1.16:1.34 
    9.4 1:1.17:1.36 
    21.7 1:1.33:1.71 
Stiffb  
    1.2 1:1.19:1.37 
    9.4 1:1.20:1.38 
    21.7 1:1.64:2.85c 
Rosettes (60-kbp loops; territories)  
Flexiblea  
    1.2 1:1.35:1.68 
    9.4 1:1.34:1.71 
    21.7 1:1.46:2.37c 
Stiffb  
    1.2 1:1.44:1.92 
    9.4 1:1.52:2.12 
    21.7 1:1.72:2.89c 
Packing fraction Axial ratios 
    %  
Linear (no territories)  
Flexiblea  
    1.2 1:1.88:4.34 
    9.4 1:1.77:3.77 
    21.7 1:1.69:3.45 
Stiffb  
    1.2 1:1.99:4.46 
    9.4 1:2.01:3.49 
    21.7 1:1.71:2.58 
Rosettes (30-kbp loops; territories)  
Flexiblea  
    1.2 1:1.16:1.34 
    9.4 1:1.17:1.36 
    21.7 1:1.33:1.71 
Stiffb  
    1.2 1:1.19:1.37 
    9.4 1:1.20:1.38 
    21.7 1:1.64:2.85c 
Rosettes (60-kbp loops; territories)  
Flexiblea  
    1.2 1:1.35:1.68 
    9.4 1:1.34:1.71 
    21.7 1:1.46:2.37c 
Stiffb  
    1.2 1:1.44:1.92 
    9.4 1:1.52:2.12 
    21.7 1:1.72:2.89c 

Sets of 46 linear fibers or 46 rosettes (with 10 loops of 30 kbp, as in Fig. 3, or 5 loops of 60 kbp, as in Fig. 2 C) were confined in a sphere and allowed to diffuse in the computer until they reached equilibrium; the shapes of the resulting fibers were then examined. Values are given for the packing fraction and axial ratios (for each of the three principal axes of the ellipsoid of inertia, a, b, and c). Territories in mouse lymphocytes have axial ratios of 1:2.9:4.5 (Khalil et al., 2007).

a

ξ = 40 nm.

b

ξ = 150 nm.

c

Only rosettes at the high packing fraction give both territories and ratios that approach those seen in cells.

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