Crumpled globule

Regarding the topological constraint, Grosberg et al. [57] modified the classical theory by incorporating the crumpled globule state and the Mooney-Rivlin type energy contribution. 

Fig. 8. Dependence of non-trivial knot formation probability, p, on swelling parameter, a, in globular state. Points-data from Ref. [29] dashed ttne - approximation in weak compression regime solid line - approximation based on concept of crumpled globule (Eq. (S3))...

The Crumpled Globule State Concept for Estimation of Knot Formation Probability... 

Let us present now the theoretical estimations of the non-trivial knot formation probability p(a) in dense globular state (a < 0.6) based on the concept of crumpled globule proposed in Refs. [64, 65]. 

Let us explain now the concept of the crumpled globule state and estimation (45). 

Fig. 11. Self-similar, segregated on all scales, structure of a crumpled globule...

The system of densely packed globulized crumples corresponds to the chain with the fractal dimension df = 3(df = 3 is realized from the minimal scale, g, up to the full globule size). The value g is in the order of... 

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