Models of the globules and hydrated coils

Let us introduce a simple model of the globules. A globule of size is assumed to take a spherical shape into which repeat units are close packed. The radius R is given by the condition An /3.  

We then have the diameter 2/ /caf where k=2(3/4jr) is a numerical constant. 

We also assume that the incoming random coil goes out from a point exactly opposite to the sphere, so that the connecting vector r has the absolute value 2R of the diameter. Hence we have 

The Laplace transform of the end-vector distribution for a globule then takes the form 

We next introduce a simple model for the swollen hydrated coils. The mean end-to-end distance of the chain segment with length f is given by 

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