Cascade Theory and the Equivalency to Dynamic Equilibrium

There is an equivalency between the approach of cascade theory and the corresponding kinetic equation. 

recall that for building up linear chains in radical polymerization the recursive substitution has been used (cf. Eq. (17.1)). Dendrimers can be built up in a very similar way using 

Here already the dummy x is inserted. Combination of the two equations (17.13) will result in 

Successive substitution of r yields a tree, as shown subsequently in Eq. (17.15). 

In fact, the polycondensation reaction does not proceed like a polymerization reaction. There is no active species, like the growing radical or the growing ion, or a 

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