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A deterministic mathematical model for the polymerization of hyperbranchedmolecules accounting for substitution, cyclization, and shielding effect hasbeen developed as a system of nonlinear population balances. The solutionobtained by a novel approximation method shows perfect agreement with theanalytical solution in limiting cases and provides, for the first time in thisclass of polymerization problems, full multidimensional results.

polymer

Predicting multidimensional distributive properties of hyperbranched  polymer resulting from AB2 polymerization with substitution, cyclization and  shielding