Kinetic model of two-monomer polymerization.

Journal Article (Journal Article)

We propose a kinetic gelation model of polymer growth with two monomeric types that have distinct functionalities (reaction sites), and can polymerize using different reaction types. The heterotypic aggregation of two monomer types is modeled using a moment generating function approach by tracking the temporal evolution of a closed system of moment equations up until gelation. We investigate several scenarios of polymerization with two distinct monomers that differ in the types of reactions that can occur. We determine numerical and analytical conditions for finite time blow-up (the emergence of an oligomer of infinite size) that depend on initial conditions, reaction rates, and number of reaction sites per monomer.

Full Text

Duke Authors

Cited Authors

  • Nelson, AC; Keener, JP; Fogelson, AL

Published Date

  • February 2020

Published In

Volume / Issue

  • 101 / 2-1

Start / End Page

  • 022501 -

PubMed ID

  • 32168560

Electronic International Standard Serial Number (EISSN)

  • 2470-0053

International Standard Serial Number (ISSN)

  • 2470-0045

Digital Object Identifier (DOI)

  • 10.1103/physreve.101.022501


  • eng