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A Two‐Stage Kinetics Model for Polydopamine Layer Growth
Author(s) -
Habibi Rad Mojtaba,
Zamanian Ali,
Hadavi Seyed Mohamad Mahdi,
Khanlarkhani Ali
Publication year - 2018
Publication title -
macromolecular chemistry and physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.57
H-Index - 112
eISSN - 1521-3935
pISSN - 1022-1352
DOI - 10.1002/macp.201700505
Subject(s) - gompertz function , kinetics , inflection point , polymerization , growth rate , materials science , thermodynamics , stage (stratigraphy) , process (computing) , mathematics , polymer chemistry , polymer , composite material , statistics , computer science , physics , geometry , operating system , paleontology , quantum mechanics , biology
Since its introduction, polydopamine coating has played a significant role in the surface modification of various materials, yet a persistent gap exists in understanding its polymerization process. Applying Gompertz' equation, this paper proposes a kinetics model based on the data reported in the literature and obtained at different temperatures and on various substrates. Along with a statistically good regression, the selection of Gompertz' equation is supported by the observed trend in the reported data: regardless of the substrate and the system temperature, the point where 37–40% of the final film thickness is reached precisely coincides with the inflection point of the Gompertz' curve. The proposed kinetics model suggests a two‐stage polymerization process, with the maximum growth rate occurring at 37–40% of the final film thickness. The maximum growth rate increases with temperature. However, at higher temperatures, the system needs more time to reach the maximum growth rate.