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A mathematical characterization of the gel point in sol-gel transition

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A mathematical characterization of the gel point in sol-gel transition.pdf (1.282Mb)
Date
2015
Author
Bilge, Ayşe Hümeyra
Pekcan, Önder
Abstract
We model the sol-gel transition in terms of Susceptible-Infected-Removed (SIR) and Susceptible-Exposed-Infected-Removed (SEIR) models and compare with experimental results. We show, numerically, that the "gel point" described as the onset of the gelation phenomena and measured experimentally, corresponds to an accumulation point of the extreme values of the derivatives of the gelation curve. We define the "critical point of a sigmoidal curve" as the limit of the points where the derivatives reach their extreme values, provided that this limit exists.

Source

3rd International Conference on Mathematical Modeling in Physical Sciences (Ic-Msquare 2014)

Volume

574

URI

https://doi.org/10.1088/1742-6596/574/1/012005
https://hdl.handle.net/20.500.12469/3727

Collections

  • Araştırma Çıktıları / Scopus [1565]
  • Araştırma Çıktıları / WOS [1518]
  • Biyoinformatik ve Genetik / Bioinformatics and Genetics [220]
  • Endüstri Mühendisliği / Industrial Engineering [131]

Keywords

Molecular-Size Distribution
Polymers
Gelation

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