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

    Authors:Bilge, Ayşe Hümeyra; Pekcan, Önder
    Publisher and Date:(IOP Publishing Ltd, 2015)
    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 ...