Browsing Elektrik-Elektronik Mühendisliği / Electrical - Electronics Engineering by KHAS Author "Bilge, Ayşe Hümeyra"
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Epidemic models for phase transitions: application to a physical gel
Authors:Bilge, Ayşe Hümeyra; Pekcan, Önder; Kara, Selim; Öǧrenci, Arif Selçuk
Publisher and Date:(Taylor & Francis Ltd, 2017)Carrageenan gels are characterized by reversible sol-gel and gel-sol transitions under cooling and heating processes and these transitions are approximated by generalized logistic growth curves. We express the transitions of carrageenan-water system as a representative of reversible physical gels in terms of a modified Susceptible-Infected-Susceptible epidemic model as opposed to the Susceptible-Infected-Removed model used to represent the (irreversible) chemical gel formation in the previous work. ...
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Mathematical Characterization of Thermo-reversible Phase Transitions of Agarose Gels
Authors:Öǧrenci, Arif Selçuk; Pekcan, Önder; Kara, Selim; Bilge, Ayşe Hümeyra
Publisher and Date:(Taylor & Francis Inc, 2018)The thermal phase transition temperatures of high (HMP) and low melting point (LMP) agarose gels were investigated by using UV-vis spectroscopy techniques. Transmitted light intensities from the gel samples with different agarose concentrations were monitored during the heating (gel-sol) and cooling (sol-gel) processes. It was observed that the transition temperatures T-m defined as the location of the maximum of the first derivative of the sigmoidal transition paths obtained from the UV-vis ...
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Mathematical models for phase transitions in biogels
Authors:Bilge, Ayşe Hümeyra; Öğrenci, Arif Selçuk; Pekcan, Önder
Publisher and Date:(World Scientific Publ Co Pte Ltd, 2019)It has been shown that reversible and irreversible phase transitions of biogels can be represented by epidemic models. The irreversible chemical sol-gel transitions are modeled by the Susceptible-Exposed-Infected-Removed (SEIR) or Susceptible-Infected-Removed (SIR) epidemic systems whereas reversible physical gels are modeled by a modification of the Susceptible-Infected-Susceptible (SIS) system. Measured sol-gel and gel-sol transition data have been fitted to the solutions of the epidemic models, ...