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- W3087341716 abstract "Programmed to retain active responsivity to environmental stimuli, diverse types of synthetic gels have been attracting interests regarding various applications, such as elastomer biodevices. In a different approach, when the gels are made of tissue‐derived biopolymers, they can act as an artificial extracellular matrix (ECM) for use as soft implants in medicine. To explore the physical properties of hydrogels in terms of statistical thermodynamics, the mean‐field Flory–Huggins–Rehner theory has long been used with various analytical and numerical modifications. Here, we suggest a novel mathematical model on the phase transition of a biological hybrid gel that is sensitive to ambient temperature. To mimic acellular soft tissues, the ECM‐like hydrogel is modeled as a network of biopolymers, such as type I collagen and gelatin, which are covalently crosslinked and swollen in aqueous solvents. Within the network, thermoresponsive synthetic polymer chains are doped by chemical conjugation. Based on the Flory–Huggins–Rehner framework, our analytical model phenomenologically illustrates a well‐characterized volume phase behavior of engineered tissue mimics as a function of temperature by formulating the ternary mixing free energy of the polymer–solvent system and by generalizing the elastic free energy term. With this formalism, the decoupling of the Flory–Huggins interaction parameter between the thermoresponsive polymer and ECM biopolymer enables deriving a simple steady‐state formula for the volume phase transition as a function of the structural and compositional parameters. We show that the doping ratio of thermoresponsive polymers and the Flory–Huggins interaction parameter between biopolymer and water affect the phase transition temperature of the ECM‐like gels." @default.
- W3087341716 created "2020-09-25" @default.
- W3087341716 creator A5079077590 @default.
- W3087341716 date "2020-09-17" @default.
- W3087341716 modified "2023-10-04" @default.
- W3087341716 title "Mathematical modeling of a temperature‐sensitive and tissue‐mimicking gel matrix: Solving the Flory–Huggins equation for an elastic ternary mixture system" @default.
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- W3087341716 doi "https://doi.org/10.1002/mma.6855" @default.
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