Modelling the influence of antifreeze proteins on three-dimensional ice crystal melt shapes using a geometric approach

Jun Jie Liu; Yangzong Qin; Maya Bar Dolev; Yeliz Celik; J. S. Wettlaufer; Ido Braslavsky

doi:10.1098/rspa.2011.0720

Modelling the influence of antifreeze proteins on three-dimensional ice crystal melt shapes using a geometric approach

Jun Jie Liu, Yangzong Qin, Maya Bar Dolev, Yeliz Celik, J. S. Wettlaufer, Ido Braslavsky^*

^*Corresponding author for this work

Institute of Biochemistry, Food Science and Nutrition

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3 Scopus citations

Abstract

The melting of pure axisymmetric ice crystals has been described previously by us within the framework of so-called geometric crystal growth. Non-equilibrium ice crystal shapes evolving in the presence of hyperactive antifreeze proteins (hypAFPs) are experimentally observed to assume ellipsoidal geometries (lemon or rice shapes). To analyse such shapes, we harness the underlying symmetry of hexagonal ice Ih and extend two-dimensional geometric models to three-dimensions to reproduce the experimental dissolution process. The geometrical model developed will be useful as a quantitative test of the mechanisms of interaction between hypAFPs and ice.

Original language	English
Pages (from-to)	3311-3322
Number of pages	12
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	468
Issue number	2147
DOIs	https://doi.org/10.1098/rspa.2011.0720
State	Published - 8 Nov 2012

Keywords

Antifreeze proteins
Geometric model
Ice binding proteins
Ice structuring proteins
Melting shape

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10.1098/rspa.2011.0720

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title = "Modelling the influence of antifreeze proteins on three-dimensional ice crystal melt shapes using a geometric approach",

abstract = "The melting of pure axisymmetric ice crystals has been described previously by us within the framework of so-called geometric crystal growth. Non-equilibrium ice crystal shapes evolving in the presence of hyperactive antifreeze proteins (hypAFPs) are experimentally observed to assume ellipsoidal geometries (lemon or rice shapes). To analyse such shapes, we harness the underlying symmetry of hexagonal ice Ih and extend two-dimensional geometric models to three-dimensions to reproduce the experimental dissolution process. The geometrical model developed will be useful as a quantitative test of the mechanisms of interaction between hypAFPs and ice.",

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Modelling the influence of antifreeze proteins on three-dimensional ice crystal melt shapes using a geometric approach. / Liu, Jun Jie; Qin, Yangzong; Bar Dolev, Maya et al.
In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 468, No. 2147, 08.11.2012, p. 3311-3322.

Research output: Contribution to journal › Article › peer-review

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AU - Liu, Jun Jie

AU - Qin, Yangzong

AU - Bar Dolev, Maya

AU - Celik, Yeliz

AU - Wettlaufer, J. S.

AU - Braslavsky, Ido

PY - 2012/11/8

Y1 - 2012/11/8

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AB - The melting of pure axisymmetric ice crystals has been described previously by us within the framework of so-called geometric crystal growth. Non-equilibrium ice crystal shapes evolving in the presence of hyperactive antifreeze proteins (hypAFPs) are experimentally observed to assume ellipsoidal geometries (lemon or rice shapes). To analyse such shapes, we harness the underlying symmetry of hexagonal ice Ih and extend two-dimensional geometric models to three-dimensions to reproduce the experimental dissolution process. The geometrical model developed will be useful as a quantitative test of the mechanisms of interaction between hypAFPs and ice.

KW - Antifreeze proteins

KW - Geometric model

KW - Ice binding proteins

KW - Ice structuring proteins

KW - Melting shape

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JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

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Modelling the influence of antifreeze proteins on three-dimensional ice crystal melt shapes using a geometric approach

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Keywords

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