This paper aims to describe and investigate the mathematical models and numerical modeling of how a cell membrane is affected by a transient ice freezing front combined with the influence of thermal fluctuations and anisotropy.
The study consists of mathematical modeling, validation with an analytical solution, and shows the influence of thermal noises on phase front dynamics and how it influences the freezing process of a single red blood cell. The numerical calculation has been modeled in the framework of the phase field method with a Cahn–Hilliard formulation of a free energy functional.
The results show an influence scale on directional phase front propagation dynamics and how significant are stochastic thermal noises in micro-scale freezing.
The numerical calculation has modeled in the framework of the phase field method with a Cahn–Hilliard formulation of a free energy functional.
The authors wish to thank the Japan Society for the Promotion of Science (JSPS) and Ministry of Education, Culture, Sports, Science and Technology – Japan (MEXT) for ﬁnancial support of this project with the internal research funds of Department of Thermodynamics, Theory of Machines and Thermal Systems at Wrocław University of Science and Technology, Poland, internal Grant No. 0401/0172/17.
Part of the experimental results in this research were obtained using supercomputing resources at Cyberscience Center, Tohoku University.
Smakulski, P., Pietrowicz, S. and Ishimoto, J. (2019), "The numerical modeling of cell freezing in binary solution under subcooling conditions", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 6, pp. 3005-3025. https://doi.org/10.1108/HFF-12-2018-0740Download as .RIS
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