The numerical modeling of cell freezing in binary solution under subcooling conditions. Issue 6 (31st July 2019)

• Record Type: Journal Article
• Authors: Smakulski, Przemysław; Pietrowicz, Sławomir; Ishimoto, Jun
• Is Part Of: International journal of numerical methods for heat & fluid flow. Volume 30:Issue 6(2020)
• Page Start: 3005
• Page End: 3025
• Publication Date: 2019-07-31
• Subjects: Phase field method -- Cell cryopreservation -- Ice propagation; Heat -- Transmission -- Mathematics -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 536.2
• DOI: 10.1108/HFF-12-2018-0740
• Languages: English
• ISSNs: 0961-5539

Abstract

Abstract : Purpose: 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. Design/methodology/approach: 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. Findings: The results show an influence scale on directional phase front propagation dynamics and how significant are stochastic thermal noises in micro-scale freezing. Originality/value: The numerical calculation has modeled in the framework of the phase field method with a Cahn–Hilliard formulation of a free energy functional.