The numerical modeling of cell freezing in binary solution under subcooling conditions

Przemysław Smakulski, Sławomir Pietrowicz, Jun Ishimoto

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)3005-3025
Number of pages21
JournalInternational Journal of Numerical Methods for Heat and Fluid Flow
Volume30
Issue number6
DOIs
Publication statusPublished - 2019 Jul 24

Keywords

  • Cell cryopreservation
  • Ice propagation
  • Phase field method

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

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