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 language | English |
|---|---|
| Pages (from-to) | 3005-3025 |
| Number of pages | 21 |
| Journal | International Journal of Numerical Methods for Heat and Fluid Flow |
| Volume | 30 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 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