Mathematical modeling of surface deformation during vitrification

Yoed Rabin

Research output: Contribution to journalArticlepeer-review

Abstract

Mathematical modeling of surface deformation during cryopreservation by vitrification is presented in this study. The specific problem under consideration is of a cryoprotective agent (CPA) solution vitrifying in a vial, following previously obtained cryomacroscopy observations. A multiphysics solution is proposed in this study, combining coupled effects associated with heat transfer, fluid mechanics, and solid mechanics. Consistent with previous investigations, this study demonstrates that surface deformation is the result of material flow, which is the combined outcome of temperature gradients developed during the inward cooling process, the tendency of the material to change its volume with temperature, and the exponential increase in material viscosity with the decreasing temperature. During this process, the behavior of the CPA changes from liquid to a solid-like amorphous material, where the arrested flow in the vitrified state results in mechanical stresses. Results of this study show a good qualitative agreement of surface deformation with previously obtained experimental data, and support prior investigations to explain fracture tendencies propagating from the deformed surface. Results of this study also highlight the effect of heat convection in the CPA at the early stage of cooling.

Original languageEnglish (US)
Pages (from-to)34-41
Number of pages8
JournalCryobiology
Volume102
DOIs
StatePublished - Oct 2021

Bibliographical note

Funding Information:
This research has been supported in parts by the National Heart Lung and Blood Institute (NHLBI) of the National Institutes of Health (NIH), award numbers R01HL135046 and R01HL127618. This research has also been supported in part by the National Science Foundation (NSF), grant no. EEC 1941543. The content of this study is solely the responsibility of the author and does not necessarily represent the official views of the NIH or the NSF. The author would like to express his gratitude to Dr. Prem K. Solanki from the Biothermal Technology Laboratory at the Department of Mechanical Engineering, Carnegie Mellon University, for insightful discussions about the subject matter of this study.

Funding Information:
This research has been supported in parts by the National Heart Lung and Blood Institute (NHLBI) of the National Institutes of Health (NIH), award numbers R01HL135046 and R01HL127618 . This research has also been supported in part by the National Science Foundation (NSF) , grant no. EEC 1941543 . The content of this study is solely the responsibility of the author and does not necessarily represent the official views of the NIH or the NSF. The author would like to express his gratitude to Dr. Prem K. Solanki from the Biothermal Technology Laboratory at the Department of Mechanical Engineering, Carnegie Mellon University, for insightful discussions about the subject matter of this study.

Publisher Copyright:
© 2021 Elsevier Inc.

Keywords

  • Cryopreservation
  • Fluid mechanics
  • Heat transfer
  • Modeling
  • Multiphysics
  • Solid mechanics
  • Surface deformation
  • Vitrification

PubMed: MeSH publication types

  • Journal Article
  • Research Support, N.I.H., Extramural
  • Research Support, U.S. Gov't, Non-P.H.S.

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