Download the full-sized PDF of The application of the multisolute osmotic virial equation to cryobiologyDownload the full-sized PDF



Permanent link (DOI):


Export to: EndNote  |  Zotero  |  Mendeley


This file is in the following communities:

Graduate Studies and Research, Faculty of


This file is in the following collections:

Theses and Dissertations

The application of the multisolute osmotic virial equation to cryobiology Open Access


Other title
intracellular ice formation
multisolute solution theory
intracellular supercooling
cryobiological modelling
non-ideal osmotic equilibrium
solution thermodynamics
osmotic virial equation
Type of item
Degree grantor
University of Alberta
Author or creator
Prickett, Richelle Catherine
Supervisor and department
Elliott, Janet A.W. (Chemical and Materials Engineering)
McGann, Locksley E. (Laboratory Medicine and Pathology)
Examining committee member and department
Rubinsky, Boris (Hebrew University of Jerusalem and University of California at Berkeley)
Gray, Murray (Chemical and Materials Engineering)
Keelan, Monika (Laboratory Medicine and Pathology)
Bhattacharjee, Subir (Mechanical Engineering)
Chemical and Materials Engineering and Medical Sciences - Laboratory Medicine and Pathology

Date accepted
Graduation date
Doctor of Philosophy
Degree level
Mathematical modelling of cellular osmotic responses to low temperatures is being increasingly used to overcome obstacles in the successful cryopreservation of cells and tissues. Current cryobiological models often contain simplifying assumptions regarding the solution behaviour of the complicated, multisolute intra- and extra-cellular solutions. In order to obtain more accurate predictions of cryobiological outcomes, equations derived from thermodynamic principles that more accurately describe the biological solution behaviour could be used to greatly advance the design of novel cryopreservation protocols. The general hypothesis of this thesis is that the application of the multisolute osmotic virial equation, with mixing rules derived from thermodynamic first principles, to solutions of interest in cryobiology will result in more accurate predictions of the multisolute solution behaviour, which will lead to improved cryobiological modelling and increased understanding of cellular responses to cryopreservation. Specifically, this thesis demonstrates that the osmotic virial coefficients, obtained from single-solute solution data, can be used in the multisolute osmotic virial equation to accurately predict the multisolute solution behaviour, without the need to fit multisolute solution data. The form of the multisolute osmotic virial equation proposed in this thesis was used to predict the solution behaviour of a range of multisolute solutions of interest in cryobiology. The equation commonly used in cryobiology to describe cellular osmotic equilibrium is based on ideal, dilute solution assumptions. In this thesis, a non-ideal osmotic equilibrium equation was derived and, combined with the multisolute osmotic virial equation, used to more accurately predict the osmotic equilibrium of human erythrocytes. The improved equations proposed in this thesis were combined with experimental measurements of the incidence of intracellular ice formation in order to further the understanding of the role of several important cryobiological parameters on the formation of intracellular ice. This thesis work has significantly contributed to the field of cryobiology by substantially improving the accuracy of two key equations used in the modelling of cellular osmotic responses to cryopreservation. The combination of accurate mathematical modelling and results from experiments will allow increased understanding of cellular responses to cryopreservation, leading to the design of novel cryopreservation protocols.
License granted by Richelle Prickett ( on 2009-12-03T17:22:26Z (GMT): Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of the above terms. The author reserves all other publication and other rights in association with the copyright in the thesis, and except as herein provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
Citation for previous publication

File Details

Date Uploaded
Date Modified
Audit Status
Audits have not yet been run on this file.
File format: pdf (Portable Document Format)
Mime type: application/pdf
File size: 7734304
Last modified: 2015:10:12 16:56:05-06:00
Filename: Prickett_Richelle_Spring 2010.pdf
Original checksum: 9173f7306a5233d185cef1d2c471067b
Well formed: true
Valid: true
File title: title pages _final copy.pdf
File title: University of Alberta
File author: lross
Page count: 318
Activity of users you follow
User Activity Date