Title:
Finite-Difference Model of Cell Dehydration During Cryopreservation

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dc.contributor.advisor Karlsson, Jens O. M.
dc.contributor.author Carnevale, Kevin A. en_US
dc.contributor.committeeMember Udaykumar, H.S.
dc.contributor.committeeMember Wick, Timothy
dc.contributor.department Mechanical Engineering en_US
dc.date.accessioned 2005-09-16T15:19:34Z
dc.date.available 2005-09-16T15:19:34Z
dc.date.issued 2004-04-30 en_US
dc.description.abstract A numerical model for describing the kinetics of intracellular water transport during cryopreservation was developed. As ice is formed outside the cell, depleting the extracellular liquid of water, the cell will experience an osmotic pressure difference across its membrane, which causes cell dehydration and concomitant shrinkage. Although Mazur (1963) has previously modeled this phenomenon as a two-compartment system with membrane limited transport, the assumption of well-mixed compartments breaks down at large Biot numbers. Therefore, we have developed a numerical solution to this moving-boundary problem, including diffusive transport in the intracellular liquid, in addition to the osmotically driven membrane flux. Our model uses a modified Crank-Nicolson scheme with a non-uniform Eulerian-Lagrangian grid, and is able to reproduce predictions from Mazurs model at low Biot numbers, while generating novel predictions at high Biot numbers. Given that cell damage may result from excessive water loss, our model can be used to predict freezing methods that minimize the probability of cell injury during the cryopreservation process. en_US
dc.description.degree M.S. en_US
dc.format.extent 1467040 bytes
dc.format.mimetype application/pdf
dc.identifier.uri http://hdl.handle.net/1853/7258
dc.language.iso en_US
dc.publisher Georgia Institute of Technology en_US
dc.subject Cryobiology en_US
dc.subject Cryopreservation
dc.subject Membrane permeability
dc.subject Vitrification
dc.subject Membrane-limited water transport
dc.subject Diffusion-limited water transport
dc.subject Crank-Nicolson
dc.subject Biot number
dc.subject Peclet number
dc.subject Dimensional analysis
dc.subject Cell dehydration
dc.subject Mathematical models
dc.subject Finite differences
dc.title Finite-Difference Model of Cell Dehydration During Cryopreservation en_US
dc.type Text
dc.type.genre Thesis
dspace.entity.type Publication
local.contributor.corporatename George W. Woodruff School of Mechanical Engineering
local.contributor.corporatename College of Engineering
relation.isOrgUnitOfPublication c01ff908-c25f-439b-bf10-a074ed886bb7
relation.isOrgUnitOfPublication 7c022d60-21d5-497c-b552-95e489a06569
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