A Mathematical Framework for Developing Freezing Protocols in the Cryopreservation of Cells

DOI10.1137/19M1275875zbMath1437.80003MaRDI QIDQ5218743

Mohit P. Dalwadi, I. J. Hewitt, Sarah L. Waters, Helen M. Byrne

Publication date: 5 March 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

moving boundary problemStefan problemasymptotic analysiscryopreservationnumerical resolutionsupercooling

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stefan problems, phase changes, etc. (80A22) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Asymptotic analysis for problems in thermodynamics and heat transfer (80M35) Moving boundary problems for PDEs (35R37)

Related Items (5)

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Uses Software

• Ode15s

Cites Work

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• Analytical optimal controls for the state constrained addition and removal of cryoprotective agents
• Mathematical model formulation and validation of water and solute transport in whole hamster pancreatic islets
• Numerical solution of inward solidification of a dilute ternary solution towards a semi-permeable spherical cell
• Homogenization and porous media
• A multiscale method to calculate filter blockage
• Heat conduction in a melting solid

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