Mathematical Modeling and Optimization of Cryopreservation in Single Cells

Area of Science:

• Cryobiology
• Biophysics
• Mathematical Modeling

Background:

• Cryobiology is a complex, interdisciplinary field where single approaches have limitations.
• Mathematical modeling is crucial for explaining cryopreservation phenomena and improving protocols.
• Understanding biophysical and biochemical damage mechanisms during cryopreservation is essential.

Purpose of the Study:

• To describe the creation and application of a simplified mathematical model for a single cell in suspension.
• To define key cell parameters for optimal and suboptimal cryopreservation protocols.
• To provide an overview of classical methods for determining optimal protocols using these models.

Main Methods:

• Developing a mathematical model assuming spatial homogeneity for cell quantities.
• Defining critical cell parameters for protocol assessment.
• Reviewing classical optimization techniques for cryopreservation.

Main Results:

• The study outlines a method for building and utilizing a simplified mathematical model for cell cryopreservation.
• It details the critical cell quantities and classical methods for determining optimal protocols.
• Practical considerations such as fitting transport models and optimization with constraints are discussed.

Conclusions:

• Simplified mathematical models are valuable tools for understanding and optimizing cryopreservation.
• The presented approach facilitates the analysis of heat and mass transport during freezing.
• This work provides a foundation for more complex modeling in cryobiology.