DFG Priority Program (SPP 1253):

Optimization with partial differential equations

Intention of the Chair of Applied Mathematics, Center Mathematics of the Technical University of Munich

Optimal control in cryopreservation of cells and tissues

Project description

• Motivation

• Biological preliminaries

• Hierarchical modeling

• Mathematical submodels and simulations

• SPP 1253/1

• Mean value temperature response model

• Distributed model of ice formation

• Ice formation in the extracellular matrix

• Control of freezing processes

• SPP 1253/2

• Modeling osmotic de- and rehydration of living cells.

• dehydration

• rehydration

• Averaged controlled model of ice formation. Mathematical modeling.

• cell freezing with accounting for supercooling effects

• cell freezing with accounting for the growth of dendrite seeds

• cell thawing with optimization of the osmotic inflow

• cell thawing with accounting for the dendrite growth

• Summary of the current state

Project team

Cooperation

Publications