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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 46, 2004 - Issue 7
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Original Articles

AN OPTIMAL CONTROL PROBLEM FOR CRYOPRESERVATION OF CELLS USING ULTRARAPID FREEZING TECHNIQUE

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Pages 695-715 | Received 01 Dec 2003, Accepted 01 Jun 2004, Published online: 17 Aug 2010
 

Abstract

An optimal control algorithm for cryopreservation of cells using ultrarapid freezing technique is applied successfully in the present study to determine the strength of optimal laser heating based on the desired limited temperature distribution of the cell. The validity of this optimal control analysis utilizing the conjugate gradient method of minimization is examined using numerical experiments. Three different heating times are given, and the corresponding optimal control heat fluxes are determined. Results show that the optimal boundary heat fluxes can be obtained with any arbitrary initial guesses within a very short CPU time on a Pentium III 600-MHz PC.

This work was supported in part through the National Science Council, R.O.C., Grant number NSC-91-2611-E-006-003.

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