Using Mathematical Modeling and Prior Knowledge for QbD in Freeze-Drying Processes

2015 ◽  
pp. 565-593 ◽  
Author(s):  
Davide Fissore ◽  
Roberto Pisano ◽  
Antonello A. Barresi
Keyword(s):  
Mathematical Modeling ◽  
Prior Knowledge ◽  
Freeze Drying

scholarly journals Freeze-drying microscopy in mathematical modeling of a biomaterial freeze-drying

2012 ◽  
Vol 48 (2) ◽  
pp. 203-209 ◽  
Author(s):  
Camila Figueiredo Borgognoni ◽  
Joyce da Silva Bevilacqua ◽  
Ronaldo Nogueira de Moraes Pitombo
Keyword(s):  
Mathematical Modeling ◽  
Freeze Drying ◽  
Drying Process ◽  
Critical Temperatures ◽  
Fundamental Properties ◽  
Moving Interface ◽  
Energy Consuming ◽  
Sublimation Rates ◽  
Time And Energy

Transplantation brings hope for many patients. A multidisciplinary approach on this field aims at creating biologically functional tissues to be used as implants and prostheses. The freeze-drying process allows the fundamental properties of these materials to be preserved, making future manipulation and storage easier. Optimizing a freeze-drying cycle is of great importance since it aims at reducing process costs while increasing product quality of this time-and-energy-consuming process. Mathematical modeling comes as a tool to help a better understanding of the process variables behavior and consequently it helps optimization studies. Freeze-drying microscopy is a technique usually applied to determine critical temperatures of liquid formulations. It has been used in this work to determine the sublimation rates of a biological tissue freeze-drying. The sublimation rates were measured from the speed of the moving interface between the dried and the frozen layer under 21.33, 42.66 and 63.99 Pa. The studied variables were used in a theoretical model to simulate various temperature profiles of the freeze-drying process. Good agreement between the experimental and the simulated results was found.

Foam-Mat Freeze Drying of Egg White and Mathematical Modeling Part I Optimization of Egg White Foam Stability

2008 ◽  
Vol 26 (4) ◽  
pp. 508-512 ◽  
Author(s):  
Arun Muthukumaran ◽  
Cristina Ratti ◽  
Vijaya G. S. Raghavan
Keyword(s):  
Mathematical Modeling ◽  
Freeze Drying ◽  
Foam Stability ◽  
Egg White ◽  
White Foam

Using mathematical modeling to optimize secondary drying stage of lyophilization technology

2020 ◽  
pp. 33-42
Author(s):  
Konstantin Alekseyev ◽  
Evgeniya Blynskaya ◽  
Sergey Tishkov
Keyword(s):  
Mathematical Modeling ◽  
Heat Transfer ◽  
Mathematical Model ◽  
Freeze Drying ◽  
Design Space ◽  
Heat Transfer Fluid ◽  
Drying Process ◽  
Residual Moisture ◽  
Secondary Drying ◽  
Temperature And Pressure

During lyophilization frozen water and moisture associated with dissolved substances are removed, desorption occurs in the process of secondary drying. This stage is one of the main stages of the technological process in terms of duration comparable with primary freeze drying and is of paramount importance for the further storage of lyophilisates. Mathematical modeling of secondary drying and the use of these methods in calculating design space of the process are described in the presented article. The equations for calculating the rate of secondary drying, residual moisture, and other conditions on the basis of values of the temperature of the heat-transfer fluid and pressure in the freezedrying chamber are shown. Possibilities for determining design space boundaries on the basis of the composition of lyophilisate, required values of residual moisture and drying kinetics are demonstrated. The proposed mathematical model makes it possible to estimate the duration of the secondary drying process for various values of temperature and pressure in the chamber within the design space.

Toward the mathematical modeling of heat and mass transfer in vacuum freeze-drying

Cryobiology ◽  
1981 ◽  
Vol 18 (2) ◽  
pp. 155-165 ◽  
Author(s):  
Tsvetan D. Tsvetkov ◽  
Nikolai L. Vulchanov
Keyword(s):  
Mathematical Modeling ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Freeze Drying

Foam-Mat Freeze Drying of Egg White—Mathematical Modeling Part II: Freeze Drying and Modeling

2008 ◽  
Vol 26 (4) ◽  
pp. 513-518 ◽  
Author(s):  
Arun Muthukumaran ◽  
Cristina Ratti ◽  
Vijaya G. S. Raghavan
Keyword(s):  
Mathematical Modeling ◽  
Freeze Drying ◽  
Egg White
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