Mathematical Modelling of the Primary and Secondary Drying Stages of Bulk Solution Freeze-Drying in Trays: Parameter Estimation and Model Discrimination by Comparison of Theoretical Results With Experimental Data

Sadıkoğlu, Hasan; Liapis, Athanasios I.

doi:10.1080/07373939708917262

Cited by 145 publications

(104 citation statements)

References 8 publications

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“…The use of the rigorous unsteady state mathematical model of Sadikoglu and Liapis has been found to describe satisfactorily the experimental dynamic behavior of the primary and secondary drying stages of bulk solution freeze drying of pharmaceuticals in trays [10].…”

Section: Introductionmentioning

confidence: 99%

“…Several mathematical equations describing mass and energy transfer have been developed for modeling the freeze-drying process [9][10][11]. Such models account for the removal of frozen water only (sublimation model) or the removal of frozen and bound water (sorption sublimation model), examine the methods of supplying heat and the diffusion mechanisms, describe steady or unsteady state processes, or analyze both transfers under various processing conditions.…”

Section: Introductionmentioning

confidence: 99%

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Freeze-Drying Kinetics Approach of Soluble Coffee. Mass Transfer Parameters Estimation

Ghirişan¹,

Drăgan²,

Miclăuş³

2017

Studia UBB Chemia

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ABSTRACT. The present paper presents the freeze-drying kinetics of soluble coffee in order to determine the mass transfer parameters. Several semi-theoretical and empirical models were used to find the best fit to the experimental data. The applied models were compared using the coefficient of determination (R 2 ), the mean relative percent error (P), the root mean square error (RMSE) and the reduced chi-square ( 2 ). The Midilli model was found to fit better to the experimental freeze-drying data comparative to other models. The Fick's second law was employed to determine the effective diffusion coefficient (Deff).

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Freeze-Drying Kinetics Approach of Soluble Coffee. Mass Transfer Parameters Estimation

Ghirişan¹,

Drăgan²,

Miclăuş³

2017

Studia UBB Chemia

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“…In order to assess the effect of Tfluid and Pc on product temperature in the primary drying stage a one-dimensional model can be used [16][17][18][19][20][21]. The heat flux to the product (Jq) is proportional to the temperature difference between the heating fluid and the product at the bottom of the container (TB):…”

Section: Introductionmentioning

confidence: 99%

Computer-Aided Framework for the Design of Freeze-Drying Cycles: Optimization of the Operating Conditions of the Primary Drying Stage

Fissore

Pisano

2015

Processes

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This paper deals with the freeze-drying process and, in particular, with the optimization of the operating conditions of the primary drying stage. When designing a freeze-drying cycle, process control aims at obtaining the values of the operating conditions (temperature of the heating fluid and pressure in the drying chamber) resulting in a product temperature lower than the limit value of the product, and in the shortest drying time. This is particularly challenging, mainly due to the intrinsic nonlinearity of the system. In this framework, deep process knowledge is required for deriving a suitable process dynamic model that can be used to calculate the design space for the primary drying stage. The design space can then be used to properly design (and optimize) the process, preserving product quality. The case of a product whose dried layer resistance, one of the key model parameters, is affected by the operating conditions is addressed in this paper, and a simple and effective method to calculate the design space in this case is presented and discussed.

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“…VirTis freeze-drying system for PCR plates (vertical stripes), PCR plates with custom designed Al block (horizontal stripes), and 2R tubing vials (diagonal stripes). Graph plotted using data from (29) literature that describes the freeze-drying process (12,(31)(32)(33)(34)(35)(36)(37). There are differences between these models such as assumptions regarding the geometry of the ice sublimation interface, initial conditions, boundary conditions, and several other basic assumptions.…”

Section: Theoretical Modelingmentioning

confidence: 99%

Emerging Freeze-Drying Process Development and Scale-up Issues

Patel¹,

Pikal

2011

AAPS PharmSciTech

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Abstract. Although several guidelines do exist for freeze-drying process development and scale-up, there are still a number of issues that require additional attention. The objective of this review article is to discuss some emerging process development and scale-up issue with emphasis on effect of load condition and freeze-drying in novel container systems such as syringes, Lyoguard trays, ampoules, and 96-well plates. Understanding the heat and mass transfer under different load conditions and for freeze-drying in these novel container systems will help in developing a robust freeze-drying process which is also easier to scale-up. Further research and development needs in these emerging areas have also been addressed.

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Mathematical Modelling of the Primary and Secondary Drying Stages of Bulk Solution Freeze-Drying in Trays: Parameter Estimation and Model Discrimination by Comparison of Theoretical Results With Experimental Data

Cited by 145 publications

References 8 publications

Freeze-Drying Kinetics Approach of Soluble Coffee. Mass Transfer Parameters Estimation

Freeze-Drying Kinetics Approach of Soluble Coffee. Mass Transfer Parameters Estimation

Computer-Aided Framework for the Design of Freeze-Drying Cycles: Optimization of the Operating Conditions of the Primary Drying Stage

Emerging Freeze-Drying Process Development and Scale-up Issues

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