Prediction of crystallization coefficients of the population balance

Mersmann, Alfons; Braun, B.; Löffelmann, Michael

doi:10.1016/s0009-2509(02)00343-3

Cited by 50 publications

(57 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Primary nucleation can occur homogenously or heterogeneously [16]. Supersaturation controls the dominant mechanisms [17]. In this study, the nucleation rate under varied precipitant concentrations and protein supersaturation was measured.…”

Section: Nucleation Ratementioning

confidence: 98%

Study on nucleation kinetics of lysozyme crystallization

Chen

Zhang

Liu

et al. 2017

Journal of Crystal Growth

View full text Add to dashboard Cite

The nucleation kinetics of hen egg-white lysozyme crystallization was investigated using a hot stage cooling crystallizer and a microscope to monitor the solution crystallization process in real time. Images of crystals were continuously recorded under varied precipitant and protein concentrations. The nucleation rate was found to be higher at higher precipitant concentration, and increase monotonically with protein concentration if the precipitant concentration was held 2 constant. Attempt was made to interpret the experimental data using classical nucleation theory. It was found that the model predictions are lower than the experimental values at low supersaturations but agree well with experimental data at high supersaturations. The trends in the experimental data suggest that two nucleation mechanisms might co-exist: heterogeneous nucleation seeming to be the dominant at low supersaturation while at higher supersaturation homogeneous nucleation seeming to play the major role.

show abstract

Section: Nucleation Ratementioning

confidence: 98%

Study on nucleation kinetics of lysozyme crystallization

Chen

Zhang

Liu

et al. 2017

Journal of Crystal Growth

View full text Add to dashboard Cite

show abstract

“…Obtaining an analytical solution to the equation is difficult, and researchers [16][17][18][19][20][21][22] suggested the use of numerical methods to solve the equation efficiently and accurately. Among these methods, the method of moments has been widely used because it could convert the partial differential equation to a group of ordinary differential equations easily.…”

Section: Population Balance Mathematical Representationmentioning

confidence: 99%

Modeling and estimation of the kinetics of seeded solvent-mediated phase transformation in a batch crystallizer

Tang

Shen

Shi

2011

J. Wuhan Univ. Technol.-Mat. Sci. Edit.

View full text Add to dashboard Cite

Modeling the kinetics of the preparing process is necessary to produce a product with the appropriate particle properties and minimum production cost. Owing to the lackness of crystal size distributor (CSD) information, however, solvent-mediated phase transformation encounters difficulty in modeling the kinetics as compared to solution crystallization. Consequently, a model was established by making the product CSD to move along by horizontal translation to obtain the CSDs of the stable phase in the process of transformation. Then the moment method was used to solve the popular balance equation, and the least square nonlinear regression method was applied to estimate the kinetics parameters. The model has been successfully used to simulate the transformation of CaSO 4 •2H 2 O to α-CaSO 4 •1/2H 2 O in an isothermal seeded batch crystallizer with different stirring speeds, and it is benefi cial to producing high performance α-CaSO 4 •1/2H 2 O crystals which have the right particle characteristics.

show abstract

“…Furthermore, changes of the particle size distributions can be coupled via a mass balance to changes of the fluid phase concentrations. Inside the model algebraic expressions for the underlying kinetic phenomena have to be formulated (see Mersmann et al, 2002;Garside and Shah, 1980 for overviews). A simplified version of the partial differential equation describing the one-dimensional case is:…”

Section: Process Model For Preferential Crystallizationmentioning

confidence: 99%

“…There exist a multitude of empirical, semiempirical and physically based expressions to model different kinetic phenomena (Mersmann et al, 2002). For the models used in this work the kinetics of crystal growth and secondary nucleation are needed:…”

Section: Process Model For Preferential Crystallizationmentioning

confidence: 99%