Individual and combined effect of pH and whey proteins on lactose crystallization

Sánchez-García, Yanira I.; Gutiérrez‐Méndez, Néstor; Orozco-Mena, Raúl E.; Ramos-Sánchez, Víctor H.; Leal‐Ramos, Martha Y.

doi:10.1016/j.foodres.2018.08.061

Cited by 25 publications

(33 citation statements)

References 30 publications

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“…The bell‐shaped dependence of the change of

y false(x false) = \frac{N}{N_{s}}

with the change of

x = k (t - t_{c})

in Figure 2, in which the crystal birth moments t b are replaced with their sizes, provides a plausible explanation for the experimental results of Sánchez‐García et al. [ 22,23 ] In a previous work, [ 28 ] the bell‐shaped dependences of these authors [ 22,23 ] was attributed to the assumption that at the time when all crystals are grown to detectible sizes, the effects of crystal sedimentation and convection driven plumes have reached all crystals. Thus, the crystal polydispersity is augmented to macroscopic dimensions, but preserves the symmetric bell‐shaped N / N s distribution on crystal sizes inherited from the nucleation stage (see Figure 2).…”

Section: Nucleation Kinetics; Logistic Dependence Of Nuclei Number Dementioning

confidence: 84%

“…[ 8 ] Without seeing the nuclei themselves, this nucleation rule has been deduced from measurements of crystal number densities N (which is the number of nuclei arising in unit volume/on unit surface) as a function of the nucleation time t . Being phenomenologically substantiated, [ 9–24 ] the logistic dependence of N on t is a sound basis for considering some basic rules that govern crystal nucleation (and somewhat indirectly, also the crystal growth).…”

Section: Nucleation Kinetics; Logistic Dependence Of Nuclei Number Dementioning

confidence: 99%

“…However, this is not the case, macroscopic size differences between grown crystals have been observed by solution crystallization. [ 22,23,33 ] Evidently, the polydispersity evoked during the nucleation stage is increased during the following crystal growth. Two new factors, missing during the nucleation stage, “enter the game” during the subsequent growth of the crystals, and give preference to the larger crystals in increasing their sizes.…”

Section: Nucleation Kinetics; Logistic Dependence Of Nuclei Number Dementioning

confidence: 99%

“…Recently, Sánchez‐García et al. [ 22,23 ] observed simultaneously both logistic distribution of the crystal nuclei number density N on nucleation time t and bell‐shaped dependences of normalized number of lactose crystals (obtained from cheese whey) on their diameters. The bell‐shaped dependence of the change of

y false(x false) = \frac{N}{N_{s}}

with the change of

x = k (t - t_{c})

in Figure 2, in which the crystal birth moments t b are replaced with their sizes, provides a plausible explanation for the experimental results of Sánchez‐García et al.…”

Section: Nucleation Kinetics; Logistic Dependence Of Nuclei Number Dementioning

confidence: 99%

See 3 more Smart Citations

How to Manage a Crystallization Process Aimed at Obtaining a Desired Combination of Number of Crystals and Their Distribution by Size: Learn Here

Nanev

2021

Crystal Research and Technology

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Managing a crystallization process adequately, it is possible to obtain a crystalline product having the desired crystal size distribution. Recommendations for selecting crystallization parameters that are needed to achieve this goal are given basing of a theoretical analysis in which special attention is paid to the growth of crystals from solutions with a preset concentration. Mathematical equations which enable calculation of the theoretical yield for the crystallization process have been elaborated. New formula giving the crystal nuclei number per unit volume as a function of both supersaturation and nucleation time has been devised based on the logistic kinetics of crystal nucleation proceeding under constant supersaturation. The quantitative relation between number density and mean size of crystals growing in batch crystallization is calculated. The calculation shows that the mean size of crystals reached at any time of their growth is inversely proportional to root third of the crystal number density.

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“…The bell‐shaped dependence of the change of

y false(x false) = \frac{N}{N_{s}}

with the change of

x = k (t - t_{c})

Section: Nucleation Kinetics; Logistic Dependence Of Nuclei Number Dementioning

confidence: 84%

Section: Nucleation Kinetics; Logistic Dependence Of Nuclei Number Dementioning

confidence: 99%

Section: Nucleation Kinetics; Logistic Dependence Of Nuclei Number Dementioning

confidence: 99%

y false(x false) = \frac{N}{N_{s}}

with the change of

x = k (t - t_{c})

in Figure 2, in which the crystal birth moments t b are replaced with their sizes, provides a plausible explanation for the experimental results of Sánchez‐García et al.…”

Section: Nucleation Kinetics; Logistic Dependence Of Nuclei Number Dementioning

confidence: 99%

See 2 more Smart Citations

How to Manage a Crystallization Process Aimed at Obtaining a Desired Combination of Number of Crystals and Their Distribution by Size: Learn Here

Nanev

2021

Crystal Research and Technology

View full text Add to dashboard Cite

show abstract

“…To understand crystallization processes, the parameters that influence the yield and stability of a desired crystalline form are of particular interest, such as solvents, pH, stirrer speed, temperature, pressure, and so forth. [ 19‐24 ]…”

Section: Introductionmentioning

confidence: 99%

In Situ Analysis of Lactose Crystal in Solution through Slurry Flow Cell X‐Ray Diffraction

Zhu

2020

Crystal Research and Technology

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To realize the in situ study of polycrystals, X‐ray diffraction (XRD) with the sample stage of slurry flow cell is used to study the crystal state of the lactose in solution directly. The influence of absolute ethyl alcohol and pH on the crystallization of lactose is investigated by the slurry flow cell. As the lactose is dispersed into absolute ethyl alcohol, the equilibrium of crystal is reconstructed, which induces crystal dissolution, nucleation formation, and crystal growth, then results in the difference of lactose diffractogram between the absolute ethyl alcohol solution and powder state. Peaks become sharper and higher in absolute ethyl alcohol than those of absolute ethyl alcohol with pH 3.5, which suggests that the crystal growth is easier in ethyl alcohol solution. The investigation of absolute ethyl alcohol and pH on the lactose crystals proves the capability of the XRD technique for in situ crystallization study.

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Effects of Small Biomolecules on Lysozyme Crystallization

Dai

Liu

et al. 2020

Trans. Tianjin Univ.

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Individual and combined effect of pH and whey proteins on lactose crystallization

Cited by 25 publications

References 30 publications

How to Manage a Crystallization Process Aimed at Obtaining a Desired Combination of Number of Crystals and Their Distribution by Size: Learn Here

How to Manage a Crystallization Process Aimed at Obtaining a Desired Combination of Number of Crystals and Their Distribution by Size: Learn Here

In Situ Analysis of Lactose Crystal in Solution through Slurry Flow Cell X‐Ray Diffraction

Effects of Small Biomolecules on Lysozyme Crystallization

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