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Schematic illustration of the casein micelle structure, incorporated calcium phosphate nanoclusters (grey) with their attached caseins (red), the surface-located κ-casein (green), and hydrophobically bound mobile β-casein (blue). Individual components are not to scale. Reproduced with permission from [3], copyright by The Royal Society of Chemistry, 2011. 

Schematic illustration of the casein micelle structure, incorporated calcium phosphate nanoclusters (grey) with their attached caseins (red), the surface-located κ-casein (green), and hydrophobically bound mobile β-casein (blue). Individual components are not to scale. Reproduced with permission from [3], copyright by The Royal Society of Chemistry, 2011. 

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Casein is the major protein fraction in milk, and its cross-linking has been a topic of scientific interest for many years. Enzymatic cross-linking has huge potential to modify relevant techno-functional properties of casein, whereas non-enzymatic cross-linking occurs naturally during the storage and processing of milk and dairy products. Two size...

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... colloidal stability of casein micelles in aqueous systems is ensured by steric repulsion of the so-called "hairy layer", which corresponds to the glycosylated, hydrophilic C-termini of κ-casein located on the micelle surface [6][7][8]. A schematic illustration of the casein micelle structure, as suggested by Dalgleish [3], is shown in Figure 1. In spite of decades of research, structure of casein micelles and type of interactions between caseins are still a topic of controversial discussion (e.g., [9][10][11] vs. [12,13]. ...
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... many cases, the results were linked to the size of the generated casein oligomers and polymers, but size determination by separation techniques is still challenging, mainly because of insufficient resolution and the unavailability of suitable standard substances for molar mass determination. In this review we provide an overview on prominent cross-linking reactions (Section 2), followed by a discussion of two size separation techniques that are commonly applied for the characterisation of cross-linked casein: gel electrophoresis (Section 3) Figure 1. Schematic illustration of the casein micelle structure, incorporated calcium phosphate nanoclusters (grey) with their attached caseins (red), the surface-located κ-casein (green), and hydrophobically bound mobile β-casein (blue). ...
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... separation efficiency depends strongly on column material. Taking non-micellar casein cross-linked by TGase as example, Figure 10a compares chromatograms obtained from Superdex 200 and Superose 6, exhibiting fractionation ranges from 10 to 600 and 5 to 5000 kg/mol for globular proteins, respectively. Superdex 200 consequently results in a narrower elution of fractions and better separation in the low molar mass region, i.e., monomers and dimers, whereas Superose 6 reveals an additional fraction at ~9-12 mL, which coelutes with the largest polymers at ~7.5 mL when using Superdex 200. ...
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... separation efficiency depends strongly on column material. Taking non-micellar casein cross-linked by TGase as example, Figure 10a compares chromatograms obtained from Superdex 200 and Superose 6, exhibiting fractionation ranges from 10 to 600 and 5 to 5000 kg/mol for globular proteins, respectively. Superdex 200 consequently results in a narrower elution of fractions and better separation in the low molar mass region, i.e., monomers and dimers, whereas Superose 6 reveals an additional fraction at ~9-12 mL, which coelutes with the largest polymers at ~7.5 mL when using Superdex 200. ...
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... contrast to gel electrophoresis, different casein types elute together in a single peak and cannot be clearly discriminated. However, when injecting standards of different casein types slightly different elution following the order β-casein < α S1 -casein < κ-casein can be seen (Figure 10b), which is in accordance to their respective molar mass (Table 1) and allows at least rough hints on their different polymerisation velocity [148]. Using Superdex 200, the monomer peak is clearly shifted to higher elution volumes with higher cross-linking of non-micellar casein by TGase (Figure 10a), which suggests the presence of remaining κ-casein, as also observed by SDS-PAGE (see Section 3.3). ...
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... when injecting standards of different casein types slightly different elution following the order β-casein < α S1 -casein < κ-casein can be seen (Figure 10b), which is in accordance to their respective molar mass (Table 1) and allows at least rough hints on their different polymerisation velocity [148]. Using Superdex 200, the monomer peak is clearly shifted to higher elution volumes with higher cross-linking of non-micellar casein by TGase (Figure 10a), which suggests the presence of remaining κ-casein, as also observed by SDS-PAGE (see Section 3.3). This shift, however, is less pronounced when using Superose 6 because the broader fractionation range results in a narrower elution of monomers. ...
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... of the heterogeneity of caseins and heteropolymers resulting from cross-linking, peaks of polymeric fractions in size exclusion chromatograms are broader than respective homopolymers and may also vary in their position depending on cross-linking intensity. Figure 11a depicts non-micellar acid casein cross-linked by TGase: the maximum of the dimer peak is shifted from ~9.85 mL to ~10.12 mL with ongoing cross-linking. The position of this peak, however, is not changing when dimers are comprised either of only β-casein (Figure 11b) or of only κ-casein (Figure 11c), and they can be distinguished by their elution volumes of ~10.6 mL and ~11.4 mL, respectively. ...
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... 11a depicts non-micellar acid casein cross-linked by TGase: the maximum of the dimer peak is shifted from ~9.85 mL to ~10.12 mL with ongoing cross-linking. The position of this peak, however, is not changing when dimers are comprised either of only β-casein (Figure 11b) or of only κ-casein (Figure 11c), and they can be distinguished by their elution volumes of ~10.6 mL and ~11.4 mL, respectively. It is thus safe to presume that the dimer peak of acid casein is shifting because dimers containing β-casein are further cross-linked whereas dimers with κ-casein remain and/or are formed in later stages of cross-linking. ...
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... 11a depicts non-micellar acid casein cross-linked by TGase: the maximum of the dimer peak is shifted from ~9.85 mL to ~10.12 mL with ongoing cross-linking. The position of this peak, however, is not changing when dimers are comprised either of only β-casein (Figure 11b) or of only κ-casein (Figure 11c), and they can be distinguished by their elution volumes of ~10.6 mL and ~11.4 mL, respectively. It is thus safe to presume that the dimer peak of acid casein is shifting because dimers containing β-casein are further cross-linked whereas dimers with κ-casein remain and/or are formed in later stages of cross-linking. ...
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... 2018, 5, x FOR PEER REVIEW 13 of 34 In contrast to gel electrophoresis, different casein types elute together in a single peak and cannot be clearly discriminated. However, when injecting standards of different casein types slightly different elution following the order β-casein < αS1-casein < κ-casein can be seen (Figure 10b), which is in accordance to their respective molar mass (Table 1) and allows at least rough hints on their different polymerisation velocity [148]. Using Superdex 200, the monomer peak is clearly shifted to higher elution volumes with higher cross-linking of non-micellar casein by TGase (Figure 10a), which suggests the presence of remaining κ-casein, as also observed by SDS-PAGE (see Section 3.3). ...
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... when injecting standards of different casein types slightly different elution following the order β-casein < αS1-casein < κ-casein can be seen (Figure 10b), which is in accordance to their respective molar mass (Table 1) and allows at least rough hints on their different polymerisation velocity [148]. Using Superdex 200, the monomer peak is clearly shifted to higher elution volumes with higher cross-linking of non-micellar casein by TGase (Figure 10a), which suggests the presence of remaining κ-casein, as also observed by SDS-PAGE (see Section 3.3). This shift, however, is less pronounced when using Superose 6 because the broader fractionation range results in a narrower elution of monomers. ...
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... of the heterogeneity of caseins and heteropolymers resulting from cross-linking, peaks of polymeric fractions in size exclusion chromatograms are broader than respective homopolymers and may also vary in their position depending on cross-linking intensity. Figure 11a depicts non-micellar acid casein cross-linked by TGase: the maximum of the dimer peak is shifted from ~9.85 mL to ~10.12 mL with ongoing cross-linking. The position of this peak, however, is not changing when dimers are comprised either of only β-casein (Figure 11b) or of only κ-casein (Figure 11c), and they can be distinguished by their elution volumes of ~10.6 mL and ~11.4 mL, respectively. ...
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... 11a depicts non-micellar acid casein cross-linked by TGase: the maximum of the dimer peak is shifted from ~9.85 mL to ~10.12 mL with ongoing cross-linking. The position of this peak, however, is not changing when dimers are comprised either of only β-casein (Figure 11b) or of only κ-casein (Figure 11c), and they can be distinguished by their elution volumes of ~10.6 mL and ~11.4 mL, respectively. It is thus safe to presume that the dimer peak of acid casein is shifting because dimers containing β-casein are further cross-linked whereas dimers with κ-casein remain and/or are formed in later stages of cross-linking. ...
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... 11a depicts non-micellar acid casein cross-linked by TGase: the maximum of the dimer peak is shifted from ~9.85 mL to ~10.12 mL with ongoing cross-linking. The position of this peak, however, is not changing when dimers are comprised either of only β-casein (Figure 11b) or of only κ-casein (Figure 11c), and they can be distinguished by their elution volumes of ~10.6 mL and ~11.4 mL, respectively. It is thus safe to presume that the dimer peak of acid casein is shifting because dimers containing β-casein are further cross-linked whereas dimers with κ-casein remain and/or are formed in later stages of cross-linking. ...
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... limitation is that whey proteins may be less effectively separated from caseins. In case of both Superdex 200 and Superose 6, β-lactoglobulin coelutes with the monomers while α-lactalbumin can be separated to some extent (Figure 10c). For quantitative analysis of casein polymerisation in milk, whey proteins should be removed from the sample prior to SEC. ...
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... to gel electrophoresis, the most simple application of SEC under denaturing and reducing conditions is for verification that polymerisation occurred, e.g., [54,116,133,134,147]. In several studies, Bönisch et al. used SEC to investigate the action and inactivation of an inhibitor of Figure 11. Sections of typical size exclusion chromatograms (Superdex 200 column) of cross-linked (a) casein in phosphate buffer (CN-PB); (b) β-casein; and (c) κ-casein depicting monomers (~12 mL) and dimers (~10 mL) (originally presented in [94]; see also Appendix A.4). ...
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... limitation is that whey proteins may be less effectively separated from caseins. In case of both Superdex 200 and Superose 6, β-lactoglobulin coelutes with the monomers while α-lactalbumin can be separated to some extent (Figure 10c). For quantitative analysis of casein polymerisation in milk, whey proteins should be removed from the sample prior to SEC. ...
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... the polymerisation degree (sometimes also referred to as oligomerisation degree) was calculated in several studies from size exclusion chromatograms by relating peak areas of cross-linked caseins to the entire sample area [30,32,44,47,48,53,78,[134][135][136][146][147][148]. Because reference casein samples often reveal a low level of polymerised casein (see Figures 9 and 10), the polymerisation degree after cross-linking was also expressed as the difference between cross-linked samples and reference [137][138][139]144,145]. A different definition of polymerisation degree was given by Monogioudi et al. [91] for β-casein cross-linked by tyrosinase: they used SEC in combination with multi-angle laser light scattering (MALS) for molar mass determination (see also Section 6) and calculated the ratio of average molar mass to molar mass of monomeric β-casein. ...
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... external cross-flow is applied orthogonally to the channel flow, and separates the analysed molecules with respect to their diffusivity [165]. The procedure of a typical AF4 separation approach is shown in Figure 12. During the first two steps (i.e., injection and focusing) the eluent enters the channel from the inlet and outlet port, and permeates the ultra-filtration membrane. ...
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... external cross-flow is applied orthogonally to the channel flow, and separates the analysed molecules with respect to their diffusivity [165]. The procedure of a typical AF4 separation approach is shown in Figure 12. During the first two steps (i.e., injection and focusing) the eluent enters the channel from the inlet and outlet port, and permeates the ultra-filtration membrane. ...
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... kB is the Boltzmann constant, T is the temperature and η is the viscosity of the eluent. By combining the Stokes-Einstein equation with the retention theory [169] Rh can be obtained from the elution time: Figure 12. Schematic illustration of the separation mechanism using asymmetrical flow field flow fractionation. ...
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... an alternative to the conventional AF4 represents the frit-inlet channel (FI-AF4), which reduces the concentration of the sample near the ultra-filtration membrane. The channel design allows by-passing the focusing step, and the samples are hydrodynamically relaxed by a compressing action of an additional flow that enters the channel from a small permeable frit placed close to the injection port ( Figure 13). After the sample components have passed the frit inlet flow area and reached a ready state equilibrium, the separation process takes place in the same way as the elution step for the conventional AF4. ...
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... applied AF4 for the investigation of casein micelles over the entire size range. Figure 14 depicts the molar mass and size distributions, with peak 3 representing the casein micelles. ...
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... applied AF4 for the investigation of casein micelles over the entire size range. Figure 14 depicts the molar mass and size distributions, with peak 3 representing the casein micelles. Molar mass and radius of gyration were determined by MALS detector, whereas Rh was calculated from the elution time (see Section 5.1, Equation (3)). ...
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... authors firstly performed SAXS and osmometry measurements, with the latter contradicting results published in literature. Therefore, AF4 was performed, resulting in the plot shown in Figure 15. Over the whole fractogram, Rg ranged from approx. ...
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... authors firstly performed SAXS and osmometry measurements, with the latter contradicting results published in literature. Therefore, AF4 was performed, resulting in the plot shown in Figure 15. Over the whole fractogram, R g ranged from approx. ...
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... is possible because the light scattering intensity is in direct relation with the molar mass. In this regard, the combination of AF4 or SEC with scattering techniques (see Figure 16) is a powerful tool for comprehensive characterisation of a wide range of polymers [194][195][196][197]. In MALS experiments, the intensity of light scattered by an analyte is measured at different angles (θ). ...
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... MALS experiments, the intensity of light scattered by an analyte is measured at different angles (θ). For a dilute sample solution, and assuming a vertically polarised incident light, the intensity (I) of scattered light is proportional to the properties of the sample solution according to the Zimm equation [198]: Figure 15. Fractograms of β-casein assemblies obtained by asymmetrical flow field flow fractionation together with the distribution of the molar mass and radius of gyration (R g ). ...
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... is possible because the light scattering intensity is in direct relation with the molar mass. In this regard, the combination of AF4 or SEC with scattering techniques (see Figure 16) is a powerful tool for comprehensive characterisation of a wide range of polymers [194][195][196][197]. Separations ...
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... is possible because the light scattering intensity is in direct relation with the molar mass. In this regard, the combination of AF4 or SEC with scattering techniques (see Figure 16) is a powerful tool for comprehensive characterisation of a wide range of polymers [194][195][196][197]. In MALS experiments, the intensity of light scattered by an analyte is measured at different angles (θ). ...
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... et al. [188] calculated the apparent densities ρ and the R g /R h ratio from the molar mass and radii distributions in order to describe the shape of casein micelles (Figure 17). From the data, the authors found a different tendency of ρ h and ρ g as a function of the R g , suggesting large differences in conformation over the entire size distribution. ...
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... to now little has been reported about appropriate standard substances for molar mass calibration of casein polymers. Therefore, absolute molar mass determination will be of increased Figure 17. (a) Apparent density calculated from the radius of gyration (R g ; ) and the hydrodynamic radius (R h ; ) vs. R g , and (b) R g /R h ( ) and differential mass distribution (-) vs. R g for casein micelles in milk. ...

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Increasing awareness of balanced diet benefits is boosting the demand for high-protein food and beverages. Sports supplements are often preferred over traditional protein sources to meet the appropriate dietary intake since they are widely available on the market as stable ready-to-eat products. However, the protein components may vary depending on both sources and processing conditions. The protein fraction of five commercial sports supplements was characterized and compared with that of typical industrial ingredients, i.e., whey protein concentrates and isolates and whey powder. The capillary electrophoresis profiles and the amino acid patterns indicated that, in some cases, the protein was extensively glycosylated and the supplemented amino acids did not correspond to those declared on the label by manufacturers. The evaluation by confocal laser scanning microscopy evidenced the presence of large aggregates mainly enforced by covalent crosslinks. The obtained findings suggest that, beside composition figures, provisions regarding sports supplements should also consider quality aspects, and mandatory batch testing of these products would provide more reliable information to sport dieticians.
... However, these variations in purification fold and specific enzyme activity purified by gel filtration chromatography may depend on the microbial strains and substrate [46]. Gel filtration chromatography referred to as size exclusion chromatography is a chromatography technique that allows for the separation of macromolecules based on their hydrodynamic size, whereby the smaller molecules can access the higher number of pores and stay inside the column longer, while the larger molecules elute earlier because they can only penetrate larger pores [53]. ...
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