casein micelles in milk revisited · casein micelles per 17liter - n cm 1.14 10 [l 1] calculated...

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Casein micelles in milk revisited A cow story Kees de Kruif

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Page 1: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Casein micelles in milk revisited A cow story

Kees de Kruif

Page 2: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Courtesy Dr. Harte Tennessee JDS 2011

Page 3: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Cas

ein

Mic

elle

W

hey

pro

tein

str

and

s

Co

urt

esy

; A

rjan

Bo

t@U

nile

ver.

NL

Page 4: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Alice in Wonderland The Cheshire cat

‘Which model should I believe ,' said Alice.

‘Which one do you want to believe?' said the cat.

‘I don’t know ‘ said Alice

‘Well then it does not matter where you go to’ said the cat

Page 5: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

What did we do?!

• Collected milk of individual cows • Measured size and protein composition • Choose Martha as favorite cow • Measured light scattering, SAXS, SANS • Measured density, viscosity,

• CALCULATED SPECTRA BASED ON MODELS • No adjustable parameters!! • No data fitting!!

Page 6: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Martha

Page 7: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Casein micelles from individual cows

• 16 Holstein Frisian cows from a herd of 120

• Milk sample from 2 cows during milking

• Milk samples from16 cows `4 times with 6 week intervals

• Milk from one cow Martha 183 (cow 68)

• During 3 year and used for SANS and SAXS

• Particle size analysis and casein composition

Page 8: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285
Page 9: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Cow Nr Cow name Age Lactations Fat (%, m/m) Protein (%, m/m)

16 Klara 657 4 3 4.77 3.60

22 Lien 376 2 1 4.04 3.53

23 Lien 374 2 1 4.52 3.42

43 Lien 295 8 6 3.99 3.23

45 Klara 561 5 3 4.86 3.73

48 Klara 580 9 8 4.69 3.80

63 Klara 629 6 4 4.92 3.72

68 Martha 183 6 4 4.91 3.48

75 Klara 675 3 2 4.63 3.44

85 Klara 696 2 1 4.96 3.63

90 Klara 660 4 3 4.95 3.49

93 Klara 555 10 9 4.99 3.43

98 Lien 275 10 9 4.73 3.47

123 Klara 623 6 5 3.66 3.27

130 Gerda 494 5 3 4.71 3.89

139 Lien 349 4 3 5.24 3.40

Page 10: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Dynamic Light Scattering (DLS)

• DLS as function scattering angle (Θ)

• Wave vector Q=4πn/λ sin(Θ/2)

• At small Θ (small Q) ‘’see’’ larger particles

• Rhydr decreases with Q (if polydisperse)

Page 11: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Cow 94 and 20 during milking NO VARIATION DURING MILKING

Page 12: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

VARIATION FOR COWS

Page 13: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

0

20

40

60

80

100

120

140

16 22 23 43 45 48 63 68 75 85 90 93 98 123 130

Rh(9

3°)

/nm

Cow

6 week intervals No variation in time

Page 14: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

VARIATION FOR COWS

Page 15: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Particle size distribution

0 50 100 150 200

r [nm]

0

10

20

30

40

F ln(r

) [u

m-1]

b=0.27 s=0.27 R0=55 nm

Fl n(r )

FGauss

(r )

Page 16: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

NCM*4/3π R3=constant. NCM ∞ 1/R3 A~NCM*4π R2 . Nkcas ∞R

Polydispersity increases with size!!

: β ∞ √n (∞ √R)

Rh ∞ β2

Page 17: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

0,0

0,1

0,2

0,3

0,4

0,5

0,6

16 22 23 43 45 48 63 68 75 85 90 93 98 130 139

αs1-c

asein

(fr

acti

on

of to

tal casein

)

Cow

0,0

0,1

0,2

0,3

0,4

0,5

0,6

16 22 23 43 45 48 63 68 75 85 90 93 98 130 139

αs2-c

asein

(fr

acti

on

of to

tal casein

)

Cow

0,0

0,1

0,2

0,3

0,4

0,5

0,6

16 22 23 43 45 48 63 68 75 85 90 93 98 130 139

β-c

asein

(fr

acti

on

of to

tal casein

)

Cow

0,0

0,1

0,2

0,3

0,4

0,5

0,6

16 22 23 43 45 48 63 68 75 85 90 93 98 130 139

κ-c

asein

(fr

acti

on

of to

tal casein

)

Cow

A B

C D

αs1-casein αs2-casein

β-casein κ-casein

Page 18: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

0,0

0,1

0,2

0,3

0,4

0,5

0,6

70 75 80 85 90 95 100 105

Frac

tio

n o

f to

tal c

ase

in

Hydrodynamic radius (nm)

Figure 9 Proportion of αs1-casein ( ), αs2-casein (), β-casein () and κ-casein () in milk from individual cows expressed as a function of

hydrodynamic radius.

αs1-casein

αs2-casein

β-casein

κ-casein

Page 19: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

New Zealand cows Jersey (young) Holstein Frisian

Page 20: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285
Page 21: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Gerd ElisabethVegarud Agricultural university , Aas, NW

59 Norwegian short horns Int Dairy J. 10 (2000) 313

• Native micelles: 75-111 m at 90 deg 633 nm • We at Q2 = 350 μm-2 77- 115nm + 4 nm

• NOTE: DLS radii!!! • No correlation!

• Same result for • Holstein Frisians

Page 22: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

NEUTRON SCATTERING

Highly recommended

WHY??

Look at this!!

Page 23: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Oak Ridge TN Melton Hill Lake. Smokey Mountains

Page 24: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Polygone Scientific Grenoble France Please note the snow!

Page 25: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Neutron scattering D11 at the ILL Grenoble France

REA

CTO

R

Page 26: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Technology

for your

success

Volker Urban and CdK

Page 27: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Technology

for your

success

ORNL and ILL

Page 28: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Technology

for your

success

ORNL detector Jurgen Smeenk

Page 29: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Why use neutrons??

• Most materials are transparent!

• Contrast variation

• Especially for hydrocarbon and proteins

• Hydrogen and deuterium

• completely different scattering.

• Take H2O/D2O mixtures

• Scattering varies greatly but structure not

Page 30: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Contrast

Technology for your success

NC in 0.4 D2O

NC in D2O

~Equal contrast Protein matched CP matched

NC in H2O

Page 31: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

32

Casein Micelle: Structure???? Field Emission Scanning Electron Microscopy

Dalgleish et al., (IDJ, 2004)

Page 32: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

EM pictures

33

Page 33: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

TEM - Retentate at low pH Christina Coker, Fonterra

Micelles are swelling and beginning to dissociate

Page 34: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

TEM - Retentate at low pH – Christina Coker, Fonterra

Micelles are swelling and beginning to dissociate –Image analysis reveals structure homogeneity

and dense particles (orange/red) that may be calcium phosphate nano-clusters. (Blue is lowest

density - background)

Page 35: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Fig. 3a. Model of casein micelles proposed by Waugh 1958 [44]

Page 36: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Fig. 3b. Representations of the model of casein micelles proposed by Schmidt [45]

sub-micelle model

Schmidt (1982)

CaP cluster

rich in k-casein

low in k-casein

hydrophobic

core

Page 37: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Fig. 3c. Representations of the model of casein micelles proposed by Walstra 1990 [46] and 1999[47].

Note the change in scale and position of the CCP

Page 38: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Fig. 3d. Representation of the dual binding model proposed by Horne 2003 [48], and the

interpretation of Schmidt’s model in a review 2005 [15]

Page 39: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Fig. 3e. Representations of the model of casein micelles proposed by Holt, [50,12]

Page 40: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Alice in Wonderland The Cheshire cat

‘Which casein model should I believe ,' said Alice.

‘Which one do you want to believe?' said the cat.

‘I don’t know ‘ said Alice

‘Well then it does not matter where you go to’ said the cat

Page 41: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Scattering length density Actually this means we got the composition right

0.0 0.5 1.0

D2O/H

2O

-1

1

2

S.L

.D. [

10

10 c

m-2]S L D Ca lc .

S L D e x p ORNL

S L D e x p Ho l t

Page 42: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Optical moment of Inertia Means: CM are homogeneous

Page 43: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

H2O and 40% D2O

0 .0 0 .2 0 .4 0 .6 0 .8 1 .0

Q [nm - 1]

1 0|- 1

1 0|0

1 0|1

1 0|2

1 0|3

1 0|4

1 0|5

1 0|6

I(Q

)

0. 0 D2O K

1. 0 H2O

CH 0. 0 D 2O

0 .0 0 .2 0 .4 0 .6 0 .8 1 .0

Q [nm - 1]

1 0|- 1

1 0|0

1 0|1

1 0|2

1 0|3

1 0|4

1 0|5

1 0|6

I(Q)

0. 4 D2O K

0. 45 D2O K

0. 4 D2O

CH 0. 5 D 2O

Page 44: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

60% D2O 100% D2O

0 .0 0 .2 0 .4 0 .6 0 .8 1 .0

Q [nm - 1]

1 0|- 1

1 0|0

1 0|1

1 0|2

1 0|3

1 0|4

1 0|5

1 0|6

I(Q

)

0. 65 D 2O60 K

0. 65 D 2O

CH 0. 7 D 2O

0 .0 0 .2 0 .4 0 .6 0 .8 1 .0

Q [nm - 1]

1 0|- 1

1 0|0

1 0|1

1 0|2

1 0|3

1 0|4

1 0|5

1 0|6

I(Q

)

1. 0 D2O K

1. 00 D 2O

CH 1. 0 D2O

Page 45: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

SAXS

0 .0 0 0 .0 1 0 .1 0 1 .0 0 1 0 .0 0

Q [nm - 1]

1 0|- 5

1 0|- 4

1 0|- 3

1 0|- 2

1 0|- 1

1 0|0

1 0|1

1 0|2

1 0|3

1 0|4

I(Q

)0. 02 N ov07

P i gnon dat a

cal c 55 nm 2. 27nm

cal c 55nm 1. 72nm

Page 46: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Parameter symbol Cow 68 (Pooled milk) [units] Experimental

Casein micelle center rad.(ln-norm) R10 55 (60) [nm] DLS

Polydispersity β 0.27 (0.35) [-] DLS

Volume averaged radius R3 61.1 (71.3) [nm] Viscosity, DLS

Radius of gyration Rgyr 90 (135) [nm] SANS, SLS

DLS radius (λ=541,Θ=90) Rhydr 80 (100) [nm] DLS

Voluminosity - 4.4 [ml g-1] Viscosity

Mass density (hydrated) - 1.078 [g ml-1] Analytical UC

Casein micelles per liter Ncm 1.14 1017 [L-1] Calculated

Nanocluster rnc 1.72 to 2.27 [nm] SANS/SAXS

Nanoclusters/ Casein micelle Nnc 285 (372) Calculated

Correlation length ξ 9.3 [nm] SANS

Packing fraction NC/prot. Clust. - 0.4 / 0.2 estimated

Protein clusters Rprot 2 nm SAXS

Correlation length ξprot 3 nm SAXS

Advances in Colloid and Interface Science 2012

Page 47: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Artist impression of casein micelles based on predictive calculation

Advances in Colloid and Interface Science 2012

Homogeneous distribution of matter 285 NC 2nm Radius NC 18.6 nm apart Protein matrix small clusters 2 nm No submicelles, no channels no …..

¾ H20 ¼ PROTEIN 7% NC

Page 48: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Mother nature is not sloppy

• CM constant in time

• CM quite mono-disperse in size

• Polydispersity scales with size

• Variation between cows

• Not between race?!

• Relative protein composition is constant

• Genetics??

• Cows were strongly related!!

Page 49: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Now what´s the use of it?

• Materials science approach

• Zero fat cheese The golden cheese

• Zero fat Ice cream

• High protein drinks

• Functionalized skim milk powders

• Patent applications

• Confidential work for clients

Page 50: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Acknowledgements

• Thom Huppertz , Mary Smiddy, Jan Klok

• Charles Slangen @ NIZO

• Andrei Petukhof@UU

• Volker Urban@ORNL

• Henk en Kees

• @ deKruif

Page 51: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Martha

Page 52: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Technology for your

success

Protein-Protein interactions

@Fonterra with Skelte Anema

Charge (distribution) matters

A simple illustration

Mixture of Lactoferrin and casein micelles

Page 53: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Skim milk + Lactoferrin (pH)

Technology for your

success

Page 54: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Na – caseinate + Lactoferrin Complexation

Technology for your

success

245 Skelte G. Anema and C. G. (Kees) de Kruif Interaction of Lactoferrin and Lysozyme with Casein Micelles | Biomacromolecules 2011, 12, 3970−3976 246 Skelte G. Anema2 and C. G. (Kees) de Kruif Co-acervates of lactoferrin and caseins Soft Matter, 2012, 8, 4471

Page 55: Casein micelles in milk revisited · Casein micelles per 17liter - N cm 1.14 10 [L 1] Calculated Nanocluster r nc 1.72 to 2.27 [nm] SANS/SAXS Nanoclusters/ Casein micelle N nc 285

Alice in Wonderland The Cheshire cat

'But I don't want to go among mad people,' said Alice.

'Oh, you can't help that,' said the cat.

'We're all mad here.‘ Lewis Carroll

Reprints?? [email protected] [email protected]