Abstract
Contrast-variation small-angle neutron scattering (CV-SANS) is an excellent way to determine the structure of complex, hierarchical colloids, including self-assembled biological systems. In these experiments, the scattering length density of solvents is changed (by varying the ratio of water or \(\hbox {H}_2\hbox {O}\) and heavy water or \(\hbox {D}_2\hbox {O}\)) to highlight or mask scattering from different components in the system. This approach has been used with synthetic colloids, but it is also increasingly being used in the biological and food sciences. Perhaps the most studied food colloid is the “casein micelle,” a self-assembled nanometer-scale colloid of the structure-forming casein protein in milk. CV-SANS data available in the literature are typically analyzed using approximations, which may be invalid for casein micelles, as they have been shown to be sticky spheres. To assess the applicability of this approximate approach, a comprehensive set of CV-SANS data from casein micelles in diluted milk was reanalyzed using a model-based approach, where the casein micelles were formally treated as interacting spheres. In general, the conclusions of the previous study are reproduced, but this new approach makes it more straightforward to distinguish the different components in milk and can be applied to any dairy sample with known form of interparticle interactions, which offers the possibility of studying semi-deuterated milk at its native concentration.
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Data Availability Statement
This manuscript has associated data in a data repository. [Authors’ comment: The SANS data used for this analysis can be obtained from the Zenodo repository (https://doi.org/10.5281/zenodo.4071784)].
References
T. Narayanan, H. Wacklin, O. Konovalov, R. Lund, Crystallogr. Rev. 23, 160 (2017)
R. Ashkar, H.Z. Bilheux, H. Bordallo, R. Briber, D.J.E. Callaway, X. Cheng, X.Q. Chu, J.E. Curtis, M. Dadmun, P. Fenimore et al., Acta Crystallogr. Sect. D 74, 1129 (2018)
D.P. Hoogerheide, V.T. Forsyth, K.A. Brown, Phys. Today 73, 37 (2020)
J.F. Bunnett, R.A.Y. Jones, Pure Appl. Chem. 60, 1115 (1988)
Arch. Biochem. Biophys. 272, 262 (1989)
Eur. J. Biochem. 183, 1 (1989)
Biol. Chem. Hoppe-Seyler 370, 1153 (1989)
Biochem. J. 265, I (1990)
R. Pynn, Los Alamos Sci. 19, 1 (1990)
I. Grillo, in Soft Matter Characterization, ed. by R. Borsali, R. Pecora (Springer, Netherlands, 2008), pp. 723–782, ISBN 978-1-4020-4464-9
M.J. Hollamby, Phys. Chem. Chem. Phys. 15, 10566 (2013)
B. Hammouda, Probing Nanoscale Structures—The SANS Toolbox, http://www.ncnr.nist.gov/staff/hammouda/the_SANS_toolbox.pdf
A. Lopez-Rubio, E.P. Gilbert, Trends Food Sci. Tech. 20, 576 (2009)
E.P. Gilbert, A. Lopez-Rubio, M.J. Gidley, Characterisation Techniques in Food Materials Science (Wiley, Chichester, 2012), chap. 3, pp. 52–93
E.P. Gilbert, Curr. Opin. Colloid Interface Sci. 42, 55 (2019)
V.F. Sears, Neutron News 3, 26 (1992)
C. Kealley, A. Sokolova, G. Kearley, E. Kemner, M. Russina, A. Faraone, W. Hamilton, E. Gilbert, Biochimica et Biophysica Acta (BBA) - Proteins Proteom. 1804, 34 (2010)
M. Di Bari, F. Cavatorta, A. Deriu, G. Albanese, Biophys. J. 81, 1190 (2001)
M. Di Bari, A. Deriu, G. Albanese, F. Cavatorta, Chem. Phys. 292, 333 (2003)
L.J. Smith, D.L. Price, Z. Chowdhuri, J.W. Brady, M.L. Saboungi, J. Chem. Phys. 120, 3527 (2004)
E. Bellocco, D. Barreca, G. Laganà, U. Leuzzi, F. Migliardo, R.L. Torre, G. Galli, A. Galtieri, L. Minutoli, F. Squadrito, Chem. Phys. 345, 191 (2008)
H. Jansson, W.S. Howells, J. Swenson, J. Phys. Chem. B 110, 13786 (2006)
J. Sjöström, F. Kargl, F. Fernandez-Alonso, J. Swenson, J. Phys.: Condens. Matter 19, 415119 (2007)
O. Rezhdo, S. Di Maio, P. Le, K.C. Littrell, R.L. Carrier, S.H. Chen, J. Colloid Interface Sci. 499, 189 (2017)
D. Pignol, L. Ayvazian, B. Kerfelec, P. Timmins, I. Crenon, J. Hermoso, J.C. Fontecilla-Camps, C. Chapus, J. Biol. Chem. 275, 4220 (2000)
B.I. Zielbauer, A.J. Jackson, S. Maurer, G. Waschatko, M. Ghebremedhin, S.E. Rogers, R.K. Heenan, L. Porcar, T.A. Vilgis, J. Colloid Interface Sci. 529, 197 (2018)
P.J. Jenkins, A.M. Donald, Polymer 37, 5559 (1996)
I. Grillo, Colloids Surf. A: Physicochem. Eng. Asp. 225, 153 (2003)
L. Chiappisi, I. Grillo, ACS Omega 3, 15407 (2018)
H.B. Stuhrmann, J. Appl. Cryst. 40, s23 (2007)
W.T. Heller, Acta Crystallogr. Sect. D 66, 1213 (2010)
T. Croguennec, R. Jeantet, P. Schuck, From Milk to Dairy Products (Wiley, Hoboken, 2016), chap. 1, pp. 1–63, 1st edn., ISBN 9781119296225
D.G. Dalgleish, Soft Matter 7, 2265 (2011)
C.G. de Kruif, T. Huppertz, V.S. Urban, A.V. Petukhov, Adv. Colloid Interface Sci. 171–172, 36 (2012)
C.G. De Kruif, J. Appl. Cryst. 47, 1479 (2014)
P.H. Stothart, D.J. Cebula, J. Mol. Biol. 160, 391 (1982)
P.H. Stothart, J. Mol. Biol. 208, 635 (1989)
S. Hansen, R. Bauer, S.B. Lomholt, K. Bruun Quist, J.S. Pedersen, K. Mortensen, Eur. Biophys. J. 24, 143 (1996)
C.G. de Kruif, R. Tuinier, C. Holt, P.A. Timmins, H.S. Rollema, Langmuir 18, 4885 (2002)
C. Holt, C. de Kruif, R. Tuinier, P. Timmins, Colloids Surf., A 213, 275 (2003)
R.H. Tromp, W.G. Bouwman, Food Hydrocoll. 21, 154 (2007)
T. Huppertz, C.G. de Kruif, Int. Dairy J. 18, 556 (2008)
L.F. van Heijkamp, I.M. de Schepper, M. Strobl, R.H. Tromp, J.R. Heringa, W.G. Bouwman, J. Phys. Chem. A 114, 2412 (2010)
A.J. Jackson, D.J. McGillivray, Chem. Commun. 47, 487 (2011)
A. Bouchoux, J. Ventureira, G. Gésan-Guiziou, F. Garnier-Lambrouin, P. Qu, C. Pasquier, S. Pézennec, R. Schweins, B. Cabane, Soft Matter 11, 389 (2015)
C.P. Adams, N. Callaghan-Patrachar, F. Peyronel, J. Barker, D.A. Pink, A.G. Marangoni, Food Struct. 21, 100120 (2019)
A. Guinier, G. Fournet, Small-Angle Scattering of X-Rays (Wiley, New York, 1955)
H.B. Stuhrmann, J. Appl. Cryst. 7, 173 (1974)
H.B. Stuhrmann, R.G. Kirste, Z. Phys, Chemistry 46, 247 (1965)
K. Ibel, H. Stuhrmann, J. Mol. Biol. 93, 255 (1975)
B. Jacrot, Rep. Prog. Phys. 39, 911 (1976)
I. Marković, R.H. Ottewill, D.J. Cebula, I. Field, J.F. Marsh, Colloid Polym. Sci. 262, 648 (1984)
J.A.H.M. Moonen, C.G. de Kruif, A. Vrij, S. Bantle, Colloid Polym. Sci. 266, 836 (1988)
R.H. Ottewill, E. Sinagra, I.P. MacDonald, J.F. Marsh, R.K. Heenan, Colloid Polym. Sci. 270, 602 (1992)
R. Kemp, R. Sanchez, K.J. Mutch, P. Bartlett, Langmuir 26, 6967 (2010)
A.V. Smirnov, I.N. Deryabin, B.A. Fedorov, J. Appl. Cryst. 48, 1089 (2015)
H. Lindmark-Månsson, R. Fondén, H.E. Pettersson, Int. Dairy J. 13, 409 (2003)
G.N. Smith, E. Brok, M.V. Christiansen, L. Ahrné, Soft Matter 16, 9955 (2020)
G.N. Smith, Food Hydrocoll. 113, 106511 (2021)
I. Marković, R.H. Ottewill, Colloid Polym. Sci. 264, 65 (1986)
K. Ibel, J. Appl. Cryst. 9, 296 (1976)
P. Lindner, R. May, P. Timmins, Physica B: Condens. Matter 180–181, 967 (1992)
P. Lindner, R. Schweins, Neutron News 21, 15 (2010)
M.A. Boyle, A.L. Samaha, A.M. Rodewald, A.N. Hoffmann, Comput. Hum. Behav. 29, 1023 (2013)
I. Breßler, J. Kohlbrecher, A.F. Thünemann, J. Appl. Cryst. 48, 1587 (2015)
Lord Rayleigh, Proc. R. Soc. Lond. A 84, 25 (1910)
J. Kohlbrecher, User guide for the SASfit software package: A program for fitting elementary structural models to small angle scattering data (April 23, 2020), Paul Scherrer Institute, Villigen, Switzerland (2020), https://github.com/SASfit/SASfit/blob/master/doc/manual/sasfit.pdf
C.G. de Kruif, R.P. May, Eur. J. Biochem. 200, 431 (1991)
R.J. Baxter, J. Chem. Phys. 49, 2770 (1968)
C.G. de Kruif, J. Dairy Sci. 81, 3019 (1998)
C.G. de Kruif, J. Colloid Interface Sci. 185, 19 (1997)
G. Stell, J. Stat. Phys. 63, 1203 (1991)
S. Buzzaccaro, R. Rusconi, R. Piazza, Phys. Rev. Lett. 99, 098301 (2007)
M.A. Miller, D. Frenkel, J. Chem. Phys. 121, 535 (2004)
H. Verduin, J.K. Dhont, J. Colloid Interface Sci. 172, 425 (1995)
H.G. Ruis, P. Venema, E. van der Linden, Food Hydrocoll. 21, 545 (2007)
J.S. Pedersen, J. Appl. Cryst. 27, 595 (1994)
D. Gazzillo, A. Giacometti, J. Chem. Phys. 113, 9837 (2000)
F. Pignon, G. Belina, T. Narayanan, X. Paubel, A. Magnin, G. Gésan-Guiziou, J. Chem. Phys. 121, 8138 (2004)
S. Marchin, J.L. Putaux, F. Pignon, J. Léonil, J. Chem. Phys. 126, 045101 (2007)
F. Pignon, G. Belina, T. Narayanan, X. Paubel, A. Magnin, G. Gésan-Guiziou, arXiv p. arXiv:0812.0879 (2008), 0812.0879
D.A. Pink, F. Peyronel, B. Quinn, A.G. Marangoni, Phys. Fluids 31, 077105 (2019)
F. Peyronel, A.G. Marangoni, D.A. Pink, Food Res. Int. 129, 108846 (2020)
G. Beaucage, J. Appl. Cryst. 28, 717 (1995)
G. Beaucage, J. Appl. Cryst. 29, 134 (1996)
B. Ingham, A. Smialowska, G.D. Erlangga, L. Matia-Merino, N.M. Kirby, C. Wang, R.G. Haverkamp, A.J. Carr, Soft Matter 12, 6937 (2016)
G. Fournet, Bull. Soc. Fr. Minér. Crist. 74, 39 (1951)
Y. Efimova, A. van Well, U. Hanefeld, B. Wierczinski, W.G. Bouwman, Physica B: Condens. Matter 350, E877 (2004)
R. Jost, Milk and Dairy Products (American Cancer Society, 2007), ISBN 9783527306732
D.H. Wheeler, R.W. Riemenschneider, C.E. Sando, J. Biol. Chem. 132, 687 (1940)
CRC, in CRC Handbook of Chemistry and Physics, ed. by W.M. Haynes (CRC Press, 2011), chap. Physical Constants of Organic Compounds, 92nd edn
Acknowledgements
While at the Niels Bohr Institute, GNS was funded by the Innovation Fund Denmark (IFD) as part of project Linking Industry to Neutrons and X-rays (LINX) under File No. 5152-00005B.
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Smith, G.N. An alternative analysis of contrast-variation neutron scattering data of casein micelles in semi-deuterated milk. Eur. Phys. J. E 44, 5 (2021). https://doi.org/10.1140/epje/s10189-021-00023-y
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DOI: https://doi.org/10.1140/epje/s10189-021-00023-y