Abstract
In this article, we analyze different factors that affect the diffusion behavior of small tracer particles (as they are used, e.g., in fluorescence correlation spectroscopy (FCS)) in the polymer network of a hydrogel and perform simulations of various simplified models. We observe, that under certain circumstances the attraction of a tracer particle to the polymer network strands might cause subdiffusive behavior on intermediate time scales. In theory, this behavior could be employed to examine the network structure and swelling behavior of weakly crosslinked hydrogels with the help of FCS.
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Winkler RG (2007) J Chem Phys 127:054904
Lumma D, Keller S, Vilgis T, Rädler JO (2003) Phys Rev Lett 90:218–301
Nandi CK, Parui PP, Brutschy B, Schmidt TL, Heckel A (2008) Anal Bioanal Chem 390:1595
Bacia K, Scherfeld D, Kahya N, Schwille P (2004) Biophys J 87:1034
Cherdhirankorn T, Best A, Koynov K, Peneva K, Müllen K, Fytas G (2009) J Phys Chem B 113:3355
Cherdhirankorn T, Harmandaris V, Juhari A, Voudouris P, Fytas G, Kremer K, Koynov K (2009) Macromolecules 13:4858
Gallo P, Rovere M (2003) J Phys Condens Matter 15:7625
Dieterich P, Klages R, Preuss R, Schwab A (2008) Proc Natl Acad Sci 105:259
Wong I, Gardel M, Reichman D, Weeks E, Valentine M, Bausch A, Weitz D (2004) Phys Rev Lett 92:178101
Tolić-Nørrelykke IM, Munteanu EL, Thon G, Oddershede L, Berg-Sørensen K (2004) Phys Rev Lett 93:078102
Banks DS, Fradin C (2005) Biophys J 89:2960
Szymanski J, Weiss M (2009) Phys Rev Lett 103(3):038102. doi:10.1103/PhysRevLett.103.038102
Saxton MJ (1996) Biophys J 70:1250
Sprakel J, van der Gucht J, Cohen Stuart MA, Besseling NAM (2007) Phys Rev Lett 99(20):208301. doi:10.1103/PhysRevLett.99.208301
Hu T, Grosberg AY, Shklovskii BI (2006) Biophys J 90(8):2731. doi:10.1529/biophysj.105.078162
Berg OG, Winter RB, von Hippel PH (1981) Biochemistry 20:6929
Flory PJ (1953) Principles of polymer chemistry. Cornell University Press, Ithaca
Pincus P (1976) Macromolecules 9:386. doi:10.1021/ma60051a002
de Gennes PG (1979) Scaling concepts in polymer physics. Cornell University Press, Ithaca
Allen MP, Tildesley DJ (1987) Computer simulation of liquids, 1st edn. Oxford Science Publications, Clarendon Press, Oxford
Padding JT, Louis AA (2006) Phys Rev E Stat Nonlinear Soft Matter Phys 74(3):031402. doi:10.1103/PhysRevE.74.031402
Milchev AI (2002) In: Burkhard Dünweg AIM, Landau DP (eds) Computer simulations of surfaces and interfaces, vol 114. Kluwer, Dordrecht
Limbach HJ, Arnold A, Mann BA, Holm C (2006) Comput Phys Commun 174(9):704. doi:10.1016/j.cpc.2005.10.005
Ben-Avraham D, Havlin S (2000) Diffusion and reactions in fractals and disordered systems. Cambridge University Press, Cambridge
Klages R (2010) In: Schuster HG (ed) Reviews of nonlinear dynamics and complexity, vol 3. Wiley, New York. pp 169–216
Acknowledgements
We acknowledge the financial support provided by the Deutsche Forschungsgemeinschaft (DFG) as part of the SPP 1259 “Intelligente Hydrogele”.
The authors want to thank Georg Fytas, Alexander Grosberg, Owen Hickey, Felix Höfling, Peter Kos̆ovan, Ralf Metzler, Ricardo Raccis, and Roland Winkler for helpful discussions.
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Tabatabaei, F., Lenz, O. & Holm, C. Simulational study of anomalous tracer diffusion in hydrogels. Colloid Polym Sci 289, 523–534 (2011). https://doi.org/10.1007/s00396-011-2393-0
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DOI: https://doi.org/10.1007/s00396-011-2393-0