Abstract
In cell environments crowded with macromolecules, the depletion effects act and assist in the assembly of a wide range of cellular structures, from the cytoskeleton to the chromatin loop, which are well accepted. But a recent quantum dot experiment indicated that the dimensions of the receptor–ligand complex have strong effects on the size-dependent exclusion of proteins in cell environments. In this article, a continuum elastic model is constructed to resolve the competition between the dimension of the receptor–ligand complex and depletion effects in the endocytosis of a spherical virus-like bioparticle. Our results show that the depletion effects do not always assist endocytosis of a spherical virus-like bioparticle; while the dimension of the ligand–receptor complex is larger than the size of a small bioparticle in cell environments, the depletion effects do not work and reverse effects appear. The ligand density covered on the virus can be identified quantitatively.
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References
J. L. Barrat and J. P. Hansen, Basic Concepts for Simple and Complex Liquids (Cambridge Univ. Press, Cambridge, 2003).
D. Marenduzzo, K. Finan, and P. R. Cook, J. Cell Biol. 175, 681 (2006).
S. Asakura and F. Oosawa, J. Polym. Sci. 33, 183 (1958).
S. Asakura and F. Oosawa, J. Chem. Phys. 22, 1255 (1954).
A. D. Dinsmore, D. T. Wong, P. Nelson, and A. G. Yodh, Phys. Rev. Lett. 80, 409 (1998).
K. Park, H. Koerner, and R. A. Vaia, Nano Lett. 10, 1433 (2010).
D. Baranov, A. Fiore, M. van Huis, et al., Nano Lett. 10, 743 (2010).
D. Marenduzzo, K. Finan, and P. R. Cook, J. Cell Biol. 175, 681 (2006).
A. E. Nel, L. Madler, D. Velegol, et al., Nature Mater. 8, 543 (2009).
Yan-Hui Liu, Yingbing Chen, Wei Mao, et al., Front. Phys. 9, 519 (2014).
J.-M. Alakoskela, A. L. Koner, D. Rudnicka, et al., Biophys. J. 100, 2865 (2011).
Yingbing Chen, Yan-Hui Liu, Yan Zeng, et al., Front. Phys. 10, 116 (2015).
P. Nelson, Biological Physics, Energy, Information, and Life (W. H. Freeman, New York, Basingstoke, 2007).
G. I. Bell, Science 200, 618 (1978).
Z. C. Ouyang, J. X. Liu, and Y. Z. Xie, Geometric Methods in the Elastic Theory of Membranes in Liquid-Crystal Phase (World Scientific, Singapore, 1999).
S. X. Sun and D. Wirtz, Biophys. J. 90, L10 (2006).
L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Pergamon, Oxford, 1986).
S. Tzlil, M. Desermo, W. M. Gelbart, and A. Ben-Shal, Biophys. J. 86, 2037 (2004).
N. Kol, Yu Shi, M. Tsvitov, et al., Biophys. J. 92, 1777 (2009).
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Wang, C., Liu, Y., Fan, Y. et al. Reverse depletion effects and the determination of ligand density on some spherical bioparticles. J. Exp. Theor. Phys. 122, 1117–1121 (2016). https://doi.org/10.1134/S1063776116050228
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DOI: https://doi.org/10.1134/S1063776116050228