Theory of Anomalous Diffusion Dynamics in Biomacromolecular Media★
Received date: 2023-04-27
Online published: 2023-06-02
Supported by
State Key Development Program of Basic Research of China(2022YFA1200061); National Natural Science Foundation of China(22025302); National Natural Science Foundation of China(21873053); State Key Laboratory of Chemical Engineering(SKL-ChE-23T01)
Diffusion behavior in life system involves important life processes such as nutrient uptake and drug delivery. A deeper understanding about diffusive behavior of particles in complex biomacromolecular media will facilitate the understanding of relevant life phenomena as well as the development of novel medical materials. The diffusion behavior in biomacromolecular media is often anomalous and cannot be described simply based on the conventional diffusion constant equation. This is usually attributed to the continuous correlation of diffusion caused by crowded environment and complex interactions in biological medium, which leads to the central limit theorem no longer applicable. The mechanism and physical characteristics of anomalous diffusion were analyzed from three aspects: diffusion coefficient, mean square displacement, and displacement probability distribution function. The recent progress of anomalous diffusion in biomacromolecular media was summarized. The physical model and existing theoretical framework of anomalous diffusion are then outlined. Finally, the future direction of anomalous diffusion dynamics in biomacromolecular media is discussed.
Wenjie Wei , Wenlong Chen , Xiaobin Dai , Li-Tang Yan . Theory of Anomalous Diffusion Dynamics in Biomacromolecular Media★[J]. Acta Chimica Sinica, 2023 , 81(8) : 967 -978 . DOI: 10.6023/A23040172
[1] | Brown R. Philos. Mag. 1828, 4, 161. |
[2] | Einstein A. Ann. Phys. 1905, 17, 549. |
[3] | Smoluchowski M. von. Ann. Phys. 1906, 21, 756. |
[4] | Sacanna S.; Pine D. J. J. Colloid Interface Sci. 2011, 16, 96. |
[5] | Lee K. J.; Yoon J.; Lahann J. J. Colloid Interface Sci. 2011, 16, 195. |
[6] | Li X.; Vlahovska P. M.; Karniadakis G. E. Soft Matter. 2013, 9, 28. |
[7] | Frey E.; Kroy K. Ann. Phys. 2005, 517, 20. |
[8] | Smith P. R.; Morrison I. E. G.; Wilson K. M.; Fernandez N.; Cherry R. J. Biophys. J. 1999, 76, 3331. |
[9] | Caspi A.; Granek R.; Elbaum M. Phys. Rev. Lett. 2000, 87, 5655. |
[10] | Seisenberger G.; Ried M. U.; Endress T.; Buning H.; Hallek M.; Brauchle C. Science 2001, 294, 1929. |
[11] | Weiss M.; Elsner E.; Kartberg F.; Nilson T. Biophys. J. 2004, 87, 3518. |
[12] | Golding I.; Cox E. Phys. Rev. Lett. 2006, 96, 098102. |
[13] | Saxton M. J. Biophys. J. 2007, 92, 1178. |
[14] | Weber S. C.; Spakowitz A. J.; Theriot J. A. Phys. Rev. Lett. 2010, 104, 238102. |
[15] | Malchus N.; Weiss M. J. Fluoresc. 2010, 20, 19. |
[16] | Hofling F.; Bamberg K. U.; Franosch T. Soft Matter. 2011, 7, 1358. |
[17] | Bancaud A.; Huet S.; Daigle N.; Mozziconacci J.; Beaudouin J.; Ellenberg J. EMBO J. 2009, 28, 3785. |
[18] | Weber S. C.; Spakowitz A. J.; Theriot J. A. Phys. Rev. Lett. 2010, 104, 238102. |
[19] | Wong I. Y.; Gardel M. L.; Reichman D. R.; Weeks E. R.; Valentine M. T.; Bausch A. R.; Weitz D. A. Phys. Rev. Lett. 2004, 92, 178101. |
[20] | Gielen E.; Vercammen J.; Sykora J.; Humpolickova J.; Vandeven M.; Benda A.; Hellings N.; Hof M.; Engelborghs Y.; Steels P.; Ameloot M. C. R. Biol. 2005, 328, 1057. |
[21] | Dai X. B.; Zhang X. Y.; Gao L. J.; Yan L. T. Acta Polym. Sin. 2021, 52, 1076. (in Chinese) |
[21] | ( 戴晓彬, 张轩钰, 高丽娟, 燕立唐, 高分子学报, 2021, 52, 1076.) |
[22] | Weiss M.; Elsner M.; Kartberg F.; Nilsson T. Biophys. J. 2004, 87, 3518. |
[23] | Ando T.; Skolnick J. Proc. Natl. Acad. Sci. U. S. A. 2010, 107, 18457. |
[24] | Baumg artner, A.; Muthukumar, M. J. Chem. Phys. 1987, 87, 3082. |
[25] | Slater G. W.; Wu S. Y. Phys. Rev. Lett. 1995, 75, 164. |
[26] | Nixon G. I.; Slater G. W. Phys. Rev. E 1999, 60, 3170. |
[27] | Tabatabaei F.; Lenz O.; Holm C. Colloid Polym. Sci. 2011, 289, 523. |
[28] | Shi H. B.; Yu Y. X.; Gao G. H. Acta Chim. Sinica 2005, 63, 358. (in Chinese) |
[28] | ( 史红兵, 于养信, 高光华, 化学学报, 2005, 63, 358.) |
[29] | Huang Y. R.; Zheng X.; Hu G. Q. Physics of Gases, 2018, 3, 1. (in Chinese) |
[29] | ( 黄艺荣, 郑旭, 胡国庆, 气体物理, 2018, 3, 1.) |
[30] | Skaug M. J.; Faller R.; Longo M. L. J. Chem. Phys. 2011, 134, 215101. |
[31] | Nicolau D. V. Jr.; Hancock J. F.; Burrage K. Biophys. J. 2007, 92, 1975. |
[32] | Niehaus A. M. S.; Vlachos D. G.; Edwards J. S.; Plechac P.; Tribe R. Biophys. J. 2008, 94, 1551. |
[33] | Fick A. Ann. Phys. 1855, 170, 59. |
[34] | Perrin J. Acad. Sci. Paris C. R. 1908, 146, 967. |
[35] | Langevin P. Acad. Sci. Paris C. R. 1908, 146, 530. |
[36] | Anish T.; Michael E. M. Nano Lett. 2007, 7,1276. |
[37] | Yamamoto U.; Schweizer K. S. Macromolecules 2014, 48, 152. |
[38] | Popova H.; Egorov S. A.; Milchev A. J. Chem. Phys. 2020, 152, 234902. |
[39] | Kalathi J. T.; Yamamoto U.; Schweizer K. S.; Grest G. S.; Kumar S. K. Phys. Rev. Lett. 2014, 112, 108301. |
[40] | Cai L. H.; Panyukov S.; Rubinstein M. Macromolecules 2015, 48, 847. |
[41] | Dell Z. E.; Schweizer K. S. Macromolecules 2013, 47, 405. |
[42] | Guo H.; Bourret G.; Lennox R. B.; Sutton M.; Harden J. L.; Leheny R. L. Phys. Rev. Lett. 2012, 109, 055901. |
[43] | Xu Z.; Dai X.; Bu X.; Yang Y.; Zhang X.; Man X.; Zhang X.; Doi M.; Yan L. T. ACS Nano. 2021, 15, 4608. |
[44] | Dai X.; Zhang X.; Gao L.; Xu Z.; Yan L. T. Nat. Commun. 2022, 13, 4094. |
[45] | Viswanathan G. M.; Buldyrev S. V.; Havlin S.; da, luz, M. G. E.; Raposo, E. P.; Stanley H. E. Nature 1999, 401, 911. |
[46] | Wang B.; Kuo J.; Granick S. Phys. Rev. Lett. 2013, 111, 208102. |
[47] | Barthelemy P.; Bertolotti J.; Wiersma D. S. Nature 2008, 453, 495. |
[48] | Chen K.; Wang B.; Granick S. Nat. Mater. 2015, 14, 589. |
[49] | Chen P.; Yue H.; Zhai X.; Huang Z.; Ma G. H.; Wei W.; Yan L. T. Sci. Adv. 2019, 5, 3192. |
[50] | Huang Z.; Chen P.; Zhu G.; Yang Y.; Xu Z.; Yan L. T. ACS Nano. 2018, 12, 6725. |
[51] | Chen P.; Huang Z.; Liang J.; Cui T.; Zhang X.; Miao B.; Yan L. T. ACS Nano. 2016, 10, 11541. |
[52] | Chen K.; Wang B.; Guan J.; Granick S. ACS Nano. 2013, 7, 8634. |
[53] | Wang B.; Anthony S. M.; Bae S. C.; Granick S. Proc. Natl. Acad. Sci. U. S. A. 2009, 106, 15160. |
[54] | Leptos K. C.; Guasto J. S.; Gollub J. P.; Pesci A. I.; Goldstein R. E. Phys. Rev. Lett. 2009, 103, 198103. |
[55] | Menzel A. M.; Goldenfeld N. Phys. Rev. E 2011, 84, 011122. |
[56] | Kurtuldu H.; Guasto J. S.; Johnson K. A.; Gollub J. P. Proc. Natl. Acad. Sci. U. S. A. 2011, 108, 10391. |
[57] | Eaves J. D.; Reichman D. R. Proc. Natl. Acad. Sci. U. S. A. 2011, 106, 15171. |
[58] | Stariolo D. A.; Fabricius G. J. Chem. Phys. 2006, 125, 064505. |
[59] | Saltzman E. J.; Schweizer K. S. Phys. Rev. E 2008, 77, 051504. |
[60] | Weeks E. R.; Crocker J. C.; Levitt A. C.; Schofield A.; Weitz D. A. Science 2000, 287, 627. |
[61] | Kegel W. K.; van Blaaderen A. Science 2000, 287, 290. |
[62] | Chaudhuri P.; Berthier L.; Kob W. Phys. Rev. Lett. 2007, 99, 060604. |
[63] | Gao Y.; Kilfoil M. L. Phys. Rev. Lett. 2007, 99, 078301. |
[64] | Wang B.; Kuo J.; Bae S. C.; Granick S. Nat. Mater. 2012, 11, 481. |
[65] | Zhang X.; Dai X.; Habib M. A.; Xu Z. Y.; Gao L. J.; Chen W. L.; Wei W. J.; Tang Z. Q.; Qi X. Y.; Gong X. J.; Jiang L. X.; Yan, L. T. arXiv preprint arXiv:2212. 13341, 2022. |
[66] | Beck C.; Cohen E. G. Physica A 2003, 322, 267. |
[67] | Beck C. Prog. Theo. Phys. Supp. 2006, 162, 29. |
[68] | Van der Straeten E.; Beck C. Phys. Rev. E. 2009, 80, 036108. |
[69] | Hapca S.; Crawford J. W.; Young I. M. J. R. Soc. Interface 2009, 6, 111. |
[70] | Chubynsky M. V.; Slater G. W. Phys. Rev. Lett. 2014, 113, 098302. |
[71] | Jain R.; Sebastian K. L. J. Phys. Chem. B 2016, 120, 3988. |
[72] | Chechkin A. V.; Seno F.; Metzler R.; Sokolov I. M. Phys. Rev. X. 2017, 7, 021002. |
[73] | Mura A.; Taqqu M. S.; Mainardi F. Physica A 2008, 387, 5033. |
[74] | Mura A.; Mainardi F. Integral Transform Spec. Funct. 2009, 20, 185. |
[75] | Pagnini G.; Kober E. Fract. Calc. Appl. Anal. 2012, 5, 117. |
[76] | Benoit B. M.; John W. V. N. SIAM Rev. Soc. Ind. Appl. Math. 1968, 10, 422. |
[77] | Montroll E. W.; Weiss G. H. J. Math. Phys. 1965, 6, 167. |
[78] | Risken H. In Part of the Springer Series in Synergetics Book Series, Vol. 18, Ed.: Haken, H., Springer, Berlin, 1996, Chapter 3. |
[79] | Ralf M.; Eli B.; Joseph K. Phys. Rev. Lett. 1999, 82, 3563. |
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