Distribution of directional change as a signature of complex dynamics

Proceedings of the National Academy of Sciences of the United States of America

Volumn 110, Issue 49, 2013, Pages 19689-19694

  Burov, Stanislav ^a   Ali Tabei, S M ^a   Huynh, Toan ^b   Murrell, Michael P ^c   Philipson, Louis H ^b   Rice, Stuart A ^a,b   Gardel, Margaret L ^a,c,d   Scherer, Norbert F ^a,b,c   Dinner, Aaron R ^a,b,c  

^a UNIVERSITY OF CHICAGO   (United States)

^b Department of Chemistry ^*  (United States)

^c UNIVERSITY OF CHICAGO   (United States)

^d UNIVERSITY OF CHICAGO   (United States)

Author keywords

Angular correlation; Cytoskeleton; Random walks

Indexed keywords

ALPHA ACTININ; F ACTIN; INSULIN;

ACTIVE TRANSPORT; ARTICLE; COLLOID; CORRELATION FUNCTION; CYTOSKELETON; DENSITY; DIFFUSION; DYNAMICS; MEMBRANE MODEL; MOLECULAR DYNAMICS; MOTION; PRIORITY JOURNAL; STATISTICS; VELOCITY;

ANGULAR CORRELATION; CYTOSKELETON; RANDOM WALKS;

ACTIN CYTOSKELETON; COLLOIDS; DATA INTERPRETATION, STATISTICAL; MODELS, THEORETICAL; MOTION; STOCHASTIC PROCESSES;

EID: 84889669784     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1319473110     Document Type: Article

References (36)

1. Stefani FD, Hoogenboom JP, Barkai E (2009) Beyond quantum jumps: Blinking nanoscale light emitters. Phys Today 62:34.
2. Wang B, Anthony SM, Bae SC, Granick S (2009) Anomalous yet Brownian. Proc Natl Acad Sci USA 106(36):15160-15164.
3. Golding I, Cox EC (2006) Physical nature of bacterial cytoplasm. Phys Rev Lett 96(9): 098102.
4. Tabei SM, et al. (2013) Intracellular transport of insulin granules is a subordinated random walk. Proc Natl Acad Sci USA 110(13):4911-4916.
5. Sims DW, et al. (2008) Scaling laws of marine predator search behaviour. Nature 451(7182):1098-1102.
6. Viswanathan G, et al. (1996) Lévy flight search patterns of wandering albatrosses. Nature 381(6581):413-415.
7. Ramos-Fernadez G, et al. (2004) Lévy walk patterns in the foraging movements of spider monkeys (ateles geoffroyi). Behav Ecol Sociobiol 55(3):223-230.
8. Song C, Qu Z, Blumm N, Barabási AL (2010) Limits of predictability in human mobility. Science 327(5968):1018-1021.
9. Einstein A (1905) On the movement of small particles suspended in stationary liquids required by the molecular-kinetic theory of heat. Ann Physik 17(8):549-560.
10. Mandelbrot B, Ness JV (1968) Fractional Brownian motions, fractional noises and applications. SIAM Rev 10(4):422-437.
11. Deng W, Barkai E (2009) Ergodic properties of fractional Brownian-Langevin motion. Phys Rev E Stat Nonlin Soft Matter Phys 79(1 Pt 1):011112.
12. Montroll EW, Weiss GH (1965) Random walks on lattices. II. J Math Phys 6(2):167-181.
13. He Y, Burov S, Metzler R, Barkai E (2008) Random time-scale invariant diffusion and transport coefficients. Phys Rev Lett 101(5):058101.
14. Bel G, Barkai E (2005) Weak ergodicity breaking in the continuous-time random walk. Phys Rev Lett 94(24):240602.
15. Weigel AV, Simon B, Tamkun MM, Krapf D (2011) Ergodic and nonergodic processes coexist in the plasma membrane as observed by single-molecule tracking. Proc Natl Acad Sci USA 108(16):6438-6443.
16. Harrison AW, Kenwright DA, Waigh TA, Woodman PG, Allan VJ (2013) Modes of correlated angular motion in live cells across three distinct time scales. Phys Biol 10(3): 036002.
17. Kubo R, Toda N, Hashitsume N (1991) Statistical Physics II (Springer Verlag, Heidelberg).
18. Stanely HE (1996) Fractals and Disordered Systems, eds Bunde A, Havlin S (Springer Verlag, Heidelberg), p 1.
19. Goychuk I (2012) Viscoelastic subdiffusion: Generalized langevin equation approach. Adv Chem Phys 150:187-253.
20. Fogedby HC (1994) Langevin equations for continuous time Lévy flights. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics 50(2):1657-1660.
21. Cui B, Diamant H, Lin B, Rice SA (2004) Anomalous hydrodynamic interaction in a quasi-two-dimensional suspension. Phys Rev Lett 92(25 Pt 1):258301.
22. Weeks ER, Crocker JC, Levitt AC, Schofield A, Weitz DA (2000) Three-dimensional direct imaging of structural relaxation near the colloidal glass transition. Science 287(5453):627-631.
23. Alder BJ, Wainwright TE (1967) Velocity autocorrelations for hard spheres. Phys Rev Lett 18(23):988-990.
24. Rajan S, et al. (2010) In vitro processing and secretion of mutant insulin proteins that cause permanent neonatal diabetes. Am J Physiol Endocrinol Metab 298(3): E403-E410.
25. Meroz Y, Sokolov IM, Klafter J (2010) Subdiffusion of mixed origins: When ergodicity and nonergodicity coexist. Phys Rev E Stat Nonlin Soft Matter Phys 81(1 Pt 1):010101.
26. Murrell MP, Gardel ML (2012) F-actin buckling coordinates contractility and severing in a biomimetic actomyosin cortex. Proc Natl Acad Sci USA 109(51):20820-20825.
27. Lenz M, Thoresen T, Gardel ML, Dinner AR (2012) Contractile units in disordered actomyosin bundles arise from F-actin buckling. Phys Rev Lett 108(23):238107.
28. Lenz M, Gardel ML, Dinner AR (2012) Requirements for contractility in disordered cytoskeletal bundles. New J Phys 14:033037.
29. van Hove L (1954) Correlations in space and time and Born approximation scattering in systems of interacting particles. Phys Rev 95(1):249-262.
30. Grest GS, Nagel SR, Rahman A, Witten TA (1981) Density of states and the velocity autocorrelation function derived from quench studies. J Chem Phys 74(6):3532-3534.
31. Hedges LO, Maibaum L, Chandler D, Garrahan JP (2007) Decoupling of exchange and persistence times in atomistic models of glass formers. J Chem Phys 127(21):211101.
32. Magdziarz M, Weron A, Burnecki K, Klafter J (2009) Fractional Brownian motion versus the continuous-time random walk: A simple test for subdiffusive dynamics. Phys Rev Lett 103(18):180602.
33. Tejedor V, et al. (2010) Quantitative analysis of single particle trajectories: Mean maximal excursion method. Biophys J 98(7):1364-1372.
34. Wang B, Kuo J, Bae SC, Granick S (2012) When Brownian diffusion is not Gaussian. Nat Mater 11(6):481-485.
35. Burrage K, Lenane I, Lythe G (2007) Numerical methods for second-order stochastic differential equations. SIAM J Sci Comput 29:245-264.
36. Hosking JRM (1984) Modeling persistence in hydrological time series using fractional differencing. Water Resour Res 20(12):1898-1908.