Identifying transport behavior of single-molecule trajectories.

[1]  J. H. Cushman,et al.  Generalized similarity, renormalization groups, and nonlinear clocks for multiscaling. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  P. Cicuta,et al.  Short-time movement of E. coli chromosomal loci depends on coordinate and subcellular localization , 2013, Nature Communications.

[3]  T. Sejnowski,et al.  Anomalous diffusion of single particles in cytoplasm. , 2013, Biophysical journal.

[4]  A. Kuznetsov,et al.  Intracellular transport of insulin granules is a subordinated random walk , 2013, Proceedings of the National Academy of Sciences.

[5]  T. Franosch,et al.  Anomalous transport in the crowded world of biological cells , 2013, Reports on progress in physics. Physical Society.

[6]  Yuval Garini,et al.  Improved estimation of anomalous diffusion exponents in single-particle tracking experiments. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  J. H. Cushman,et al.  Random Renormalization Group Operators Applied to Stochastic Dynamics , 2012 .

[8]  Daniel O'Malley,et al.  Two-scale renormalization-group classification of diffusive processes. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  John H. Cushman,et al.  A Renormalization Group Classification of Nonstationary and/or Infinite Second Moment Diffusive Processes , 2012 .

[10]  Aubrey V. Weigel,et al.  Ergodic and nonergodic processes coexist in the plasma membrane as observed by single-molecule tracking , 2011, Proceedings of the National Academy of Sciences.

[11]  X. Michalet Mean square displacement analysis of single-particle trajectories with localization error: Brownian motion in an isotropic medium. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Ralf Metzler,et al.  Analysis of short subdiffusive time series: scatter of the time-averaged mean-squared displacement , 2010 .

[13]  Daphne Weihs,et al.  Experimental evidence of strong anomalous diffusion in living cells. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  J. Klafter,et al.  Fractional brownian motion versus the continuous-time random walk: a simple test for subdiffusive dynamics. , 2009, Physical review letters.

[15]  Y. Asgari,et al.  Computer simulation study of the Levy flight process , 2009, 1001.2166.

[16]  Joachim O Rädler,et al.  Temporal analysis of active and passive transport in living cells. , 2008, Physical review letters.

[17]  E. Barkai,et al.  Ergodic properties of fractional Brownian-Langevin motion. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  R. Metzler,et al.  Random time-scale invariant diffusion and transport coefficients. , 2008, Physical review letters.

[19]  Maxime Dahan,et al.  Transient directed motions of GABA(A) receptors in growth cones detected by a speed correlation index. , 2007, Biophysical journal.

[20]  J. Henry,et al.  Analysis of transient behavior in complex trajectories: application to secretory vesicle dynamics. , 2006, Biophysical journal.

[21]  X. Xie,et al.  Observation of a power-law memory kernel for fluctuations within a single protein molecule. , 2005, Physical review letters.

[22]  J. Klafter,et al.  The random walk's guide to anomalous diffusion: a fractional dynamics approach , 2000 .

[23]  D. Zanette Statistical-thermodynamical foundations of anomalous diffusion , 1999, cond-mat/9905064.

[24]  W. Linde STABLE NON‐GAUSSIAN RANDOM PROCESSES: STOCHASTIC MODELS WITH INFINITE VARIANCE , 1996 .

[25]  M. Taqqu,et al.  Stable Non-Gaussian Random Processes : Stochastic Models with Infinite Variance , 1995 .

[26]  A. Wood,et al.  Simulation of Stationary Gaussian Processes in [0, 1] d , 1994 .

[27]  H. Qian,et al.  Single particle tracking. Analysis of diffusion and flow in two-dimensional systems. , 1991, Biophysical journal.

[28]  J. Bouchaud,et al.  Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications , 1990 .

[29]  Dr. Morton H. Friedman Principles and Models of Biological Transport , 1986, Springer Berlin Heidelberg.

[30]  Sophie Achard,et al.  Discrete variations of the fractional Brownian motion in the presence of outliers and an additive noise , 2010 .

[31]  J. L. Nolan Stable Distributions. Models for Heavy Tailed Data , 2001 .

[32]  竹中 茂夫 G.Samorodnitsky,M.S.Taqqu:Stable non-Gaussian Random Processes--Stochastic Models with Infinite Variance , 1996 .

[33]  N. Kuiper Tests concerning random points on a circle , 1960 .

[34]  S. Lowen The Biophysical Journal , 1960, Nature.