Estimating the anomalous diffusion exponent for single particle tracking data with measurement errors - An alternative approach
暂无分享,去创建一个
Krzysztof Burnecki | Aleksander Weron | Grzegorz Sikora | Yuval Garini | Y. Garini | E. Kepten | K. Burnecki | A. Weron | G. Sikora | Eldad Kepten | Eldad Kepten
[1] J. Bouchaud,et al. Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications , 1990 .
[2] M. Taqqu,et al. Simulation methods for linear fractional stable motion and farima using the fast fourier transform , 2004 .
[3] Krzysztof Burnecki,et al. From solar flare time series to fractional dynamics , 2008, VALUETOOLS.
[4] Krzysztof Burnecki,et al. Statistical modelling of subdiffusive dynamics in the cytoplasm of living cells: A FARIMA approach , 2012 .
[5] Ralf Metzler,et al. Noisy continuous time random walks. , 2013, The Journal of chemical physics.
[6] Richard A. Davis,et al. Introduction to time series and forecasting , 1998 .
[7] P. J. Brockwell,et al. ITSM for Windows: A User's Guide to Time Series Modelling and Forecasting , 1994 .
[8] H. Steinhaus. Algorithms for testing of fractional dynamics : a practical guide to ARFIMA modelling , 2014 .
[9] Y. Garini,et al. Transient anomalous diffusion of telomeres in the nucleus of mammalian cells. , 2009, Physical review letters.
[10] Ido Golding,et al. RNA dynamics in live Escherichia coli cells. , 2004, Proceedings of the National Academy of Sciences of the United States of America.
[11] K. Weron,et al. Moving average process underlying the holographic-optical-tweezers experiments. , 2014, Applied optics.
[12] C. Peng,et al. Mosaic organization of DNA nucleotides. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[13] Krzysztof Burnecki,et al. FARIMA processes with application to biophysical data , 2012 .
[14] Ivo Grosse,et al. Fractionally integrated process with power-law correlations in variables and magnitudes. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[15] M. Weiss,et al. Elucidating the origin of anomalous diffusion in crowded fluids. , 2009, Physical review letters.
[16] Andrey G. Cherstvy,et al. Anomalous diffusion models and their properties: non-stationarity, non-ergodicity, and ageing at the centenary of single particle tracking. , 2014, Physical chemistry chemical physics : PCCP.
[17] J. Käs,et al. Apparent subdiffusion inherent to single particle tracking. , 2002, Biophysical journal.
[18] R. Metzler,et al. Random time-scale invariant diffusion and transport coefficients. , 2008, Physical review letters.
[19] Sergio Arianos,et al. Self-similarity of higher-order moving averages. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.
[20] M. Taqqu,et al. Parameter estimation for infinite variance fractional ARIMA , 1996 .
[21] K. Burnecki,et al. FARIMA MODELING OF SOLAR FLARE ACTIVITY FROM EMPIRICAL TIME SERIES OF SOFT X-RAY SOLAR EMISSION , 2008, 0805.0968.
[22] T. Franosch,et al. Anomalous transport in the crowded world of biological cells , 2013, Reports on progress in physics. Physical Society.
[23] T. Kues,et al. Visualization and tracking of single protein molecules in the cell nucleus. , 2001, Biophysical journal.
[24] K. Burnecki,et al. Fractional Lévy stable motion can model subdiffusive dynamics. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.
[25] D. Sornette,et al. Comparing the performance of FA, DFA and DMA using different synthetic long-range correlated time series , 2012, Scientific Reports.
[26] Xu Liang,et al. A stochastic modeling approach for characterizing the spatial structure of L band radiobrightness temperature imagery , 2003 .
[27] Michael J Saxton,et al. Wanted: a positive control for anomalous subdiffusion. , 2012, Biophysical journal.
[28] J. Klafter,et al. Fractional brownian motion versus the continuous-time random walk: a simple test for subdiffusive dynamics. , 2009, Physical review letters.
[29] D. Reichman,et al. Anomalous diffusion probes microstructure dynamics of entangled F-actin networks. , 2004, Physical review letters.
[30] Krzysztof Burnecki,et al. Guidelines for the Fitting of Anomalous Diffusion Mean Square Displacement Graphs from Single Particle Tracking Experiments , 2015, PloS one.
[31] 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.
[32] D. Ghosh,et al. Fluctuation study of pionisation in ultrarelativistic nucleus-nucleus interaction , 1996 .
[33] A. Carbone,et al. Information Measure for Long-Range Correlated Sequences: the Case of the 24 Human Chromosomes , 2013, Scientific Reports.
[34] Igor M. Sokolov,et al. Models of anomalous diffusion in crowded environments , 2012 .
[35] H. Stanley,et al. Quantifying cross-correlations using local and global detrending approaches , 2009 .
[36] Krzysztof Burnecki,et al. Estimation of FARIMA Parameters in the Case of Negative Memory and Stable Noise , 2013, IEEE Transactions on Signal Processing.
[37] 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.
[38] Dieter W Heermann,et al. Challenges in determining anomalous diffusion in crowded fluids , 2011, Journal of physics. Condensed matter : an Institute of Physics journal.
[39] R. Shanmugam. Introduction to Time Series and Forecasting , 1997 .
[40] R. Metzler,et al. Strange kinetics of single molecules in living cells , 2012 .
[41] M. Yasui,et al. Origin of subdiffusion of water molecules on cell membrane surfaces , 2014, Scientific Reports.
[42] Titiwat Sungkaworn,et al. Single-molecule analysis of fluorescently labeled G-protein–coupled receptors reveals complexes with distinct dynamics and organization , 2012, Proceedings of the National Academy of Sciences.
[43] Karina Weron,et al. Complete description of all self-similar models driven by Lévy stable noise. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[44] 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.
[45] Yasmine Meroz,et al. Unequal twins: probability distributions do not determine everything. , 2011, Physical review letters.
[46] W. Coffey,et al. Diffusion and Reactions in Fractals and Disordered Systems , 2002 .
[47] W. Härdle,et al. Statistics of Financial Markets: An Introduction , 2004 .
[48] G. Ruocco,et al. Structural disorder and anomalous diffusion in random packing of spheres , 2013, Scientific Reports.
[49] C. Jacobs-Wagner,et al. Physical Nature of the Bacterial Cytoplasm , 2014 .
[50] Jeffrey C. Lagarias,et al. Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions , 1998, SIAM J. Optim..
[51] Haim H Bau,et al. Gait synchronization in Caenorhabditis elegans , 2014, Proceedings of the National Academy of Sciences.
[52] M. Magdziarz,et al. Fractional Langevin equation with α-stable noise. A link to fractional ARIMA time series , 2007 .
[53] Yan Ropert-Coudert,et al. Temporal fractals in seabird foraging behaviour: diving through the scales of time , 2013, Scientific Reports.
[54] H. Qian,et al. Single particle tracking. Analysis of diffusion and flow in two-dimensional systems. , 1991, Biophysical journal.
[55] Krzysztof Burnecki,et al. Universal algorithm for identification of fractional Brownian motion. A case of telomere subdiffusion. , 2012, Biophysical journal.
[56] Jan Beran,et al. Statistics for long-memory processes , 1994 .
[57] A. Mix,et al. Synchronization of North Pacific and Greenland climates preceded abrupt deglacial warming , 2014, Science.
[58] P. Brockwell,et al. ITSM for Windows , 1994 .
[59] Ralf Metzler,et al. And did he search for you, and could not find you? , 2009 .
[60] Christian L. Vestergaard,et al. Optimal estimation of diffusion coefficients from single-particle trajectories. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.
[61] C. Granger,et al. AN INTRODUCTION TO LONG‐MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING , 1980 .