Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Mathematical and physical modeling of Single Particle Tracking - Big Data approach

2016/23/G/ST1/04083

Keywords:

mathematical and physical modeling Single Particle Tracking fractional dynamics big data transient diffusion statistical inference

Descriptors:

  • ST1_18: Control theory and optimisation
  • ST1_13: Probability and statistics
  • ST3_17: Other related subjects

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Politechnika Wrocławska

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Aleksander Weron 

Number of co-investigators in the project: 7

Call: BEETHOVEN 2 - announced on 2016-09-15

Amount awarded: 818 900 PLN

Project start date (Y-m-d): 2018-04-27

Project end date (Y-m-d): 2023-04-26

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Laptop (2 szt.) (11 808 PLN)
  2. Komputer klasy PC (2 szt.) (12 000 PLN)

Information in the final report

  • Publication in academic press/journals (38)
  1. A note on averaging day-ahead electricity price forecasts across calibration windows
    Authors:
    K. Hubicka, G. Marcjasz, R. Weron
    Academic press:
    IEEE Transactions on Sustainable Energy (rok: 2019, tom: 10, strony: 321-323), Wydawca: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
    Status:
    Published
    DOI:
    10.1109/TSTE.2018.2869557 - link to the publication
  2. Boosting the performance of anomalous diffusion classifiers with the proper choice of features
    Authors:
    P. Kowalek, H. Loch-Olszewska, Ł. Łaszczuk, J. Opała, J. Szwabiński
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2022, tom: 55, strony: 244005), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8121/ac6d2a - link to the publication
  3. Classification of random trajectories based on the fractional Lévy stable motion
    Authors:
    J. Janczura, K. Burnecki, M. Muszkieta, A. Stanislavsky, A. Weron
    Academic press:
    Chaos, Solitons & Fractals (rok: 2022, tom: 154, strony: 111606), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.chaos.2021.111606 - link to the publication
  4. Inhomogeneous membrane receptor diffusion explained by a fractional heteroscedastic time series model
    Authors:
    M. Balcerek, H. Loch-Olszewska, J.A. Torreno-Pina, M.F. Garcia-Parajo,A. Weron, C. Manzo, K. Burnecki
    Academic press:
    PHYSICAL CHEMISTRY CHEMICAL PHYSICS (rok: 2019, tom: 21, strony: 3114-3121), Wydawca: ROYAL SOC CHEMISTRY
    Status:
    Published
    DOI:
    10.1039/c8cp06781c - link to the publication
  5. Objective comparison of methods to decode anomalous diffusion
    Authors:
    G. Muñoz-Gil, G Volpe, M.A. Garcia-March et al.
    Academic press:
    Nature Communications (rok: 2021, tom: 12, strony: 6253), Wydawca: Nature Research
    Status:
    Published
    DOI:
    10.1038/s41467-021-26320-w - link to the publication
  6. Random coefficient autoregressive processes describe Brownian yet non-Gaussian diffusion in heterogeneous systems
    Authors:
    J. Ślęzak, K. Burnecki, R. Metzler
    Academic press:
    NEW JOURNAL OF PHYSICS (rok: 2019, tom: 21, strony: 73056), Wydawca: IOP PUBLISHING LTD
    Status:
    Published
    DOI:
    10.1088/1367-2630/ab3366 - link to the publication
  7. Temperature and friction fluctuations inside a harmonic potential
    Authors:
    Y. Lanoiselée, A. Stanislavsky, D. Calebiro, A. Weron
    Academic press:
    PHYSICAL REVIEW E (rok: 2022, tom: 106, strony: 64127), Wydawca: AMERICAN PHYSICAL SOCIETY
    Status:
    Published
    DOI:
    10.1103/PhysRevE.106.064127 - link to the publication
  8. Time-dependent classification of protein diffusion types: A statistical detection of mean-squared-displacement exponent transitions
    Authors:
    K. Hubicka, J. Janczura
    Academic press:
    PHYSICAL REVIEW E (rok: 2020, tom: 101, strony: 22107), Wydawca: AMERICAN PHYSICAL SOCIETY
    Status:
    Published
    DOI:
    10.1103/PhysRevE.101.022107 - link to the publication
  9. Application of wavelet transform for machine learning classification of time series
    Authors:
    L. Kirichenko, O. Pichugina, T. Radivilova, K. Pavlenko
    Academic press:
    Lecture Notes in Data Engineering, Computational Intelligence, and Decision Making (rok: 2023, tom: 149, strony: 547–563), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/978-3-031-16203-9_31 - link to the publication
  10. Classification of particle trajectories in living cells: Machine learning versus statistical testing hypothesis for fractional anomalous diffusion
    Authors:
    J. Janczura, P. Kowalek, H. Loch-Olszewska, J. Szwabiński, A. Weron
    Academic press:
    Physical Review E (rok: 2020, tom: 102, strony: 32402), Wydawca: AMERICAN PHYSICAL SOCIETY
    Status:
    Published
    DOI:
    10.1103/PhysRevE.102.032402 - link to the publication
  11. Look at tempered subdiffusion in a conjugate map: Desire for the confinement
    Authors:
    A. Stanislavsky, A. Weron
    Academic press:
    Entropy (rok: 2020, tom: 22, strony: 1317), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e22111317 - link to the publication
  12. Mathematical models for dynamics of molecular processes in living biological cells. A single particle tracking approach
    Authors:
    A. Weron
    Academic press:
    Annales Mathematicae Silesianae (rok: 2018, tom: 32, strony: 15097), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/amsil-2017-0019 - link to the publication
  13. Optimal non-Gaussian search with stochastic resetting
    Authors:
    A. Stanislavsky, A. Weron
    Academic press:
    Physical Review E (rok: 2021, tom: 104, strony: 14125), Wydawca: AMERICAN PHYSICAL SOCIETY
    Status:
    Published
    DOI:
    10.1103/PhysRevE.104.014125 - link to the publication
  14. Classification of diffusion modes in single-particle tracking data: Feature-based versus deep-learning approach
    Authors:
    P. Kowalek, H. Loch-Olszewska, J. Szwabiński
    Academic press:
    Physical Review E (rok: 2019, tom: 100, strony: 32410), Wydawca: AMERICAN PHYSICAL SOCIETY
    Status:
    Published
    DOI:
    10.1103/PhysRevE.100.032410 - link to the publication
  15. Detection of anomalous diffusion with deep residual networks
    Authors:
    M. Gajowczyk, J. Szwabiński
    Academic press:
    Entropy (rok: 2021, tom: 23, strony: 649), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e23060649 - link to the publication
  16. Duality of fractional systems
    Authors:
    A. Stanislavsky, A. Weron
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2021, tom: 101, strony: 105861), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2021.105861 - link to the publication
  17. First passage time moments of asymmetric Levy flights
    Authors:
    A. Padash, A.V. Chechkin, B. Dybiec, M. Magdziarz, B. Shokri, R. Metzler
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2020, tom: 53, strony: 275002), Wydawca: IOP PUBLISHING LTD
    Status:
    Published
    DOI:
    10.1088/1751-8121/ab9030 - link to the publication
  18. Identifying heterogeneous diffusion states in the cytoplasm by a hidden Markov model
    Authors:
    J. Janczura, M. Balcerek, K. Burnecki, A. Sabri, M. Weiss, D. Krapf
    Academic press:
    New Journal of Physics (rok: 2021, tom: 23, strony: 53018), Wydawca: IOP PUBLISHING LTD
    Status:
    Published
    DOI:
    10.1088/1367-2630/abf204 - link to the publication
  19. Omnibus test for normality based on the Edgeworth expansion
    Authors:
    A. Wyłomańska, D. R. Iskander, K. Burnecki
    Academic press:
    PLoS ONE (rok: 2020, tom: 15(6), strony: e0233901.), Wydawca: PUBLIC LIBRARY SCIENCE
    Status:
    Published
    DOI:
    10.1371/journal.pone.0233901 - link to the publication
  20. Prediction performance of Hidden Markov modelling for solar flares
    Authors:
    A. Stanislavsky, W. Nitka, M. Małek, K. Burnecki, J. Janczura
    Academic press:
    Journal of Atmospheric and Solar-Terrestrial Physics (rok: 2020, tom: 208, strony: 105407), Wydawca: PERGAMON-ELSEVIER SCIENCE LTD
    Status:
    Published
    DOI:
    10.1016/j.jastp.2020.105407 - link to the publication
  21. Properties and distribution of the dynamical functional for the fractional Gaussian noise
    Authors:
    H. Loch-Olszewska
    Academic press:
    APPLIED MATHEMATICS AND COMPUTATION (rok: 2019, tom: 356, strony: 252–271), Wydawca: ELSEVIER SCIENCE INC
    Status:
    Published
    DOI:
    10.1016/j.amc.2019.03.038 - link to the publication
  22. Subdiffusive search with home returns via stochastic resetting: a subordination scheme approach
    Authors:
    A.A. Stanislavsky, A. Weron
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2022, tom: 55, strony: 74004), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8121/ac4a1c - link to the publication
  23. Tempered fractionally integrated process with stable noise as a transient anomalous diffusion model
    Authors:
    F. Sabzikar, J. Kabala, K. Burnecki
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2022, tom: 55, strony: 174002), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8121/ac5b92 - link to the publication
  24. Accelerating and retarding anomalous diffusion: A Bernstein function approach
    Authors:
    A. Stanislavsky, A. Weron
    Academic press:
    Physical Review E (rok: 2020, tom: 101, strony: 52119), Wydawca: AMERICAN PHYSICAL SOCIETY
    Status:
    Published
    DOI:
    10.1103/PhysRevE.101.052119 - link to the publication
  25. Control of the transient subdiffusion exponent at short and long times
    Authors:
    A. Stanislavsky, A. Weron
    Academic press:
    PHYSICAL REVIEW RESEARCH (rok: 2019, tom: 1, strony: 023006, 1-6), Wydawca: AMERICAN PHYSICAL SOCIETY
    Status:
    Published
    DOI:
    10.1103/PhysRevResearch.1.023006 - link to the publication
  26. Discriminating Gaussian processes via quadratic form statistics
    Authors:
    M. Balcerek, K. Burnecki, G. Sikora, A. Wyłomańska
    Academic press:
    Chaos (rok: 2021, tom: 31, strony: 63101), Wydawca: AIP
    Status:
    Published
    DOI:
    10.1063/5.0044878 - link to the publication
  27. Fractional Brownian motion with random Hurst exponent: Accelerating diffusion and persistence transitions
    Authors:
    M. Balcerek, K. Burnecki, S. Thapa, A. Wyłomańska, A. Chechkin
    Academic press:
    Chaos (rok: 2022, tom: 32, strony: 93114), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0101913 - link to the publication
  28. Identifying diffusive motions in single-particle trajectories on the plasma membrane via fractional time-series models
    Authors:
    K. Burnecki, G. Sikora, A. Weron, M.M. Tamkun, D. Krapf
    Academic press:
    PHYSICAL REVIEW E (rok: 2019, tom: 99, strony: 12101), Wydawca: AMERICAN PHYSICAL SOCIETY
    Status:
    Published
    DOI:
    10.1103/PhysRevE.99.012101 - link to the publication
  29. Insight into the intestinal microbiome of farrowing sows following the administration of garlic (Allium sativum) extract and probiotic bacteria cultures under farming conditions
    Authors:
    M. Satora, M. Magdziarz, A. Rząsa, K. Rypuła, K. Płoneczka-Janeczko
    Academic press:
    BMC Veterinary Research (rok: 2020, tom: 16, strony: 442), Wydawca: BMC
    Status:
    Published
    DOI:
    10.1186/s12917-020-02659-y - link to the publication
  30. Simulation and tracking of fractional particles motion. From microscopy video to statistical analysis. A Brownian bridge approach
    Authors:
    M. Muszkieta, J. Janczura, A. Weron
    Academic press:
    Applied Mathematics and Computation (rok: 2021, tom: 396, strony: 125902), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.amc.2020.125902 - link to the publication
  31. Solar X-ray variability in terms of a fractional heteroskedastic time series model
    Authors:
    A.A. Stanislavsky ,K. Burnecki , J. Janczura , K. Niczyj, A. Weron
    Academic press:
    MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (rok: 2019, tom: 485, strony: 3970-3980), Wydawca: OXFORD UNIVERSITY PRESS
    Status:
    Published
    DOI:
    10.1093/mnras/stz656 - link to the publication
  32. Testing of fractional Brownian motion in a noisy environment
    Authors:
    M. Balcerek, K. Burnecki
    Academic press:
    Chaos, Solitons and Fractals (rok: 2020, tom: 140, strony: 110097), Wydawca: ScienceDirect
    Status:
    Published
    DOI:
    10.1016/j.chaos.2020.110097 - link to the publication
  33. Testing of multifractional Brownian motion
    Authors:
    M. Balcerek, K. Burnecki
    Academic press:
    Entropy (rok: 2020, tom: 22(12), strony: 1403), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e22121403 - link to the publication
  34. Confined modes of single-particle trajectories induced by stochastic resetting
    Authors:
    A. Stanislavsky, A. Weron
    Academic press:
    PHYSICAL REVIEW E (rok: 2023, ), Wydawca: AMERICAN PHYSICAL SOCIETY
    Status:
    Submitted
    DOI:
    brak - link to the publication
  35. Functional convergence of continuous-time random walks with continuous paths
    Authors:
    M. Magdziarz, P. Zebrowski
    Academic press:
    Communications in Contemporary Mathematics (rok: 2023, tom: 25, strony: 2150106), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219199721501066 - link to the publication
  36. Impact of feature choice on machine learning classification of fractional anomalous diffusion
    Authors:
    H.Loch-Olszewska, J. Szwabiński
    Academic press:
    Entropy (rok: 2020, tom: 22, strony: 1436), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e22121436 - link to the publication
  37. Statistical testing approach for fractional anomalous diffusion classification
    Authors:
    A. Weron, J. Janczura, E. Boryczka, T. Sungkaworn, D. Calebiro
    Academic press:
    PHYSICAL REVIEW E (rok: 2019, tom: 99, strony: 42149), Wydawca: AMERICAN PHYSICAL SOCIETY
    Status:
    Published
    DOI:
    10.1103/PhysRevE.99.042149 - link to the publication
  38. Transient anomalous diffusion with Prabhakar-type memory
    Authors:
    A.A.Stanislavsky, A.Weron
    Academic press:
    Journal of Chemical Physics (rok: 2018, tom: 149, strony: 44107), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/1.5042075 - link to the publication

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