Have a personal or library account? Click to login
Insights on neural signal analysis with Higuchi fractal dimension Cover

Insights on neural signal analysis with Higuchi fractal dimension

Open Access
|Oct 2024

References

  1. N. J. Kopell, H. J. Gritton, M. A. Whittington, and M. A. Kramer, Beyond the connectome: The dynome, Neuron, vol. 83, pp. 1319–1328, sep 2014.
  2. G. Buzsaki and K. Mizuseki, The log-dynamic brain: how skewed distributions affect network operations, Nat Rev Neurosci, vol. 15, no. 4, pp. 264–278, 2014.
  3. A. Eke, P. Herman, L. Kocsis, and L. R. Kozak, Fractal characterization of complexity in temporal physiological signals, Physiological Measurement, vol. 23, no. 1, 2002.
  4. B. J. He, J. M. Zempel, A. Z. Snyder, and M. E. Raichle, The temporal structures and functional significance of scale-free brain activity, Neuron, vol. 66, no. 3, pp. 353–369, 2010.
  5. A. Di Ieva, The Fractal Geometry of the Brain: An Overview. Springer Series in Computational Neuroscience, 2016.
  6. Y. Ma, W. Shi, C. K. Peng, and A. C. Yang, Nonlinear dynamical analysis of sleep electroencephalography using fractal and entropy approaches, Sleep Medicine Reviews, vol. 37, pp. 85–93, 2018.
  7. M. Schartner, A. Seth, Q. Noirhomme, M. Boly, M. A. Bruno, S. Laureys, and A. Barrett, Complexity of multi-dimensional spontaneous EEG decreases during propofol induced general anaesthesia, PLoS ONE, vol. 10, no. 8, pp. 1–21, 2015.
  8. R. Ferenets, T. Lipping, A. Anier, V. J¨antti, S. Melto, and S. Hovilehto, Comparison of entropy and complexity measures for the assessment of depth of sedation, IEEE Transactions on Biomedical Engineering, vol. 53, no. 6, pp. 1067–1077, 2006.
  9. N. Kannathal, U. R. Acharya, C. M. Lim, and P. K. Sadasivan, Characterization of EEG - A comparative study, Computer Methods and Programs in Biomedicine, vol. 80, no. 1, pp. 17–23, 2005.
  10. M. J. Cook, A. Varsavsky, D. Himes, K. Leyde, S. Berkovic, T. O’Brien, and I. Mareels, The dynamics of the epileptic brain reveal long memory processes, Frontiers in Neurology, vol. 5, no. OCT, pp. 1–8, 2014.
  11. F. Zappasodi, E. Olejarczyk, L. Marzetti, G. Assenza, V. Pizzella, and F. Tecchio, Fractal dimension of EEG activity senses neuronal impairment in acute stroke, PLoS ONE, vol. 9, p. e100199, jun 2014.
  12. F. M. Smits, C. Porcaro, C. Cottone, A. Cancelli, P. M. Rossini, and F. Tecchio, Electroencephalographic fractal dimension in healthy ageing and Alzheimer’s disease, PLoS ONE, vol. 11, p. e0149587, feb 2016.
  13. C. Porcaro, C. Cottone, A. Cancelli, P. M. Rossini, G. Zito, and F. Tecchio, Cortical neurodynamics changes mediate the efficacy of a personalized neuromodulation against multiple sclerosis fatigue, Scientific Reports, vol. 9, dec 2019.
  14. M. Ahmadlou, H. Adeli, and A. Adeli, Fractality analysis of frontal brain in major depressive disorder, International Journal of Psychophysiology, vol. 85, no. 2, pp. 206–211, 2012.
  15. K. Armonaite, M. Bertoli, L. Paulon, E. Gianni, M. Balsi, L. Conti, and F. Tecchio, Neuronal Electrical Ongoing Activity as Cortical Areas Signature: An Insight from MNI Intracerebral Recording Atlas, Cerebral Cortex, nov 2021.
  16. E. Olejarczyk, J. Gotman, and B. Frauscher, Region-specific complexity of the intracranial EEG in the sleeping human brain, Scientific reports, vol. 12, dec 2022.
  17. P. Bak, C. Tang, and K. Wiesenfeld, Self-organized criticallity, Physical Review Letters, vol. 38, no. 1, pp. 364–375, 1988.
  18. K. Falconer, Fractal and Applications Mathematical Foundations Geometry. Wiley, 2003.
  19. M. Rani, R. U. Haq, and D. K. Verma, Variants of Koch curve : A Review, International Journal of Computer Applications® (IJCA), vol. 2, no. d, pp. 20–25, 2012.
  20. K. Dahmen, D. ErtaÅŸ, and Y. Ben-Zion, Gutenberg-Richter and characteristic earthquake behavior in simple mean-field models of heterogeneous faults, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 58, no. 2, pp. 1494–1501, 1998.
  21. D. Legrand, The bodily self: The sensori-motor roots of pre-reflective self-consciousness, in Phenomenology and the Cognitive Sciences, pp. 89–118, Springer, mar 2006.
  22. D. Hughes, M. Paczuski, R. O. Dendy, P. Helander, and K. G. McClements, Solar Flares as Cascades of Reconnecting Magnetic Loops, Physical Review Letters, vol. 90, no. 13, p. 4, 2003.
  23. V. I. Abramenko, Self-Organized Criticality of Solar Magnetism, Geomagnetism and Aeronomy, vol. 60, no. 7, pp. 801–803, 2020.
  24. W. Klonowski, E. Olejarczyk, and R. Stepien, Complexity of EEG-signal in Time Domain - Possible Biomedical Application, in EXPERIMENTAL CHAOS: 6th Experimental Chaos Conference, pp. 155–162, AIP Publishing, feb 2003.
  25. C. Cottone, C. Porcaro, A. Cancelli, E. Olejarczyk, C. Salustri, and F. Tecchio, Neuronal electrical ongoing activity as a signature of cortical areas, Brain structure function, vol. 222, pp. 2115–2126, jul 2017.
  26. F. Tecchio, M. Bertoli, E. Gianni, T. L’Abbate, L. Paulon, and F. Zappasodi, To Be Is To Become. Fractal Neurodynamics of the Body-Brain Control System, Frontiers in Physiology, vol. 11, dec 2020.
  27. K. J. Miller, L. B. Sorensen, J. G. Ojemann, and M. den Nijs, ower-Law Scaling in the Brain Surface Electric Potential, PLoS Computational Biology, pp. Issue 12, Plos Computational Biology, 2009.
  28. B. J. He, Scale-free brain activity: Past, present, and future, 2014.
  29. P. Allegrini, D. Menicucci, R. Bedini, L. Fronzoni, A. Gemignani, P. Grigolini, B. J. West, and P. Paradisi, Spontaneous brain activity as a source of ideal 1/f noise, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 80, no. 6, pp. 1–13, 2009.
  30. S. D. Muthukumaraswamy and D. T. Liley, 1/F Electrophysiological Spectra in Resting and Drug-Induced States Can Be Explained By the Dynamics of Multiple Oscillatory Relaxation Processes, NeuroImage, vol. 179, no. November 2017, pp. 582–595, 2018.
  31. S. Kesić and S. Z. Spasić, Application of Higuchi’s fractal dimension from basic to clinical neurophysiology: A review, Computer Methods and Programs in Biomedicine, vol. 133, no. May 2016, pp. 55–70, 2016.
  32. T. Higuchi, Approach to an irregular time series on the basis of the fractal theory, Physica D: Nonlinear Phenomena, vol. 31, pp. 277–283, jun 1988.
  33. K. Armonaite, L. Conti, and F. Tecchio, Fractal Neurodynamics, vol. 36. Springer Link, 2024.
  34. M. Steriade, D. A. McCormick, and T. J. Sejnowski, Thalamocortical oscillations in the sleeping and aroused brain, Science, vol. 262, no. 5134, pp. 679–685, 1993.
  35. C. G. Horváth, O. Szalárdy, P. P. Ujma, P. Simor, and F. Gombos, Overnight dynamics in scale ‑ free and oscillatory spectral parameters of NREM sleep EEG, Scientific Reports, pp. 1–12, 2022.
  36. B. Frauscher, N. von Ellenrieder, R. Zelmann, C. Rogers, D. K. Nguyen, P. Kahane, F. Dubeau, and J. Gotman, High-Frequency Oscillations in the Normal Human Brain, Annals of Neurology, vol. 84, pp. 374–385, sep 2018.
  37. N. von Ellenrieder, J. Gotman, R. Zelmann, C. Rogers, D. K. Nguyen, P. Kahane, F. Dubeau, and B. Frauscher, How the Human Brain Sleeps: Direct Cortical Recordings of Normal Brain Activity, Annals of Neurology, vol. 87, pp. 289–301, feb 2020.
  38. K. Armonaite, L. Nobili, L. Paulon, M. Balsi, L. Conti, F. Tecchio, K. Armonaite, L. Nobili, L. Paulon, M. Balsi, L. Conti, and F. Tecchio, Local neurodynamics as a signature of cortical areas: new insights from sleep, Cerebral cortex (New York, N.Y. : 1991), jul 2022.
Language: English
Page range: 17 - 27
Submitted on: Jun 28, 2024
|
Accepted on: Aug 26, 2024
|
Published on: Oct 12, 2024
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2024 Karolina Armonaite, Livio Conti, Elzbieta Olejarczyk, Franca Tecchio, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.