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Tumor cells in human brain show multifractality! A multifractal detrended fluctuation analysis from the MRI images

Author

Listed:
  • Saha, Somsubhra
  • Mitra, Rajdip
  • Uddin, Md. Mohi
  • Akhtaruzzaman, Md.
  • Mohamadi, Hamad Al
  • Chowdhury, Joydeep

Abstract

The multifractal study of tumorous and normal brain MRI images has been reported. The brain MRI images recorded at the axial, colonal, and sagittal planes were used to perform the Multifractal Detrended Fluctuation Analysis (MFDFA) study. The nonlinear graphs of h(q) vs. q and τ(q) vs. q primarily depict that the tumorous MRI images are multifractal, while the normal brain MRI images don't show any sign of multifractal features. The tumorous brain MRI images are multifractal since their singularity spectra exhibit a bell-curve pattern with finite spectral widths (W) in each of the three planes. Interestingly, the MRI images of normal brain does not exhibit such phenomenon. The presence of multifractality in tumor cells as concluded from this manuscript will definitely provide a leeway for other researchers to explore the calculations further in order to identify the benign and malignant tumors, which we believe may exhibit different degrees of multifractalities. For both the tumorous and non-tumorous images, the MF-DFA tool was also used to find their asymmetry indices (B) and correlation coefficients (γ). These investigations lead us to conclude that, multifractality may be used to differentiate between the tumorous and non-tumorous brain MRI images in the Axial, Colonal and Sagittal planes. Furthermore, the findings of this study might encourage other researchers to execute MFDFA analyses at different phases of tumor growth and radiation.

Suggested Citation

  • Saha, Somsubhra & Mitra, Rajdip & Uddin, Md. Mohi & Akhtaruzzaman, Md. & Mohamadi, Hamad Al & Chowdhury, Joydeep, 2025. "Tumor cells in human brain show multifractality! A multifractal detrended fluctuation analysis from the MRI images," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 679(C).
    • Handle: RePEc:eee:phsmap:v:679:y:2025:i:c:s0378437125006351
    DOI: 10.1016/j.physa.2025.130983
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    1. Bacry, E. & Delour, J. & Muzy, J.F., 2001. "Modelling financial time series using multifractal random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 84-92.
    2. Buldyrev, S.V. & Dokholyan, N.V. & Goldberger, A.L. & Havlin, S. & Peng, C.-K. & Stanley, H.E. & Viswanathan, G.M., 1998. "Analysis of DNA sequences using methods of statistical physics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 249(1), pages 430-438.
    3. Ashkenazy, Yosef & Havlin, Shlomo & Ivanov, Plamen Ch. & Peng, Chung-K. & Schulte-Frohlinde, Verena & Stanley, H.Eugene, 2003. "Magnitude and sign scaling in power-law correlated time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 19-41.
    4. Shang, Pengjian & Lu, Yongbo & Kamae, Santi, 2008. "Detecting long-range correlations of traffic time series with multifractal detrended fluctuation analysis," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 82-90.
    5. Yanhui Liu & Parameswaran Gopikrishnan & Pierre Cizeau & Martin Meyer & Chung-Kang Peng & H. Eugene Stanley, 1999. "The statistical properties of the volatility of price fluctuations," Papers cond-mat/9903369, arXiv.org, revised Mar 1999.
    6. Arianos, Sergio & Carbone, Anna, 2007. "Detrending moving average algorithm: A closed-form approximation of the scaling law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 9-15.
    7. Jaros{l}aw Kwapie'n & Pawel Blasiak & Stanis{l}aw Dro.zd.z & Pawe{l} O'swik{e}cimka, 2022. "Genuine multifractality in time series is due to temporal correlations," Papers 2211.00728, arXiv.org, revised Mar 2023.
    8. Ghosh, Dipak & Dutta, Srimonti & Chakraborty, Sayantan, 2014. "Multifractal detrended cross-correlation analysis for epileptic patient in seizure and seizure free status," Chaos, Solitons & Fractals, Elsevier, vol. 67(C), pages 1-10.
    9. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
    10. Blesić, S. & Milošević, S. & Stratimirović, Dj. & Ljubisavljević, M., 1999. "Detrended fluctuation analysis of time series of a firing fusimotor neuron," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 268(3), pages 275-282.
    11. Jones, Charles M & Kaul, Gautam, 1996. "Oil and the Stock Markets," Journal of Finance, American Finance Association, vol. 51(2), pages 463-491, June.
    12. Kantelhardt, Jan W & Koscielny-Bunde, Eva & Rego, Henio H.A & Havlin, Shlomo & Bunde, Armin, 2001. "Detecting long-range correlations with detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 441-454.
    13. Plamen Ch. Ivanov & Luís A. Nunes Amaral & Ary L. Goldberger & Shlomo Havlin & Michael G. Rosenblum & Zbigniew R. Struzik & H. Eugene Stanley, 1999. "Multifractality in human heartbeat dynamics," Nature, Nature, vol. 399(6735), pages 461-465, June.
    14. Wei-Xing Zhou, 2008. "Multifractal detrended cross-correlation analysis for two nonstationary signals," Papers 0803.2773, arXiv.org.
    15. Yuan, Ying & Zhuang, Xin-tian & Jin, Xiu, 2009. "Measuring multifractality of stock price fluctuation using multifractal detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(11), pages 2189-2197.
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