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Non-linear dynamics theory and malignant melanoma.

V E Orel1, S I Korovin2, J Molnár3

  • 1Biomedical Engineering Department, NTUU "Igor Sikorsky KPI", Kyiv 02000, Ukraine.

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|December 24, 2019
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Summary

Chaos theory quantifies cancer as a complex system. Nonlinear analysis of malignant melanoma images revealed chaotic dynamics, highlighting the need for further research and collaboration.

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Area of Science:

  • Oncology
  • Complexity Science
  • Medical Imaging Analysis

Background:

  • Cancer is increasingly viewed as a complex adaptive system.
  • Chaos theory offers a framework to understand emergent properties in biological systems like cancer.
  • Malignant melanoma presents a complex biological system for analysis.

Purpose of the Study:

  • To apply nonlinear dynamics and chaos theory to analyze the complexity of malignant melanoma.
  • To quantitatively assess chaotic characteristics in digital medical images of melanoma.
  • To explore the hierarchical nature of chaos within the melanoma biological system.

Main Methods:

  • Quantitative assessment of chaos using parameters like contour irregularity and brightness heterogeneity in digital medical images (electron microscopy, histology, cytology).
  • Calculation of statistical measures including kurtosis, entropy, and asymmetry coefficient.
  • Nonlinear analysis applied to the chaotic hierarchy of malignant melanoma.

Main Results:

  • The study employed quantitative chaos assessment parameters on digital images of malignant melanoma.
  • Nonlinear analysis was undertaken to investigate the chaotic hierarchy of melanoma.
  • Specific parameters like irregularity, heterogeneity, kurtosis, entropy, and asymmetry were utilized.

Conclusions:

  • The study initiated a nonlinear analysis of malignant melanoma's chaotic hierarchy.
  • Further extensive research is required to elucidate interrelationships across different biological hierarchy levels.
  • Multidisciplinary collaboration is crucial for advancing understanding and addressing open questions for researchers and oncologists.