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Computational Fractal-Based Neurosurgery.

Antonio Di Ieva1,2,3,4, Jennilee M Davidson5, Carlo Russo6

  • 1Computational NeuroSurgery (CNS) Lab, Macquarie Medical School, Faculty of Medicine, Human and Health Sciences, Macquarie University, Sydney, NSW, Australia. Antonio.diieva@mq.edu.au.

Advances in Experimental Medicine and Biology
|November 10, 2024
PubMed
Summary
This summary is machine-generated.

Fractal geometry quantifies natural complexity, offering new ways to analyze biomedical images and time series. In neurosurgery, fractal parameters provide novel markers for diagnosing and understanding brain tumors and vascular malformations.

Keywords:
FractalFractal analysisFractal dimensionHurst indexLacunarityMultifractalNeurologyNeuroscienceNeurosurgeryTime series

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Area of Science:

  • Mathematics
  • Biomedical Sciences
  • Neurosurgery

Background:

  • Fractal geometry is a mathematical framework for quantifying the complexity of natural objects.
  • Its principles have broad applications across diverse scientific disciplines.
  • Fractal parameters offer novel morphometric tools for biomedical image and time-series analysis.

Purpose of the Study:

  • To explore the application of fractal geometry in biomedical sciences, particularly neurosurgery.
  • To highlight the utility of fractal parameters in characterizing complex biological structures.
  • To introduce fractal dimension and related metrics as potential diagnostic and prognostic markers.

Main Methods:

  • Application of fractal geometry principles to quantify geometrical complexity.
  • Computation of fractal parameters, including fractal dimension.
  • Analysis of biomedical images and time series data.

Main Results:

  • Fractal parameters provide robust morphometric quantifiers for biological structures.
  • These parameters effectively characterize the brain from neuronal to cortical levels.
  • Novel prognostic, diagnostic, and therapeutic markers are identified for neurosurgical diseases.

Conclusions:

  • Fractal geometry offers valuable tools for characterizing complex biological systems.
  • Fractal analysis enhances the understanding of brain structure and function.
  • Fractal parameters show promise as key markers for neurosurgical conditions like brain tumors and cerebrovascular malformations.