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Measures of complexity for cancellous bone.

W Gowin1, P I Saparin, J Kurths

  • 1Department of Radiology and Nuclear Medicine, University Hospital Benjamin Franklin, Free University Berlin, Germany.

Technology and Health Care : Official Journal of the European Society for Engineering and Medicine
|April 1, 1999
PubMed
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This study introduces a new method to quantify the entire structure of cancellous bone using symbolic dynamics. Findings show bone structure complexity decreases faster than bone mineral density during bone loss.

Area of Science:

  • Biomedical Engineering
  • Medical Imaging
  • Nonlinear Dynamics

Background:

  • Cancellous bone structure quantification is crucial for understanding bone diseases.
  • Existing methods like histomorphometry and X-ray attenuation imaging analyze only parts of the trabecular bone structure.
  • A comprehensive approach is needed to quantify the entire cancellous bone architecture.

Purpose of the Study:

  • To develop and validate a novel technique for quantifying the complete structure of cancellous bone in human lumbar vertebrae.
  • To assess the relationship between bone structure complexity and bone mineral density during bone loss.

Main Methods:

  • Developed a new method based on nonlinear dynamics and symbolic dynamics applied to 2D images.
  • Utilized axial high-resolution computed tomography (HRCT) and quantitative computed tomography (QCT) images of 50 human L3 vertebrae.

Related Experiment Videos

  • Transformed Hounsfield units (HU) into color-encoded and alphabet-encoded symbols to measure structural complexity.

    • Main Results:

    • The new technique quantifies cancellous bone structure as a whole, accounting for all trabecular interrelationships.
    • Cancellous bone structure complexity declines more rapidly than bone mineral density (BMD) during bone loss.
    • An exponential relationship between BMD and cancellous bone architectural composition is suggested.

    Conclusions:

    • Osteopenic bone exhibits lower structural complexity and higher architectural disorder compared to normal bone.
    • Severely osteoporotic bone shows minimal structural complexity, forming an ordered structure.
    • The developed method provides a comprehensive assessment of cancellous bone architecture, offering insights into bone remodeling and disease progression.