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Classification of fractional order biomarkers for anomalous diffusion using q-space entropy. | LitMetric

Classification of fractional order biomarkers for anomalous diffusion using q-space entropy.

Crit Rev Biomed Eng

Advanced Magnetic Resonance Imaging and Spectroscopy Facility (AMRIS), McKnight Brain Institute, University of Florida, Gainesville, FL, USA 32610.

Published: January 2015

AI Article Synopsis

  • The study introduces a new model using continuous random walk theory (CTRW) to analyze anomalous diffusion in magnetic resonance imaging (MRI) experiments.
  • It employs information theoretic techniques to assess the heterogeneity and complexity of biological tissues, focusing on how these factors impact diffusion processes.
  • By applying fractional order parameters and spectral entropy, the research differentiates tissue types in a rat brain's white and gray matter, leading to new biomarkers for understanding tissue microstructure and anatomical complexity.

Article Abstract

In this study, we applied continuous random walk theory (CTRW) to develop a new model that characterizes anomalous diffusion in magnetic resonance imaging experiments. Furthermore, we applied a classification scheme based on information theoretic a techniques to characterize the degree of heterogeneity and complexity in biological tissues. From a CTRW approach, the Fourier transform of the generalized solution to the diffusion equation comes in the form of the Mittag-Leffler function. In this solution form, the relative stochastic uncertainty in the diffusion process can be computed with spectral entropy. We interrogated both white and gray matter regions of a fixed rat brain with diffusion - weighted magnetic resonance imaging experiments up to 26,000 s/mm² by independently weighting q and Δ. to investigate the effects on the diffusion phenomena. Our model fractional order parameters, α and β, and entropy measure, H(q, Δ), differentiated between tissue types and extracted differing information within a region of interest based on the type of diffusion experiment performed. By combining fractional order modeling and information theory, new and powerful biomarkers are available to characterize tissue microstructure and provide contextual information about the anatomical complexity.

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Source
http://dx.doi.org/10.1615/critrevbiomedeng.2014011027DOI Listing

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