Acoustics

Acoustics

The 3D Spatial Autocorrelation of the Branching Fractal Vasculature

Yazarlar: Kevin J. Parker, Jonathan J. Carroll-Nellenback and Ronald W. Wood

Cilt 1 , Sayı 2 , 2019 , Sayfalar 369-381

Konular:-

DOI:10.3390/acoustics1020020

Anahtar Kelimeler:Scattering,Backscatter,Ultrasound,Tissue,Medical ultrasound,Fractal vasculature,Tissue characterization

Özet: The fractal branching vasculature within soft tissues and the mathematical properties of the branching system influence a wide range of important phenomena from blood velocity to ultrasound backscatter. Among the mathematical descriptors of branching networks, the spatial autocorrelation function plays an important role in statistical measures of the tissue and of wave propagation through the tissue. However, there are open questions about analytic models of the 3D autocorrelation function for the branching vasculature and few experimental validations for soft vascularized tissue. To address this, high resolution computed tomography scans of a highly vascularized placenta perfused with radiopaque contrast through the umbilical artery were examined. The spatial autocorrelation function was found to be consistent with a power law, which then, in theory, predicts the specific power law behavior of other related functions, including the backscatter of ultrasound.


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BibTex
KOPYALA
@article{2019, title={The 3D Spatial Autocorrelation of the Branching Fractal Vasculature}, volume={1}, number={369–381}, publisher={Acoustics}, author={Kevin J. Parker, Jonathan J. Carroll-Nellenback and Ronald W. Wood}, year={2019} }
APA
KOPYALA
Kevin J. Parker, Jonathan J. Carroll-Nellenback and Ronald W. Wood. (2019). The 3D Spatial Autocorrelation of the Branching Fractal Vasculature (Vol. 1). Vol. 1. Acoustics.
MLA
KOPYALA
Kevin J. Parker, Jonathan J. Carroll-Nellenback and Ronald W. Wood. The 3D Spatial Autocorrelation of the Branching Fractal Vasculature. no. 369–381, Acoustics, 2019.