Probing multi-scale self-similarity of tissue structures using light scattering spectroscopy: prospects in pre-cancer detection

2013 ◽  
Author(s):  
Subhasri Chatterjee ◽  
Nandan K. Das ◽  
Satish Kumar ◽  
Sonali Mohapatra ◽  
Asima Pradhan ◽  
...  
Keyword(s):  
Light Scattering ◽  
Cancer Detection ◽  
Self Similarity ◽  
Multi Scale ◽  
Light Scattering Spectroscopy ◽  
Tissue Structures

scholarly journals Differing self-similarity in light scattering spectra: a potential tool for pre-cancer detection

2011 ◽  
Vol 19 (20) ◽  
pp. 19717 ◽  
Author(s):  
Sayantan Ghosh ◽  
Jalpa Soni ◽  
Harsh Purwar ◽  
Jaidip Jagtap ◽  
Asima Pradhan ◽  
...  
Keyword(s):  
Light Scattering ◽  
Cancer Detection ◽  
Self Similarity ◽  
Scattering Spectra ◽  
Potential Tool

scholarly journals Extended power-law scaling of air permeabilities measured on a block of tuff

2012 ◽  
Vol 16 (1) ◽  
pp. 29-42 ◽  
Author(s):  
M. Siena ◽  
A. Guadagnini ◽  
M. Riva ◽  
S. P. Neuman
Keyword(s):  
Power Law ◽  
Structure Functions ◽  
Self Similarity ◽  
Scaling Exponents ◽  
Multi Scale ◽  
Sample Structure ◽  
Heavy Tailed ◽  
Non Gaussian ◽  
Nonlinear Fashion ◽  
Extended Power

Abstract. We use three methods to identify power-law scaling of multi-scale log air permeability data collected by Tidwell and Wilson on the faces of a laboratory-scale block of Topopah Spring tuff: method of moments (M), Extended Self-Similarity (ESS) and a generalized version thereof (G-ESS). All three methods focus on q-th-order sample structure functions of absolute increments. Most such functions exhibit power-law scaling at best over a limited midrange of experimental separation scales, or lags, which are sometimes difficult to identify unambiguously by means of M. ESS and G-ESS extend this range in a way that renders power-law scaling easier to characterize. Our analysis confirms the superiority of ESS and G-ESS over M in identifying the scaling exponents, ξ(q), of corresponding structure functions of orders q, suggesting further that ESS is more reliable than G-ESS. The exponents vary in a nonlinear fashion with q as is typical of real or apparent multifractals. Our estimates of the Hurst scaling coefficient increase with support scale, implying a reduction in roughness (anti-persistence) of the log permeability field with measurement volume. The finding by Tidwell and Wilson that log permeabilities associated with all tip sizes can be characterized by stationary variogram models, coupled with our findings that log permeability increments associated with the smallest tip size are approximately Gaussian and those associated with all tip sizes scale show nonlinear variations in ξ(q) with q, are consistent with a view of these data as a sample from a truncated version (tfBm) of self-affine fractional Brownian motion (fBm). Since in theory the scaling exponents, ξ(q), of tfBm vary linearly with q we conclude that nonlinear scaling in our case is not an indication of multifractality but an artifact of sampling from tfBm. This allows us to explain theoretically how power-law scaling of our data, as well as of non-Gaussian heavy-tailed signals subordinated to tfBm, are extended by ESS. It further allows us to identify the functional form and estimate all parameters of the corresponding tfBm based on sample structure functions of first and second orders.

Removing resonance fluorescence from light scattering spectroscopy

2021 ◽  
pp. 139244
Author(s):  
Hongyu Zhou ◽  
Minglian Li ◽  
Na Diao ◽  
Shaogui Wu ◽  
Jiayang Wang ◽  
...  
Keyword(s):  
Light Scattering ◽  
Resonance Fluorescence ◽  
Light Scattering Spectroscopy
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