S. Vaezy et Ji. Clark, CHARACTERIZATION OF THE CELLULAR MICROSTRUCTURE OF OCULAR LENS USING 2D POWER-LAW ANALYSIS, Annals of biomedical engineering, 23(4), 1995, pp. 482-490
Power law analysis provides a quantitative method for characterization
of spatial fluctuations in the cellular microstructure of the ocular
lens. In the power law analysis, Fourier components of the spatial flu
ctuations are computed, and the relationship between the amplitude, A,
and spatial frequency, f, of the components is defined by a power law
function: \A\(2) approximate to (1/f)beta. The exponent of the functi
on, beta, defines the scaling of the amplitude of the Fourier componen
ts as a function of spatial frequency. We performed two-dimensional po
wer law analysis on electron micrographs of lens cells ranging from tr
ansparent to opaque. We identified two values of power law exponent, b
eta, for the spatial fluctuations of all lens cells, one for low and a
second for high-spatial frequencies. In the low-spatial frequency reg
ion, the value of beta was in the range of 0.53 to 1.33, for transpare
nt and opaque cells. In the high-spatial frequency region, the value o
f beta increased from 2.78 for transparent lens cells to 3.60 for opaq
ue lens cells. The power law analysis provides a new method for quanti
tative characterization of the spatial fluctuations in the microstruct
ure of transparent and opaque lens cells.