Surface fractal computation and its application to immunofluorescent histochemical studies of calpain and calpastatin in PC12 cells

J Neurosci Methods. 2000 Nov 30;103(2):191-7. doi: 10.1016/s0165-0270(00)00317-4.

Abstract

The purpose of this report is to present a method which can be used to parameterize patterns of immunofluorescent staining in cultured neural cells. The algorithm is based on the observation that the variance in pixel intensity of the image is a power function of the magnitude of the area in immunofluorescently stained PC12 cells. This property is used to derive the fractal dimension (D) of the region of interest (ROI), and corresponds to the complexity of the pixel intensity associated with the ROI, which is analogous to a fractal surface. We show that the measure is useful in characterizing immunofluorescent staining patterns, and apply this measure to study the effects of ethanol exposure on mu-calpain and calpastatin-associated immunoreactivity. Exposure of PC12 cells to ethanol (80 mM)x48 h resulted in alterations in immunofluorescent signal (Control vs ethanol) associated with actin, calpastatin and mu-calpain: 2289+/-166 vs 1709+/-69, P<0.01; 1681+/-38 vs 2224+/-95, P<0.001; 1823+/-39 vs 2841+/-68, P<0.0001 respectively, magnitudes being pixel intensity units on a scale of 0-4095. D-values for the three proteins in the same order were: 2.32+/-0.01 vs 2.31+/-0.03, NS; 2.31+/-0.01 vs 2.32+/-0.01, NS; 2.16+/-0.03 vs 2. 24+/-0.02, P<0.01, with a possible D-value range of 2-3.

Publication types

  • Research Support, U.S. Gov't, P.H.S.

MeSH terms

  • Actins / metabolism
  • Actins / ultrastructure
  • Algorithms
  • Animals
  • Calcium-Binding Proteins / metabolism
  • Calcium-Binding Proteins / ultrastructure*
  • Calpain / metabolism
  • Calpain / ultrastructure*
  • Ethanol / pharmacology
  • Fluorescent Antibody Technique / instrumentation
  • Fluorescent Antibody Technique / methods*
  • Fractals*
  • Image Processing, Computer-Assisted / instrumentation
  • Image Processing, Computer-Assisted / methods
  • Linear Models
  • Microscopy, Fluorescence / instrumentation*
  • Microscopy, Fluorescence / methods*
  • Models, Biological*
  • PC12 Cells / cytology*
  • PC12 Cells / drug effects
  • PC12 Cells / metabolism
  • Rats

Substances

  • Actins
  • Calcium-Binding Proteins
  • Ethanol
  • calpastatin
  • Calpain