M. Bigerelle et A. Iost, A new method to calculate the fractal dimension of surfaces: Application to human cell proliferation, COMPUT MATH, 42(1-2), 2001, pp. 241-253
This paper presents a new method of calculating the fractal dimension of su
rfaces as well as a correction method which improved the results. To test i
ts efficiency, the algorithms have been applied to stochastic surfaces of m
athematical functions with known fractal dimensions and compared with the o
scillation and the structure method. Better results have been found. This m
ethod, called ANAM, has been used to characterize the roughness of orthopae
dic metallic substrates (Ti6A14V alloy) in relation with human osteoblast a
dhesion. It has then been shown that the fractal dimension parameters corre
lated statistically with proliferation of cells, corresponding to a lower a
dhesion on less organized surfaces. The significant correlation observed be
tween fractal dimension parameters and cell adhesion therefore adds a new c
oncept to substratum roughness influence on cell behaviour. (C) 2001 Elsevi
er Science Ltd. All rights reserved.