TITLE:
On the Self-Similarity in Biological Processes
AUTHORS:
Oliver Szasz, Gyula Peter Szigeti, Andras Szasz
KEYWORDS:
Self-Similar Process, Comparative Function, Avrami Exponent
JOURNAL NAME:
Open Journal of Biophysics,
Vol.7 No.4,
September
8,
2017
ABSTRACT: We show that the processes described by Avrami functions are self-similar. A comparative function characterizes a self-similar process by a certain Avrami exponent. We define the self-similar categories of some well-known biological processes. The method to determine the Avrami exponent by choosing the comparative function is demonstrated on the diffusion model of the growth of nuclei. We generalize the results.