Study of Selfsimilarity in Biomolecules

Abstract

Biomolecules have complex shapes and quantification of complex random shapes poses difficulties as they cannot be modeled using Euclidian geometry. We used box counting technique and the concept of fractals and fractal geometry for the purpose of quantification of complexity of shape and structure associated with shape of large biomolecules using their project in two dimensions. For this purpose two colour bitmap of two dimensional projection of wire-frame of biomolecules is used and box counting technique is implemented for quantifying the complexity of shape and structure. It is demonstrated that the concept of fractals and fractal dimension can be used for quantification of complex structures like biomolecules or porous materials. Details are presented and findings discussed. Keywords: Biomolecule, Self-similarity, Scale invariance, Fractal, Fractal Dimension