Aperture, symmetry, isotropy, and compactness analysis and their correlation in spaghetti-like nanostructure dynamics

Spaghetti-like nanostructures are interesting due to properties such having a flexible structure, self-assembly, and complex fluids. Moreover, their flexible structure dynamics imply a richness of dynamic properties. In this study, we propose a technique to analyze flexible structure dynamics based on the concepts of aperture, symmetry, isotropy, and compactness. Each parameter has physical meaning. We found some interesting phenomena in the dynamics, density, and correlation among those parameters. Although the dynamics of those parameters exhibit random processes, they have correlation with each other. This analysis also can explain the possible shapes in biological systems such as micelle, vesicle or membrane.