SOME MATHEMATICAL MODELS ARISING IN NANO- AND BIO-TECHNOLOGY.

The article investigates the three mechanical models arising from nanoscale and biological systems and the utilization of the models for investigating molecular stretching in the connective tissue extracellular matriax in Australia. It states that the models include dynamics of various nanostructures, axial buckling of carbon nanotubes and nanopeapods and worm-like chain model for stretched semi-flexible molecules. It emphasizes that circular orbiting frequencies of the proposed nanosystems are in the gigahertz range.