Nanoscience and Nanotechnology

Mathematical Modelling of Nanotechnology

The mathematical analysis is a compelling goal for any new field. We will consider three themes in bridging time and length scales, in fast algorithms and in optimization and predictability which indicate some of the directions that increasing role might take. The new notion of ‘design maps’ for nanovector could provide guidance for the development of optimized injectable nanocarriers through mathematical modeling.  Its solutions contain significant technical challenges. Mathematics and simulation would be enormously stimulated by the challenges of nanoscale modelling In a complementary way. While some areas of mathematics are repeatedly developed such as fast multipole and multigrid algorithms are ready to apply in nanoscale modelling.