The meeting is aimed at jointing different experts interested in the mathemathical modeling of hierarchical systems in mechanics. Specifically, mathematical models stand as indispensable instruments for comprehending, forecasting, and crafting hierarchical materials across diverse disciplines. By amalgamating mathematical methods and theoretical insights with mathematical computational simulations and experimental validation, the meeting aims at enhancing the frontiers of biological, bioinspired and metamaterials science of interest in several fields of Mathematical Physics and Applied Sciences such as Medicine, Biology, and Engineering. The meeting will bring together leading scientists with young researchers in the field, to focus on the leading role of new mathematical theories and numerical approaches in this field.Â