The Proceedings contain theses of papers presented at the Second International Conference “Modern Problems in Modeling Materials for Mechanical, Medical and Biological Applications” (MPMM&A-2022). The conference focused on the results of work in the following areas: modelling of hard biological tissues; modelling of soft biological tissues; modelling of composite materials; modelling of piezo-active materials; topical problems of computer engineering; didactic basis for the training of modern engineers.