Although mathematics finds large application in physical sciences, its use in the medical and biological field is less usual. Nevertheless, mathematical models can help in understanding many medical and biological phenomena and they can be a powerful tool in the designing process of many technological devices connected to the above mentioned phenomena. Of course, fundamental pre-requisite for building up a reliable mathematical model is the deep cooperation of different competences such as those of medical doctors, biologists, pharmacists and engineers. This paper deals with four different examples of mathematical models developed by our group and dealing with restenosis, enzyme action on two dimensional DNA brushes, oral delivery of drug in amorphous or nano-crystalline form and tumour cell behaviour.
