The twenty-second edition of the Biomat International Summer School focuses on the interaction between quantitative model formulation and experimental data analysis in Biology and Medicine. Usually predictive models are formulated in such a way that they depend on a number of parameters, some of which may be unknown. Finding those parameter values that make the constructed model yield predictions as consistent as possible with known observations is a very important aspect of the modeling process. This aspect of the modeling process is closely related to the field of inverse problems, where great advances are currently being made, especially in situations where little data is available or, on the contrary, where a very large amount of data is at hand. We also mention that, during the modeling process, it is important to determine which parameters are the most relevant. This enables, among other things, to reduce the starting model to simpler versions of it with similar predictive power. At the same time, recent developments in the field of AI provide a totally different approach for model building: given a sufficiently large dataset, the equations themselves might be inferred right from the very data, with no need of a priori assumptions. Combining these approaches with the standard ones in modeling is also worthwhile. The current state of affairs in biosciences is one in which it is becoming more and more common to have a good supply of data along with huge computing power, which is changing the way we devise, implement and use predictive models. The aim of this summer school is to gather renowned experts in the aforementioned fields together with students who are competent in quantitative techniques, in order to foster interactions that can promote advancements both in the modeling process and in its applications to biosciences.