In order to understand how the cool circumgalactic medium influences the evolution of galaxies, it is crucial to characterize its structure and dynamics, which can in turn reveal what are the origin and fate of this gas and what is its link to the central galaxy itself. In this talk, I will present recent results obtained from the combination of different modeling techniques and various types of tomographic data of the cool/cold circumgalactic and interstellar media of galaxies at low and high redshift. I will show how, combining models and data through Bayesian inference, we have been able to refine our picture of the cool material surrounding galaxies and to improve our understanding of the baryon cycle and its gas inflows and outflows.