Explore a seminar on the complex relationship between structural and functional brain networks using statistical physics and minimalist mesoscopic models. Delve into a stochastic model for resting state brain activity that incorporates homeostatic plasticity mechanisms. Discover how the optimal inferred model for brain activity is poised at a critical state and how distance to criticality can serve as an individual-based marker for evaluating recovery of brain functional activity after stroke. Examine the concept of controllability in structural brain networks as a mechanism for understanding transitions between cognitive states, while considering important caveats and warnings. Learn about the implications of this research for clinical applications such as transcranial magnetic stimulation in stroke recovery.