Before revision:  Applying our Lagrangian analysis to the glymphatic system , we successfully distinguish between flow patterns under two different anesthetics . We should also note that the Fisher-Rao regularization makes direct contact with some of the very nice recent work on entropic regularization for the computation of optimal mass transport as well as the Schr\"odinger bridge theory. The latter provides a stochastic aspect to the approach described in the present work .
After revision:  Applying our Lagrangian analysis to the glymphatic system , we successfully distinguish between flow patterns under two different anesthetics , providing deeper insights into altered states of waste drainage .