Semigroups for dynamical processes on metric graphsKramar Fijavž, Marjeta (Avtor) Puchalska, Aleksandra (Avtor) analysisdifferential equationsbiomathematicsoperator semigroupsnetworkstransport equationdiffusion equationgenetic mutation modelsynaptic transmission modelWe present the operator semigroups approach to the first- and second-order dynamical systems taking place on metric graphs. We briefly survey the existing results and focus on the well-posedness of the problems with standard vertex conditions. Finally, we show two applications to biological models. This article is part of the theme issue "Semigroup applications everywhere".20202021-03-04 14:31:48Članek v reviji125093sl