  The flow of cerebrospinal fluid through the perivascular spaces of the brain
is believed to play a crucial role in eliminating toxic waste proteins. While
the driving forces of this flow have been enigmatic, experiments have shown
that arterial wall motion is central. In this work, we present a network model
for simulating pulsatile fluid flow in perivascular networks. We establish the
well-posedness of this model in the primal and dual mixed variational settings,
and show how it can be discretized using mixed finite elements. Further, we
utilize this model to investigate fundamental questions concerning the physical
mechanisms governing perivascular fluid flow. Notably, our findings reveal that
arterial pulsations can induce directional flow in branching perivascular
networks.
