p582fig16.07 Stripe cells were predicted in (Mhatre, Gorchetchnikov, Grossberg 2012) to convert linear velocity signals into the distances travelled in particular directions.  They are modeled by directionally-sensitive ring attractors, which help to explain their periodic activation as an animal continues to move in a given direction.  See the text for details.<BR>||  Stripe cells.  Stripe cells are predicted to exist in (or no later than) EC layer (III, V/VI).  Linear path integrators: represent distance traveled using linear velocity modulated with head direction signal.  Ring attractor circuit: the activity bump represents distance traveled, stripe cells with same spatial period and directional preference fire with different spatial phases at different ring positions.  Distance is computed directly, it does not require decoding by oscillatory interference.  Periodic stripe cell activation due to ring anatomy: periodic boundary conditions.  Stripe firing fields with multiple orientations, phases and scales.