CONICET | Buscador de Institutos y Recursos Humanos

What sort of grid cells do we expect to see in rodents who have spent their developmental period inside a large spherical cage? Or, in a dierent experimental paradigm, toddling on a revolving ball, with virtual reality simulating a coherently revolving surround? We consider a simple model of grid ring map formation, based on ring rate adaptation, that we have earlier analyzed when playing out on a at environment. The model predicts that whether experienced on the outside or inside, a spherical environment induces one of a succession of grid maps realized as combinations of spherical harmonics, depending on the relation of the radius to the preferred grid spacing, itself related to the parameters of ring rate adaptation. Numerical simulations concur with analytical predictions.