PSM and eDRX core network config

We all know that PSM and eDRX plays an important role in extending the battery life by reducing battery consumption. The PSM and eDRX timers are configured on the UE, which are then sent to MME and MME either accepts these timing values or updates it according to its configuration.
Question: What changes are required on the HSS or any other core network component to support PSM/eDRX functionality?

Thank you for your response.

In Core Network both MME and S-GW should be activated for this feature.
But about eNodeB i’m not sure.