Send data from Mac to Arduino using BLE Shield from RedBearLab

Hi all

I just bought the RedBearLab BLE shield for Arduino (http://redbearlab.com/bleshield/) and I managed to make the IPhone app control it and send values to the outs, etc.

This is all very cute but now I think I want to do more than that and run a Processing sketch on my Mac and wirelessly send data to my Arduino (e.g. values of digital outputs that would control an LED strip).

Can this be done using the RedBearLab BLE Shield? Or is this shield just meant to be used through the app, hence not very powerful I guess...?

Thanks a lot for your help

Léo.