Ok. Here's one explanation. The DPF Has 2 small tubes, one before the core, one after. These tubes run to a sensor that can compare the pressure before and after the core. This is known as the DPF differential pressure sensor. There is always a slight difference since there is a core there, but as the soot builds, the PCM watches this and is one factor in calling for a regeneration, and is how the soot level is calculated. If you remove the core and cause the pressure differential to be zero you will have big problems.
The same sensor is used in some EGR systems to measure EGR flow.