This 30" freestanding gas oven/range is about 6 years old. It has worked like a champ this whole time. We used it last night to cook some frozen food and this morning when we went to bake breakfast the issue started with the oven.

Here is what I know:
Edit: Model #SF379LEMS (I realized the above model wasn't an actual model #)
Range top still seems to work perfectly - cooked on it this morning.
Oven will not stay lit.
If you broil or bake the gas comes on, (You can hear it) and the clicking happens, the gas catches and everything seems fine, but then it keeps clicking like it doesn't think it is lit, and after a few seconds the gas shuts off. It waits a couple of minutes and tries again.
I took the oven bottom and flame/heat deflector out.
The igniter and burner tube are lined up/parallel.
I tried adjusting the airflow in the burner tube, and other than changing the characterstics of the flame no change in behavior was detected.

Somewhere else someone had a intermittent light problem on this model and they said it was a defective burner tube/igniter causing bad airflow, but this isn't intermittent and the flame looks normal.

What I think:
A safety sensor thinks the gas isn't lit and it shutting it off, but I can't find any mention of this senor.

Any advice would be much appreciated.