BSOD - ntkrnlmp.exe

Yes, my data is backed-up (the important stuff, anyway).

A notification informed me that the screen might freeze for a few seconds during the BIOS update and asked me if I was sure about proceeding. I clicked yes, the window closed, and about a second later it blue-screened, collected a dump file and restarted.

BIOS version F1 (the original) is showing as current.

Tried updating the BIOS a second time this morning. It blue-screened again, more or less at the same place (actually started reading the file this time). The system had remained perfectly stable for 24 hours prior to attempting the update.