Hell Driver (2010, Japan)

Partial Plot Outline from Twitchfilm.com:

The story follows young Kika – a teenaged girl who has been living on the run with her father, the pair of them trying to stay out of the path of Kika’s mother (Eihi Shiina) and uncle, a deadly duo of psychotic cannibals. But mom catches up, eats dad’s legs, and aims to kill Kika – a killing interrupted by a meteor tearing through mom’s chest at the critical moment. Mom takes Kika’s heart as a replacement for her own, Kika flails about on the ground, and then a cloud of bizarre dust sprays from mom’s mouth, triggering the zombie outbreak, segregating the nation, and eventually leading to Kika being discovered by a scientist who implants in her an artificial heart that also powers a chainsaw-katana and sends her off to kill the undead better than they were killed the first time, take down mom, and end the zombie threat. Oh, and did I mention that the zombies also sprout a weird horn from the middle of their foreheads that a) allows mom to control them psychically from a distance while also b) being highly coveted by drug dealers for its psychotropic properties?