03/13/2013 at 04:35 PM EDT
was taken to the hospital Monday after being involved in a car accident in Los Angeles.
"Miranda was rear-ended but is totally fine," her rep tells PEOPLE.
The model had MRI scans following the accident, when another car rammed hers on an L.A. freeway, her Australian agent Annie Kelly told media outlets
in her native country.
She was later seen in a neck brace.
Kerr, 29, was thankful her 2-year-old son Flynn
was not with her, Kelly said. Flynn was actually named for Kerr’s high school sweetheart
, who died in a car accident when he was a teenager.
Kelly said of Kerr's condition: "She is in a lot of pain but really, we are just glad that it was not more serious."
Kerr's husband, Orlando Bloom
, was also not present when the wreck occurred.
Reporting by MICHELLE TAN