It's a done deal - Biden is running for another term:
Biden spokesman David Wade said Sunday that Biden will continue his Senate re-election campaign. Biden is expected to defeat Republican challenger Christine O'Donnell in November.
Assuming the Obama-Biden ticket is successful in November (let's hope), Biden will resign his Senate seat after being sworn in for another term in early January. The task will then fall to outgoing Democratic Gov. Ruth Ann Minner to appoint a successor for Biden. Possible contenders include Delaware AG Beau Biden and the loser of the state's gubernatorial primary between Lt. Gov. John Carney and state Treasurer Jack Markell. However, the younger Biden's senatorial aspirations (assuming he has any) may be complicated by his deployment to Iraq in October.