Maintaining login in 1 browser Only

Is there any method I should try which would only allow one browser to be logged into punbb at a time? For example, logging in at one location would cause the cookie in another browser to expire. The result would be only one user logged in under a single username at one time.

EDIT: this would apply only to one particular usename. Logging into Punbb with the username 'beta' and logging into a second browser with the name 'beta2' would not effect 'beta1'. Logging into the second browser with 'beta' would log out browser 1.

Could this be done by storing the session in the database?