My Abe installation stopped updating after block 188421. (2012-07-10 11:26:50) The problem appears to be that Abe only looks at blk0001.dat by default and does not look at blk0002.dat, which my Bitcoin client created after block 188421.

I fixed the issue by adding the following row to my datadir table and then running Abe to update the database with the new block file's data.
[row removed]

However, this is not a permanent fix since Abe will stop updating once the client makes a blk0003.dat and so on until I manually add the row for each block file.

UPDATE: This was a permissions issue on blk0002.dat. Adding a row to datadir for each block file is not necessary.