How to deploy ASP.NET MVC 4 application using localDB to local IIS on Windows 7?

Question

When I try to run my ASP.NET MVC 4 application using Local IIS on Windows 7 with Visual Studio 2013. I run into the following error when the application tries to connect to localDB\v11.0

Server Error in '/' Application.

A network-related or instance-specific error occurred while establishing a connection to SQL Server. The server was not found or was not accessible. Verify that the instance name is correct and that SQL Server is configured to allow remote connections. (provider: SQL Network Interfaces, error: 50 - Local Database Runtime error occurred. Cannot create an automatic instance. See the Windows Application event log for error details. )

The 2 event logs are

Unexpected error occurred while trying to access the LocalDB instance registry configuration. See the Windows Application event log for error details.

and

Cannot get a local application data path. Most probably a user profile is not loaded. If LocalDB is executed under IIS, make sure that profile loading is enabled for the current user.

Most solutions I found online references this post: http://blogs.msdn.com/b/sqlexpress/archive/2011/12/09/using-localdb-with-full-iis-part-1-user-profile.aspx

The only difference I see between the described situation and my situation is that the described error code is 0 whereas my error code is 50. However, the proposed solution does not work for me.

I cannot get past this error even if I set modify setProfileEnvironment to true and I've spent hours of time playing around with different processModel parameters and application pools.