SQL injection in a ~ or LIKE statement

Hello,

I'm concerned about whether the usual parameter escaping mechanism is enough in a LIKE or regular expression search.

I run a recent Postgres version and use the Python connector psycopg2 for a web application.  I understand that if I
alwaysescape as in  

  dBres=dBcsr.execute('SELECT docText FROM documents WHERE name=%(storyName)s',{'storyName':storyName})

then I am doing the right thing.  Suppose now that I want to search the text of those documents?  I have been unable to
findif I need to anything more for a LIKE or regex search, and also unable to find any assurance that it is enough.
(Nodoubt I've not looked in the right place; sorry.) 

I plan to add full text searching also; is the escaping mechanism enough there?

Thank you for your help,
Jim