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 always escape 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 find if I need to anything more for a LIKE or regex search, and also unable to find any assurance that it is enough. (No doubt 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