Ability to allow editing of certain fields to specific users

I'm using Jira for test case management. I've created custom fields such as Test Run Count, Test Fail Count and Test Pass Count so that I can report on how many times a certain test was run/failed/passed against a release.

I've added those fields to my default screen so that they can be visualized. However, chances are that thanks to Inline Editing feature of fields, one can mistakenly edit those fields and can ruin my statistics.

Although this can be visualized through Issue History, it'll be cumbersome to revert to older values.

What I'd like to have is restrict editing of this fields to specific users, e.g. admins, team-leaders, etc. I've looked around the Permissions thing to see if I'm able to apply such a configuration but with no luck.