Howdy-
So far 5 of the Texas schools have begun sending out interview invitations. Remember this is VERY early in the season, so do not compare yourself to other SDN'ers too closely or feel any discouragement. The only thing I suggest you do is check your school portals once a week or so for messages or updates. If it has been a few weeks since your initial submission and you haven't heard any confirmation from a school, it won't hurt to send a polite email saying, "I have submitted all the components of my application, could you please confirm that my file is complete?"
Don't ask, "so are you going to interview me, or what?" LOL, as much as you really want to.
Also, they do read your app and screen for interview candidates. So if you talked all about high tech research and loving big city life, you are not as likely to get an interview at Texas Tech Lubbock or UTRGV, for example.
Those 5 inviting schools so far are: Texas Tech, UTMB, Dell, TCOM, and UTRGV.
Updated to add first dates Interview Invitations offered for 2018-2019 year:
6/8 Texas Tech Lubbock
6/30 UTMB
7/6 Dell
7/9 TCOM
7/10 UTRGV
7/12 A&M
7/13 Paul Foster El Paso
7/18 UIWSOM
7/19 McGovern
7/22 Long
8/1 UTSW