What are my chances of getting into a good Masters Program in Bioengineering?

<p>I am currently a 3rd year at UCLA in Bio-Engineering with a cumulative gpa of 3.3 (as of the end of my 1st quarter of my 3rd year). I am interested in going to masters in BioEng. and will apply starting next year (I have 3 - 4 quarters remaining before I apply).</p>

<p>Some of the schools I am considering:
-Univ. of Michigan, Ann Arbor
-UCSD
-Duke
-UCLA
-Univ. of Washington in St. Louis
-Washing University in Seatle
-Rice
-UC Davis/ UC Irvine
-Case Western</p>

<p>Other details:
I have not yet taken my GRE's yet (will do soon).
I have been doing research since the start of my 2nd year and will continue to do so until I graduate.
I have got an authorship on a recently published paper (2nd/3rd author).</p>

<p>I am pretty sure I will have good teacher recs (from my professors and my post doc fellow who I work under at research).</p>

<p>What colleges from the above, if I were to apply right now (assuming that I got a mediocre GRE score) would I get accepted into their Master's program?</p>

<p>To better my chances, how much do I need to increase my GPA to, REALISTICALLY?</p>

<p>Thanks.</p>