Essentially, I want to know if I'm suffering from imposter syndrome, or if I really am unlikely to be accepted to a top 10 PhD program in bioengineering.
I go to a relatively average public university in the US, majoring in Chemical Engineering (there is no major offered in biomed/bioE) with a 4.0 GPA. I've spent 3 years on the rowing club, and 2 as the president of the club. I'd like to think this shows I'm very dedicated and a hard worker. I will also have my name on two publications (3rd and 4th author) in average journals as well as a presentation at a national conference, all of which are strongly related to bioengineering.
I know I will have one very strong letter of rec from my current research advisor who I have worked with during the academic year and as part of an REU program this summer. I'll also have two other decent letters of rec from a past research advisor last summer and a professor I have gotten to know while taking her classes and doing very well in them.
Assuming I put a great amount of effort into my application, especially my statement of purpose, what are my realistic chances of getting into a top program?