<human>: So I KNOW the onus of a friendship is never on one person, and it takes two to tango, BUT...

I'm a senior in college who loves her friends. Freshman year found me making friends with EVERYONE, and I had a blast. Sophomore and Junior years? Went off the deep-end (BDD, Anorexia, Depression, etc.), didn't spend much time with people and got really involved in my extracurriculars/career. 

I've put in a lot of work and am now MUCH healthier; I want to get my life back, and I want my friends to be a part of my life. I've considered my close friends to be my close friends throughout all of my ish, but I feel like the fact that I haven't spent much time with them and have had other foci (some of them know what was up, but...) means that my friends don't necessarily feel the same. 

How, without groveling (I would, but I also think I should want to be respected), can you let people know that you want to be better friends, and that you feel like you've grown apart and want to fix that? I've tried just saying that, but people don't take me seriously, and it really hurts.

Provide a brief overview of the text.
<bot>: What can I do to prove to people that I want to be better friends? How can I win back friends after a bit of time spent 'not as close?'