Great question. My reply won't help, but would be interested in the answer when you get one I tried to figure it out when buying one, but never asked, and couldn't find any info telling me what the difference was. I ended up with the T01 about a year and a half ago and it's been bulletproof.
I've been in the market for a dosing pump.
I haven't seen much written on the difference between the two.
From what I have read
1) the TM11 isn't a replacement for the T01.
2) the TM11 has a new "stylish" case
3) a "tighter" build quality
4) higher quality tubing
And
5) built in alarm for motor or unit errors