01/31/2012 at 12:00 PM EST
has broken her silence since she and Seal announced their separation
The supermodel, 38, who hadn't Tweeted since Jan. 15, acknowledged those who have helped her so far through the split from her husband, 48, of nearly seven years.
"Hi everyone, I want to thank u for all your support & kind words," Klum Tweeted
on Tuesday. "[It] really means so much. Thanks again...to the best fans in the world! xoHeidi"
Seal, meanwhile, has given several interviews
, and has described how he and Klum broke the news of their split to their children. The singer also recently said on CNN
he believed a reconciliation "may happen."
Klum and Seal decided to part ways "after much soul-searching," they told PEOPLE in a statement. "We have had the deepest respect for one another throughout our relationship and continue tolove each other very much, but we have grown apart."
A holiday trip to Aspen, Colo., in December was said to be the final straw
for the couple.