Van Dijk was dismissed by referee Craig Thomson after bringing down Peter Pawlett on the edge of the box during the 2-1 loss at Pittodrie on Tuesday.
It was one of several decisions made by the official which left Neil Lennon unhappy and the Celtic manager confirmed that they have appealed against the Dutchman's dismissal.
"We are appealing because we think it is worthy of an appeal," said Lennon.
"My mind hasn't changed. I think Pawlett was going wider and I think Efe (Ambrose) could have got across to cover.
"We will see what the outcome will be.
"You just never know with these things. It is not like we are wasting anybody's time on it, we feel we have a decent case."