Does your dog dream?

I have 3 large dogs, a 6 y/o female, rescued American Pitbull Terrier, a 13y/o Male American Bulldog that I foster and a 2y/o male Chocolate Lab rescued at 3 weeks after his mom was run over and bottle fed. All 3 of the dogs dream multiple times a night and during naps. They twitch as if they are chasing their favorite toy or running through a field. Sometimes they wake me up making odd noises like a partial bark under their breath or a soft abnormal growl. When Sadie, the APBT is dreaming her breathing gets very heavy and sometimes she stops breathing. It is almost impossible to wake her up during a dream. It's almost impossible to get her out of bed period!
I've heard that the more a dog dreams the more active or anxious it is? Has anyone ever heard that? I can't find much online about it.

From what I have read, our dogs dream in just about the same way that people dream. They go into a deep REM sleep, and then start dreaming. We often dream about things that happened to us during the day, or even about television programs or movies we watched that night; and our dogs dream about the things they experienced as well. Sometimes, it seems like our dog might be having a nightmare, and then we have to decide whether or not to wake them up out of the dream. I know that I am often really disoriented if I wake up out of a very vivid dream, but if it is a nightmare, then I am glad that I finally woke up !
The experts suggest that it is best not to wake your dog up when he is dreaming, and usually I don't bother them, but if they sounds really agitated and like they are having a nightmare, then I will speak softly to them, and at least try and reassure the dog that everything is still okay.

http://www.mercedsunstar.com/2014/02/14/...reams.html