Yes, rats can have strokes. Common signs of a stroke include weakness on one side, dragging one or both back legs, and in-coordination. However, other symptoms are possible, and symptoms of a stroke can indicate other conditions.
If your rat's head seems tilted to one side, his eyes are bulging or moving rapidly back and forth, he tips over, or moves in circles, he may have vestibular disease. It is caused by problems either in the ear or the brain stem. Vestibular disease is often mistaken for a stroke. Many times, it can be treated by a vet. There is no veterinary treatment for a stroke. Some rats recover from strokes over a period of several weeks, some die, and some remain disabled.
The symptoms you see in your rat are pretty general. They could indicate a number of different health conditions. He may even have more than one condition at the same time. The only way to be certain of what is wrong is to have your rat examined by a vet who is experienced with rats. Vets who see mostly dogs and cats may not be familiar with health problems in rats. Here is a link to a directory of rat vets:
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