When a brain injury victim's hands and feet start to curl in, what is that called?

Contractures: Brain injury can lead to severe muscle spasm and contractures that can be permanent.

Abnormal posturing: When the brain is severely injured and there is dangerous increase in the pressure inside the skull, the person may assume a certain position called posturing. In a certain type of posturing, the arms are flexed with fists together and legs extended with feet turned inward.