Sleep deprivation leads to all kinds of abnormal behavior and even death. You should read about the work of Dr William C. Dement who designed and ran numerous sleep deprivation studies. read more
Sleep deprivation has been linked to a DECREASE in acetylcholine in MICE. If you were to those studies and extrapolate them to humans (quite a jump) you could come to the conclusion that sleep deprivation has SOME correlation to Constipation instead. read more