A regime/regimen (and compositions therefor) for inducing and/or stimulating the growth of keratinous fibers and/or slowing the loss and/or increasing the density thereof, notably human hair and/or eyelashes, entails administering to a mammalian subject in need of such treatment, for such period of time as required to elicit the desired effect, a thus effective amount of at least one 2-alkylideneaminooxyacetamide compound having the formula (I): ##STR00001##