These are all classified as neurotoxins used to paralyze muscles.
Botulinum toxin (BTX) is a neurotoxic protein produced by the bacterium Clostridium botulinum and related species. Medically it prevents the release of the neurotransmitter acetylcholine from axon endings in the neuron at the neuromuscular junction in muscles and thus causes paralysis of the muscle. There are eight types of botulinum toxin, named type A–H. Botulinum toxin types A and B are used in medicine to treat various muscle spasms and diseases characterized by overactive muscles.
The only areas that botox in the cosmetic industry is FDA approved is the glabella lines or “11”, forehead creases and crowsfeet.