Can organic insecticide kill cockroaches

Organophosphates (OP) mimic acetylcholine (ACh, a neurotransmitter) and reacts irreversibly with the enzyme acetylcholinesterase (AChE). AChE is needed to breakdown ACh after it has been used to send messages across the synapse of a nerve. Without breakdown of ACh, the muscles will be constantly stimulated resulting in paralysis and death