Are inflammasomes and caspase-1 related?

Yes, inflammasomes and caspase-1 are related.

The formation of inflammasomes is a key event in the innate immune response to certain inflammatory stimuli. Inflammasomes are multimeric protein complexes that regulate the activation of caspase-1, which is the central protease in this response. Caspase-1 subsequently leads to the maturation of the proinflammatory cytokines and to pyroptosis, a form of cell death that is induced by bacterial pathogens.