Final answer:
NF-κB regulates the transcription of genes for proinflammatory factors in microglia when stimulated by B. burgdorferi. It dissociates from IκB, enters the nucleus, and initiates the transcription process, resulting in the release of these inflammatory mediators (option 4).
Step-by-step explanation:
The role of NF-κB in the release of proinflammatory factors from microglia stimulated by B. burgdorferi BmpA (rBmpA) is to regulate the gene transcription of inflammatory factors. When NF-κB is activated, typically through phosphorylation of its inhibitor IκB, it dissociates from the complex, translocates into the nucleus, and stimulates the transcription of genes encoding proinflammatory cytokines and other immune response mediators. This increased gene transcription leads to the production and release of various proinflammatory factors by the microglia, which play a role in the innate immune response against pathogens like B. burgdorferi.
Hence, the answer is option 4.