To explore the possible relationship between parameter sensitivity of the TNF-α signaling network model and the cancer-related mutations, we first select a subset of the parameters which are associated with the core proteins in the network, such as IKK degradation rate (ka_40), NFκB-IκBα complex degradation rate (ka_41), caspase3 activation rate (ka_79) and caspase8 activation rate (ka_80). The gene discussed is NFKBIA; the disease is cancer.