To understand differential time activation of nuclear factor kappaB (NF-kappaB) and the temporal features of the downstream pro-inflammatory cytokines' [tumour-necrosis-factor-alpha (TNF-alpha) and IP-10] mRNA levels in myeloid differentiation primary-response protein 88 (MyD88) knockouts (KOs), I developed a computational model of the TLR4 pathway. The result suggests that the late phase expression of NF-kappaB activity observed in MyD88 KOs is possibly due to a number of novel intermediates acting along the MyD88-independent pathway. I also simulate that the TNF-alpha levels will increase at a longer time in MyD88 KOs, not previously mentioned.