The population of dendritic cells, DC, originates from a constant source of immature D0 activated and up-regulated by the external stimulus, S and the damage signal from TD . This process is inhibited by I10. With a decay rate coefficient, dDC, equation for the DC dynamics is given by dDCdt=k5S11+(I10K8)2+k6TD11+(I10K9)2−dDCDC,(3) where k5=k5'D0, k6=k6'D0.