Respiration is a complex involuntary process in all living beings required for our survival. The preBotzinger complex of neurons within the mammalian brainstem drives the inspiratory phase of the respiratory rhythm via generating a bursting rhythm. It has been noted through experiments that in some of these neurons, termed pacemakers, this bursting rhythm persists even when synaptic coupling in the network is blocked. Further, the activity of these neurons are also constantly modulated by various neuromodulators through altering the intrinsic properties of neurons as well as properties of the network. In particular, Norepinephrine (NE) has been shown, via experiments, to have differential effects on the pacemaker and non-pacemaker preBotC neurons. As part of this work, we model isolated preBotC neurons, as well as a network of them, and attempt to simulate, replicate and explain the effects of NE observed via experiments.