Table 2 The effect of bursting in the input reactions on the eight chemical systems shown in Table I. The sign of determines whether the model exhibits Case III or Case II behaviour (see Fig. 1), i.e., the necessary conditions for burstiness to promote or destroy noise-induced oscillations respectively (fourth and sixth columns of the table). Determining whether input bursting can in fact promote or destroy oscillations requires the full condition that θ₁ is large enough; the columns ‘BIO Observed’ and ‘BDO Observed’ are the results of our numerical investigation to this end (see text for details). The upper four circuits feature input burstiness in only one species, the lower four feature input burstiness in both species. Note that a_i are positive constants

From: Effects of bursty protein production on the noisy oscillatory properties of downstream pathways