The inhibitory cascade is a model in evolutionary developmental biology concerning the proportions of mammalian mandibular molar teeth.
Predictions The mathematical expression used to model the inhibitory cascade is 1 + [(a - i)/i](x - 1), where a is the strength of activating developmental factors, i is the strength of inhibitory developmental factors, and x is the number of the lower molar in the tooth row (i.e. M1, M2, etc.). The M2 is always predicted to be exactly one third of the total mandibular molar area in a mammal with the typical eutherian dental formula containing three mandibular molars, with M1 = i/3a and M3 = (2a - i)/3a.
Evidence An overview of mammal species across various orders found the large majority of them to occupy either a morphospace where M1 > M2 > M3 or one where M1 < M2 < M3, concordant with the inhibitory cascade model. Analysis of a broad range of Mesozoic and early Cenozoic mammaliaform taxa found that about two-thirds of them had molar ratios consistent with the inhibitory cascade's predictions, suggesting a deep evolutionary origin within Mammaliaformes for this developmental mechanism.
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