title: The effects of relative food item size on optimal tooth cusp sharpness during brittle food item processing.
abstract: Teeth are often assumed to be optimal for their function, which allows researchers to derive dietary signatures from tooth shape. Most tooth shape analyses normalize for tooth size, potentially masking the relationship between relative food item size and tooth shape. Here, we model how relative food item size may affect optimal tooth cusp radius of curvature (RoC) during the fracture of brittle food items using a parametric finite-element (FE) model of a four-cusped molar. Morphospaces were created for four different food item sizes by altering cusp RoCs to determine whether optimal tooth shape changed as food item size changed. The morphospaces were also used to investigate whether variation in efficiency metrics (i.e. stresses, energy and optimality) changed as food item size changed. We found that optimal tooth shape changed as food item size changed, but that all optimal morphologies were similar, with one dull cusp that promoted high stresses in the food item and three cusps that acted to stabilize the food item. There were also positive relationships between food item size and the coefficients of variation for stresses in food item and optimality, and negative relationships between food item size and the coefficients of variation for stresses in the enamel and strain energy absorbed by the food item. These results suggest that relative food item size may play a role in selecting for optimal tooth shape, and the magnitude of these selective forces may change depending on food item size and which efficiency metric is being selected.
authors.affiliation: Medical and Biological Research Group, Department of Mechanical Engineering, University of Hull, Kingston upon Hull HU6 7RX, UK Department of Anthropology, University of Massachusetts, Amherst, MA 01003, USA m.berthaume@hull.ac.uk.
authors.forename: Michael A
authors.initials: MA
authors.lastname: Berthaume
authors.affiliation: Department of Biology, University of Massachusetts, Amherst, MA 01003, USA.
authors.forename: Elizabeth R
authors.initials: ER
authors.lastname: Dumont
authors.affiliation: Department of Anthropology, University of Massachusetts, Amherst, MA 01003, USA.
authors.forename: Laurie R
authors.initials: LR
authors.lastname: Godfrey
authors.affiliation: Department of Mechanical and Industrial Engineering, University of Massachusetts, Amherst, MA 01003, USA.
authors.forename: Ian R
authors.initials: IR
authors.lastname: Grosse
mesh_terms: D000818:Animals; D020342:Finite Element Analysis; D005502:Food; D006801:Humans; D008954:Models, Biological; D013314:Stress, Mechanical; D014070:Tooth / Q000033:anatomy & histology* / Q000502:physiology*; D014732:Vibration
keywords: Taguchi; brittle food item fracture; finite-element analysis; radius of curvature; relative food item size; tooth biomechanics