School of Mechanical Engineering, Tel-Aviv University, Israel.
Acta Biomater. 2018 Jul 15;75:279-286. doi: 10.1016/j.actbio.2018.06.001. Epub 2018 Jun 3.
Fossil teeth are a primary source for inferring species development via evolutionary adaptation due to their linkage to feeding ecology and well perseverance. The main working tools in such studies are bite force analysis derived from jaw musculature and lever arms and morphogenetic based on enamel thickness and occlusal surface area. Despite progress made, quantitative correlation between predictions and behavior is still lacking. We studied histological sections in varieties of extracted premolar and molar human teeth. Sections corresponding to planes intersecting tips of primary cusps as well as more random planes were considered. The results revealed a unique, conclusive link between cuspal enamel thickness d and dentin horn angle φ, a developmental parameter which contribution to tooth functioning has been overlooked. Naturally led by design principles of corbel arches, we examined the bending stress at the horn apex due to axial cuspal loading. The results show that this d vs. φ relationship produces a constant force causing cusp fracture P, making the latter a viable measure of tooth resilience. A preliminary study on published sections of extinct hominin teeth showed that their d vs. φ behavior is consistent with modern humans albeit with varying P. Scaling BF with P enables direct estimate of bite force from measures of d and φ in fossil teeth, achievable nondestructively from micro-computed tomography scans.
The correspondence between cuspal enamel thickness and dentin horn angle in the postcanine row is a natural design here revealed for the first time. This correspondence yields constant force causing fracture at the horn apex, P, making the latter a viable measure of tooth resilience. Scaling bite force (BF) with P enables direct estimate of BF. The proposed mechanistic link between bite force and anatomical parameters d and φ, expressed in a simple analytic form, offers direct, development-based expectation for examining evolutionary processes in hominins.
由于化石牙齿与进食生态和良好的持久性有关,因此它们是推断物种进化适应的主要来源。此类研究的主要工作工具是从颌肌肉和杠杆臂得出的咬合力分析以及基于牙釉质厚度和咬合面面积的形态发生。尽管取得了进展,但预测与行为之间的定量相关性仍然缺乏。我们研究了从各种提取的前磨牙和磨牙中提取的人类牙齿的组织学切片。考虑了与初级小尖相交的平面的切片以及更随机的平面的切片。结果显示,牙尖釉质厚度 d 和牙本质角φ之间存在独特而明确的联系,而牙本质角φ是牙齿功能的一个发育参数,以前被忽视了。受拱券拱设计原理的自然引导,我们检查了由于轴向牙尖加载而在角顶处产生的弯曲应力。结果表明,这种 d 与 φ 的关系产生了一个恒定的力,导致牙尖断裂 P,从而使后者成为牙齿弹性的可行度量。对已发表的灭绝原始人类牙齿的切片进行的初步研究表明,尽管 P 有所不同,但它们的 d 与 φ 行为与现代人一致。通过对微计算机断层扫描进行非破坏性扫描,从 d 和 φ 的测量值推断化石牙齿的咬合力,从而实现 BF 的缩放。通过 P 对 BF 进行缩放,可以直接估计 BF。提出的牙合力与解剖学参数 d 和 φ 之间的机械联系,以简单的解析形式表示,为检查原始人类的进化过程提供了直接的、基于发育的预期。