Assessing mechanical function of the zygomatic region in macaques: validation and sensitivity testing of finite element models

Crucial to the interpretation of the results of any finite element analysis of a skeletal system is a test of the validity of the results and an assessment of the sensitivity of the model parameters. We have therefore developed finite element models of two crania of Macaca fascicularis and investigated their sensitivity to variations in bone material properties, the zygomatico‐temporal suture and the loading regimen applied to the zygomatic arch. Maximum principal strains were validated against data derived from ex vivo strain gauge experiments using non‐physiological loads applied to the macaque zygomatic arch. Elastic properties of the zygomatic arch bone and the zygomatico‐temporal suture obtained by nanoindentation resulted in a high degree of congruence between experimental and simulated strains. The findings also indicated that the presence of a zygomatico‐temporal suture in the model produced strains more similar to experimental values than a completely separated or fused arch. Strains were distinctly higher when the load was applied through the modelled superficial masseter compared with loading an array of nodes on the arch. This study demonstrates the importance of the accurate selection of the material properties involved in predicting strains in a finite element model. Furthermore, our findings strongly highlight the influence of the presence of craniofacial sutures on strains experienced in the face. This has implications when investigating craniofacial growth and masticatory function but should generally be taken into account in functional analyses of the craniofacial system of both extant and extinct species.

[1]  K. Rafferty,et al.  Three-dimensional loading and growth of the zygomatic arch. , 2000, The Journal of experimental biology.

[2]  William Irvin Sellers,et al.  Using sensitivity analysis to validate the predictions of a biomechanical model of bite forces. , 2004, Annals of anatomy = Anatomischer Anzeiger : official organ of the Anatomische Gesellschaft.

[3]  Robert A. Draughn,et al.  Factors Affecting Mechanical Properties of Bone , 1999 .

[4]  Macho,et al.  ERRATUM: effects of loading on the biomechanical behavior of molars of homo, pan, and pongo. Am J phys anthropol 109:211-227 , 1999, American journal of physical anthropology.

[5]  D. Beighton,et al.  Proteolytic activities in the supragingival plaque of monkeys (Macaca fascicularis). , 1987, Archives of oral biology.

[6]  D. Pashley,et al.  The load-displacement characteristics of neonatal rat cranial sutures. , 2000, The Cleft palate-craniofacial journal : official publication of the American Cleft Palate-Craniofacial Association.

[7]  S. Herring Sutures--a tool in functional cranial analysis. , 1972, Acta anatomica.

[8]  C. Jaslow Mechanical properties of cranial sutures. , 1990, Journal of biomechanics.

[9]  I. Spears,et al.  Australopithecus anamensis: a finite-element approach to studying the functional adaptations of extinct hominins. , 2005, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[10]  S. Herring,et al.  Patterns of bone strain in the zygomatic arch , 1996, The Anatomical record.

[11]  J. Mao,et al.  Biomechanics of craniofacial sutures: orthopedic implications. , 2009, The Angle orthodontist.

[12]  J. Mao,et al.  Nanomechanical Properties of Facial Sutures and Sutural Mineralization Front , 2004, Journal of dental research.

[13]  P Zioupos,et al.  Effect of formaldehyde fixation on some mechanical properties of bovine bone. , 1995, Biomaterials.

[14]  W L Hylander,et al.  Elastic properties and masticatory bone stress in the macaque mandible. , 2000, American journal of physical anthropology.

[15]  R. Rice,et al.  Craniofacial growth in olive baboons (Papio cynocephalus anubis): browridge formation. , 1979, Growth.

[16]  B. Richmond,et al.  Modeling masticatory muscle force in finite element analysis: sensitivity analysis using principal coordinates analysis. , 2005, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[17]  David S Strait,et al.  Finite element analysis in functional morphology. , 2005, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[18]  Iain R. Spears,et al.  The mechanical significance of the occlusal geometry of great ape molars in food breakdown , 1996 .

[19]  Emily J Rayfield,et al.  Using finite-element analysis to investigate suture morphology: a case study using large carnivorous dinosaurs. , 2005, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[20]  David S Strait,et al.  Modeling elastic properties in finite-element analysis: how much precision is needed to produce an accurate model? , 2005, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[21]  E. Tanaka,et al.  Changes in the biomechanical properties of the rat interparietal suture incident to continuous tensile force application. , 2000, Archives of oral biology.

[22]  P. Dechow,et al.  Occlusal force and craniofacial biomechanics during growth in rhesus monkeys. , 1990, American journal of physical anthropology.

[23]  W. Sellers,et al.  Comparison of inverse-dynamics musculo-skeletal models of AL 288-1 Australopithecus afarensis and KNM-WT 15000 Homo ergaster to modern humans, with implications for the evolution of bipedalism. , 2004, Journal of human evolution.

[24]  A M Mohsen,et al.  Patient-specific spine models. Part 1: Finite element analysis of the lumbar intervertebral disc—a material sensitivity study , 2002, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[25]  David J Daegling,et al.  Finite-element modeling of the anthropoid mandible: the effects of altered boundary conditions. , 2005, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[26]  F. G. Evans Factors affecting the mechanical properties of bone. , 1973, Bulletin of the New York Academy of Medicine.

[27]  Kirk R. Johnson,et al.  In vivo bone strain patterns in the zygomatic arch of macaques and the significance of these patterns for functional interpretations of craniofacial form. , 1997, American journal of physical anthropology.

[28]  W. Hylander,et al.  Occlusal forces and mandibular bone strain: is the primate jaw "overdesigned"? , 1997, Journal of human evolution.

[29]  I. Spears,et al.  Effects of loading on the biochemical behavior of molars of Homo, Pan, and Pongo , 1999 .

[30]  X. Chen,et al.  The influence of alveolar structures on the torsional strain field in a gorilla corporeal cross-section. , 1998, Journal of human evolution.

[31]  J. Buckland-Wright Bone structure and the patterns of force transmission in the cat skull (Felis catus) , 1978, Journal of morphology.

[32]  S. Herring,et al.  Cranial sutures and bones: growth and fusion in relation to masticatory strain. , 2004, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[33]  T. P. Weihs,et al.  Nanoindentation mapping of the mechanical properties of human molar tooth enamel. , 2002, Archives of oral biology.

[34]  S. Herring,et al.  Biomechanics of the rostrum and the role of facial sutures , 2003, Journal of morphology.

[35]  D J Daegling,et al.  Experimental observation, theoretical models, and biomechanical inference in the study of mandibular form. , 2000, American journal of physical anthropology.

[36]  S W Herring,et al.  Strain in the braincase and its sutures during function. , 2000, American journal of physical anthropology.

[37]  P. Dechow,et al.  Variations in cortical material properties throughout the human dentate mandible. , 2003, American journal of physical anthropology.

[38]  G. Marshall,et al.  The mechanical properties of human dentin: a critical review and re-evaluation of the dental literature. , 2003, Critical reviews in oral biology and medicine : an official publication of the American Association of Oral Biologists.

[39]  U. Witzel,et al.  Functional Structure of the Skull in Hominoidea , 2004, Folia Primatologica.

[40]  S. Margulies,et al.  Infant skull and suture properties: measurements and implications for mechanisms of pediatric brain injury. , 2000, Journal of biomechanical engineering.

[41]  H. Preuschoft,et al.  Function-dependent shape characteristics of the human skull. , 2002, Anthropologischer Anzeiger; Bericht uber die biologisch-anthropologische Literatur.

[42]  D. Beighton,et al.  The Effects of the Availability of Diet on the Levels of Exoglycosidases in the Supragingival Plaque of Macaque Monkeys , 1986, Journal of dental research.

[43]  J. Mao,et al.  Mechanobiology of Craniofacial Sutures , 2002, Journal of dental research.

[44]  Jill Peterson,et al.  Material properties of the human cranial vault and zygoma. , 2003, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[45]  I. Spears,et al.  Biomechanical behaviour of modern human molars: implications for interpreting the fossil record. , 1998, American journal of physical anthropology.

[46]  A. Burstein,et al.  The Mechanical Properties of Cortical Bone , 1974 .

[47]  U. Witzel,et al.  The Role of the Zygomatic Arch in the Statics of the Skull and Its Adaptive Shape , 2004, Folia Primatologica.