Elsevier

Journal of Biomechanics

Volume 48, Issue 14, 5 November 2015, Pages 3766-3775
Journal of Biomechanics

The compressive stiffness of human pediatric heads

https://doi.org/10.1016/j.jbiomech.2015.08.024Get rights and content

Abstract

Head injury is a persistent and costly problem for both children and adults. Globally, approximately 10 million people are hospitalized each year for head injuries. Knowing the structural properties of the head is important for modeling the response of the head in impact, and for providing insights into mechanisms of head injury. Hence, the goal of this study was to measure the sub-injurious structural stiffness of whole pediatric heads. 12 cadaveric pediatric (20-week-gestation to 16 years old) heads were tested in a battery of viscoelastic compression tests. The heads were compressed in both the lateral and anterior–posterior directions to 5% of gauge length at normalized deformation rates of 0.0005/s, 0.01/s, 0.1/s, and 0.3/s. Because of the non-linear nature of the response, linear regression models were used to calculate toe region (<2.5%) and elastic region (>2.5%) stiffness separately so that meaningful comparisons could be made across rate, age, and direction. The results showed that age was the dominant factor in predicting the structural stiffness of the human head. A large and statistically significant increase in the stiffness of both the toe region and the elastic region was observed with increasing age (p<0.0001), but no significant difference was seen across direction or normalized deformation rate. The stiffness of the elastic region increased from as low as 5 N/mm in the neonate to >4500 N/mm in the 16 year old. The changes in stiffness with age may be attributed to the disappearance of soft sutures and the thickening of skull bones with age.

Introduction

Head injury is a persistent and costly problem. Globally, approximately 10 million people are hospitalized each year for head injuries—in the United States alone, 1.1 million people are hospitalized annually (Langlois et al., 2006b, Murray and Lopez, 1996). Children and young adults under the age of 20 suffer the majority of these injuries (Langlois et al., 2006a). It is estimated that 3% of all children will experience a brain injury by the time they turn 16 years old (Kraus, 1995). Despite this, there is very limited quantitative data on the structural properties of the pediatric head (Prange et al., 2004). Knowing the head׳s structural properties is essential for understanding its response to loads and, consequently, the mechanical exposures for which skull anatomical changes with age are based (Lapeer and Prager, 2001, Prange et al., 2004).

In previous work on adult heads, McElhaney conducted quasi-static (~0.0005/s) compression failure tests on 23 specimens. He found that the average peak force at fracture was 5115 N and 5954 N in the lateral and anterior–posterior directions, respectively, with compression strains of ~2% of head length and ~4% of head width (McElhaney, 1976, McElhaney et al., 1972). Additionally, head stiffness was observed to be nonlinear (McElhaney, 1976, McElhaney et al., 1972). Yoganandan et al. (1995) studied adult head compression using a hemispherical anvil while the lower portion of the head was rigidly fixed (Yoganandan et al., 1995). The heads were loaded locally with direct contact to the vertex, temporal, occiput, and frontal bones at rates of 0.0025 m/s and at 7.1–8.0 m/s. This experiment showed that head stiffness and fracture force increased with deformation rate, while the deflection to failure decreased with deformation rate (Yoganandan et al., 1995). To date, no study has evaluated how head stiffness changes with age or evaluated the stiffness of heads between the ages of 1 month and 18 years old.

The goal of this study was to quantify the structural stiffness of human pediatric heads from birth through age 16. The variables examined include age, compression direction, compression amount, and normalized deformation rate. These data are valuable for understanding the compressive response of the pediatric head, and are useful in developing computational models, anthropomorphic test devices (ATDs), and scaling relationships.

Section snippets

Methods

12 pediatric cadaveric heads were used in this study (Table 1). Data from a previously published study was also included (Prange et al., 2004) (P03M, P05F, and P06F). The specimens were obtained from nonprofit donor institutions including Duke University. The IRB was apprised of the research and protocol, but approval was not needed because cadavers are not considered human subjects. The specimens were fresh-frozen and stored at −20 °C. Before testing, they were thawed in a humidified chamber.

Results

Examples of the force–displacement curves and the non-linear fits are shown in Fig. 2. The stiffness values for all directions and rates are summarized in Fig. 3 and Table 2, while the coefficients for the exponential fits are given in Table 3. The average R2 for the non-linear fits across all specimens was 0.996, with the lowest value being 0.979. Out of the 160 stiffnesses, 17 were calculated using the nonlinear curve fit (Table 3) because the 500 N force interlock was triggered; only one toe

Discussion

Previous studies of the head in compression have loaded adult heads to the point of fracture (McElhaney, 1976, McElhaney et al., 1972, Yoganandan et al., 1995). There are only two previous studies of the pediatric head in compression (Cohnstein, 1875, Prange et al., 2004). Cohnstein investigated compression due to application of forceps but did not report any forces, and Prange investigated only a small sample of neonatal heads. The current study provides quantitative compressive stiffness

Conflict of interest statement

None declared.

Acknowledgments

The authors thank NHTSA under contract DTNH22-94-Y-07133 and the Southern Consortium for Injury Biomechanics at the University of Alabama Birmingham for providing funding for this research. We also thank the National Science Foundation for Dr. Loyd׳s graduate school fellowship.

References (32)

  • M.T. Davis et al.

    The mechanical and morphological properties of 6-year-old cranial bone

    J. Biomech.

    (2012)
  • R.J. Lapeer et al.

    Fetal head moulding: finite element analysis of a fetal skull subjected to uterine pressures during the first stage of labour

    J. Biomech.

    (2001)
  • P.G. Agache et al.

    Mechanical properties of the young׳s modulus of human skin in vivo

    Arch. Dermatol. Res.

    (1980)
  • A.M.R. Agur et al.

    Grant׳s Atlas of Anatomy

    (1991)
  • J.P. Bradley et al.

    Studies in cranial suture biology: in vitro cranial suture fusion

    Cleft Palate-Craniofac. J.

    (1996)
  • B. Coats et al.

    Material properties of human infant skull and suture at high rates

    J. Neurotrauma

    (2006)
  • M.M. Cohen

    Sutural biology

  • Cohnstein

    Ueber Zangen application bei Beckenege (about forceps application at Beckenege)

    Arch. Pathol. Anat. Physiol.

    (1875)
  • A.T. Dibb et al.

    Tension and combined tension–extension structural response and tolerance properties of the human male ligamentous cervical spine

    J. Biomech. Eng.

    (2009)
  • O. Faiz et al.

    The Skull I, Anatomy at a Glance

    (2011)
  • B. Getz

    Skull thickness in the frontal and parietal regions

    Acta Morphol. Neerl. Scand.

    (1960)
  • Hodgson, V.R., Gurdjian, E.S., Thomas, L.M., 1967. The Development of a Model for the Study of Head Injury. In:...
  • H. Ishida et al.

    Cranial thickness of modern and neolithic populatons in Japan

    Hum. Biol.

    (1990)
  • J. Kraus

    Epidemiological features of brain injury in children

  • C.W. Kuffel

    Orthotic modeling of the developing skull

    J. Prosthet. Orthot.

    (2004)
  • J.A. Langlois et al.

    The epidemiology and impact of traumatic brain injury

    J. Head Trauma Rehabil.

    (2006)
  • Cited by (10)

    • The response of the pediatric head to impacts onto a rigid surface

      2019, Journal of Biomechanics
      Citation Excerpt :

      The same twelve pediatric heads from Loyd et al., 2015 were used for this study (Table 1). These head impact tests were performed following a cervical spine testing series and before head compression tests (Loyd et al., 2015; Luck et al., 2008; Luck et al., 2013a; Luck et al. 2013b). The heads were disarticulated from the cervical spine at the occipital condyles in the atlanto-occipital joint.

    • Development of a child head analytical dynamic model considering cranial nonuniform thickness and curvature – Applying to children aged 0–1 years old

      2018, Computer Methods and Programs in Biomedicine
      Citation Excerpt :

      Therefore, investigating young children's head dynamic response under impact condition is an important topic. Currently, the common methods are cadaver or volunteer experiment [4,5], Anthropomorphic Test Devices (ATD) tests [6,7], finite element (FE) simulation [8–13] and analytical model [14–18]. Among them, the analytical model has the advantage of quickly predicting the head global dynamic responses under varied impact scenarios [18].

    • A Review of the Compressive Stiffness of the Human Head

      2022, Annals of Biomedical Engineering
    View all citing articles on Scopus
    View full text