Brain Injury and Impact Characteristics

  • Parisa SabooriEmail author
  • Graham Walker
State-of-the-Art Modeling and Simulation of the Brain's Response to Mechanical Loads


Almost all studies of traumatic brain injuries have only focused on the maximum acceleration associated with the impact. However, it has been noted that other impact characteristics should also be considered. This study has examined the effect on brain deformation [maximum principal strain (MPS)] associated with changing three characteristics of an isosceles trapezoid acceleration profile: initial slope (jerk), maximum acceleration, and impact energy (maximum velocity squared). This involved using a preexisting finite element model of the brain and applying the trapezoidal acceleration impact to the center of the forehead. The results showed the largest values of MPS were found along a line between the coup and contrecoup positions, and that a strong direct relationship existed between maximum acceleration and brain deformation as measured using MPS. In addition, a strong direct relationship was found to exist between impact energy and brain deformation as measured using MPS. However, it was found that there was almost no observable change in MPS with respect to different jerk values, and in fact there was a slight decrease in MPS as jerk values increased. This comported with a shock spectrum analysis of a simple one dimensional multiple degree of freedom system exposed to similar trapezoidal impulses.


Jerk Impact energy Trapezoidal profile TBI 



  1. 1.
    Alvarez, V. S. Understanding boundary conditions for brain injury prediction finite element analysis of vulnerable road users. Dissertation, KTH Royal Institute of Technology, Sweden, 2017.Google Scholar
  2. 2.
    An, Y., H. Jo, B. F. Spencer, and J. Ou. A damage localization method based on the ‘jerk energy’. Smart Mater. Struct. 23:1–13, 2014.Google Scholar
  3. 3.
    Bayly, P. V., T. S. Cohen, E. P. Leister, D. Ajo, E. C. Leuthardt, and G. M. Genin. Deformation of the human brain induced by mild acceleration. J. Neurotrauma 22:845–856, 2005.CrossRefGoogle Scholar
  4. 4.
    Bayly, P. V., S. Ji, S. K. Song, R. J. Okamoto, P. Massouros, and G. M. Genin. Measurement of strain in physical models of brain injury: a method based on HARP analysis of tagged magnetic resonance images (MRI). J. Biomech. Eng. 126:523–528, 2004.CrossRefGoogle Scholar
  5. 5.
    Chen, Y. Biomechanical analysis of traumatic brain injury by MRI-based finite element modeling. Dissertation, University of Illinois at Urbana-Champaign, USA, 2011Google Scholar
  6. 6.
    Clark, J. M., A. Post, T. B. Hoshizaki, and M. Gilchrist. Determining the relationship between linear and rotational acceleration and MPS for different magnitudes of classified brain injury risk in ice hockey. In: IRCOBI, IRC-15-26, 2015.Google Scholar
  7. 7.
    Farid, M. H., A. Eslaminejad, M. Ziejewski, and G. Karami. A study on the effects of strain rates on characteristics of brain tissue. In: IMECHE2017, 70356, 2017.Google Scholar
  8. 8.
    Feng, Y., T. M. Abney, R. J. Okamoto, R. B. Pless, G. M. Genin, and P. V. Bayly. Relative brain displacement and deformation during constrained mild frontal head impact. J. R. Soc. Interface 7:1677–1688, 2010.CrossRefGoogle Scholar
  9. 9.
    Fernandes, F. A. O., D. Tchepel, R. J. Alves de Sousa, and M. Ptak. Development and validation of a new finite element human head model: yet another head model (YEAHM). Eng. Comput. 35:47–96, 2018.CrossRefGoogle Scholar
  10. 10.
    Greenwald, R. M., J. T. Gwin, J. J. Chu, and J. J. Crisco. Head impact severity measures for evaluating mild traumatic brain injury risk exposure. Neurosurgery 62:789–798, 2008.CrossRefGoogle Scholar
  11. 11.
    Hardy, W. N., C. D. Foster, A. I. King, and S. Tashman. Investigation of brain injury kinematics: introduction of a new technique. In: Crashworthiness, Occupant Protection and Biomechanics in Transportation Systems, ASME, 1997Google Scholar
  12. 12.
    Hoshizaki, B., A. Post, M. Kendall, C. Karton, and S. Brien. The relationship between head impact characteristics and brain trauma. J. Neurol. Neurophysiol. 5:181–188, 2013.CrossRefGoogle Scholar
  13. 13.
    King, A. I., K. H. Yang, L. Zhang, W. Hardy, and D. C. Viano. Is head injury caused by linear or angular acceleration? In: International Research Council on Biomechanics of Injury Conference, Lisbon, Portugal, 2003.Google Scholar
  14. 14.
    Kuijpers, A. H. W. M., M. H. A. Claessens, and A. A. H. J. Sauren. The influence of different boundary conditions on the response of the head to impact: a two-dimensional finite element study. J Neurotrauma 12:715–724, 1995.CrossRefGoogle Scholar
  15. 15.
    Laksari, K., L. C. Wu, M. Kurt, C. Kuo, and D. C. Camarillo. Resonance of human brain under head acceleration. J. R. Soc. Interface 12:1–9, 2015.CrossRefGoogle Scholar
  16. 16.
    Mackerle, J. Finite element crash simulations and impact-induced injuries: a bibliography (1980–1998). Shock Vib. 6:321–334, 1999.CrossRefGoogle Scholar
  17. 17.
    Mao, H. Modeling the head for impact scenarios. In: Basic Finite Element Method as Applied to Injury Biomechanics, edited by K.-H. Yang. Cambridge: Academic, 2018, pp. 469–502.CrossRefGoogle Scholar
  18. 18.
    McLean, A. J., and R. W. G. Anderson. Biomechanics of closed head injury. In: Head Injury, edited by P. Reilly, and R. Bullock. London: Chapman and Hall, 1997, pp. 25–37.Google Scholar
  19. 19.
    Meaney, D. Biomechanics of brain injury: looking to the future. In: Accidental Injury: Biomechanics and Prevention, edited by N. Yoganandan, and et al. New York: Springer, 2015, pp. 247–257.Google Scholar
  20. 20.
    Melvin, J. W., and N. Yoganandan. Biomechanics of brain injury: a historical perspective. In: Accidental Injury: Biomechanics and Prevention, edited by N. Yoganandan, and et al. New York: Springer, 2015, pp. 221–245.Google Scholar
  21. 21.
    Miller, R. T., S. S. Margulies, M. Leoni, M. Nonaka, X. Chen, D. H. Smith, and D. F. Meaney. Finite element modeling approaches for predicting injury in an experimental model of severe diffuse axonal injury. In: 42nd STAPP Car Crash Conference, Paper 983154, 1998.Google Scholar
  22. 22.
    Nahum, A. M., R. Smith, and C. C. Ward. Intercranial pressure dynamics during head impact. In: Proceedings of the 21st Stapp Car Crash Conference, p. 339, 1977Google Scholar
  23. 23.
    Pellman, E. J., D. C. Viano, A. M. Tucker, I. R. Casson, and J. F. Waeckerle. Concussion in professional football: reconstruction of game impacts and injuries. Neurosurgery 53:799–814, 2003.CrossRefGoogle Scholar
  24. 24.
    Sabet, A. A., E. Christoforou, B. Zatlin, G. M. Genin, and P. V. Bayly. Deformation of the human brain induced by mild angular head acceleration. J Biomech. 41:307–315, 2007.CrossRefGoogle Scholar
  25. 25.
    Saboori, P. Mechanotransduction of head impacts to the brain leading to TBI: histology and architecture of subarachnoid space. Dissertation, The City University of New York, USA, 2011.Google Scholar
  26. 26.
    Saboori, P., and A. Sadegh. On the properties of brain sub arachnoid space and biomechanics of head impacts leading to traumatic brain injury. Adv. Biomech. Appl. 1:1, 2014.CrossRefGoogle Scholar
  27. 27.
    Takhounts, E. G., J. R. Candall, and K. Darvish. On the importance of nonlinearity of brain tissue under large deformations. Stapp Car Crash J. 47:79–92, 2003.Google Scholar
  28. 28.
    Takhounts, E. G., S. A. Ridella, V. Hasija, R. E. Tannous, J. Q. Campbell, D. Malone, K. Danelson, J. Stitzel, S. Rowson, and S. Duma. Investigation of traumatic brain injuries using the next generation of simulated injury monitor (SIMon) finite element head model. Stapp Car Crash J. 52:1–31, 2008.Google Scholar
  29. 29.
    Tse, K. M., V. B. C. Tan, and H. P. Lee. A review of head injury and finite element head models. Am. J. Eng. Technol. Soc. 1:28–52, 2014.Google Scholar
  30. 30.
    Wang, F., Y. Han, B. Wang, Q. Peng, X. Huang, K. Miller, and A. Wittek. Prediction of brain deformations and risk of traumatic brain injury due to closed-head impact: quantitative analysis of the effects of boundary conditions and brain tissue constitutive model. Biomech. Model. Mechanobiol. 2018. Scholar
  31. 31.
    Yang, B., M.-K. Tse, N. Chen, L.-B. Tan, Q.-Q. Zheng, H.-M. Yang, M. Hu, G. Pan, and H.-P. Lee. Development of a finite element head model for the study of impact head injury. BioMed Res. Int. 2014. Scholar

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© Biomedical Engineering Society 2019

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringManhattan CollegeBronxUSA

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