Viscoelastic computational modeling of the human head‐neck system: Eigenfrequencies and time‐dependent analysis

A subject-specific 3-dimensional viscoelastic finite element model of the human head-neck system is presented and investigated based on computed tomography and magnetic resonance biomedical images. Ad hoc imaging processing tools are developed for the reconstruction of the simulation domain geometry and the internal distribution of bone and soft tissues. Material viscoelastic properties are characterized point-wise through an image-based interpolating function used then for assigning the constitutive prescriptions of a heterogenous viscoelastic continuum model. The numerical study is conducted both for modal and time-dependent analyses, compared with similar studies and validated against experimental evidences. Spatiotemporal analyses are performed upon different exponential swept-sine wave-localized stimulations. The modeling approach proposes a generalized, patient-specific investigation of sound wave transmission and attenuation within the human head-neck system comprising skull and brain tissues. Model extensions and applications are finally discussed.

[1]  Vartan Kurtcuoglu,et al.  Computational modeling of the mechanical behavior of the cerebrospinal fluid system. , 2005, Journal of biomechanical engineering.

[2]  E. Kuhl,et al.  Mechanical properties of gray and white matter brain tissue by indentation. , 2015, Journal of the mechanical behavior of biomedical materials.

[3]  A Tjellström,et al.  The mechanical point impedance of the human head, with and without skin penetration. , 1986, The Journal of the Acoustical Society of America.

[4]  Charles Nicholson,et al.  Diffusion and related transport mechanisms in brain tissue , 2001 .

[5]  P. Asbach,et al.  Noninvasive assessment of the rheological behavior of human organs using multifrequency MR elastography: a study of brain and liver viscoelasticity , 2007, Physics in medicine and biology.

[6]  Jay D. Humphrey,et al.  Review Paper: Continuum biomechanics of soft biological tissues , 2003, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[7]  Piotr Majdak,et al.  Fast multipole boundary element method to calculate head-related transfer functions for a wide frequency range. , 2009, The Journal of the Acoustical Society of America.

[8]  S. Stenfelt,et al.  Linearity of sound transmission through the human skull in vivo. , 1996, The Journal of the Acoustical Society of America.

[9]  T. P. Johnson,et al.  A viscoelastic, viscoplastic model of cortical bone valid at low and high strain rates. , 2010, Acta biomaterialia.

[10]  Michael D. Gilchrist,et al.  The creation of three-dimensional finite element models for simulating head impact biomechanics , 2003 .

[11]  E. Kuhl,et al.  Mechanics of the brain: perspectives, challenges, and opportunities , 2015, Biomechanics and Modeling in Mechanobiology.

[12]  S Lindgren,et al.  Experimental studies in head injury , 1966, Biophysik.

[13]  M. Bance,et al.  Direct measurement of the wavelength of sound waves in the human skull. , 2013, The Journal of the Acoustical Society of America.

[14]  P. Janmey,et al.  A comparison of hyperelastic constitutive models applicable to brain and fat tissues , 2015, Journal of The Royal Society Interface.

[15]  Hervé Delingette,et al.  Realistic simulation of the 3-D growth of brain tumors in MR images coupling diffusion with biomechanical deformation , 2005, IEEE Transactions on Medical Imaging.

[16]  Alessio Gizzi,et al.  Statistical characterization of the anisotropic strain energy in soft materials with distributed fibers , 2016 .

[17]  G. Niebur,et al.  Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue. , 2004, Journal of biomechanics.

[18]  F. Velardi,et al.  Anisotropic constitutive equations and experimental tensile behavior of brain tissue , 2006, Biomechanics and modeling in mechanobiology.

[19]  F. Albermani,et al.  Infant brain subjected to oscillatory loading: material differentiation, properties, and interface conditions , 2008, Biomechanics and modeling in mechanobiology.

[20]  H Azhari,et al.  Automated detection and characterization of multiple sclerosis lesions in brain MR images. , 1998, Magnetic resonance imaging.

[21]  S Stenfelt,et al.  Vibration characteristics of bone conducted sound in vitro. , 2000, The Journal of the Acoustical Society of America.

[22]  A. Roychowdhury,et al.  Prediction of subdural haematoma based on a 3D finite element human head model , 2008 .

[23]  C J Cyron,et al.  Growth and remodeling of load-bearing biological soft tissues , 2016, Meccanica.

[24]  Guillermo Bugedo,et al.  Improving the Accuracy of Registration-Based Biomechanical Analysis: A Finite Element Approach to Lung Regional Strain Quantification , 2016, IEEE Transactions on Medical Imaging.

[25]  William C. Whiting,et al.  Dynatomy - Dynamic Human Anatomy , 2005 .

[26]  Frank Fahy,et al.  Foundations of engineering acoustics , 2000 .

[27]  Svein Kleiven,et al.  Behind helmet blunt trauma induced by ballistic impact : A computational model , 2016 .

[28]  A. Pandolfi,et al.  On three- and two-dimensional fiber distributed models of biological tissues , 2014 .

[29]  Narayan Yoganandan,et al.  Anisotropic composite human skull model and skull fracture validation against temporo-parietal skull fracture. , 2013, Journal of the mechanical behavior of biomedical materials.

[30]  David C. Viano,et al.  Experimental analysis of the vibrational characteristics of the human skull , 1979 .

[31]  S. Stenfelt,et al.  Transmission of bone-conducted sound in the human skull measured by cochlear vibrations , 2008, International journal of audiology.

[32]  Alessio Gizzi,et al.  Modeling collagen recruitment in hyperelastic bio-material models with statistical distribution of the fiber orientation , 2014 .

[33]  Alejandro Mota,et al.  Finite-element simulation of firearm injury to the human cranium , 2003 .

[34]  Mathieu Charlebois,et al.  Visco-hyperelastic law for finite deformations: a frequency analysis , 2013, Biomechanics and modeling in mechanobiology.

[35]  Alain Goriely,et al.  Mathematical modelling of blood-brain barrier failure and edema , 2015 .

[36]  King H. Yang,et al.  Computational neurotrauma—design, simulation, and analysis of controlled cortical impact model , 2010, Biomechanics and modeling in mechanobiology.

[37]  Stefan Stenfelt,et al.  Transmission properties of bone conducted sound: measurements in cadaver heads. , 2005, The Journal of the Acoustical Society of America.

[38]  A. E. Baroudi,et al.  Study of a spherical head model. Analytical and numerical solutions in fluid–structure interaction approach , 2012 .

[39]  S. Stenfelt Transcranial Attenuation of Bone-Conducted Sound When Stimulation Is at the Mastoid and at the Bone Conduction Hearing Aid Position , 2012, Otology & neurotology : official publication of the American Otological Society, American Neurotology Society [and] European Academy of Otology and Neurotology.

[40]  Songbai Ji,et al.  Brain pressure responses in translational head impact: a dimensional analysis and a further computational study , 2015, Biomechanics and modeling in mechanobiology.

[41]  Jaques Reifman,et al.  Untangling the Effect of Head Acceleration on Brain Responses to Blast Waves. , 2015, Journal of biomechanical engineering.

[42]  M. Ortiz,et al.  Biomechanics of traumatic brain injury , 2008 .

[43]  Joel D Stitzel,et al.  Development and validation of an atlas-based finite element brain model , 2016, Biomechanics and modeling in mechanobiology.

[44]  Sydney Lou Bonnick,et al.  Bone Densitometry in Clinical Practice , 1998, Current Clinical Practice.

[45]  R. Gilbert,et al.  Application of the multiscale FEM to the modeling of cancellous bone , 2010, Biomechanics and modeling in mechanobiology.

[46]  R. Christensen,et al.  Mechanics of composite materials , 1979 .

[47]  Stefan Stenfelt,et al.  Bone-Conducted Sound: Physiological and Clinical Aspects , 2005, Otology & neurotology : official publication of the American Otological Society, American Neurotology Society [and] European Academy of Otology and Neurotology.

[48]  D. Fotiadis,et al.  Free vibrations of the viscoelastic human skull , 1998 .

[49]  A J Pullan,et al.  Anatomically Based Modelling of the Human Skull and Jaw , 2005, Cells Tissues Organs.

[50]  R. Brand,et al.  Viscoelastic dissipation in compact bone: implications for stress-induced fluid flow in bone. , 2000, Journal of biomechanical engineering.

[51]  S. Stenfelt,et al.  A Three-Dimensional Finite-Element Model of a Human Dry Skull for Bone-Conduction Hearing , 2014, BioMed research international.

[52]  Paula P. Henry,et al.  Spatial audio through a bone conduction interface , 2006, International journal of audiology.

[53]  P. Young,et al.  The Analysis of Pressure Response in Head Injury , 2006 .

[54]  Liying Zhang,et al.  Analysis of finite element models for head injury investigation: reconstruction of four real-world impacts. , 2005, Stapp car crash journal.

[55]  Application of the Multiscale FEM to the Modeling of Composite Materials , 2008 .

[56]  Dimitrios I. Fotiadis,et al.  Frequency spectrum of the human head-neck system , 1997 .

[57]  Xin Jin,et al.  Using a gel/plastic surrogate to study the biomechanical response of the head under air shock loading: a combined experimental and numerical investigation , 2012, Biomechanics and modeling in mechanobiology.

[58]  Thomas W. McAllister,et al.  Head impact accelerations for brain strain-related responses in contact sports: a model-based investigation , 2014, Biomechanics and modeling in mechanobiology.

[59]  Georgina E. Lang,et al.  Propagation of damage in brain tissue: coupling the mechanics of oedema and oxygen delivery , 2015, Biomechanics and Modeling in Mechanobiology.

[60]  Stefan Stenfelt,et al.  Transmission of bone conducted sound – Correlation between hearing perception and cochlear vibration , 2013, Hearing Research.

[61]  Faris Tarlochan,et al.  Finite Element (FE) Human Head Models / Literature Review , 2013 .

[62]  Karol Miller,et al.  Biomechanics of the brain for computer-integrated surgery. , 2010, Acta of bioengineering and biomechanics.

[63]  Rjh Rudy Cloots,et al.  Multi-scale mechanics of traumatic brain injury: predicting axonal strains from head loads , 2013, Biomechanics and modeling in mechanobiology.

[64]  J. Humphrey Continuum biomechanics of soft biological tissues , 2003 .

[65]  S. Lim,et al.  Conventional and complex modal analyses of a finite element model of human head and neck , 2015, Computer methods in biomechanics and biomedical engineering.

[66]  M Graw,et al.  The validation and application of a finite element human head model for frontal skull fracture analysis. , 2014, Journal of the mechanical behavior of biomedical materials.

[67]  A Tjellström,et al.  Resonance frequencies of the human skull in vivo. , 1988, The Journal of the Acoustical Society of America.

[68]  G. Békésy Vibration of the Head in a Sound Field and Its Role in Hearing by Bone Conduction , 1948 .