Traumatic Brain Injury (TBI) Research

Brain Fluidity  |  Fluidity and Geometry  |  Stress-strain Relation  |  Resonance Effect  |  Grey/White Boundary  

The role of the brain fluidity during traumatic head rotations and translations

The linear Kelvin-Voigt (K-V) TBI model, which treats the brain as a viscoelastic solid, predicts that during rotational or translational head accelerations and decelerations, the velocity vector field initially 'reacts to' the rotational or translational character of the force. However, after a few milliseconds, the brain elasticity triggers brain matter oscillations whose multi-vortex circular patterns adjust to the skull's shape. In particular, during the forward head deceleration, the oscillatory patterns accommodate to the shape of the sagittal cross-sections (top panels). The dark to light shading of the curved velocity vectors indicates the oscillation direction. The introduction of the nonlinear material temporal derivative into the K-V PDEs, which reflects the brain fluidity, leads to much more complex turbulent oscillatory patterns whose vortices are randomly scattered (bottom panels). The turbulent flow usually results in high values of the strain norm. Thus, the brain fluidity may be one of the reasons why Diffuse Axonal Injuries are scattered.
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Velocity vector field relative to the skull V(x,t) in a centrally located sagittal brain cross-section during a forward rotational and translational deceleration of the head with BIC36=1000=HIC36

Brain matter characteristics and average tangential load values at a centrally located sagittal cross-section
Forward rotation about the head's center of mass
Forward head translation
Linear K-V TBI model
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Nonlinear fluid TBI model
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