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In Vivo Measurement of Brain Biomechanics. PV Bayly, E Christoforou, C Kessens, SM Atay, A Sabet, GM Genin Washington University Mechanical and Aerospace Engineering. Motivation: Understanding TBI. What are forces on and accelerations of the skull?
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In Vivo Measurement of Brain Biomechanics PV Bayly, E Christoforou, C Kessens, SM Atay, A Sabet, GM Genin Washington University Mechanical and Aerospace Engineering
Motivation: Understanding TBI • What are forces on and accelerations of the skull? • How does the brain deform in response to skull loading? • How does brain tissue respond to deformation?
Soccer heading characterization Ball speed: 12m/s
Understanding TBI • What are forces on and accelerations of the skull? • How does the brain deform in response to skull loading? • How does brain tissue respond to deformation?
Measuring brain deformation • Tagged MR imaging • Gated image acquisition • Repeated motion • Analysis of displacement and strain
Analysis: Track centers of tag lines Algorithm: Automatically identify intersections of harmonic phase contours (HARP)
Analysis: Construct mesh from intersection points Deformed Reference
[X1,Y1] [X3,Y3] [x1,y1] [x3,y3] DX3 dx3 DX1 dx1 DX2 dx2 [X2,Y2] [x2,y2] Analysis: Estimate Lagrangian strain in deformed mesh
Methods: Angular acceleration Subject in scanner Gelatin phantom
Rotational motion constraint Weight Latch Head Coil Head Cylinder
Validation in gel phantom Experiment Simulation
Analysis of deformation Cartesian (x,y) strain components Polar (r,θ) strain components
Validation in gel phantom Simulation Experiment First peak: Maximum shear
Validation in gel phantom Simulation Experiment Rebound: Minimum shear
Methods: Controlled head motion Siemens Sonata 1.5T
Methods: Repeated acceleration Acceleration: blue - Peak: 20-30 m/s2 - Duration: ~40 ms. Optical signal: green Imaging time: red
Results: Displacement Sagittal: Deformation scaled 5X
Results: Displacement Transverse: Deformation scaled 5X
Horizontal Positive (red): extension Negative (blue): shortening Vertical ( - ) Shear ( + ) Max. principal Results: Strain – sagittal plane Horizontal, vertical strains Shear strain
Positive (red): extension Negative (blue): shortening Horizontal Vertical ( - ) ( + ) Shear Max. principal Results: Strain – transverse plane Horizontal, vertical strains Shear strain
Positive (red): extension Negative (blue): shortening Results: Strain – Transverse plane Horizontal, vertical strains Horiz. Bungee jumping analogy Vert. Shear Brain suspension appears important
Discussion • Measurement of brain deformation is feasible even during short, fast, linear accelerations. • Strains of 3-5% occur during 2-3 G accelerations • Brain “suspension” is important • This data will be valuable in developing accurate, validated computer models
Brain deformation during angular acceleration of skull: MR methods • Head constrained to rotate • Volunteer initiates each acceleration event
Results: Angular acceleration-induced deformation of human brain Subject 1: Plane 0 cm
Results: Angular acceleration-induced deformation of human brain Subject 1: Plane +2 cm
Results: Angular acceleration-induced deformation of human brain Subject 1: Plane -2 cm
Results: Angular acceleration-induced deformation of human brain Subject 3: Plane 0 cm
Results: Angular acceleration-induced deformation of human brain Subject 3: Plane +2 cm
Analysis sequence Cartesian (x,y) strain components Polar (r,θ) strain components
Results Radial-circumferential shear strain: εrθ
Conclusions • MR methods can be used to estimate strain during fast angular accelerations • Strains: ~5% occur at 250-300 rad/s2 • Boundary conditions: Dura mater, falx, and tentoriummembranes, vessels, bony prominences are all important. • These data will be useful for development of accurate, validated computer models. Dura mater membrane Medial longitudinal fissure Tentorium membrane
Future work: MR Elastography • MR visualization of shear waves • Shear modulus estimated from propagation speed 800 hz 1200 hz
Future work: Tagged MRI • Higher temporal resolution • MR techniques • Higher accelerations • Animal studies • More types of head motion
Acknowledgments G.M. Genin – Co-PI E. Leuthardt J. Ackerman K. Dikranian R.J. Okamoto X. Yu S.-K. Song E. Christoforou WU Human Performance Lab WU Small Animal Imaging Resource Southern Consortium on Injury Biomechanics Students: G. Meyer T. Cohen P. Massouros S. Ji A. Sabet C. Kessens
Are heading impacts dangerous? • Angular acceleration, velocity << injury criteria1 • Sub-concussive • Effects of repeated impacts unknown. 1Margulies and Thibault (1992)
How much deformation occurs? When? Area fraction: Fraction of image in which strain exceeds the specified level λ. Sagittal plane
When are impacts dangerous? • Viscoelastic material responds to angular acceleration of outer boundary