tissue-level stresses within the brain during rotationally-induced mtbi: a 3d finite element model...
TRANSCRIPT
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TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D
FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
D. BAUMGARTNER, M. LAMY, R. WILLINGER DEPARTMENT OF FLUID AND SOLID MECHANICS
STRASBOURG UNIVERSITY – FRANCE
N. YOGANANDAN, B.D. STEMPER DEPARTMENT OF NEUROSURGERY
MEDICAL COLLEGE OF WISCONSIN – USA
5th European HTC
Bonn – Germany – November 2011
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CONTEXT
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Context: TBI
Traumatic Brain Injuries (TBI): Major cause of deaths and disabilities
235/100,000 (EU) 103/100,000 (USA)
Double cost
Mild TBI : not fully explored
Motor-vehicle incidents
Falls Sport-related
Other
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Context: Mechanical sollicitations
Mechanical loading results in an brain response
Criteria in head protection systems and standards Not accounting for angular acceleration
Need for injury criteria models
Experimental models Numerical models
(Deck et al., 2008)
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Context: Rat brain FE models
Shreiber et al., 1997 (University of Pennsylvania)
Gefen et al., 2003 (University of Pennsylvania)
Levchakov et al., 2006 (University of Pennsylvania)
Pena et al., 2005 (University of Cambridge)
Mao et al., 2006 (Wayne State University)
Zhu et al., 2010 (Wayne State University)
Fijalkowski et al., 2009 (Medical College of Wisconsin)
Strasbourg University Model, 2009
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Context: Objectives of the study
Reconstruct real experimental protocols with our rat head FEM
Pure rotational loading Compare experimental findings and calculated mechanical response.
Contribute to the knowledge on mild TBI from a mechanical point of view.
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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EXPERIMENTAL
PROTOCOL
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Experimental setup: Device
Submission of the rat head to a coronal plane pure rotational acceleration input
The Medical College of Wisconsin
device for the induction of rat head
rotation
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Experimental setup: Groups
Three levels of amplitude: 290 krad/s² (M1), 420 krad/s² (M2) and 530 krad/s² (M3) Three durations: 1ms (D1), 2ms (D2) and 3ms (D3)
Five experimental groups:
Varying duration (D1,D2,D3) Fixed amplitude (M2)
Varying amplitude (M1,M2,M3) Fixed duration (D2)
Four complementary pulses
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Experimental results: Behaviour
Observation of unconscious times (UC times)
UC times increase with amplitude &/or duration of acceleration
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Experimental results: Histology
GFAP immunohistochemistry in the hippocampus
MAP2 immunohistochemistry in the parietal cortex
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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NUMERICAL
SIMULATIONS
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Simulations: Model (mesh, 1)
Continuous mesh (Hypermesh 10.0)
Brain 14,752 hexahedrons
Skull
3,220 shells Brain/skull interface 3,220 hexahedrons
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Simulations: Model (mesh, 2)
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Simulations: Model (behaviour, 1)
The model is assumed to be Linear viscous elastic (Boltzman model) for brain Linear elastic for brain/skull interface With a rigid skull Homogeneous and isotropic
Material properties of the brain
Short term
shear modulus
Long term
shear modulus Time constant Density Bulk modulus
10 kPa 2 kPa 8 s 1,040 kg/m3 2.19 GPa
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Simulations: Model (behaviour, 2)
Choice of material properties for the brain
Based on Fijalkowski et al. (2009)
In agreement with MRE data from Vappou et al. (2008)
Short term shear modulus Long term shear modulus
10 kPa 2 kPa
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Simulations: Computed parameters
The model is submitted to coronal plane angular acceleration inputs (one per group) Main parameter (Radioss)
Von Mises stresses Regions of interest
Hippocampus and parietal cortex
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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NUMERICAL
RESULTS
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Results: VM stresses (distribution, 1)
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Results: VM stresses (distribution, 2)
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Results: VM stresses (distribution, 3)
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Results: VM stresses (distribution, 4)
Rotation direction
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Results: VM stresses (distribution,5)
Rotation direction
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Results: Influence of pulse amplitude
1 ms 2 ms 3 ms Fixed
Duration
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Results: Influence of pulse duration
290 krad/s² 420 krad/s² 530 krad/s² Fixed
Amplitude
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Results: First observations
Fixed duration If the amplitude of the loading increases, then the VM stresses increase too.
Fixed amplitude
If the duration of the loading varies, no sensitive trend can be found in VM stresses evolution. How can it be explained ?
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Usually observed Peak value
But
The same constraint will have differing consequences, the longer it is maintained
How to account for both amplitude and duration of loading ? Notion of « shape factor » Integrated parameters
A new metric: The stress-time (1)
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Integrated parameter for the duration of the loading pulse
A new metric: The stress-time (2)
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Results: Stress-time and pulse amplitude
1 ms 2 ms 3 ms Fixed
Duration
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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290 krad/s² 420 krad/s² 530 krad/s² Fixed
Amplitude
Results: Stress-time and pulse duration
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Results: Numerical vs experimental (1) H
ipp
oca
mp
us
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Results: Numerical vs experimental (2) Pa
riet
al C
ort
ex
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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CONCLUSIONS
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Conclusions
FEM including anatomical structures for in-vivo TBI investigation
Good relation between VM stresses distributions and the histological observations
Amplitude of VM stresses do not seem influenced by the impact duration, whereas integrated stresses are
Proposition of a new metric accounting for this observation
Better agreement with experimental outcomes
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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Future developments
Expanding the range of existing simulations with New inputs &/or new protocols
Achieving a more detailed mechanical characterization i.e. taking into account inhomogeneity, anatomically based distribution, …
Realizing a refined mesh for the model
In the long term, transfering the results to human brain
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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THANK YOU FOR
YOUR ATTENTION
TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
5th European HTC – Bonn – Germany – November 2011
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TISSUE-LEVEL STRESSES WITHIN THE BRAIN DURING ROTATIONALLY-INDUCED mTBI: A 3D
FINITE ELEMENT MODEL OF THE RAT COUPLED WITH EXPERIMENTS
D. BAUMGARTNER, M. LAMY, R. WILLINGER DEPARTMENT OF FLUID AND SOLID MECHANICS
STRASBOURG UNIVERSITY – FRANCE
N. YOGANANDAN, B.D. STEMPER DEPARTMENT OF NEUROSURGERY
MEDICAL COLLEGE OF WISCONSIN – USA
5th European HTC
Bonn – Germany – November 2011