F2008-SC-044
Head Impact Analysis related to the Mechanism of Diffuse Axonal Injury
1Watanabe, Dai*, 2Yuge, Kohei, 3Nishimoto, Tetsuya, 4Murakami, Shigeyuki, 5Takao,
Hiroyuki
1Seikei University, Japan, 2Seikei University, Japan, 3Nihon University, Japan, 4Murakami
Clinic, Japan, 5Jikei University School of Medicine, Japan
KEYWORDS - passive automobile safety design, diffuse axonal injury, VOXEL head model,
impact analysis, and cerebral limbic system
ABSTRACT - The simulation of the head subjected to the impact acceleration was conducted
to understand the mechanism of a diffuse axonal injury. It is known that the diffuse axonal
injury frequently occurs in motor vehicle accidents. Gennarelli et al. proposed that a diffuse
axonal injury occurs while a head is subjected to rather a lateral rotational impact than a
sagittal or oblique impact. The obtained result shows that the higher stress occurred in a deep
area of brain near the leading edge of a falx cerebri and tentorium cerebelli. It was confirmed
that the greater stress areas of the brain matched the fact that DAI often involve the injury in a
corpus callosum and a brain stem. Moreover, the brain dysfunctions due to an injury in the
higher stress areas correspond to the residual disability in the diffuse axonal injury. We expect
that the injury in a brain stem and cerebral limbic system is the essential of the diffuse axonal
injury.
TECHNICAL PAPER -
INTRODUCTION
A brain injury can be divided into two types. One of this is a focal brain injury and the other
is a diffuse brain injury. An epidural hematoma, subdural hematoma, contusion and
intracranial hematoma belong to the focal brain injury, which can be found easily by a
diagnostic imaging with a CT or MRI. On the other hand, a diffuse brain injury is diagnosed
on the basis of physiological response. According to the classification proposed by
Gennarrelli et al.(1), a temporary consciousness disorder within 6 hours is called a
concussion and a prolonged coma over 6 hours is called a diffuse axonal injury(DAI). The
different point of a focal brain injury is that it’s difficult for a diffuse brain injury to find a
brain damage area by diagnostic imaging. So the mechanism of a diffuse brain injury has not
been clear and a diffuse brain injury has many social issues. For example, there is no effective
treatment because of invisible injury, a consciousness disorder might not be certified as the
residual disorder caused by a motor vehicle accident because the evidence of a consciousness
disorder can’t be found and so on. The only thing that seems to be sure is that a diffuse brain
injury frequently occurs in a motor vehicle accident. Therefore, it is quite important to
understand the mechanism of a diffuse brain injury for a passive automobile safety design.
Several research groups have dedicated decades to understand the mechanism of brain injury
includes diffuse brain injury in several approaches. In representative experimental approaches,
great achievements of the experimental data using human surrogates(2)(3) and using physical
human head models (4)(5) have been proposed. Recent development of computers has made it
possible to study the brain injury mechanisms numerically. 2-D simple head models were
made to understand the response while an impact(6)(7). In the early works, Nishimoto, one of
our authors, et al.(8) used 2-D coronal plane head model to simulate a brain behaviour
subjected to the rotational impact. Zhou et al.(9) made a 3-D head FE model, with which they
perfomed impact simulations and suggested that focal injuries are induced by pressure while
diffuse axonal injuries are induced by shear stresses. Kleiven et al.(10) reported the influence
since the size of head model was changed. Zhang et al.(11) developed one of the most
detailed models called WSUBIM version 2001 for better understanding the head injury
mechanism. Moreover, we have performed to discuss the mechanism of a focal brain injury
using the detailed VOXEL head model which we developed(12).
In this research impact simulations were conducted to study the mechanism of a diffuse
axonal injury which is a more severe injury in diffuse brain injury using the VOXEL head
model.
THE VOXEL HEAD MODEL FOR IMPACT ANALYSIS
The VOXEL head model we developed using CT images is shown in Figure 1. The model
consists of 1.22million hexahedron elements and 10 tissues. The employed material properties
of each tissue in the simulation are shown in Table 2. The properties were determined by
referring to various existing reports. The brain was assumed to be a liner visco-elastic
material proposed by Zhang et al. and the skull was treated as elasto-plastic material by
Nishimoto et al.(13). The skin and the membrane were treated as elastic material by Ruan et
al.(14). It is confirmed that the model is useful in an impact simulation since the head impact
experiment by Nahum et al.(15) was simulated.
Figure 1 1.22 million elements human head model
(d) Brain
(e) Falx cerebri and Tentorium
cerebelli (f) Ventricle
(a) Skin (b) Skull (c) Dura mater
tissues young'smodulus[Pa]
poisson's
ratio density[kg/㎥]
yield
stress[Pa]
tangent
modulus[Pa]
Skin 1.67×107 0.420 1300 - -
Falx cerebri 3.15×107 0.450 1130 - -
Dura mater 3.15×107 0.450 1130 - -
Tentorium cerebelli 3.15×107 0.450 1130 - -
Skull 8.75×109 0.261 1456 4.18×107 4.62×109
tissues bulkmodulus[Pa]
short term shear
modulus[Pa]
long term shear
modulus[Pa] density[kg/㎥]
decay
factor[s-1]
Brain 2.19×109 1.25×104 2.5×103 1040 80
Soft tissue 2.19×109 1.25×104 2.5×103 1040 80
Eyes 2.19×109 1.25×104 2.5×103 1040 80
CSF 2.19×109 5.0×102 - 1040 5.0×105
Ventricle 2.19×109 5.0×102 - 1040 5.0×105
Table 1 Material property of tissues in the head model
IMPACT SIMULATION
Diffuse Axonal Injury (DAI)
A diffuse axonal injury is defined as a prolonged coma over 6 hours, in generally, makes a
poor prognosis. It is said that Strich(16)(17) found the anatomical evidence of consciousness
disorder for the first time. Strich reported that widespread damage to axons in white matter
was confirmed since the autopsy to a fatality after prolonged coma was conducted and the
consciousness disorder causes a consciousness disorder. The report was well known as the
reason why a consciousness disorder occurs afte impacts. After that, Adams et al.(18) called it
diffuse axonal injury.
One of the greatest achievements by Gennarelli et al.(3) to understand the mechanism of a
diffuse axonal injury is representative. They conducted the impact experiments to make a
diffuse axonal injury occur using primates. They put instruments like a helmet on primates
and observe their pathological response after the instruments sudden moved to sagittal,
oblique and lateral directions respectively (Figure 2). The results of the experiments are
shown in table 2. According to the report, we can find that a diffuse axonal injury, a severe
consciousness disorder, rather occurs in a lateral rotational impact than a sagittal or oblique
impact.
(a) sagittal (b) oblique (c) lateral
Figure 2 Helmet-like instrument on primate and impact to sagittal, oblique and lateral direction in the experiment
by Gennarelli et al.
60°60°60°60° 60°60°
Mild(16-119min) Moderate(2-6hr) Severe(>6hr) Persisting Coma
Sagittal 11(85%) 2(15%) 0 0 0 13
Oblique 2(33%) 3(50%) 1(17%) 0 0 6
Lateral 2(8%) 1(4%) 3(12%) 13(50%) 7(27%) 26
Total 15 6 4 13 7 45
TotalProlonged Traumatic Coma
Duration of Coma
Cerebral Concussion
(<15min)
Acceleration
Direction
0
500
1000
1500
2000
2500
0 5 10
Duration[ms]
Ac
ce
le
ra
tio
n
[m
/s
2
]
(a) 0.0[ms] (b) 8.0[ms] (c) 11.0[ms] (d) 14.0[ms]
Table 1 Relationship of direction of head motion to duration of coma (Gennarelli et al.)
Lateral Rotational Impact Simulation
A simulation subjected to a lateral rotational impact based on the previous report was
conducted to discuss the brain behaviour. In order to make the rotational behaviour of the
head, a translational acceleration was applied to the bottom of the head model as shown in the
left of Figure 3. The applied acceleration was the sinus curve which peek value was
2000[m/s2] at 5[ms] and duration was 10[ms] as shown in the right of Figure 3.
Figure 3 Applied boundary condition
Results
The time histories of the head behaviour and falx cerebri and tentorium cerebelli are shown in
Figure 4 and Figure 5 respectively. It is confirmed that the rotational behaviour of the head
was simulated well in Figure 4. Although the shear modulus of falx cerebri and tentorium
cerebelli are much higher than brain’s one, they were deformed while impact in Figure 5.
Figure 4 Head behaviour while a lateral rotational impact
Rotation
Acceleration
(a) 0.0[ms] (b) 8.0[ms] (c) 11.0[ms] (d) 14.0[ms]
(a) 0.0[ms] (b) 8.0[ms] (c) 11.0[ms] (d) 14.0[ms]
Figure 5 Behavior of falx cerebri and tentorium cerebelli while a lateral rotational impact
Next, the time history of Mises equivalent stress in a coronal plane was shown in Figure 6. In
this simulation case, a wide spread distribution of the stress which indicate a diffuse brain
injury couldn’t be confirmed. Instead, the stress concentrated in a corpus callosum, cingulated
gyrus, brain stem and an inside of temporal lobe.
Figure 6 Von-Mises equivalent stress distribution in a coronal plane
while a lateral rotational impact [Pa]
DISCUSSION
Essential of diffuse axonal injury
Recently, the localization of brain functions is getting clear since Penfield’s brain function
map was known well. So the brain functions or function disorders due to a lesion in areas of
greater stresses are shown in Figure 7.
Figure 7 the brain functions or function disorders due to a lesion in areas of greater stresses
Due to lesion, loss of the ability to
execute coordinated movements
Center of consciousness
Due to lesion, absence of spontaneity
emotional blunting
Due to lesion, memory disorder
disorientation
absence of spontaneity
personality change
depression
Inside of temporal lobe
Cingulate gyrus
Brain stem
Corpus callosum
Due to lesion, loss of the ability to
execute coordinated movements
Center of consciousness
Due to lesion, absence of spontaneity
emotional blunting
Due to lesion, memory disorder
disorientation
absence of spontaneity
personality change
depression
Inside of temporal lobe
Cingulate gyrus
Brain stem
Corpus callosum
Higher brain dysfunction
moderate temporary unconsciousness Memory disorder
Execution dysfunction
Emotional disorder
severe prolonged coma Personality change
persistent vegetative state Disinhibition
Degeneration
Depression
Consciousness disorder
A corpus callosum is connecting a left hemisphere and right hemisphere of the brain. It loses
the ability to execute coordinated movements due to a lesion. A brain stem is a centre of
consciousness. A coma occurs by raising an intracranial pressure due to an acute epidural
hematoma or subdural hematoma because their hematomas push down a brain stem. A
cingulate gyrus, which is the part of a cerebral limbic system, causes absence of spontaneity
and emotional blunting due to a lesion. The inside of temporal lobe, which is also the part of a
cerebral limbic system, causes memory disorder, disorientation, absence of spontaneity,
personality change and depression due to a lesion.
On the other hand, residual disorders in a diffuse axonal injury are shown in table 2. There are
two main types, a consciousness disorder and a higher brain dysfunction. In the consciousness
disorder, the injury causes temporal consciousness disorder if it is mild or less. But if the
injury is severe, it causes prolonged coma or persistent vegetative state. In the higher brain
dysfunction, the injury leaves a memory disorder, execution dysfunction, emotional disorder,
personality change, disinhibition, degeneration and depression. It is realized that the residual
disorders are corresponding to the previous brain functions or function disorders due to a
lesion in areas of greater stresses shown in Figure 7. So the several symptoms because of
diffuse axonal injury, which have been thought, can be explained even by the injuries in a
brain stem and cerebral limbic system. Moreover, the autopsy example of a fatality after a
severe diffuse axonal injury in a motor vehicle accident is shown in Figure 8. The figure
shows that injuries occur in a corpus callosum and brain stem which are corresponding to the
areas shown in Figure 7. Additionally, even Strich, who suggested that a diffuse axonal injury
causes a consciousness disorder, described that lesions on corpus callosum and inside of
temporal lobe were confirmed as obvious abnormalities in her report(17). These results show
that the essential of a diffuse axonal injury could not be a diffuse brain injury but the injuries
in a brain stem and limbic system.
Table 2 Residual disorder in diffuse axonal injury
Figure 8 The autopsy example of a fatality after a severe diffuse axonal injury
in a motor vehicle accident
(a) 0.0[ms] (b) 8.0[ms] (c) 11.0[ms] (d) 14.0[ms]
Influence of a falx cerebri and tentorium cerebelli
In order to study why greater stresses distribute on specific areas in a brain, a similar
simulation of previous case was conducted. The applied acceleration was the same as
previous simulation but the material properties of a falx cerebri and tentorium cerebelli in the
head model were replaced into CSF’s one. The results of the simulation are shown in Figure 9.
The stress didn’t occur in such areas of previous simulation but the stress did only in a
periphery of the brain. So a diffuse axonal injury could be caused by a falx cerebri and
tentorium cerebelli.
Figure 9 Von-Mises equivalent Stress distribution in a coronal plane of a model
replaced falx cerebri and tentorium cerebelli into CSF [Pa]
CONCLUTIONS
In this research, the simulation of the head subjected to a lateral rotational impact was
conducted to understand the mechanism of the diffuse axonal injury. The obtained result
showed that the greater stress occurred in a brain stem and cerebral limbic system. It was
confirmed that the localizations of brain functions in the greater stress areas correspond to the
residual disorders in a diffuse axonal injury. It is expected that the injury in a brain stem and
cerebral limbic system is the essential of a diffuse axonal injury and the behaviour of a falx
cerebri and tentorium cerebelli could cause the diffuse axonal injury.
ACKNOWLEDGMENT
“High-Tech Research Center” Project for Private Universities : matching fund subsidy from
MEXT (Ministry of Education, Culture, Sports, Science and Technology), 2008.
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