Abstract

This study presents a coupled mathematical surrogate modeling and finite element analysis to quantify the risk of brain injury resulting from contact between a soccer ball and a player's head. Our approach implements a previously developed and validated regulation size finite element soccer ball and a 50th percentile adult male head model to inform the surrogate models regarding the positioning of the soccer ball's impact, inbound velocity, and the role of the activation of the neck musculature. Surrogate models are developed using injury metrics such as HIC15 and BrIC, which can be correlated to clinical assessments. The surrogate models predict occipital-temporal impacts as the highest risk of injury along a perpendicular axis and highlight the risk of increased velocity and passive neck musculature. The surrogate model predicts the worst-case scenarios to produce HIC15 and BrIC values of approximately 80 and 0.65, which correlate to 4.27% of a minor head injury (AIS1) and 71% of a moderate head injury (AIS2), respectively. These models are also used to develop a graphical user interface that may be used to supplement existing clinical knowledge of soccer headings to improve the head health of athletes participating in the game of soccer.

References

1.
Deprez
,
D.
,
Fransen
,
J.
,
Boone
,
J.
,
Lenoir
,
M.
,
Philippaerts
,
R.
, and
Vaeyens
,
R.
,
2015
, “
Characteristics of High-Level Youth Soccer Players: Variation by Playing Position
,”
J. Sports Sci.
,
33
(
3
), pp.
243
254
.10.1080/02640414.2014.934707
2.
Hubertus
,
V.
,
Marklund
,
N.
, and
Vajkoczy
,
P.
,
2019
, “
Management of Concussion in Soccer
,”
Acta Neurochir.
,
161
(
3
), pp.
425
433
.10.1007/s00701-019-03807-6
3.
Andersen
,
T.
,
Arnason
,
A.
,
Engebretsen
,
L.
, and
Bahr
,
R.
,
2004
, “
Mechanisms of Head Injuries in Elite Football
,”
Br. J. Sports Med.
,
38
(
6
), pp.
690
696
.10.1136/bjsm.2003.009357
4.
Dick
,
R.
,
Putukian
,
M.
,
Agel
,
J.
,
Evans
,
T. A.
, and
Marshall
,
S. W.
,
2007
, “
Descriptive Epidemiology of Collegiate Women's Soccer Injuries: National Collegiate Athletic Association Injury Surveillance System
,”
J. Athl. Train.
,
42
(
2
), pp.
278
285
.https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1941298/
5.
Maher
,
M. E.
,
Hutchison
,
M.
,
Cusimano
,
M.
,
Comper
,
P.
, and
Schweizer
,
T. A.
,
2014
, “
Concussions and Heading in Soccer: A Review of the Evidence of Incidence, Mechanisms, Biomarkers and Neurocognitive Outcomes
,”
Brain INJ
,
28
(
3
), pp.
271
285
.10.3109/02699052.2013.865269
6.
Mooney
,
J.
,
Self
,
M.
,
ReFaey
,
K.
,
Elsayed
,
G.
,
Chagoya
,
G.
,
Bernstock
,
J. D.
, and
Johnston
,
J. M.
,
2020
, “
Concussion in Soccer: A Comprehensive Review of the Literature
,”
Concussion
,
5
(
3
), p.
CNC76
.10.2217/cnc-2020-0004
7.
Sortland
,
O.
, and
Tysvaer
,
A. T.
,
1989
, “
Brain Damage in Former Association Football Players. An Evaluation by Cerebral Computed Tomography
,”
Neuroradiology
,
31
(
1
), pp.
44
48
.10.1007/BF00342029
8.
Tysvaer
,
A. T.
,
1992
, “
Head and Neck Injuries in Soccer
,”
Sports Med.
,
14
(
3
), pp.
200
213
.10.2165/00007256-199214030-00006
9.
Tysvaer
,
A. T.
,
Storli
,
O. V.
, and
Bachen
,
N. I.
,
1989
, “
Soccer Injuries to the Brain. A Neurologic and Electroencephalographic Study of Former Players
,”
Acta Neurol. Scand.
,
80
(
2
), pp.
151
156
.10.1111/j.1600-0404.1989.tb03858.x
10.
Ling
,
H.
,
Morris
,
H. R.
,
Neal
,
J. W.
,
Lees
,
A. J.
,
Hardy
,
J.
,
Holton
,
J. L.
,
Revesz
,
T.
, and
Williams
,
D. D. R.
,
2017
, “
Mixed Pathologies Including Chronic Traumatic Encephalopathy Account for Dementia in Retired Association Football (Soccer) Players
,”
Acta Neuropathol.
,
133
(
3
), pp.
337
352
.10.1007/s00401-017-1680-3
11.
Matser
,
E. J.
,
Kessels
,
A. G.
,
Lezak
,
M. D.
,
Jordan
,
B. D.
, and
Troost
,
J.
,
1999
, “
Neuropsychological Impairment in Amateur Soccer Players
,”
JAMA
,
282
(
10
), pp.
971
973
.10.1001/jama.282.10.971
12.
Tysvaer
,
A. T.
, and
Løchen
,
E. A.
,
1991
, “
Soccer Injuries to the Brain. A Neuropsychologic Study of Former Soccer Players
,”
Am. J. Sports Med.
,
19
(
1
), pp.
56
60
.10.1177/036354659101900109
13.
Baugh
,
C. M.
,
Stamm
,
J. M.
,
Riley
,
D. O.
,
Gavett
,
B. E.
,
Shenton
,
M. E.
,
Lin
,
A.
,
Nowinski
,
C. J.
,
Cantu
,
R. C.
,
McKee
,
A. C.
, et al.,
2012
, “
Chronic Traumatic Encephalopathy: Neurodegeneration Following Repetitive Concussive and Subconcussive Brain Trauma
,”
Brain Imaging Behav.
,
6
(
2
), pp.
244
254
.10.1007/s11682-012-9164-5
14.
Withnall
,
C.
,
Shewchenko
,
N.
,
Wonnacott
,
M.
, and
Dvorak
,
J.
,
2005
, “
Effectiveness of Headgear in Football
,”
Br. J. Sports Med.
,
39
(
Suppl 1
), pp.
i40
i48
.10.1136/bjsm.2005.019174
15.
Sanchez
,
E. J.
,
Gabler
,
L. F.
,
Good
,
A. B.
,
Funk
,
J. R.
,
Crandall
,
J. R.
, and
Panzer
,
M. B.
,
2019
, “
A Reanalysis of Football Impact Reconstructions for Head Kinematics and Finite Element Modeling
,”
Clinical Biomechanics
,
64
, pp.
82
89
.10.1016/j.clinbiomech.2018.02.019
16.
Woraratsoontorn
,
P.
, and
Sooraksa
,
P.
,
2012
, “
Development of Finite Element Model for Analysis in the Realistic Human Skull Impact
,”
4th Biomedical Engineering International Conference
, Chiang Mai, Thailand, Jan. 29–31, pp.
36
39
.10.1109/BMEiCon.2012.6172013
17.
Asami
,
T.
,
Nolte
,
V.
,
Matsui
,
H.
, and
Kobayashi
,
K.
,
1983
, “
Biomechanics VIII-B
,”
Human Kinetics,
Champaign, IL
.
18.
Nunome
,
H.
,
IkegamI
,
Y.
,
Kozakai
,
R.
,
Apriantono
,
T.
, and
Sano
,
S.
,
2006
, “
Segmental Dynamics of Soccer Instep Kicking With the Preferred and Non-Preferred Leg
,”
J. Sports Sci.
,
24
(
5
), pp.
529
541
.10.1080/02640410500298024
19.
Radja
,
A.
,
Erceg
,
M.
, and
Grgantov
,
Z.
,
2016
, “
Inter and Intra Positional Differences in Ball Kicking Between U-16 Croatian Soccer Players
,”
Montenegrin J. Sports Sci. Med.
,
5
(
2
), p.
11
.https://www.researchgate.net/publication/309193596_Inter_and_Intra_Positional_Differences_in_Ball_Kicking_Between_U-16_Croatian_Soccer_Players
20.
Eckner
,
J. T.
,
Oh
,
Y. K.
,
Joshi
,
M. S.
,
Richardson
,
J. K.
, and
Ashton-Miller
,
J. A.
,
2014
, “
Effect of Neck Muscle Strength and Anticipatory Cervical Muscle Activation on the Kinematic Response of the Head to Impulsive Loads
,”
Am. J. Sports Med.
,
42
(
3
), pp.
566
576
.10.1177/0363546513517869
21.
Signoretti
,
S.
,
Lazzarino
,
G.
,
Tavazzi
,
B.
, and
Vagnozzi
,
R.
,
2011
, “
The Pathophysiology of Concussion
,”
PMR
,
3
(
Suppl 2
), pp.
S359
S368
.10.1016/j.pmrj.2011.07.018
22.
Al-Kashmiri
,
A.
, and
Delaney
,
J. S.
,
2006
, “
Head and Neck Injuries in Football (Soccer)
,”
Trauma
,
8
(
3
), pp.
189
195
.10.1177/1460408606071144
23.
Mihalik
,
J. P.
,
Blackburn
,
J. T.
,
Greenwald
,
R. M.
,
Cantu
,
R. C.
,
Marshall
,
S. W.
, and
Guskiewicz
,
K. M.
,
2010
, “
Collision Type and Player Anticipation Affect Head Impact Severity Among Youth Ice Hockey Players
,”
Pediatrics
,
125
(
6
), pp.
e1394
e1401
.10.1542/peds.2009-2849
24.
Jin
,
X.
,
Feng
,
Z.
,
Mika
,
V.
,
Li
,
H.
,
Viano
,
D. C.
, and
Yang
,
K. H.
,
2017
, “
The Role of Neck Muscle Activities on the Risk of Mild Traumatic Brain Injury in American Football
,”
ASME J. Biomech. Eng.
,
139
(
10
), p. 101002.10.1115/1.4037399
25.
Ntikas
,
M.
,
Binkofski
,
F.
,
Shah
,
N. J.
, and
Ietswaart
,
M.
,
2022
, “
Repeated Sub-Concussive Impacts and the Negative Effects of Contact Sports on Cognition and Brain Integrity
,”
IJERPH
,
19
(
12
), p.
7098
.10.3390/ijerph19127098
26.
Perkins
,
R. A.
,
Bakhtiarydavijani
,
A.
,
Ivanoff
,
A. E.
,
Jones
,
M.
,
Hammi
,
Y.
, and
Prabhu
,
R. K.
,
2022
, “
Assessment of Brain Injury Biomechanics in Soccer Heading Using Finite Element Analysis
,”
Brain Multiphys.
,
3
, p.
100052
.10.1016/j.brain.2022.100052
27.
Bakhtiarydavijani
,
A.
,
Khalid
,
G.
,
Murphy
,
M. A.
,
Johnson
,
K. L.
,
Peterson
,
L. E.
,
Jones
,
M.
,
Horstemeyer
,
M. F.
,
Dobbins
,
A. C.
, and
Prabhu
,
R. K.
,
2021
, “
A Mesoscale Finite Element Modeling Approach for Understanding Brain Morphology and Material Heterogeneity Effects in Chronic Traumatic Encephalopathy
,”
Comput. Methods Biomech. Biomed. Eng.
,
24
(
11
), pp.
1169
1183
.10.1080/10255842.2020.1867851
28.
Fagan
,
B. T.
,
Satapathy
,
S. S.
,
Rutledge
,
J. N.
, and
Kornguth
,
S. E.
,
2020
, “
Simulation of the Strain Amplification in Sulci Due to Blunt Impact to the Head
,”
Front. Neurol.
,
11
, p.
998
.10.3389/fneur.2020.00998
29.
Noël
,
L.
, and
Kuhl
,
E.
,
2019
, “
Modeling Neurodegeneration in Chronic Traumatic Encephalopathy Using Gradient Damage Models
,”
Comput. Mech.
,
64
(
5
), pp.
1375
1387
.10.1007/s00466-019-01717-z
30.
Bruneau
,
D. A.
, and
Cronin
,
D. S.
,
2021
, “
Brain Response of a Computational Head Model for Prescribed Skull Kinematics and Simulated Football Helmet Impact Boundary Conditions
,”
J. Mech. Behav. Biomed. Mater.
,
115
, p.
104299
.10.1016/j.jmbbm.2020.104299
31.
Ghajari
,
M.
,
Hellyer
,
P. J.
, and
Sharp
,
D. J.
,
2017
, “
Computational Modelling of Traumatic Brain Injury Predicts the Location of Chronic Traumatic Encephalopathy Pathology
,”
Brain
,
140
(
2
), pp.
333
343
.10.1093/brain/aww317
32.
Ho
,
J.
,
Zhou
,
Z.
,
Li
,
X.
, and
Kleiven
,
S.
,
2017
, “
The Peculiar Properties of the Falx and Tentorium in Brain Injury Biomechanics
,”
J. Biomech.
,
60
, pp.
243
247
.10.1016/j.jbiomech.2017.06.023
33.
Perkins
,
R. A.
,
Bakhtiarydavijani
,
A.
, and
Prabhu
,
R.
, “
Assessment of Soccer Ball Inflation Pressurizations and Risk of Brain Injury
,”
ASME
Paper No. IMECE2022-89701.10.1115/IMECE2022-89701
34.
Zhang
,
L.
,
Yang
,
K.
,
King
,
A.
, and
Viano
,
D.
,
2003
, “
A New Biomechanical Predictor For Mild Traumatic Brain Injury-A Preliminary Finding
,”
Summer Bioengineering Conference
, Sonesta Beach Resort in Key Biscayne, FL, June 25–29, pp.
137
139
.https://www.researchgate.net/publication/285070489_A_new_biomechanical_predictor_for_mild_traumatic_brain_injury_-_a_preliminary_finding
35.
Zhang
,
L.
,
Yang
,
K. H.
, and
King
,
A. I.
,
2001
, “
Comparison of Brain Responses Between Frontal and Lateral Impacts by Finite Element Modeling
,”
J. Neurotrauma
,
18
(
1
), pp.
21
30
.10.1089/089771501750055749
36.
Hassan
,
M. H. A.
, and
Taha
,
Z.
,
2015
, “
Finite Element Analysis of Soccer Heading
,”
Procedia Eng.
,
112
, pp.
46
51
.10.1016/j.proeng.2015.07.174
37.
Ponce
,
E.
,
Ponce
,
D.
, and
Andresen
,
M.
,
2014
, “
Modeling Heading in Adult Soccer Players
,”
IEEE Comput. Graph. Appl.
,
34
(
5
), pp.
8
13
.10.1109/MCG.2014.96
38.
Taha
,
Z.
, and
Hassan
,
M. H. A.
,
2016
, “
Parametric Analysis of the Influence of Elastomeric Foam on the Head Response During Soccer Heading Manoeuvre
,”
Procedia Eng.
,
147
, pp.
139
144
.10.1016/j.proeng.2016.06.203
39.
Zhou
,
Y. J.
,
Lu
,
G.
, and
Yang
,
J. L.
,
2015
, “
Finite Element Study of Energy Absorption Foams for Headgear in Football (Soccer) Games
,”
Mater. Des.
,
88
, pp.
162
169
.10.1016/j.matdes.2015.08.120
40.
Barbat
,
S.
,
Li
,
X.
, and
Prasad
,
P.
,
2007
, “
Vehicle-to-Vehicle Front-to-Side Crash Compatibility Analysis Using a CAE Based Methodology
,” accessed Aug. 15, 2021, https://trid.trb.org/view/1367995
41.
Berthelson
,
P. R.
,
Ghassemi
,
P.
,
Wood
,
J. W.
,
Stubblefield
,
G. G.
,
Al-Graitti
,
A. J.
,
Jones
,
M. D.
,
Horstemeyer
,
M. F.
,
Chowdhury
,
S.
, and
Prabhu
,
R. K.
, May
2021
, “
A Finite Element–Guided Mathematical Surrogate Modeling Approach for Assessing Occupant Injury Trends Across Variations in Simplified Vehicular Impact Conditions
,”
Med. Biol. Eng. Comput.
,
59
(
5
), pp.
1065
1079
.10.1007/s11517-021-02349-3
42.
Hamza
,
K.
, and
Saitou
,
K.
,
2008
, “
Vehicle Crashworthiness Design Via a Surrogate Model Ensemble and a Co-Evolutionary Genetic Algorithm
,”
ASME
Paper No. DETC2005-84965.10.1115/DETC2005-84965
43.
Kodiyalam
,
S.
,
Yang
,
R. J.
, and
Gu
,
L.
,
2004
, “
High Performance Computing and Surrogate Modeling for Rapid Visualization With Multidisciplinary Optimization
,”
AIAA J.
,
42
(
11
), pp.
2347
2354
.10.2514/1.1997
44.
Fang
,
R.
,
Ji
,
A.
,
Zhao
,
Z.
,
Long
,
D.
, and
Chen
,
C.
,
2020
, “
A Regression Orthogonal Biomechanical Analysis of Internal Fixation for Femoral Shaft Fracture
,”
Biocybern. Biomed. Eng.
,
40
(
3
), pp.
1277
1290
.10.1016/j.bbe.2020.07.006
45.
Johnson
,
K. L.
,
Chowdhury
,
S.
,
Lawrimore
,
W. B.
,
Mao
,
Y.
,
Mehmani
,
A.
,
Prabhu
,
R.
,
Rush
,
G. A.
, and
Horstemeyer
,
M. F.
,
2016
, “
Constrained Topological Optimization of a Football Helmet Facemask Based on Brain Response
,”
Mater. Des.
,
111
, pp.
108
118
.10.1016/j.matdes.2016.08.064
46.
Miller
,
L. E.
,
Urban
,
J. E.
, and
Stitzel
,
J. D.
,
2016
, “
Development and Validation of an Atlas-Based Finite Element Brain Model
,”
Biomech. Model Mechanobiol.
,
15
(
5
), pp.
1201
1214
.10.1007/s10237-015-0754-1
47.
Ren
,
L.
,
Li
,
G.
,
Baumgartner
,
D.
,
Jiang
,
C.
, and
Hu
,
Y.
,
2017
, “
Development of a Visco-Hyperelastic Constitutive Law for Brain Tissue Based on Finite Element Simulation and Optimization Methodology
,” 9th International Conference on Measuring Technology and Mechatronics Automation (
ICMTMA
), Changsha, China, Jan. 14–15, pp.
279
282
.10.1109/ICMTMA.2017.0074
48.
Zhu
,
F.
,
Kalra
,
A.
,
Saif
,
T.
,
Yang
,
Z.
,
Yang
,
K. H.
, and
King
,
A. I.
,
2016
, “
Parametric Analysis of the Biomechanical Response of Head Subjected to the Primary Blast Loading—a Data Mining Approach
,”
Comput. Methods Biomech. Biomed. Eng.
,
19
(
10
), pp.
1053
1059
.10.1080/10255842.2015.1091887
49.
Menichetti
,
A.
,
Bartsoen
,
L.
,
Depreitere
,
B.
,
Vander Sloten
,
J.
, and
Famaey
,
N.
,
2021
, “
A Machine Learning Approach to Investigate the Uncertainty of Tissue-Level Injury Metrics for Cerebral Contusion
,”
Front. Bioeng. Biotechnol.
,
9
, p.
714128
.10.3389/fbioe.2021.714128
50.
Wimmer
,
P.
,
Benedikt
,
M.
,
Huber
,
P.
, and
Ferenczi
,
I.
,
2015
, “
Fast Calculating Surrogate Models for Leg and Head Impact in Vehicle–Pedestrian Collision Simulations
,”
Traffic Injury Prev.
,
16
(
sup1
), pp.
S84
S90
.10.1080/15389588.2015.1014902
51.
Shim
,
V. B.
,
Holdsworth
,
S.
,
Champagne
,
A. A.
,
Coverdale
,
N. S.
,
Cook
,
D. J.
,
Lee
,
T.-R.
,
Wang
,
A. D.
,
Li
,
S.
, and
Fernandez
,
J. W.
,
2020
, “
Rapid Prediction of Brain Injury Pattern in mTBI by Combining FE Analysis With a Machine-Learning Based Approach
,”
IEEE Access
,
8
, pp.
179457
179465
.10.1109/ACCESS.2020.3026350
52.
Jin
,
R.
,
Chen
,
W.
, and
Sudjianto
,
A.
,
2005
, “
An Efficient Algorithm for Constructing Optimal Design of Computer Experiments
,”
J. Stat. Plann. Inference
,
134
(
1
), pp.
268
287
.10.1016/j.jspi.2004.02.014
53.
Saab
,
Y. G.
, and
Rao
,
V. B.
,
1991
, “
Combinatorial Optimization by Stochastic Evolution
,”
IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst.
,
10
(
4
), pp.
525
535
.10.1109/43.75636
54.
Prabhu
,
R.
,
Whittington
,
W. R.
,
Patnaik
,
S. S.
,
Mao
,
Y.
,
Begonia
,
M. T.
,
Williams
,
L. N.
,
Liao
,
J.
, and
Horstemeyer
,
M. F.
,
2015
, “
A Coupled Experiment-Finite Element Modeling Methodology for Assessing High Strain Rate Mechanical Response of Soft Biomaterials
,”
JoVE
, (
99
), p.
51545
.10.3791/51545
55.
Prabhu
,
R.
,
Horstemeyer
,
M. F.
,
Tucker
,
M. T.
,
Marin
,
E. B.
,
Bouvard
,
J. L.
,
Sherburn
,
J. A.
,
Liao
,
J.
, and
Williams
,
L. N.
,
2011
, “
Coupled Experiment/Finite Element Analysis on the Mechanical Response of Porcine Brain Under High Strain Rates
,”
J. Mech. Behav. Biomed. Mater.
,
4
(
7
), pp.
1067
1080
.10.1016/j.jmbbm.2011.03.015
56.
Nahum
,
A. M.
,
Smith
,
R.
, and
Ward
,
C. C.
,
1977
, “
Intracranial Pressure Dynamics During Head Impact
,”
SAE
Paper No. 770922.10.4271/770922
57.
Hardy
,
W. N.
,
Foster
,
C. D.
,
Mason
,
M. J.
,
Yang
,
K. H.
,
King
,
A. I.
, and
Tashman
,
S.
,
2001
, “
Investigation of Head Injury Mechanisms Using Neutral Density Technology and High-Speed Biplanar X-Ray
,”
SAE
Paper No. 2001-22-0016.10.4271/2001-22-0016
58.
Tran
,
A. V.
,
Hoang
,
Q. H.
,
Nguyen
,
A. T.
,
Le Van
,
T.
,
Le
.,
V. K.
, and
Pham
,
T. V. H.
,
2019
, “
The Models of Relationship Between Center of Gravity of Human and Weight, Height and 3 Body's Indicators (Chest, Waist and Hip)
,”
J. Sci. Technol.
,
139
, pp.
57
61
.http://eprints.uet.vnu.edu.vn/eprints/id/eprint/3913
59.
Damavandi
,
M.
,
Allard
,
P.
,
Barbier
,
F.
,
Leboucher
,
J.
,
Rivard
,
C.
, and
Farahpour
,
N.
,
2022
, “
Estimation of Whole Body Moment of Inertia Using Self-Imposed Oscillations
,” accessed June 11, 2022, https://www.semanticscholar.org/paper/Estimation-of-Whole-Body-Moment-of-Inertia-Using-Damavandi-Allard/edf32ba11338015c1af1346518371ba5e897105b
60.
National Highway Traffic Safety Administration
,
1972
, “
Occupant Crash Protection Head Injury Criterion
,” S62 of FMVSS 571.208,
National Highway Traffic Safety Administration
,
Washington, DC
.
61.
Takhounts
,
E. G.
,
Craig
,
M. J.
,
Moorhouse
,
K.
,
McFadden
,
J.
, and
Hasija
,
V.
,
2013
, “
Development of Brain Injury Criteria (BrIC)
,”
SAE
Paper No. 2013-22-0010.10.4271/2013-22-0010
62.
Zhang
,
L.
,
Yang
,
K. H.
, and
King
,
A. I.
, May
2004
, “
A Proposed Injury Threshold for Mild Traumatic Brain Injury
,”
ASME J. Biomech. Eng.
,
126
(
2
), pp.
226
236
.10.1115/1.1691446
63.
Durantin
,
C.
,
Rouxel
,
J.
,
Désidéri
,
J.-A.
, and
Glière
,
A.
,
2017
, “
Multifidelity Surrogate Modeling Based on Radial Basis Functions
,”
Struct. Multidiscip. Optim.
,
56
(
5
), pp.
1061
1075
.10.1007/s00158-017-1703-7
64.
Fang
,
H.
, and
Horstemeyer
,
M. F.
,
2006
, “
Global Response Approximation With Radial Basis Functions
,”
Eng. Optim.
,
38
(
4
), pp.
407
424
.10.1080/03052150500422294
65.
Rajaguru
,
P.
,
Stoyanov
,
S.
,
Lu
,
H.
, and
Bailey
,
C.
,
2013
, “
Application of Kriging and Radial Basis Function for Reliability Optimization in Power Modules
,”
ASME J. Electron. Packag.
,
135
(
2
), p.
021009
.10.1115/1.4024056
66.
Tomáš
,
M.
,
František
,
Z.
,
Lucia
,
M.
, and
Jaroslav
,
T.
,
2014
, “
Profile, Correlation and Structure of Speed in Youth Elite Soccer Players
,”
J. Hum. Kinet.
,
40
(
1
), pp.
149
159
.10.2478/hukin-2014-0017
67.
Wee
,
H.
,
Reid
,
J. S.
,
Chinchilli
,
V. M.
, and
Lewis
,
G. S.
,
2017
, “
Finite Element-Derived Surrogate Models of Locked Plate Fracture Fixation Biomechanics
,”
Ann Biomed. Eng.
,
45
(
3
), pp.
668
680
.10.1007/s10439-016-1714-3
68.
Post
,
A.
,
Hoshizaki
,
B.
, and
Gilchrist
,
M. D.
,
2012
, “
Finite Element Analysis of the Effect of Loading Curve Shape on Brain Injury Predictors
,”
J. Biomech.
,
45
(
4
), pp.
679
683
.10.1016/j.jbiomech.2011.12.005
69.
Sahoo
,
D.
,
Deck
,
C.
, and
Willinger
,
R.
,
2016
, “
Brain Injury Tolerance Limit Based on Computation of Axonal Strain
,”
Accident Anal. Prev.
,
92
, pp.
53
70
.10.1016/j.aap.2016.03.013
70.
Elkin
,
B. S.
,
Gabler
,
L. F.
,
Panzer
,
M. B.
, and
Siegmund
,
G. P.
,
2019
, “
Brain Tissue Strains Vary With Head Impact Location: A Possible Explanation for Increased Concussion Risk in Struck Versus Striking Football Players
,”
Clin. Biomech.
,
64
, pp.
49
57
.10.1016/j.clinbiomech.2018.03.021
71.
Walsh
,
E. S.
,
Rousseau
,
P.
, and
Hoshizaki
,
T. B.
,
2011
, “
The Influence of Impact Location and Angle on the Dynamic Impact Response of a Hybrid III Headform
,”
Sports Eng.
,
13
(
3
), pp.
135
143
.10.1007/s12283-011-0060-9
72.
Bruneau
,
D. A.
, and
Cronin
,
D. S.
,
2019
, “
Head and Neck Response of an Active Human Body Model and Finite Element Anthropometric Test Device During a Linear Impactor Helmet Test
,”
ASME J. Biomech. Eng.
,
142
(
2
), p.
021004
.10.1115/1.4043667
73.
Kirkendall
,
D. T.
,
Jordan
,
S. E.
, and
Garrett
,
W. E.
,
2001
, “
Heading and Head Injuries in Soccer
,”
Sports Med.
,
31
(
5
), pp.
369
386
.10.2165/00007256-200131050-00006
74.
Dezman
,
Z. D. W.
,
Ledet
,
E. H.
, and
Kerr
,
H. A.
,
2013
, “
Neck Strength Imbalance Correlates With Increased Head Acceleration in Soccer Heading
,”
Sports Health
,
5
(
4
), pp.
320
326
.10.1177/1941738113480935
75.
Auger
,
J.
,
Markel
,
J.
,
Pecoski
,
D. D.
,
Leiva-Molano
,
N.
,
Talavage
,
T. M.
,
Leverenz
,
L.
,
Shen
,
F.
, and
Nauman
,
E. A.
,
2020
, “
Factors Affecting Peak Impact Force During Soccer Headers and Implications for the Mitigation of Head Injuries
,”
PLoS ONE
,
15
(
10
), p.
e0240162
.10.1371/journal.pone.0240162
76.
Funk
,
J. R.
,
Cormier
,
J. M.
,
Bain
,
C. E.
,
Guzman
,
H.
,
Bonugli
,
E.
, and
Manoogian
,
S. J.
,
2011
, “
Head and Neck Loading in Everyday and Vigorous Activities
,”
Ann. Biomed. Eng.
,
39
(
2
), pp.
766
776
.10.1007/s10439-010-0183-3
77.
Naunheim
,
R. S.
,
Ryden
,
A.
,
Standeven
,
J.
,
Genin
,
G.
,
Lewis
,
L.
,
Thompson
,
P.
, and
Bayly
,
P.
,
2003
, “
Does Soccer Headgear Attenuate the Impact When Heading a Soccer Ball?
,”
Acad. Emerg. Med.
,
10
(
1
), pp.
85
90
.10.1197/aemj.10.1.85
78.
Queen
,
R. M.
,
Weinhold
,
P. S.
,
Kirkendall
,
D. T.
, and
Yu
,
B.
,
2003
, “
Theoretical Study of the Effect of Ball Properties on Impact Force in Soccer Heading
,”
Med. Sci. Sports Exercise
,
35
(
12
), pp.
2069
2076
.10.1249/01.MSS.0000099081.20125.A5
79.
Miller
,
L.
,
Gaewsky
,
J.
,
Weaver
,
A.
,
Stitzel
,
J.
, and
White
,
N.
,
2016
, “
Regional Level Crash Induced Injury Metrics Implemented Within THUMS v4.01
,” Technical Paper No. 2016-01-1489.10.4271/2016-01-1489
80.
Perkins
,
R. A.
,
Gallo
,
C. A.
,
Ivanoff
,
A. E.
,
Yates
,
K. M.
,
Schkurko
,
C. M.
,
Somers
,
J. T.
,
Newby
,
N. J.
,
Myers
,
J. G.
, Jr.
, and
Prabhu
,
R. K.
,
2023
, “
Modeling and Simulation Credibility Assessments of Whole-Body Finite Element Computational Models for Use in NASA Extravehicular Activity Applications
,”
Comput. Methods Biomech. Biomed. Eng.
, pp.
1
14
.10.1080/10255842.2023.2293653
You do not currently have access to this content.