Gait Analysis of Wittenberg s Women s Basketball Team: The Relationship between Shoulder Movement and Injuries

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Gait Analysis of Wittenberg s Women s Basketball Team: The Relationship between Shoulder Movement and Injuries Katie Bondy Senior Presentation May 1 st 2013

Research Question Among basketball players, lower body injuries are highly common. Can these injuries be observed in the motion of the shoulder when walking?

Outline Background Gait Analysis Experimental Set-Up Calculations Simple Pendulum/ Shoulder movement Analysis Normal vs. Injured Future Work

Background Models of Gait Analysis

Gait Analysis Walking Both feet touch the ground Gait The pattern of movement of the limbs of humans Gait Analysis Study of how human s walk Medical research and sports performance Figure 1: Model of one full gait cycle.

Model of Walking Gait: Full body movement Extended Position Recoiled Position Passing Position Falling Position Extended Position

Head-on view Overhead view Relationship with Hip Movement in Walking Figure 2: Top view of hip movement showing how shoulder movement relates to hip rotation. As the back leg (black arrow) is back, the opposite shoulder (green arrow) is swinging forward.

Model of Walking Gait: Shoulder Movement Initial Position Reach and Grasp Target Reach and Release Return Upright Posture Extended Arm and Target Gap Flex Arm and Target Extend Arm and Target Release Retract Arm Figure 3: Shoulder movement in walking. The pattern of the movement forms a sinusoidal wave.

Experimental Design Figure 4: Model of Data Collection Bands were located on the shoulder, elbow, hand, hip, knee, and ankle. The length of shoulder to hand and shoulder to elbow was also measured. Table 1: Out of the 12 girls tested, only 7 girls stated injuries in the lower body. Control 2 Right 2 Left 2 Both 3 Outliers 3

Common Injuries Seen Upper Body Back injuries Spina Bifida Broken back Broken wrist Concussions Lower Body Knee MCL and ACL Ankle Sprain Hip Tear

Calculations Simple Pendulums

Ball and Socket Joint to Pendulum Pivot points Pivot Point l Lever θ θ Figure 5: Model of a ball and socket joint. Figure 6: Model of right arm movement with length l, and arm angle θ.

Geometry of Shoulder Movement Motion of various body parts was tracked using Tracker Angle of the elbow relative to the shoulder Angular displacement y θ = θ max sin g l t Shoulder x tan 1 x y interest interest x y pivot pivot Equation 1: Arm angle analysis Arm Angle Elbow/ Hand Figure 7: Geometry of upper body movement.

Analysis With Tracker Program Figure 8: Showing the motion of the shoulder (red), elbow (yellow) etc. during walking. The insert shows the geometry that is used for examining the motion of the elbow relative to the shoulder.

Analysis Normal to Injured Gaits

Control Group Figure 9: Diagram of a normal walking gait. The right leg (black) and the left arm (red) show the counterbalance between steps.

lower (radians) L upper (radians) R upper (radians) -1.40-1.50-1.60-1.70-1.50-1.2-1.55-1.3-1.4-1.60-1.5-1.65-1.7-1.70 er (radians) -1.6-1.7-1.8 0.0 0.5 1.0 Time (s) Control Group Figure 10: Comparison between the upper half of the arm movement: shoulder as the reference point to the elbow. 1.5 2.0 2.5

Results of the Control Table 2: Comparison between arm location and their corresponding arm frequency in an non-injured athlete. Arm Location Frequency Right Elbow 6.13 ± 0.04 Left Elbow 6.07 ±0.05 Right Hand 6.14 ±.0.04 Left Hand 6.13 ± 0.03 No injuries are present: the frequencies are within standard deviation Model of simple pendulum is accurate

Results of Right Side Injury Table 3: Comparison between arm location and their corresponding arm frequency in right knee injury. Arm Location Frequency Right Elbow 6.49 ± 0.02 Left Elbow 7.04 ± 0.05 Right Hand 6.48 ± 0.01 Left Hand 6.99 ± 0.02

Results of Left Knee Side Injury Table 4: Comparison between arm location and their corresponding arm frequency in left knee injury. Arm Location Frequency Right Elbow 5.71± 0.05 Left Elbow 5.52 ±0.03 Right Hand 5.83 ± 0.02 Left Hand 5.50 ± 0.02

Frequency Major Results: Comparison with Data sets to Control 7.0 6.8 6.6 Key Black Triangles (L knee) Green bow tie (L ankle) Purple boxes (R ankle) Red boxes (R knee) 6.4 6.2 6.0 Right Left 5.8 5.6 Left Left and Right Shoulder Right

Conclusion Simple harmonic motion Sinusoidal movement Body size plays a key role in arm movement Frequencies should be equal in a normal gaits Lower body injuries implies overcompensation Medical uses to help increase sport performance

Acknowledgements Dr. Jeremiah Williams Wittenberg s Women s Basketball team Coach Jurewicz

Future Work Study the relationship between lower body movement and lower body injuries The relationship between upper body injuries and arm movement Relationship between walking and running with Tracker program When and where is the injury most commonly found

References Brown, D. 2009.Computer Program TRACKER VIDEO ANALYSIS AND MODELING TOOL, Version 4.80 WWW Document, (http://www.cabrillo.edu/-dbrown/tracker/). Heck, A. 2002. Mathematics and Physics of Walking. COACH. AMSTEL Institute Srinivasan, M. and Ruina, A. 2005. Computer optimization of a minimal biped model discovers walking and running. Nature 439, 72-75.

Questions

Simple Pendulum Equations Period (Equation 1) T = 2π L g T = period Angular displacement (Equation 2) θ = θ max sin g l t F = 1 T L is length G is gravity 9.8 m s 2

Shoulder movement with a Left Knee Injury R upper (radians) R lower (radians) -0.8-1.2-1.6-2.0-2.4-0.8-1.2-1.6-2.0 0.0 0.5 1.0 1.5 Time (s) Figure : Showing a sinusoidal relationship, the right arm movement has a larger amplitude between the shoulder to elbow than the elbow to hand. 2.0 2.5 3.0 R upper (radians) R lower (radians) -0.8-1.2-1.6-2.0-2.4-0.8-1.2-1.6-2.0 0.0 0.5 1.0 1.5 Time (s) Figure : The movement in the left arm displays a sinusoidal pattern. The upper graph is the relationship between the shoulder and elbow and the lower graph displays the elbow to hand relationship. 2.0 2.5 3.0

lower L (radians) upper L (radians) hand R (radians) elbow R (radians) Shoulder movement with a Right Knee Injury -1.2-1.4-1.6-1.8-2.0-1.0-1.2-1.4-1.6-1.8-2.0 0.0 0.5 1.0 Time (s) Figure : Showing a sinusoidal relationship, the right arm movement has a larger amplitude between the shoulder to elbow than the elbow to hand. 1.5 2.0 2.5-1.0-1.2-1.4-1.6-1.8-2.0-1.0-1.2-1.4-1.6-1.8-2.0 0.0 0.5 1.0 Time (s) Figure : The movement in the left arm displays a sinusoidal pattern. The upper graph is the relationship between the shoulder and elbow and the lower graph displays the elbow to hand relationship. 1.5 2.0 2.5