Manuscript Title: Biomechanics of Subdural Hemorrhage in American Football Names/Degrees of Coauthors: Jonathan A. Forbes, M.D.1 Thomas J. Withrow, Ph.D.2 Erwin Yap, B.E1 Adib A. Abla, M.D.3 Joseph S. Cheng, M.D.1 Reid Thompson, M.D.1 Allen Sills, M.D.1 Department/Institution of Coauthors: Department of Neurological Surgery1 Vanderbilt University Medical Center Nashville, Tennessee, USA Department of Mechanical Engineering2 Vanderbilt University Nashville, Tennessee, USA Department of Neurological Surgery3 Barrow Neurological Institute Phoenix, Arizona, USA Corresponding Author: Jonathan A. Forbes 915 9th Avenue North Nashville, TN 37208 Telephone: (615) 416.2801 Fax: (615) 343.8104 Email: jonathan.forbes@vanderbilt.edu Reprint Requests: Reid Thompson Department of Neurological Surgery 1161 21st Avenue S., Rm. T4224 MCN Vanderbilt University Medical Center Nashville, TN 37232-2380 Key Words: biomechanics, subdural hemorrhage, American football, rotational, translational, acceleration Running Head: Biomechanics of SDH in American Football Financial Support: N/A Presentation Note: A portion of this work was presented on 21 August, 2010 at the Annual Meeting of the Tennessee Neurosurgical Society in Memphis, TN Conflict of Interest Statement: The authors have no conflict of interests to report. Acknowledgements: The authors would like to thank Mark Kroenig B.E. for his assistance with principles of engineering on this paper. Disclosure: The authors report no conflicts of interest concerning the materials or methods used in this study or the findings specified in this paper. Abstract BACKGROUND: Since 1945, over 350 American football players have died from subdural hemorrhage (SDH) following helmeted collisions. OBJECTIVE: To utilize a case illustration and discussion of the literature to characterize the biomechanical factors associated with SDH following helmeted collisions in American football. METHODS: The English literature was reviewed in search of scholarly articles describing the material properties of bridging veins (BVs), thresholds of rotational/translational acceleration associated with BV rupture and SDH, and the rotational/translational accelerations observed during peak impact conditions at all levels of American football. RESULTS: Cadaveric studies indicate that BV rupture occurs when the vessel is stretched to approximately 150% of its resting length. Because accurate measurement of tensile strain of BVs during helmeted impacts is not feasible, alternative parameters such as head acceleration have been tracked. Previous studies have demonstrated rotational acceleration (RA) to be a much greater risk factor for development of SDH than translational acceleration (TA). Based on previous cadaveric studies, the threshold of RA required to result in BV rupture for the average duration of a helmeted collision in the NFL (15 ms) is thought to approximate 4,500-10,000 rad/s2. This figure overlaps with RAs incurred during peak impact conditions in American football—in part, explaining why approximately 6 catastrophic head injuries occur in high school and college level football every year. CONCLUSION: Modification of the current helmet quality assurance standard to include limits on RA would be expected to decrease the present incidence of catastrophic head injury at the high-school and collegiate levels in American football. Introduction Since the inception of the sport in 1869, American football players have suffered head injuries related to the physical nature of the game. During the first 36 years American football was played, 18 deaths were recorded1. In response to these injuries, President Roosevelt called together members of academic institutions across the country to reevaluate rules of the sport in 1905 and the American Football Rules Committee was born2. Following this meeting and others like it, general knowledge about the state of catastrophic injuries in the game of football has progressively advanced. Since 1931, football-related deaths have been recorded annually3. Review of data collected from the time period of 1945 to 1994 by Cantu et al. demonstrated subdural hemorrhage (SDH) to be responsible for the majority of fatalities in American football. Specifically, 352 of 684 fatalities during this time period were secondary to SDH. Equipment design in football has influenced the incidence of catastrophic injuries since the sentinel years of the sport in the late 19th century. Helmet use became mandatory in the NCAA in 1939 and the NFL in 19404. The introduction of plastic helmets in the late 1940s and the addition of the facemask in the 1950s afforded increased protection to the head, but also led to unanticipated changes in behavior and/or technique—with initial contact now more frequently being made with the helmet3. Consequently, the incidence of brain-injury related fatalities peaked during the 5-year span from 1965 to 1969. In response, the National Operating Committee on Standards for Athletic Equipment (NOCSAE) was founded in 1969 and the first safety standards for helmets were implemented in 1973. Under the auspices of NOCSAE, the NCAA set forth rules to prevent the use of the crown of the helmet as the initial point of contact in 1975. Standards regarding the energy attenuating properties of helmets were expanded to college football in 1978 and to high school football in 1980. Certification of helmets by NOCSAE soon after the new standards were implemented resulted in a 50% decrease in the severity index (SI) score—a measure of translational acceleration of the head in response to fixed impact parameters5—in comparison to the era prior to helmet certification. As a result of these actions, the incidence of brain-injury related deaths during the five-year period from 1985 to 1989 decreased approximately 79% when compared to the period of time from 1965 to 19693. At the present time, all high school and college football players wear helmets meeting NOCSAE standards. Despite initial hope that regulatory changes and technological advances would eliminate catastrophic head injury entirely, the decrease in brain-injury related fatalities in American football realized after the creation of NOCSAE appears to have largely plateaued. While the 5-year period from 1990 to 1994 was the safest in the 20th century with a total of 9 brain-injury related deaths, this number increased to 25 brain-injury related fatalities—all secondary to SDH—from 1994 to 1999. In a separate review of high school and collegiate football players, the incidence of catastrophic head injury from 2000-2002 (6/year) was similar to the incidence from 1990-2000 (7.2/year)6. 94% of the catastrophic head injuries between 1990 and 2002 involved subdural hematoma. As evidenced by the curious observation that the incidence of catastrophic head injury appears to be approximately 3.3 times higher in high school athletes than college athletes6, the occurrence of subdural hematoma in football is a multifactorial phenomenon that relates to more than just the mass and velocity of the players involved. Recent advances in the characterization of brain motion and vessel strain required for SDH formation have improved our knowledge of this pathophysiologic entity. Additionally, incremental advances in helmet assessment7-8 allow for precise characterization of the rotational and translational accelerations that are reached with standard and elite high school and collegiate level impact parameters. While reports of SDH related to helmeted collisions in American football have been described in the past,9,10 to the authors’ knowledge this report is the first to discuss the biomechanics of SDH formation specifically as the concept relates to American football. The literature regarding the incidence and biomechanics of this injury is reviewed and future measures for prevention are discussed. Case Illustration History and Examination. A 17 year-old male initially presented to the Vanderbilt Children’s Hospital Emergency Department (ED) approximately 60 hours following a helmet-to-helmet collision at football practice that was negative for loss of consciousness. The collision described by the patient occurred during a tackling drill in which he was struck just to the left of midline at mid-facemask level while carrying the ball. The initial contact was reportedly made with the crown of the opposing player’s helmet. Witness reports indicated the struck player’s head snapped back in extension immediately following the impact. When asked about previous collisions, the player responded that he had suffered another high-impact collision as the striking player in a similar tackling drill approximately 4 days prior to the second collision (6.5 days prior to presentation). However, the patient denied any significant associated symptoms following the first collision. There was no other reported history of head trauma in the preceding weeks. During the initial 48-hour time period following the second collision, the patient complained of a moderate to severe headache. When he awoke on the second day following the collision, the headache had progressed in severity and was associated with significant nausea. The pain progressively worsened throughout the day and his father took him to the ED that evening. In the ED, a non-contrast CT scan of the head was accomplished and demonstrated a subacute left frontoparietal subdural hematoma, slightly hyperdense to cortex, measuring approximately 11 mm in widest thickness. 6 mm of left to right midline shift was visible on the scan (Figure 1a). No underlying fracture of the calvarium was present. Of note, evaluation of the bony windows demonstrated a focal calvarial irregularity overlying the side of SDH (Figure 1b). Physical examination in the ED demonstrated a healthy, neurologically intact adolescent male in moderate distress. The patient stood approximately 1.83 meters tall and weighed 76 kilograms (6’0”, 168 pounds). Figure 1. (A) Pre-operative CT imaging with soft-tissue windowing demonstrates a left subacute frontoparietal subdural hematoma slightly hyperdense to cortex, measuring approximately 11 mm in widest thickness with 6 mm of left to right midline shift. Arrow indicates the interface between brain and hematoma. (B) Pre-operative CT imaging with bone windowing reveals a small focal calvarial irregularity overlying the SDH (indicated by arrow). (C) CT imaging of the head with soft-tissue windowing status post craniotomy for evacuation. Hospital Course. The patient was admitted to the Pediatric Intensive Care Unit (PICU), where his headache and nausea initially improved with medication. The plan tentatively set forth at that time was to attempt to await clot liquefication and proceed with burr hole drainage in 10-14 days time to avoid the morbidity of a craniotomy. He was observed overnight with serial neurological examinations. The patient’s headaches continued to worsen on hospital day 1, however, and the decision was made to proceed with craniotomy for evacuation of clot on hospital day 2. Operation. The patient was taken to the neurosurgical operating room and, after induction of general anesthesia, was placed in the Mayfield head holder with his head turned approximately 20 degrees to the right. After reviewing clot morphology on CT imaging, a reverse question mark flap was turned just beginning anterior to the tragus and then sweeping around the temporal region, the parietal area, and forward toward the edge of the hairline. The operation proceeded in standard fashion and an oval-shaped craniotomy measuring approximately 15 cm in the A-P dimension was performed. Upon opening the dura, a jet of subacute blood under significant pressure was encountered. The remaining portion of the dura was then opened to expose the entire clot. While removing the hematoma, an area of venous bleeding involving a bridging vessel along the parasagittal, posterior frontal region was identified. This site was felt to represent the source of the subdural and was cauterized with bipolar electrocautery. Of interest, the subdural hematoma had tracked into the sylvian fissure, dissecting a portion of the fissure. The remainder of the clot was evacuated, and the wound was irrigated and closed in the standard fashion following replacement of the bone flap. Post-operative Course. Post-operative CT scan (Figure 1c) demonstrated evacuation of the clot. The patient did well following the procedure and was discharged home on postoperative day 2. He was seen in follow-up 6 weeks following the procedure, where he was noted to be neurologically intact and without complaint. The patient was counseled not to return to the football field and stated his desire to take up the sport of tennis at this time. Discussion of Scientific Principles 1. Relative motion that develops between the brain and skull results in the development of tensile stress on intervening bridging veins. Helmeted collisions result in abrupt changes in the velocity of the head. The helmet itself distributes the applied force over a surface area estimated to be approximately 10 times greater than the surface area of contact in unhelmeted collisions11. A foam layer that rests in between the hard outer shell and the player’s head absorbs energy during compression. In addition to shock-absorption, the intervening layer of foam helps to prolong the duration of the impulse of the collision. The energy-attenuating properties of modern helmets are exemplified by one recent study of 50 low to mid-velocity (impact velocities ranging from 2 to 5 m/s) helmet to helmet impacts in a laboratory setting; in this study, linear acceleration of the helmet was approximately 16.6 times greater than linear acceleration of the center of gravity of the head12. At higher impact velocities, the foam padding bottoms out and head acceleration increases significantly7. Energy that is transferred during helmeted collisions results in relative deceleration of the cranium and its internal structures. Previous studies have noted CSF to be approximately 4% more dense than brain tissue13. As the head decelerates in a helmeted collision, the denser CSF gravitates towards the site of impact with concomitant displacement of the brain in the opposite direction14. The relative motion that develops between the brain and skull results in tensile stress on intervening veins that traverse the subarachnoid and subdural space to drain in the intracranial venous sinuses. Stress on these tissues is defined as force divided by the cross sectional area to which the force is applied. These stresses often result in some degree of elongation of the vessels. The measured deformation in the length of the bridging vein (BV) in response to the tensile stress applied is termed strain. At lower tensile stresses, the BVs deform elastically and return to their original dimensions when the applied stress is removed. At higher tensile stresses, the BVs undergo plastic deformation (e.g., deformation which becomes irreversible in nature). Further increases in the amount of tensile stress applied eventuate in vessel rupture. The stress/strain thresholds for plastic deformation are referred to as the yield stress/strain. The stress/strain thresholds for vessel rupture are referred to as the ultimate stress/strain. Individual anatomic characteristics, including the angle of the superior sagittal sinus (SSS)-BV complex involved, and impact direction have been found to influence the susceptibility of these vessels to rupture15. In a finite element analysis by Huang et al., BVs that drained forward into the SSS at 60 degrees from the sagittal plane were subjected to the greatest strain during an occipital impact. In a cadaveric study by Oka et al., the angles of SSS-BV intersections were found to vary with anteroposterior location; specifically, veins arising within 5 mm of the frontal pole were directed posterior with an average angle of intersection of 110 degrees from the sagittal plane—these BVs drained in line with the direction of flow through the SSS16. Veins of the intermediate frontal lobe drained into the SSS at approximately right angles and all veins posterior to this location were found to drain anteriorly into the SSS (against direction of flow) with angles ranging from 10 to 85 degrees from the sagittal plane. Thus, the specific location of BV rupture appears to be related to the direction of impact. In traumatic settings, a proclivity for BV rupture to occur in the subdural portion of the vein has been observed. This has been hypothesized to occur because of a relative increased in the fragility of the BV wall in the subdural region when compared to the subarachnoid portion17. The material properties of BVs have been analyzed using cadaveric models (see Table 1). In these studies, irreversible deformation of BVs was documented with yield strains of 18-29%. Vessel rupture occurred with ultimate strains of 25-53%18,19,20. It is worth noting that phenomena such as postmortem proteolysis and preconditioning can affect the clinical applicability of cadaveric data21. However, recent studies indicate the ultimate strain of fresh small vessel cadaveric specimens to be only slightly lower than comparable vessels obtained during surgical procedures19. Given that samples obtained soon after death more closely mimic the material properties of in vivo vessels, it is likely that the figures obtained by Monson et al. and Lee and Haut et al., which utilized fresh cadavers less than 2 days post-mortem and indicated an ultimate strain of 50-53%, are more accurate than the study by Delye et al.—which reported relatively higher stresses and lower strains associated with vessel rupture in much older cadaver specimens than the aforementioned two studies. Model Study Cadaveric/Fresh (<2d*) Cadaveric/Fresh (<2d*) Lee and Haut et al., 1989 Monson et al., 2005 Cadaveric (5d^) Delye, et al., 2006 Ultimate Stress (MPa) Ultimate Strain Yield Stress (MPa) Yield Strain Young’s Modulus 3.33 53% NR NR NR 1.32 50% 1.15 29% 6.43 4.99 25% 4.13 18% 30.69 Table1: This table is a summary of previous studies attempting to define threshold of superior sagittal sinus-BV failure in terms of stress and strain. NR: not recorded, MPa: megapascal. Young’s modulus is equal to tensile stress divided by tensile strain (i.e., [force/area]/[change in length/length]).*Specimens were obtained less than 2 days post-mortem. ^Published post-mortem interval was 5 days. 2. Subdural hemorrhage at impact conditions in American football relates to dangerous levels of rotational acceleration. Because accurate measurement of vessel strain is difficult to obtain in in vivo models of helmeted collisions, related input variables (e.g., translational and rotational acceleration) have been used as surrogate parameters to describe the pattern of energy transfer in these settings. Head motion in any helmeted collision can be broken down into elements of translational and rotational acceleration. In seeking to determine whether a force will result in rotational acceleration, translational acceleration, or both, it is useful to consider where the force is applied and how the object subjected to the force is confined. If an object is not confined and the force is applied through the center of gravity, the object then experiences pure translational acceleration. If the object is confined to a point or “pivot”, the object experiences pure rotational acceleration when subjected to a force orthogonal to the axis of rotation. If the object is not confined and a force is applied at some distance from the center of gravity, the object experiences translational acceleration in addition to rotational acceleration about the center of gravity. Relatively speaking, a much greater degree of translational acceleration (TA) is required to produce BV rupture and SDH than rotational acceleration (RA)15. The risk of subdural hematoma formation has been found to be proportional to both the amount of RA incurred and the duration of the collision22. Cadaveric studies indicate that the critical threshold of RA, above which risk of BV rupture and SDH formation becomes appreciable, approximates 4,500-10,000 rad/s2 (see Table 2) 15,22-25. It is also worth noting that the duration of the collision appears to affect the amount of RA that can be tolerated. In the study by Lowenhielm et al., 4,500 rad/s2 was proposed as the critical RA for BV rupture in collisions ranging from 15-44 msec. In contrast, the study by Depreitere et al. described a critical value of 10,000 rad/s2 for collisions lasting under 10 msec. The average duration of high-impact NFL collisions approximates 15 msec26, placing the theoretical critical threshold for RA somewhere in between these two figures. It does not escape attention that cadaveric specimens used in these studies are much older (average age of 79.2 in Depreitere’s study) than subjects playing high school, collegiate, and professional football. The advanced age of these specimens would indicate a much greater degree of underlying cerebral atrophy. This, in turn, would be expected to lead to a hypothetical increase in the relative motion between brain and skull14. Thus, the threshold for RA obtained from the available cadaveric data might be expected to be lower than the true RA threshold for BV rupture in American football players. In addition to the direction, duration, and relative acceleration of the collision, many other underlying factors specific to the patient—including intracranial anatomy (e.g., degree of cerebral atrophy, presence/absence of arachnoid cyst, orientation of SSS-BV complex), relative fragility of the vessel wall, and coagulation status—can influence the risk of SDH22. Model Human Animal Study Proposed Critical RA for SDH (rad/s2 ) Proposed Critical TA for SDH (g) Impulse Duration (msec) Finite element analysis vs. Cadaver Study vs. Animal Study Site of Impact Lowenhielm et. al, 1974 Huang et. al, 1999 Depreitere et. al, 2006 4,500 n/a 15-44 Cadaver study Occipital 71,200 3,913 3.5 Finite element analysis (humans) Occipital 10,000 n/a <10 Cadaver study Occipital Gennarelli et. al, 1982 100,000 * 4 Animal study Frontal Table 2: This table is a summary of previous studies attempting to define the threshold of rotational acceleration for development of subdural hematoma. g: gravity, msec: milliseconds. * = paper stated that purely translational motions cannot induce acute SDHs. Cadaveric human studies are shaded white, finite elment analysis and animal study are shaded grey. 3. The lower effective mass of the struck player in comparison to the striking player leads to greater rotational acceleration of intracranial structures and an increased risk of subdural hemorrhage. When discussing the biomechanics of helmeted collisions in American football, the concept of effective masses of the struck and striking players warrants discussion. Immediately prior to the collision, the striking player anticipates the blow and aligns his head, neck, and torso to maximize effective mass for impact. In contrast, the struck player is often at a disadvantage in his ability to anticipate the collision. This disadvantage translates to a lower effective mass, on average, than the striking player; in a reconstruction of 25 NFL impacts that resulted in concussion by Viano et al., the striking player had, on average, an effective mass 67% greater than that of the struck player. Recalling Newton’s 3rd law, the players involved in the collision exert forces on one another that are equal and opposite direction. Applying Newton’s 2nd law (force = mass ∙ acceleration), the lower effective mass of the struck player results in greater values of rotational and translational acceleration27. In any collision, momentum of a body is characterized by mass of that body multiplied by velocity. The change in momentum of a body in a collision is a quantity known as impulse and is equal to the mass of a body multiplied by the change in velocity. Impulse is also equivalent to impact force integrated over time. In an example where a player runs down the field, is struck, and falls to the ground with a final velocity of zero, the change of momentum that player experiences is a negative quantity equal to mass multiplied by his initial velocity. Simplifying this scenario to involve a standard force that does not change throughout the collision, this quantity is equivalent to the incident force applied times the duration of time in which it is applied. Another way of interpreting this equation is that by increasing the duration of the collision, the incident force that is applied to the player in question can be decreased. After calculation of the average incident force using the knowledge of the change in momentum and duration of the collision, one is able to estimate the average amount of TA experienced during the collision. If there is rotation about an axis in a collision, it is then possible to calculate the instantaneous RA with knowledge of the tangential TA and the distance from force application to axis of rotation (e.g., lever arm). 4. The following variables increase rotational acceleration in a collision: increases in impact force, decreases in rotational stiffness of the neck, and increases in length of the lever arm. To help understand rotational acceleration, it is helpful to review the additional concepts of moment and rotational stiffness. Moment is a term synonymous with torque that is equivalent to the applied force multiplied by the length of the lever arm. In a helmeted collision, the moment is equal to the orthogonal component of the impact force exerted by one player on the other multiplied by the distance from the site of impact to the axis of rotation. Greater impact forces and larger moment arms lead to greater moments. As the moment increases, so does the rotational acceleration of an object about a given axis. Rotational stiffness is defined as the resistance of an object to deformation and varies with material composition and structure. Alternatively, rotational stiffness can be thought of the relationship in a particular setting between change in torque and change in angle. In the setting of a helmeted collision with a fixed moment, as rotational stiffness of the neck increases, angular displacement and rotational acceleration decrease. The previous cadaveric studies listed in Table 2 analyzed the risk of BV rupture following cranial rotation about the y-axis (e.g., flexion or extension of the cervical spine). Moreover, witness reports indicate that the player described in the aforementioned case illustration suffered significant rotational acceleration injury in extension of the cervical spine. Thus, rotational acceleration about the y-axis is chosen for further discussion. The standard published values for range of motion of the cervical spine include approximately 70 degrees of extension starting from neutral position28. Some proportion of this motion involves the atlanto-occipital junction—which is able to accommodate approximately 15 to 20 degrees from flexion to maximal extension29. The degree of sagittal motion increases from approximately 10 to 15 degrees per level from C1-C3 to 15-25 degrees per level in the subaxial cervical spine30. Previous biomechanical studies have demonstrated that extension is often initiated in the subaxial cervical spine before progressing to involve the occiput-C1 and C1-2 articulations. This pattern of extension may relate to the greater rotational stiffness ascribed to the O-C1 and C1-C2 articulations in comparison to the C2-C7 segments31. While an intricate discussion of the biomechanics of extension of the cervical spine and calculation of the moment arm in helmeted collisions is beyond the scope of this report, it is notable that the increased moment arm and decreased rotational stiffness associated with extension about the articulations of the subaxial cervical spine contributes disproportionately more to moment and rotational acceleration than extension at the craniocervical junction. An increase in the rotational stiffness at these levels (e.g., possibly achieved with strengthening exercises targeting cervical musculature limiting extension) would be expected to result in significant decreases in rotational acceleration secondary to impact. The aforementioned concepts are depicted in the middle panel in a simulated collision in Figure 2. Two points of rotation about the y-axis, involving extension at the O-C1 and C5-6 articulations, are chosen to illustrate the relatively larger contribution of subaxial cervical extension to RA. While previous considerations of the average effective mass of the struck player have involved the mass of the head (4.38 kg), helmet (1.92 kg), neck (1.06 kg) and a portion of the torso (1.04 kg)26, the center of gravity of the head itself— previously reported to be approximately 20 mm above the center of the ears, just above the eyes32—was chosen as the center of gravity of the effective mass of the struck player in this example. The distance from this center of gravity to the assumed centers of rotation at O-C1 and C5-C6 can be approximated at 7 cm and 17 cm, respectively33. Reflexive muscular contraction often occurs approximately 60 milliseconds following impact34. Consequently, without anticipation of the collision, the struck player exhibits a compromised degree of muscular tone of the neck with concomitant decreased rotational stiffness at time of impact. Rapid extension of the struck player’s cervical spine is depicted by still photographs of another collision in high-school football in the top panel of Figure 2. These photographs, taken from video footage at approximately 0, 10, 20, and 30 milliseconds following impact, illustrate rotational acceleration of the struck player’s helmet about the y-axis in cervical extension. Elongation of the bridging vessels as a consequence of relative motion between the brain and skull secondary to rotational acceleration is depicted in the bottom panel of Figure 2. Figure 2: (Top panel) Rapid extension of the struck player’s cervical spine is depicted by still photographs of a collision in high-school football illustrated (note: no video of the collision described in this case report was available; still photos are courtesy of Magnolia High School, New Martinsville, WV). These photographs, taken from video footage at approximately 0, 10, 20, and 30 milliseconds following impact, illustrate rotational acceleration of the struck player’s helmet about the y-axis in cervical extension. (Middle panel) The impact force of the collision, the moment arm of rotation, the moment itself, and rotational stiffness are illustrated in the middle panel. (Lower panel) The relationship between skull, brain, and intervening bridging vein is illustrated. Elongation of the bridging vein with rupture as a consequence of relative motion between the brain and skull secondary to rotational acceleration is depicted. 5. Values of rotational acceleration reached in peak impact conditions in American football overlap with values of rotational acceleration potentially able to result in BV rupture and SDH in cadaveric studies. Referring to Table 2, the hypothetical values of TA required for BV rupture and SDH formation are exceptionally high24 and have not been encountered even in elite level impacts in the NFL. Accordingly, SDH formation in helmeted collisions is hypothesized to relate to dangerous levels of RA. Review of the literature32,35,36 (Table 3) indicates that RAs reached in peak impact conditions in professional football games result in significant overlap with values of RA (4,500-10,000 rad/s2) previously discussed as able to result in BV rupture and SDH formation in cadaveric studies (Table 2). In laboratory experiments meant to simulate elite level impact conditions in the NFL, rotational accelerations greater than 15,000 rad/s2 have been observed7.While the parameter of RA has not been specifically assessed in high school and college impacts, comparable linear accelerations reached in high-energy impacts at these levels indicate that overlap with the critical RA of BV rupture may also present. This consideration explains, in part, why a significant number of subdural hematomas occur as a result of helmeted collisions in high-school football every year. Level Measurement Study Translational Acceleration (g) Rotational Acceleration (rad/s2 ) High School Top 1% of Impacts Schnebel et al., 2007 114.5g NA College Top 1% of Impacts Schnebel et al., 2007 127.8g NA Average Impact Duma et al., 2005 32g 2,213 Average Concussion Pellman et. al, part II 97.8g 6,432 Average Concussion + 1 standard deviation Pellman et. al, part II 125.5g 8,245 Professional Table 3: This table is a summary of the peak rotational and translational accelerations commonly encountered by football player at the high school, collegiate, and professional levels. Accelerations for the top 1% of measured collisions and average collisions are listed for high-school and collegiate levels. Accelerations for average concussion of average concussion plus one standard deviation are listed for professional football players. 6. The incidence of catastrophic head injury in American football should not be expected to decrease without quality safeguards in limiting dangerous levels of rotational acceleration. Recent studies have done much to elucidate the important role of translational acceleration in risk of concussion26,37. Pellman et al. has suggested that translational acceleration should be the primary measure for assessment of performance of helmets and that the added complexity of measuring RA may not be justified37. The authors feel that this approach, while appropriate for reduction of concussive brain injury, fails to take into consideration the strong association between RA and BV rupture with SDH formation in helmeted collisions. Furthermore, as helmet manufactures continue to increase the thickness of helmets in attempts to increase energy attenuation, there is a real possibility that resultant increases in the moment arm in attempts to decrease TA8 might unintentionally stabilize or possibly even worsen RA. A concerted effort to characterize the true threshold of RA involved in SDH formation in young athletes and collaborate with the helmet industry to lower impact RAs below this threshold would be hypothesized to drastically lower and possibly even eradicate the incidence of catastrophic head injuries in high school and collegiate football players. Practical Considerations As was previously mentioned, despite lower mass, lower impact velocity, and lower impact acceleration, high-school football players have an incidence of catastrophic head injury that is 3.3 times of college football players. Possibly etiologies for this disparity are hypothetical. To the authors’ knowledge, peak-impact RAs have not been systematically studied in a cohort of high-school football players. RAs in this population might be higher than expected for a number of reasons. In laboratory reconstructions of NFL collisions performed by Viano et al., decreased neck rotational stiffness resulted in increases in peak head acceleration and changes in velocity. This has been thought to translate to a relatively higher risk of helmeted injury in women and young athletes26— populations shown to have weaker neck muscles than adult males38. However, studies contrasting TAs experienced by high-school and collegiate athletes35 have noted that mean linear accelerations of peak impacts were significantly higher in collegiate athletes than with high-school athletes. Relatively weaker neck musculature would be expected to yield proportional increases in both TA, as well as RA—thus indicating that this variable may be less of a factor. Regardless, neck strengthening exercises would be expected to help increase rotational stiffness, decrease impact acceleration, and lessen the risk of helmeted injury. Other possible causes behind the increased incidence of catastrophic head injury in highschool athletes include the increased raw number of impacts observed per player per game at the high-school level35. This is thought to relate to larger percentage of highschool players that play “both ways”—on both offense and defense. An increase in the number of high-energy collisions would been hypothesized to alter the material properties of BVs subjected to tensile strain with associated alteration of the stress-strain curve and possibly predispose to BV rupture with future high-level impacts22. This would help explain an increased incidence of SDH formation despite lower overall average head accelerations. In addition to possible alterations in the material properties of BVs, an increased number of blows to the head can also result in a state of “grogginess” in which neck muscle tone is reduced and ongoing collisions are often not anticipated properly26. In a subgroup of athletes with this injury complex, head acceleration in response to future collisions would be expected to increase. One final proposed root cause of the increased incidence of catastrophic head injuries in high-school athletes relates to the decreased funding available at this level. The ability of helmets to attenuate energy is central to prevention of underlying injury to intracranial structures. Increased helmet wear can lead to a phenomenon of “pre-compression” in the foam layer and a decrease in the properties of energy-attenuation39. A greater amount of funding at the collegiate and professional levels allows for high-standards in the quality of the equipment used. Recent investigations have brought the practice of equipment certification at youth and high-school levels into the national spotlight40. A 2008 article in the New York Times discussed one company responsible for helmet certification who faced legal ramifications for improperly returning approximately 4,000 helmets to the be used in play during the 2005-2006 season. Companies who are in appropriate compliance with NOCSAE certification visually inspect all helmets for cracks and other evidence of dysfunction. However, even these companies only test a minority of helmets examined for the ability of the helmet and suspension to achieve appropriate energy attenuation. Specifically, NOCSAE requirements mandate that approximately 2% of helmets be subjected to direct assessment with standard drop testing to ensure that dangerous translational accelerations are not realized40. Presently, there are no guidelines with regards to limitation of rotational acceleration. Improvements in this real-world process of helmet quality assurance represent another possible avenue to decreasing the risk of catastrophic head injury in young American football players. Conclusion The authors report a case involving a 17 year-old male who presented with progressive headache, nausea and vomiting 2.5 days after a severe helmeted football collision that occurred during practice. CT scan revealed a subacute SDH with shift and the patient required an open craniotomy for evacuation. Details of this case are used to highlight many of the scientific and real-world principles associated with the risk of SDH following helmeted collisions. Moreover, the strong association between rotational acceleration and SDH formation in helmeted injury is emphasized. 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Engineering Failure Analysis 10: 581–591, 2003. 40. Schwarz, Alan. A Guilty Plea for Failing to Test Youth Helmets Properly. NY Times. Dec 22, 2008. Figure 1. (A) Pre-operative CT imaging with soft-tissue windowing demonstrates a left subacute frontoparietal subdural hematoma slightly hyperdense to cortex, measuring approximately 11 mm in widest thickness with 6 mm of left to right midline shift. Arrow indicates the interface between brain and hematoma. (B) Pre-operative CT imaging with bone windowing reveals a small focal calvarial irregularity overlying the SDH (indicated by arrow). (C) CT imaging of the head with soft-tissue windowing status post craniotomy for evacuation. Figure 2: (Top panel) Rapid extension of the struck player’s cervical spine is depicted by still photographs of a collision in high-school football illustrated (note: no video of the collision described in this case report was available; still photos are courtesy of Magnolia High School, New Martinsville, WV). These photographs, taken from video footage at approximately 0, 10, 20, and 30 milliseconds following impact, illustrate rotational acceleration of the struck player’s helmet about the y-axis in cervical extension. (Middle panel) The impact force of the collision, the moment arm of rotation, the moment itself, and rotational stiffness are illustrated in the middle panel. (Lower panel) The relationship between skull, brain, and intervening bridging vein is illustrated. Elongation of the bridging vein with rupture as a consequence of relative motion between the brain and skull secondary to rotational acceleration is depicted.