1.1. Foot position at stride foot contact
Fleisig, 1994 performed a kinematic analysis of the pitching technique of 72 baseballers and after consultation with pitching coaches considered eight proposed mechanisms of 'improper mechanics'. By accumulating this data, Fleisig was able to describe average or normative values for each individual parameter. The pitches of individuals were then compared to the accumulated means for each of these parameters, and the kinetics calculated to estimate variations associated with 'improper mechanics' or deviations from these means. Of the originally considered eight proposed mechanical faults, four were found to be associated with increased kinetics at certain phases of the pitching motion, including the positioning of the stride foot.

Fleisig, 1994 documented average stride foot placement to be 87% of body height (measuring estimated centre of the stride ankle joint back to the leading edge of the pitching rubber). This stride was directed toward the plate within 10cm in either direction in comparison to a line drawn from the centre of the trailing ankle to the centre of the home plate. The stride foot was found to be 'closed' or pointing toward the throwing arm side at an angle of 15° ± 10° with reference to this line. (see Figure 4 for an explanation of these terms).

Those pitchers who were found to deviate from these norms toward open foot position and alignment showed increased kinetics at the shoulder. For every extra centimeter the stride foot lands toward the 'open' side, an extra 3.0N of maximum shoulder anterior force was found during the arm cocking phase. Further, if the stride leg was placed at an open foot angle, this too increased the maximum shoulder anterior force during the cocking phase at a rate of 2.1N per degree of open foot placement.

To place this data into some context, the maximum shoulder anterior force found during the arm cocking phase was found to be on average 350N, so if a pitcher were to place their lead leg 10cm toward the open side and 10° further open, then this would be associated with a 51N (or approximately 15%) increase in shoulder anterior force during the arm cocking phase. Interestingly, those pitchers who landed in a more 'closed' position (in terms of foot angle, and placement) had no increase in stressful parameters demonstrated.

During the assessment of the injured throwing athlete, a routine finding is reported shoulder pain during the arm cocking phase of throwing (Andrews and Fleisig, 1998; Curtis and Deshmukh, 2003; Meister , 2000). This can be associated with a positive Relocation Sign (Jobe, et al., 1989), and it has been suggested that this is indicative of subtle anterior shoulder instability (Hamner et al., 2000). Matsen amongst others believe that the primary restraints to shoulder subluxation at extreme range of motion to be the ligamentous structures (Matsen et al., 1991). It would follow then that any increase in the amount of shoulder anterior force during the arm cocking phase could be directly associated with pathology at the ligamentous restraints such as increasing anterior shoulder instability.

Montgomery and Knudson, 2002 in an investigation of six professional baseball pitchers found that increasing the stride length to 85-90% of their body height to be associated with an increase in throwing velocity in four of them. Contrary to some pitching instruction, this was generally not associated with throwing the pitch higher in the strike zone as only one of the pitchers showed a weak trend (r = 0.54) towards doing so.

In a kinematic examination of 16 collegiate baseball pitchers throwing a variety of pitch types (fastball, curveball, slider, and changeup) Escamilla et al., 1998 found lead foot position to vary. This group found stride length to be slightly lower than that reported by Fleisig, 1994 at 84% ± 5% for the fastball in comparison to 82% ± 4% for the curveball. This is in distinction to the work of Elliot et al. (1986) who found no significant difference in their group of 8 International level pitchers throwing fastball and curveball pitches (82% ± 2% and 81% ± 6% for the different pitches respectively). Escamilla et al., 1998 also reported on the positioning of the lead foot angle for each of the pitch types. They found that there were significant differences during the fastball and curveball (0cm ± 10cm versus -3cm ± 9cm); and the changeup and curveball pitches (-3cm ± 9cm and -7cm ± 9cm). The position of the lead foot was not significantly different for the slider (0cm ± 9cm). Lead foot angle was not found to be statistically significantly different for any of the trials at -8°±12°, -7°±11°, -14°±14°, - 10°±11 for the fastball, changeup, curveball, and slider respectively.

1.2. Elbow flexion
Fleisig proposed that increased elbow flexion during the arm cocking and acceleration phases would be associated with an increase in kinetics, but his research did not bear out this finding (Fleisig and Escamilla, 1996). It would appear that this proposal is at least in part based on the commonly held belief amongst pitching coaches that "correct" mechanics are associated with maintaining elbow flexion of less than 90° at the point of stride foot contact (Figure 5). It was indeed illuminating to then see the work of Werner who analyzed the kinetics of forty professional pitchers during Cactus League spring Training of 1998 (Werner et al., 2001; 2002). Werner et al. (2001; 2002) used three 120Hz cameras through at least 2 innings of pitching, choosing the best fastball in terms of '…location, velocity, and outcome' from this sample for analysis with an average displayed ball velocity of 89 mph.

In one study Werner used shoulder joint distraction as a dependent variable (Werner et al., 2001) as it is proposed that longitudinal distraction of the glenohumeral joint can be associated with pathology commonly seen in the throwing athlete such as shoulder instability (Altchek and Hobb,s 2001), and traction injuries to the biceps anchor and superior labral complex (Andrews et al., 1985; Andrews et al., 1985). Thirteen kinematic and kinetic variables were chosen as independent variables for a step-wise regression analysis. A combination of five of these parameters explained 72% of the variance in shoulder distraction estimated during the throwing motion. These parameters included elbow flexion at stride foot contact and elbow flexion at ball release. This work infers that those pitchers who have a more flexed elbow at the point of stride foot contact and a more flexed elbow at the point of ball release will have a reduction in the amount of peak longitudinal distraction force at their shoulders during the throwing motion.

In a related study using similar materials and methods, Werner's group (Werner et al., 2002) performed a stepwise regression analysis with elbow valgus as the dependent variable. Excessive elbow joint valgus force during throwing is considered to be the primary cause of Valgus Extension Overload (Andrews, 1985; Andrews et al., 2001; Cain et al., 2003; Wilson et al., 1983) - a spectrum of disorders including (but not limited to) attenuation of the anterior band of the ulnar collateral ligament (UCL) of the elbow, osteochondral damage to the postero medial olecranon fossa, and osteochondral damage to the radio-capitellar joint. Valgus Extension Overload is considered to be the most common elbow injury suffered by skeletally mature throwing athletes (Azar, 2003; Joyce et al., 1995; Pincivero et al., 1994). This study (Werner et al., 2002) found 4 independent variables were able to explain over 97% of the variance in elbow valgus, including elbow flexion at the point of maximum valgus stress. Peak valgus stress at the elbow occurs late in the cocking phase and very early in the acceleration phase of throwing, and those who displayed a greater amount of elbow flexion at this point in the throw were associated with lower amounts of maximum elbow valgus force during the throw (Werner et al., 2002).

Whilst it would appear then that the commonly held pitching coach's maxim that the elbow should be flexed no more than 90° at the point of stride foot contact could bear re-examination, this notion needs to be tempered in light of the findings of Levin et al (Levin et al., 2004). This group investigated the amount of stress placed at the UCL during valgus stress after progressive sectioning of the posterior olecranon. Levin showed significantly more strain occurred in the UCL at 90° than at 70° of elbow flexion (Levin et al., 2004). The highest valgus stresses occur at late cocking and early acceleration phases and perhaps assessment of elbow flexion at this stage of the throw would be more appropriate.

In terms of pitching performance, one variable commonly sought after is higher throwing velocity. Matsuo et al., 2001 examined 12 kinematic and 9 temporal parameters in a group of 127 healthy college and professional pitchers (Matsuo et al., 2001). These players had an average throwing velocity of 36.1 m·s^-1 ± 1.9 m·s^-1 for the group (80.75 ± 4.2 mph). Matsuo et al. then compared the 12 kinematic and 9 temporal variables for the group who threw more than one standard deviation greater than average (> 38.0 m·s^-1, >89 mph) with the group who threw less than one standard deviation slower then the average (< 34.2 m·s^-1, <76.5 mph). One of the variables to show a statistically significant difference between these two sub groups was the timing of maximum elbow extension angular velocity during the throw. Matsuo's group considered the throw from stride foot contact until ball release, describing these two points as 0% and 100% of the throwing cycle respectively. Intuitively, one might expect the higher velocity group to display peak elbow extension angular velocity at or very close to the point of ball release. It was indeed surprising then to learn that the high velocity group displayed the peak elbow extension angular velocity to occur at 91.1% ± 1.9% of the throw duration, whilst the slower throwing group displayed this event slightly later at time = 93.0% ± 2.4% (Matsuo et al., 2001). Atwater, 1979 was amongst the first authors to propose a sequential summation of kinetic links as being critical in the production of velocity in the overhead thrower. She describes the sequential nature of the acceleration of body segments moving from the lower limbs through the trunk and then to the arm and hand. This movement pattern typically shows each segment initially lagging behind its preceding segment, and then accelerating to even higher angular speeds whilst the preceding segment lagged behind. This whip-like summation of angular velocities requires extraordinarily precise timing, and the data of Matsuo et al., 2001 would serve to underscore the delicacy of this balance. The throwing motion has been modeled using a double pendulum to estimate optimal conditions for throwing and striking (Alexander, 1991). Perhaps an alternate explanation for the seemingly counter-intuitive finding of peak elbow extension velocity can be found in this model. Whilst complex to describe mathematically, a double pendulum can be constructed simply where two solid struts (such as student's wooden rules) are connected at their end and swung back and forth from one end (Cross, 2004). From this it can be appreciated that maximum linear velocity of the distal end of the distal segment is not necessarily associated with maximal angular velocity of the proximal segment.

Werner correlated elbow joint position and elbow kinetics with an EMG analysis of the biceps brachii, triceps brachii, and anconeus muscles in an investigation of seven healthy college and minor league pitchers using a 2 camera 500 frames per second analysis (Werner et al., 1993). The mean ball velocity for the subjects was 36.4 m·sec^-1, and the EMG data was captured using surface electrodes. Werner showed a sequential activity of biceps followed by triceps activity until the moment of maximal shoulder external rotation, and thence activity in the anconeus muscle as the elbow continued flexing during the first half of the acceleration phase (Werner et al., 1993). Active elbow extension is thought to be principally under the control of the triceps musculature, and secondarily by the anconeus muscle (Basmajian and Griffin, 1972). The subsequent rapid elbow extension was not associated with any appreciable increase in activity of either triceps brachii or anconeus. The elbow flexion seen during the acceleration phase was seen to be associated with a concurrent increase in the amount of predicted elbow compressive force which peaked at approximately 780N shortly before ball release (Werner et al., 1993). The rapid elbow extension seen during the throwing motion would therefore appear to be both a combination of active elbow extension, and the mechanical conversion of angular velocity of the more proximal segments (shoulder internal rotation and horizontal adduction) into elbow extension.

In an investigation of the role of the triceps musculature during throwing, Roberts reported on the preliminary work of Dobbins who performed a radial nerve block (thereby rendering the triceps brachii and wrist and finger extensors inactive) and compared the kinematics of the throws performed prior and subsequent (Roberts, 1971). Dobbins found that the timing of the onset of elbow extension was unchanged after the radial nerve block, however prior to extending the elbow 'collapsed' into a maximum elbow flexion of 145° (from the pre-nerve block maximum of 90°). On the sixth throwing trial after the nerve block was performed, the subject was able to throw in excess of 80% of his original velocity despite the absence of active triceps (and wrist extensor) contribution. This work would suggest that part of the role of the triceps musculature is to maintain elbow flexion such that the moment of inertia of the rotating upper arm is maximized (at 90° elbow flexion).

1.3. Arm rotation
Investigations into the timing, magnitude, and duration of arm rotation are shown to be related to performance and kinetics, and are discussed below. It should be recalled that the amount of arm rotation is usually being inferred from the positions of skin markers on the ulna, humerus, and trunk. Commonly this rotation (axial rotation of the humeral component in comparison to the trunk) is termed "shoulder rotation", however the components of this total arm rotation which occur at the glenohumeral, scapulothoracic, acromioclavicular, and sternoclavicular joints can only be guessed at. Accordingly, for the purposes of this paper, this motion will be termed "arm rotation".

1.3.1. Early external rotation: In Fleisig's (1994) initial investigation he found the average amount of arm rotation to be 53° ± 26° at the point of stride foot contact (Figure 6). Those who displayed an increase in the amount of arm external rotation at stride foot contact also displayed increased kinetics at the arm and elbow, and alterations in stride foot position.

An increase in the amount of arm rotation was shown to be associated with increased shoulder anterior force during the arm cocking phase at a rate of 1.3N/° of arm rotation. The total shoulder anterior force during the arm cocking phase was 350N, so an increase of say 40° would be associated with an increase of 52N or almost 15%.

Increased arm external rotation at stride foot contact was also shown by Fleisig, 1994 to be associated with an increase in the amount of elbow medial force at a rate of 0.7N/°. Elbow medial force averaged a peak of 280N, so an increase of 40° of arm external rotation at stride foot contact would be associated with 28N, or 10% of the total medial elbow force. The passive restraints against valgus stress at the medial elbow include the UCL, principally its anterior band. During throwing, the load placed through this structure is thought to approach its ultimate tensile strength. Any further increases in the amount of valgus stress through increased arm external rotation at stride foot contact could place this structure at a heightened risk of tensile failure.

Escamilla et al., 2002 evaluated kinetic, kinematic, and temporal values of 11 American and 8 Korean healthy professional pitchers during trials of pitching a fastball including external rotation. In this study, the Korean pitchers displayed reduced kinetics, and approximately a 10% reduction in throwing velocity in comparison to the American pitchers (37.1 ± 1.9 m·sec^-1 vs. 34.9 ± 1.0 m·sec^-1). In contrast to the findings of Fleisig, 1994, one of the variables associated with reduced kinetics at the shoulder and elbow was an increase in the amount of arm external rotation displayed at lead foot contact.

1.3.2. Late external rotation: A decreased amount of arm external rotation at stride foot contact (beyond one standard deviation from the group mean) was shown by Fleisig, 1994 to be associated with an increase in the maximum longitudinal compressive force along the humerus during the cocking phase at a rate of 1.5 N/°. The average maximum compressive force along the humerus being 590N for the group, an increase of 40° then could be associated with an increase of 60N or over 10% of the total compressive force during the arm cocking phase. It is thought that increases of longitudinal compression during this phase could be associated with compression/rotation injuries to the glenoid labrum, much in the manner of proposed damage to the menisci of the knee during weight-bearing combined with rotation.

A reduction in the amount of arm external rotation at stride foot contact was associated with a reduction is stressful kinetics at the elbow (Fleisig, 1994). It was shown that the elbow medial force (and varus torque) was reduced at a rate of 0.8 N/° (0.2Nm varus torque) (Fleisig, 1994). In our previous example of a 40° reduction in the amount of arm external rotation at stride foot contact, this would be associated with a reduction of 32N (over 10% of the total valgus force).

1.3.3. Total arm external rotation range: Very high figures - up to 210° (Werner et al., 1993) are quoted for the total amount of arm external rotation displayed during throwing (Figure 7). Feltner and Dapena, 1986, and Kreighbaum and Barthels, 1985 hypothesized that the arm external rotation displayed during throwing with simultaneous EMG activity of the horizontal adductors and internal rotators was due to the inertial lag of the forearm as the proximal segments rotated toward the contralateral (to the throwing arm) side. It is not surprising then to learn of that there is no relation between the amount of active external rotation range at the shoulder horizontal abduction and adduction of the active arm external rotation range and throwing skill or speed (Clements et al., 2001). Clinically, a more useful finding is the amount of passive arm external rotation since it more closely reflects the nature of the movement displayed in the throwing motion. Whilst many authors (Baltaci et al., 2001; Bigliani et al., 1997; Brown et al., 1988; Crockett et al., 2002; Ellenbecker et al., 2002; Reagan et al., 2002) have described a difference in the total range of external and internal rotation in the dominant and non dominant arms of high level baseball players, there are occasional exceptions to this finding (Johnson, 1992).

The finding that increased range of external rotation is associated with an increase in throwing speed was originally described by Atwater, 1979 who investigated ranges of motion and throwing speed in a group of varsity pitchers. Subsequently Wang et al., 1995 using 2 150Hz cameras examined fastball pitches of 3 pitchers (2 college, 1 high school with an average release velocity of 32.34 m·sec^-1 ± 3.63 m·sec^-1). This group showed a correlation between the amount of maximum external rotation at the beginning of the acceleration phase and ball release velocity, with the Pearson r value measuring 0.86. This work was further expanded in the investigation of Matsuo who found an increased maximum displayed shoulder external rotation range (from 166.3° ± 9° to 179° ± 7.7°) to be associated with higher throwing velocities in his group of 127 healthy college and professional pitchers (Matsuo et al., 2001).

Baseball players have regularly been shown to have both an increased passive range of external rotation in their dominant arm, and a reduction of passive range toward internal rotation (Donatelli et al., 2000; Ellenbecker et al., 2002). It has been suggested that those in whom the lost range of internal rotation exceeds their gained external rotation are at a greater risk of subsequent shoulder labral injury (Burkhart et al., 2003c) and that remediation (Burkhart et al., 2003b) and prevention (Burkhart et al., 2003b) of this lost range of motion is curative and preventive of these injuries.

During the investigation of Werner et al., 2001, the amount of shoulder distraction at the point of maximum external rotation was found to be proportional to the total external rotation range displayed. Werner's group (2001) investigated the total shoulder distractive force as a dependent variable in their regression analysis as it was thought to relate to the potential for pathology at the rotator cuff and glenoid labrum (Werner et al., 2001). Shoulder distractive forces ranging from 83% to 139% of body weight (108% ± 16%) were found for the group of forty professional pitchers playing in the Cactus League of 1998, which was in line with other reported data (Feltner and Dapena, 1986; Fleisig et al., 1995) regarding the maximum distractive force at the shoulder during throwing. Shoulder joint distraction during the follow-through phase where the biceps is acting forcefully to decelerate the extending elbow has been theoretically implicated as a potential source of traction injury to the biceps anchor at the superior glenoid labrum (Andrews et al., 1985). More recently in a cadaveric study of tension on the proximal long head of biceps at the glenoid labrum, arm external rotation in abduction (in a simulated position of arm cocking) was shown to be associated with markedly higher amounts of strain in the proximal long head of biceps than in any of the other simulated throwing positions (Pradhan et al., 2001).

In the examination of American and Korean pitchers by Escamilla the Korean pitchers were shown to have a reduction in maximum arm external rotational range of motion during arm cocking (180 ± 10° vs. 165 ± 10°), and this was associated with a reduced kinetics at the shoulder and elbow, and reduced ball velocity (Escamilla et al., 2002).

When considering the total amount of arm external rotation, and the contribution of the glenohumeral joint, the amount of individual humeral torsion needs to be factored into the equation. The degree of humeral torsion an individual displays has been shown to be associated with the total range of external rotation as well as the propensity for anterior dislocation (Crockett et al., 2002; Kronberg and Brostrom, 1990; 1991; 1995; Kronberg et al., 1993; 1990; Osbahr et al., 2002; Reagan et al., 2002). Pieper in a study of 51 male National Level Handball players found a variation in the side to side values of humeral torsion when measuring with longitudinal X-Ray analysis (Pieper, 1998). Interestingly of his sample the 13 who were presently complaining of shoulder pain had an average reduction of humeral torsion of 5.4° on their dominant side, whilst the remaining 38 healthy players had an average increase of 14.4° of humeral retrotorsion. Similar conclusions were reached by Osbahr et al., 2002 who used longitudinal X-Ray to find a 10° increase in retroversion of the dominant side humeral head of 19 male college baseball pitchers. This figure concurs with the findings of Crockett who used CT to investigate the humeral torsion and glenoid version in 25 professional baseball pitchers and 25 non-throwing controls (Crockett et al., 2002). This group showed an average increase of 17° in the retrotorsion of the dominant arm's humeral head in the pitchers that was not found in the controls. This increased humeral retroversion was found to be associated with an increase in humeral external rotation when measured at 90° of abduction, and would clearly influence the amount of arm rotation which is occurring at the glenohumeral joint. This work suggests that the increased arm external rotation and concomitant reduction in internal rotation (which has often been ascribed to capsular and muscular adaptive changes) may well be partly bony in origin, and a requisite for healthy performance of the extreme range of external rotation seen in throwing athletes.

1.4. Horizontal abduction and adduction
1.4.1. Horizontal adduction: Published data show the maximum horizontal adduction a pitcher displays to be in the order of 14° ± 7° (Fleisig, 1994). Pitching coaches will often see an excessive amount of arm horizontal adduction as a mechanical fault, sometimes describing this pattern as 'leading with the elbow'. Fleisig, 1994 found the maximum horizontal adduction range displayed to be proportional to the maximum elbow medial force during arm cocking phase at a rate of 2.4 N/°. Since the total amount of elbow medial force during the arm cocking phase was 270N in Fleisig's study, an increase of 7° horizontal adduction would be associated with an 18N or 7% increase in this force.

1.4.2. Horizontal abduction: Escamilla et al's (2002) investigation of differences between a group of American and Korean pitchers showed the higher velocity American pitchers to have an increase in the amount of horizontal abduction at stride foot contact (23 ± 12° vs. 14 ± 9°, Figure 8).

It has been theorized that an increase in the amount of shoulder horizontal abduction range during the arm cocking phase is associated with a propensity for shoulder pathology. Jobe deemed this to be 'hyperangulation' and thought that it would be coupled with attenuation of the shoulder anterior capsular structures, and therefore anterior shoulder instability (Jobe and Pink, 1996). These workers state that this is seen with a throwing pattern of the hand not being "on top of the ball" as is thought to be preferred by pitching coaches.

Burkhart's group (2003a) believe that in the presence of a tight and thickened postero-inferior glenohumeral capsule, horizontal abduction combined with external rotation as is shown in the arm cocking phase will be associated with a postero-superior translation of the humeral head relative to the glenoid such that it no longer contacts the posterosuperior glenoid labrum. These researchers feel that the normal contact of the trapped posterosuperior glenoid labrum in this position increases tension in the anterior glenohumeral capsule in a cam like manner, thereby enhancing glenohumeral stability and so the failure of this mechanism during postero-superior translation leads to a failure of the shoulder's normal stability apparatus.

1.4.3. Timing of horizontal abduction and arm external rotation: It is seen that during the arm cocking and subsequent acceleration phases, the arm moves from horizontal abduction to adduction and from extremes of external rotation to internal rotation with extremes of external rotation displayed during concomitant shoulder horizontal adduction (Figure 9). Clinically, it is commonly seen that the amount of painless passive external rotation available when measured at 90° of arm abduction will be reduced with increased arm horizontal abduction. Whilst this has not been formally investigated it would seem rational to suggest that shoulder pain would be present in those individuals who aberrantly 'leave' their arm too long in horizontal abduction during the external rotation phase of arm cocking via a similar mechanism perhaps through attenuation of the anterior capsular structures.

1.5. Arm abduction
Atwater was the first to propose that across all the throwing and striking sports, the amount of arm abduction at release/impact stayed relatively constant at 90° with apparent variations being due to trunk inclination (Atwater, 1979). This has only recently been partially challenged by Matsuo who analyzed a group of 2 submarine type pitchers, 2 sidearm type pitchers, and a control group of 13 ¾ arm style pitchers (Matsuo et al., 2000). Matsuo found the submarine style pitchers to abduct their arms to less than 75° during the arm acceleration phase, and that this style of throwing was associated with an increased maximum shoulder anterior force in comparison to the ¾ arm style pitchers (Matsuo et al., 2000). This is a significant finding, as it has been suggested by some pitching coaches that submarine style pitching whilst generally capable of lower velocity than ¾ style pitching, is less stressful on the arms of those performing it, and has been recommended to injured pitchers as a way of extending their careers. The sidearm pitchers were noted to have an increased medial elbow force in comparison to the ¾ arm style pitchers, and this would appear to concur with the majority of opinion of pitching instructors (see Figure 10).

Matsuo et al., 1999 modeled the effect of varying the amount of arm abduction at ball release (through the ranges 50° to 130°) during the throw for a number of kinetic and performance variables. This group found that wrist velocity was at a maximum when the shoulder was at 90° abduction at ball release. Elbow varus torque was at a minimum at 80° of arm abduction at release, while peak shoulder anterior force was minimized at 110° arm abduction at release. Shoulder compressive force was at its lowest at 130° arm abduction at release, increasing with all lower values investigated. This work was complemented by a subsequent investigation of eleven professional pitchers by Matsuo et al., 2002 where a two camera videotape analysis was conducted calculating elbow varus torque and peak wrist velocity. Subsequently these values were recalculated with theoretically varied levels of arm abduction. Each pitcher was found to have optimized their level of arm abduction to minimize the amount of elbow varus torque and maximize the peak wrist velocity. More recently, this work was followed up with a 4 camera, 200Hz investigation into 33 healthy college pitchers upon whom a two-way analysis of variance was performed examining the effects of trunk tilt and arm abduction on elbow varus torque through modeling predicted forces across a range of trunk inclination and arm abduction angles (Matsuo et al., 2006). In the simulated overhand and three-quarter arm conditions (see section 7 for and explanation of these terms) elbow varus torque was minimized with arm abduction of 90°, while overall varus torque was minimized at 100° of arm abduction with a contralateral trunk tilt of 10°. During ipsilateral trunk tilt conditions the optimum angle of arm abduction in terms of minimizing elbow varus torque was generally 100° or greater.

Werner's group (2001) found the amount of arm abduction at stride foot contact to be 109° ± 33°, with Flesig's (1994) investigation showing lower values. Fleisig reported arm abduction at ball release to be approximately 95°, and most authors show the arm to slightly abduct from the time of stride foot contact until maximum external rotation, then to slightly adduct until ball release, and then there is a sharp abduction during the decelatory phase until maximum internal rotation of the arm is reached. Increasing the amount of arm abduction was shown by Werner et al., 2002 to be contributory to increasing the amount of valgus stress at the elbow. In contrast to these findings, Escamilla's (2002) investigation of a group of American and Korean pitchers showed the lower velocity (and reduced kinetics) Korean group to have an increase in the amount of arm abduction at stride foot contact (94 ± 11° vs. 104 ± 7°). These findings should be considered in light of Matsuo's (2002) more recent modeling work in which arm abduction angle and trunk inclination were found to be interdependent and analyses examining only one aspect may be therefore be superficially confounding only.

1.6. Lead knee position
At the point of stride foot contact, the lead knee has been reported to be in varying amounts of flexion, and then move toward more flexion, extension, or not at all (Figure 11). In Matsuo's (2001) previously described investigation of a high and low velocity pitching group, the higher velocity group displayed both a slower rate of knee flexion on landing, and a higher rate of subsequent knee extension. Pitching coaches will occasionally describe this behavior as 'firming up the front side', and have been reported as claiming that those throwers who allow their 'front side to soften' (by letting their lead knee move toward more flexion during the acceleration and release phases) are not throwing to their highest potential velocity. In agreement with these findings, Escamilla et al., 2002 showed a reduction in the amount of knee flexion at release (37 ± 14° vs. 48 ± 16°) in the higher velocity group of American pitchers in comparison to their Korean counterparts.

In an investigation of kinematic differences between pitch types (fastball, curveball, changeup, and slider) thrown by 16 college pitchers, Escamilla et al., 1998) showed the changeup pitch to have the greatest excursion of knee flexion from stride foot contact to ball release, and the lowest ball velocity across all pitch types.

MacWilliams et al., 1998 investigated the ground reaction forces during pitching for one high school and six collegiate pitchers. This group placed a force platform immediately in front of the pitching rubber (underneath the stance leg of the pitcher) and another at the site of stride foot landing. This enabled them to record the magnitude and directions of the 'push off' and 'landing' forces during pitching. They also measured wrist linear velocity (a good correlate of ball speed). They found that ground reaction force directed toward the plate was highly correlated with throwing speed (r² = 0.82) indicating that those who pushed hardest toward the plate (from their stance leg) and therefore were also able to decelerate most strongly with their landing leg also displayed the highest linear wrist velocities. The results of this study contrast somewhat with the findings of Elliot et al., 1988 who examined 8 International level pitchers whilst throwing fastball and curveball pitches using a force platform analysis of the push-off leg. In the data from the 3 highest velocity pitchers, it was found that the timing of the force pushing toward the plate was later in the pitch cycle but of a similar magnitude to those three who threw slowest.

1.7. Pelvic and trunk orientation
Whilst there appear to be no strictly held definitions, it would seem that pitchers are classified in terms of their degree of forearm inclination at release from vertical, and the extent and direction of trunk sideflexion. Those who display significant trunk sideflexion away from the throwing arm side with a concomitant vertically oriented forearm at release will be termed 'Overhand' throwers. If the same pitcher were to have their trunk vertically oriented and the forearm almost horizontal at release then they are termed 'Sidearm' pitchers. The majority of pitchers display mechanics somewhere between these two extremes with a trunk inclined slightly toward the contralateral (to the throwing arm) side and the forearm in between the extremes of vertical and horizontal. This style is termed a 'Three-Quarter arm' throwing. Less commonly, a thrower will inclined their trunk toward the throwing arm side delivering the ball from a lower height. These throwers are termed 'Submarine' style pitchers. (See Figure 12 for an explanation of these terms).

Matsuo et al., 2000 investigated the kinematics and kinetics of two sidearm and two submarine pitchers. This group found that the sidearm style of throwing was associated with an increase of peak medial elbow force which concurs with the majority of opinion of pitching instruction. Perhaps more surprisingly given the weight of opinion of pitching instructors, the two submarine style throwers were found to show an increase in the maximum amount of shoulder anterior force.

In an effort to determine if variation in trunk sideflexion influences the optimal angle of arm abduction in terms of the sum of minimum torque squared required, Matsuo et al., 2003 using a 4 camera 200Hz analysis investigated the kinematics of seven professional pitchers (throwing with an average velocity of 38.0 ± 1.3 m·sec^-1). After determining the kinematics for each of the pitchers, torque squared was recalculated considering variations in trunk tilt angle for seven cases (-20°, -10°, 0°, 10°, 20°, 30°, and 40°) and for 6 different angles of arm abduction at release (70°, 80°, 90°, 100°, 110°, and 120°) giving 42 possible combinations for each individual. For these subjects, Matsuo found that for contralateral trunk tilt (10° to 40° conditions) optimal arm abduction angle varied from 90° to 105° whilst in the ipsilateral conditions, torque squared decreased as arm abduction as shoulder abduction increased, although the optimal abduction angle was not found in the ranges of arm abduction studied (Matsuo et al., 2003). It was concluded that on average ipsilateral trunk tilt was associated with greater requirements of torque squared than for the contralateral conditions, and that the optimal condition (in terms of minimum torque squared) was in the condition of 100° of shoulder abduction and 30° of contralateral trunk tilt. However the authors hastened to point out that two of the seven subjects did not fit this pattern in that altering their kinematics toward this condition increased their torque squared, suggesting that other factors (they put forward trunk inclination and elbow extension angular velocity as possible candidates) may be significant contributors. A subsequent investigation (Matsuo et al., 2006) using similar methodology and 33 college pitchers (average ball release velocity 36.8 ± 0.9 m·sec^-1) which again modeled varied kinematics across the same combinations of 42 variables and compared varus torque as a dependent variable showed similar results in that peak elbow varus torque varied according to both arm abduction and trunk inclination angles. In this investigation, peak elbow varus torque generally displayed a minimum shifted toward greater arm abduction angles as trunk tilt angle increased ipsilaterally. Again, there were individual differences between subjects however this data showed a shoulder abduction angle minimizing elbow varus torque depending on the trunk tilt angle with minimum varus torque at approximately 90° of arm abduction in the cases of contralateral trunk tilt in the order of 20° to 30° - the trunk inclination generally described as overhand and three-quarter pitchers, and in accordance with the general teaching of pitching coaches.

In an EMG investigation into muscular activity during throwing, Hirashima et al., 2002 showed activity of the external oblique muscle contralateral to the throwing arm prior to the ipsilateral external oblique. This pattern of muscle activity during the axial rotation phase of trunk movement is thought to be best disposed to assist in the transfer of torque from the lower limb to the upper limb. Activity in the rectus abdominus was only seen immediately prior to release suggesting active trunk flexion activity occurred quite late in the propulsive phase. In their investigation of 127 college and professional pitchers, Matsuo et al., 2001 looked at kinematic differences between the groups which threw at 1 standard deviation above and below the sample mean. Among their results was the finding that higher velocity throwers tended to display an increased forward trunk tilt at the moment of ball release. As rectus abdominus is considered to be a primary trunk flexor, it would appear that this EMG activity seen by Hirashima et al., 2002 late in the throwing cycle is significant in the generation of ball speed.

Stodden et al., 2001 investigated aspects of trunk and pelvic positioning in the horizontal plane during pitching for a group of 19 elite level subjects (7 professional, 9 college, 3 high school). Each of the participants displayed a variation of at least 1.8 m/sec (approximately 4.0 mph) in their trial of 10 maximal effort fastball pitches averaging 35 ± 2 m·sec^-1 (78.3 ± 4.5 mph). The variables studied were pelvic orientation and upper torso orientation (in the horizontal plane) at maximum knee height; stride foot contact; instant of maximal arm external rotation; and at the instant of ball release. They also considered pelvic and upper torso angular velocity (in the horizontal plane) during the arm cocking and arm acceleration phases. This data was then analyzed using a mixed model analysis including all 12 pelvis and trunk related variables, of which 5 were found to be associated with variations in velocity. Principal findings were that during the higher velocity trials, subjects displayed a more 'open' pelvis and upper torso at the point of maximum arm external rotation, and a more open pelvis at the point of ball release. It was also shown that the higher velocity throws were made with higher pelvic angular velocities during the arm cocking phase and higher upper torso angular velocities during the arm acceleration phase. Whilst this work was limited to the horizontal plane, Matsuo et al., 2001 in their investigation of pitchers throwing more than one standard deviation above and below the mean velocity of the group of 127 pitchers considered variables in the horizontal and sagittal planes. Matsuo et al., 2001 investigated maximum pelvis linear velocity, maximum pelvis and upper trunk angular velocity (in the horizontal plane), trunk forward tilt angular velocity, and forward tilt at the instant of ball release. With the exception of linear pelvic velocity, these entire trunk related variables were of higher magnitude in the high velocity group. However, only forward trunk tilt at the instant of ball release (36.7° ± 6.7° in contrast to 28.6° ± 11.1°) reached statistical significance.

In accordance with these findings, Escamilla et al., 2002 in their investigation of a group of American and Korean pitchers, showed the higher velocity American group to have a higher pelvic angular velocity during arm cocking (660 ± 60°/s vs. 610 ± 55°/s), and an increase in forward trunk tilt at ball release (32 ± 8° vs. 26 ± 9°).

In a 2001 investigation into 9 pitchers separated into low and high skill level by an experienced coach, Murata, 2001 looked at the amount of non-throwing shoulder movement. Using a two camera, 200Hz analysis, a marker was placed over the acromion process of the non-throwing arm, and its three dimensional motion recorded from stride foot contact until ball release and normalized as a function of body height. The skilled group of four pitchers threw their fastballs at 38.22 ± 1.02 m·sec^-1 in comparison to the less skilled group who threw at 35.96 ± 1.45 m·sec^-1. The skilled group of throwers were found to have a reduction in the amount of non-throwing shoulder movement