Mechanical energy flow analysis in athletes with and without anterior cruciate ligament reconstruction during single-leg drop landing

Techniques that reduce mechanical energy have been linked to lower chances of experiencing an Anterior Cruciate Ligament (ACL) injury. Although there is evidence that movement patterns are altered in athletes who have undergone Anterior Cruciate Ligament Reconstruction (ACLR), energy transfer mechanisms have not been examined. This study aimed to compare energy flow mechanisms during single-leg drop landing between athletes with and without history of ACLR. A total of 20 female athletes were included in this study. Ten participants underwent ACLR 12 months ago (mean age, 21.57 ± 0.41 years) and 10 were healthy controls (mean age, 20.89 ± 0.21 years). Participants executed the single-leg drop landing (SLL) maneuver by descending from a 30 cm wooden box and landing on the tested leg on an embedded force plate. Information collected during the SLL trials was refined using rigid-body analysis and inverse dynamics within Nexus software, ultimately allowing construction of skeletal models of the athletes. Ankle and knee mechanical energy expenditure (MEE) was higher in the control participants during landing. However, the result for the hip MEE demonstrated that MEE of the control group was significantly lower compared with the ACLR group, but MEE of the control subjects was higher as compared to ACLR group (p ˂ 0.05). Results suggest the avoidant use of the quadriceps muscle post ACLR leads to knee-avoidant mechanics and loss of knee joint power generation during a SLL task.

The rate of primary Anterior Cruciate Ligament (ACL) rupture in athletes is 1 in 3500 1 .The prevalence of recurrent ACL rupture is high, and ranges from 1 to 11% 2 .Additionally, the prevalence of secondary contralateral ACL injury is as high as 1 in 4 3 , which suggests an elevated risk of ACL injury among athletes who have undergone a, ACLR [4][5][6] .
There are several factors thought to contribute to secondary ACL injuries 7,8 .The most significant biomechanical factors are kinematic, neuromuscular and kinetic.Biomechanical factors include reduced knee flexion range of motion, increased internal rotation angle and valgus of the knee and decreased hip flexion and increased hip adduction 9,10 .Neuromuscular factors include smaller increases in activation of the vastus medialis, vastus lateralis, gastrocnemius lateralis, and changes in hamstring activation and co-contraction 6,11 .Kinetic factors include changes in the ground response forces and a decrease in the extensor torque of the knee and ankle 12,13 during dynamic activities including squat, single-leg drop landing (SLL), gait, and running 5 .To control joint motion and absorb the body's kinetic energy during landing, internal rotation of the hip, knee, and plantarflexion of the ankle moments must be created by eccentric muscle contractions 14 .
It appears that movement changes present in healthy participants or subjects with injuries may predispose them to further injuries based on the kinesio-pathologic model of musculoskeletal pain disorders 15,16 .Following

Participants and setting
Twenty elite female athletes who previously competed for Iran in taekwondo league first divisions or national teams participated in this cross-sectional study.Based on previous research 26 and utilizing G*Power version 3.1 software, with a significance level (α) of 0.05 and a power (β) of 0.10, using independent samples t-tests, a total sample size of 20 was required for this study.Based on the convenience sampling method, we included a total of 10 females with ACLR and 10 females without a history of ACL injury.Participants were referred to the biomechanics laboratory of Shahid Beheshti University of medical sciences, Tehran.Ethics approval for this research was obtained from the Research Ethics Committee of Allameh Tabataba'i University, Tehran (Ethical code: IR.ATU.REC.1400.030).
For the ACLR group, the surgery was carried out using a medial hamstring autograft performed at least 12 months prior to the study in their dominant leg (preferred leg to kicking the ball).All participants were right leg dominant.Athletes who had undergone a revision of their ACLR surgery, had concurrent knee ligament surgery, repairable meniscal damage, full-thickness articular cartilage damage or a history of a major lower extremity injury (such as a fracture were excluded) 26 .The participants were then given oral and written information about the study's objectives and procedures at a familiarization session and all athletes provided informed consent before participating in the study.For non ACLR group, female athletes who had no previous history of knee meniscal or ACL injuries were recruited.They were excluded if they had the history of lower extremity injuries during the last 3 months that resulted in at least one-day loss of training or competition, any history of orthopedic surgery in the lumbopelvic or lower extremities, or any current medical conditions that they need for medications.

Data sources
The analysis of the three-dimensional (3D) motion in the SLL task was conducted utilizing a configuration of eight digital cameras (VICON: 8 Vero; 2 Vantage, Oxford, UK).The kinematics of the joints were recorded at a frequency of 100 Hz, employing 36 retro-reflective markers placed strategically on specific anatomical landmarks such as the anterior superior iliac spine (ASIS) and posterior superior iliac spine (PSIS), femoral condyles and malleoli, heels, and the base of the first, second, and fifth metatarsals.These markers facilitated the determination of joint centers and segments of the lower extremities 27,28 .Additionally, four rigid-shell clusters were affixed to the athletes' thighs and legs to monitor the motion of these segments.Concurrently, kinetic data was collected using a force plate embedded in the ground.This plate captured ground reaction forces (FP4060-08, Bertec Corp., Columbus, OH, USA) at a sampling rate of 1000 Hz.
The athletes executed three attempts of the SLL task from a height of 30 cm, using the ACLR limb.Prior to the actual testing, the athletes were provided instructions on how to perform the SLL task, and each athlete underwent several practice trials 29 .In the SLL task, athletes descended from a 30 cm wooden box, landing the tested limb onto a ground-mounted force plate 29 while they were asked to maintain their hands on the hips.A trial was deemed successful if the athlete left the wooden box with both feet simultaneously, managed to land on the force plate with the tested limb, and maintained their balance 30 .The information obtained from the SLL trials underwent further processing through rigid-body analysis and inverse dynamics within Nexus software (v2.7,Vicon, Oxford, UK) to construct skeletal models representing the athletes.The data of dominant legs were analyzed for all participants.A fourth-order low-pass Butterworth filter with a cutoff frequency of 10 Hz was applied for filtering data.Joint moments were normalized by dividing them by the product of the athlete's mass and height (Nm/kg m).
Net joint forces (F-sources) and torques (T-sources) which are in charge of the motion that is being seen are the genuine sources of mechanical power that must be analyzed in order to transmit mechanical energy between body segments.The joint should have equal torques and reaction forces acting in opposite directions, according to Newton's third law ( T p j = −T d j andF p j = −F d j ).J represents the joint, d means the distal segment and p represents the proximal segment.All proximal joint torques were considered as positive values, and distal joint torques were considered as negative values.Net joint power (P j ) from which mechanical energy expenditure MEE (U j ) is calculated 25 : Aleshinsky introduces the concept of transferring mechanical energy (referred to as flow energy) within the context of single joint muscle actions [31][32][33][34] .Table 1 outlines all conceivable power flow situations or modes.Modes 1 and 4 (Table 1) signify scenarios in which adjoining links rotate in opposing directions, and muscles are not counterbalanced by segmental energy.Conversely, modes 2, 3, 5, and 6 (Table 1) symbolize situations where both segments rotate in the same direction, thus offsetting the effects of muscles 33 .The calculation of mechanical energy compensation (MEC) involves dividing the overall joint mechanical energy expenditure (G j ) by the net joint mechanical energy expenditure.
Joint MEE variables were broken down into three transfer conditions: concentric energy transfer ( ) and no energy transfer ( MEE 0 = MEE (mode1) + MEE (mode4) ).Moreover, the MEC was determined independently for eccentric and concentric energy transfer.It should be remembered that the MEC for non-transferable times is always zero. (1) Table 1.Kinematic and kinetic conditions associated to flow energy modes.

Power flow mode and conditions
Torque/velocity conditions Description P p < 0 , P d < 0 , P j < 0 The muscles absorb all energy, with the distal and proximal segments losing power The muscle absorbs the surplus power that exceeds what reaches the distal segment from the proximal segment The muscles are responsible for the extra power that enters the distal segment and exits the proximal segment Power enters the proximal and distal segments; the muscles are the only source of energy The proximal segment receives more power than the distal segment does, and the extra power is generated by the muscles T p j < 0 , ω p < 0 , ω d < 0, and ω p > ω d P p > 0 , P d < 0,P j < 0 The muscles absorb the surplus power that escapes from the distal segment and enters the proximal segment T www.nature.com/scientificreports/

Statistical methods
We conducted inferential analysis and descriptive statistics using SPSS version 21.The Shapiro-Wilk test was used to check the data's normality distribution.We used an independent t-test to assess the mean differences of the research variables across groups with and without ACLR for all variables, including demographics and eccentric and concentric mechanical energy compensation, as all data were normally dispersed.Effect sizes were reported based on the Partial Eta Squared values.A 95% (0.05) level of confidence was used for all analyses.

Ethics approval and consent to participate
Prior to starting the investigation, study approval was obtained from the Biomedical Research Ethics Committee of Allameh Tabataba'i University (Ethics code: IR.ATU.REC.1400.030),and all participants gave written informed consent.Authors confirm that all research was performed in accordance with relevant guidelines/regulations.

Results
Twenty athletes participated in this study.Table 2 provides an overview of the participant's demographic information.No differences in group demographics were observed.Independent t-tests were used to assess the eccentric and concentric mechanical energy compensation coefficients between female participants with and without ACLR.Ankle and knee MEE were higher in control participants.For the ankle and knee, data analyses indicated that the control group had higher MEE Ankle and knee (+) (−) and (0) compared with the ACLR group during landing.The result for the hip MEE demonstrated that the MEE hip (+) and (0) of the control group was significantly lower than those with a history of ACLR, but MEE hip (−) of the control subjects was higher for the ACLR group (Table 3, Fig. 1).

Discussion
The aim of this study was to compare energy flow mechanisms during landing between athletes with and without ACLR.Our results demonstrated that the ankle and knee MEE were higher in control participants than those who had undergone ACLR.The control participants had higher MEE Ankle and knee (+) (−) and (0) , lower hip MEE hip (+) and (0), and higher hip MEE hip (−) when compared with the ACLR group.As demonstrated in a previous study 35 in male participants, our research revealed noteworthy decreases in knee joint power within the ACLR group.Regarding the distribution of joint power, we discovered that the www.nature.com/scientificreports/dominant limbs that underwent ACL reconstruction exhibited a significantly lower proportion of power coming from the knee joint and a higher proportion originating from the hip joint, in comparison with both their unaffected counterparts and the dominant limbs of healthy individuals.Interestingly, the mean peak concentric hip joint power of ACLR limbs was not different from that of healthy controls (Fig. 1).These findings suggest that the elevated hip joint contribution observed in ACLR limbs might not stem from a shift of effort towards the hip, as implied by prior studies 36 .Instead, the hip joint of the ACLR limb seemed to contribute a greater relative proportion the overall limb power due to substantial power losses noted at the knee and ankle joints.The notable declines in peak knee joint power observed in ACLR limbs were linked to deficiencies in quadriceps strength 37 .
Earlier research has demonstrated that the uninvolved limb undergoes changes in jumping kinematics following ACLR; however, the driving factors behind these biomechanical alterations in performance remain unknown 38 .
The discoveries concerning changes in joint power during the SLL task provide intriguing insights into how landing performance is affected following ACLR.However, the availability of motion capture and advanced biomechanical movement analysis is limited for the majority of clinicians and patients.Defining specific cutoff values for quadriceps strength that can predict knee biomechanics during dynamic athletic tasks could offer valuable guidance for making more objective decisions about advancing through higher-level rehabilitation stages.Currently, there is no consensus regarding the appropriate timing for patients to engage in demanding sports activities like landing and sprinting, and most clinicians primarily rely on limb symmetry index measurements to gauge readiness 39,40 .Moreover, it seems that clinicians should train athletes with ACLR history on dynamic landing strategies, training proprioception, neuromuscular control, and mechanics with functional activities.
The landing of athletes with ACLR is significantly affected by the decreased energy expenditure and restricted capacity to make up for the effort performed by the muscles through energy transfer.Subjects with ACLR had a lower overall MEE at the ankle and knee than control participants, which may have been due to an effort to increase stability during the landing task.Athletes with ACLR generate more energy at the hip joint during landing than the control group, and this energy generation (without transfer) may cause kinematic changes during landing 41 .This trend could indicate a transition in the transfer of energy from the knee to the hip joint within the ACLR group, a phenomenon absents in the control group.The outcomes of this investigation propose that assessing the role of joints in the overall mechanical energy expenditure during single-leg drop landing could serve as a valuable method for identifying patients who might undergo compensatory biomechanical adjustments following ACL reconstruction.
The disability framework formulated by Nagi 42 and elaborated on by additional researchers 43,44 , underscores the significance of pinpointing limitations in mobility as a preventive measure against disability and subsequent injury.As mobility limitations often lead to the adoption of compensatory movement approaches, the recognition and comprehension of these strategies could play a pivotal role in formulating efficient intervention strategies.Investigating the interactions between body segments and muscles while moving allows for the use of mechanical energy [31][32][33][34] .We investigated the application of mechanical energy techniques to detect compensatory approaches employed by individuals with ACLR during SLL.While joint power indeed captures the overall impact of a muscle group on the mechanical energy of the whole body, it falls short in fully elucidating the muscle group's contribution to altering the energy status of specific body segments.The localized ramifications of energy transfer can far surpass the net joint power in magnitude and may even exhibit contrasting signs.The data indicated that negative joint power could actually raise segmental energy, while positive joint power might lead to a reduction in segmental energy.Overall, the current study showed that athletes with ACLR showed less energy transfer, absorption and production during SLL than control participants.
At different rates and years after ACLR, quadriceps strength deficits have been documented [45][46][47] .Despite the fact that the highest quadriceps strength losses are often noted in the first 6-12 months after surgery 48,49 , deficits of between 5 and 18% of the unaffected limb have been noted between 5 and 15 years after ACL restoration and intensive rehabilitation 50 .When compared with healthy matched controls, these quadriceps strength reductions following ACLR are reportedly somewhat bilateral.It has been proposed that reduced shock absorption during SLL and quadriceps avoidance gait patterns may be risk factors for chronic joint pathologies after ACL injury 51 .According to Nyland and colleagues, an ACL reconstructed knee may have altered neuromuscular control methods because there was an 11% decrease in quadriceps strength and a 7% increase in hamstring strength 52 .
Neuromuscular control is commonly defined as involuntary muscle engagement that contributes to maintaining dynamic stability within the joints 53 .After an ACL injury, issues related to quadriceps neuromuscular function, such as muscle weakness, failure in activation, and decreased torque development speed are widely acknowledged in the literature 54,55 .Quadriceps and hamstring muscles are frequently co-contracted by ACLR patients to stabilize the knee 56 .These differences showed that the clinicians should pay more attention on the athletes with ACLR to prevent further injuries.They may prescribe the rehabilitation programs in longer durations and more functional manner to decrease these differences.But we should keep in mind that the current study is a cross sectional study, also we are so not sure if ACLR patients had this strategy before their ACLR or not.
Individuals who have undergone ACLR displayed increased co-activation during functional activities.More specifically, voluntary activation of the quadriceps muscles during knee extension revealed heightened co-contraction of the medial and lateral hamstring muscles, suggesting that this co-contraction might hinder the mechanical efficiency of the quadriceps in those with ACLR 57 .The co-activation of the hamstrings in relation to the quadriceps is crucial for knee stability, aiming to decrease the tensile force applied to the ACL or graft tissue 56 .Insights from experiments involving simulated work on cadaveric knees 58 have demonstrated that higher co-activation of the hamstring muscles correlates with reduced strain on the ACL.Consequently, these findings suggest that elevated levels of co-activation could represent an adaptive strategy to better counteract anterior tibial shear and rotation during functional tasks, promoting dynamic knee stability.Recent research supports this, showing that individuals with increased co-activation were less susceptible to graft rupture 59 .Likewise, other researchers 60 found analogous connections between intralimb muscle strength (specifically the hamstring-to-quadriceps ratio) and the risk of graft rupture, collectively suggesting the relevance of intralimb muscle function and balance in preventing secondary injuries.
Interestingly, during everyday activities like walking and climbing stairs, co-activation levels were notably 2.75% to 10.72% higher.However, this increase was not observed in more dynamic athletic tasks such as doublelimb or single-limb landings.This suggests that individuals with ACLR might struggle to effectively transfer this compensatory pattern to sports activities where enhanced knee stability is desirable.On the contrary, elevated co-activation can lead to greater compressive forces around the knee and limited flexion-extension movement during dynamic tasks 61,62 .This represents an unfavorable outcome of this strategy during repetitive daily activities, since these limitations have been associated with cartilage degeneration and the development of posttraumatic knee osteoarthritis 61,63 .Additionally, heightened co-activation of the medial hamstring has been linked to increased loading on the medial tibiofemoral joint, potentially contributing to the observed higher incidence of post-traumatic osteoarthritis in the medial compartment 64 .
We should consider that the prevalence of recurrent ACL rupture is high, and ranges from 1 to 11% 2 .Additionally, the prevalence of secondary contralateral ACL injury is as high as 1 in 4 3 , which suggests an elevated risk of ACL injury among athletes who have undergone a, ACLR [4][5][6] .Even with a significant volume of research underscoring the significance of consistent evaluation of quadriceps strength following ACLR, nearly half of clinicians persist in relying solely on the duration since surgery as the primary factor to determine an individual's readiness to resume sports activities after ACLR 65 .While the period of 6-9 months post-surgery is frequently suggested for returning to competitive sports, the majority of athletes might not yet have achieved the physical readiness needed to perform at an elevated level 65 .

Limitations
This study has some limitations.For instance, the group of individuals who had undergone ACLR were assessed at the 12-month mark post-surgery.It remains unclear whether these irregular movement patterns normalize over time, which could provide insights into determining the optimal duration required for a successful return to sports (RTS).Furthermore, a considerable portion of the ACLR group in this study received a medial hamstring autograft.The research was conducted exclusively on dominant leg of female athletes, and its findings might differ for non-dominant leg or inactive women.Similarly, the outcomes of the study may exhibit variations within the community of male athletes.Although these findings are novel, they are only generalizable to single-leg drop landing and cannot be extrapolated to double-leg drop landing.Finally, this study had no objective data on patient reported outcomes and limb symmetry metrics that may be effective factors to explain the findings.

Conclusion
This research has presented initial indications that, one year following ACLR, a tendency for the quadriceps to avoid engagement in the reconstructed limb results in diminished knee joint power generation and a tendency to protect the knee during a SLL task.Recognizing that strength is a trainable physical attribute, medical professionals should prioritize the restoration of quadriceps strength in post-ACLR patients and assess their strength regularly throughout the rehabilitation process.Additionally, heightened co-activation of the medial hamstring has been linked to increased loading on the medial tibiofemoral joint, potentially contributing to the observed higher incidence of post-traumatic osteoarthritis in the medial compartment.

Figure 1 .
Figure 1.Mechanical energy expenditure during SLL.Standard deviation from the mean is represented by the error bars.Con concentric, Ecc eccentric, No no transfer, ACLR anterior cruciate ligament reconstruction.