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. 2020 Oct 2;15(10):e0240181. doi: 10.1371/journal.pone.0240181

The optimal duration of high-intensity static stretching in hamstrings

Kosuke Takeuchi 1,*, Masatoshi Nakamura 2
Editor: Andrew Philip Lavender3
PMCID: PMC7531788  PMID: 33007014

Abstract

Objectives

The purpose of this study was to compare the duration of high-intensity static stretching on flexibility and strength in the hamstrings.

Methods

Fourteen healthy males (20.8 ± 0.6 years, 170.7 ± 6.5 cm, 66.4 ± 9.9 kg) underwent high-intensity static stretching for three different durations (10, 15, and 20 seconds). The intensity of static stretching was set at the maximum point of discomfort. To examine the change in flexibility and strength, range of motion, peak passive torque, relative passive torque, muscle-tendon unit stiffness, peak torque of isokinetic knee flexion, and knee angle at peak torque of isokinetic knee flexion were measured. To evaluate a time course of pain, a numerical rating scale was described.

Results

Range of motion (P < 0.01), peak passive torque (P < 0.01), and knee angle at peak torque were increased at all interventions. Relative passive torque (P < 0.01) and muscle-tendon unit stiffness (P < 0.01) were decreased at all interventions. Peak torque decreased after 10 seconds of stretching (P < 0.05). Numerical rating scale during stretching was 8–9 levels in all interventions, the pain disappeared immediately after the post-measurements (median = 0).

Conclusion

The results suggested that muscle-tendon unit stiffness decreased regardless of duration of high-intensity static stretching. However, peak torque of isokinetic knee flexion decreased after 10 seconds of high-intensity static stretching, though it was no change after for more than 15 seconds of stretching.

Introduction

Static stretching (SS) is commonly used as a part of a warm-up routine in order to increase range of motion (ROM) and potentially prevent injuries [1]. Previous review studies reported that SS increases ROM effectively [25]. However, it is pointed out that the passive property of the muscle-tendon unit and tolerance for stretching influences ROM [57]. The passive property of the muscle-tendon unit is measured by using muscle-tendon unit stiffness, which is calculated from the slope of the torque-angle curve during passive joint movement [810]. On the other hand, tolerance for stretching is measured by peak passive torque during passive joint movement [1012]. ROM is defined as one at which the subject is able to have a maximally tolerable angle without pain. An increase in the passive torque during the passive joint movement indicated that the subjects received higher force without pain, which indicates that an increase of tolerance is obtained.

Previous studies reported that muscle-tendon unit stiffness is related to the occurrence of muscle-tendon injuries [1315]. Witvrouw et al. [16] suggested that a sufficient level of muscle-tendon unit compliance is needed for sports utilizing a stretch-shortening cycle to effectively store and release a high amount of elastic energy. In the case of insufficient muscle-tendon unit compliance, the demands in energy absorption and release may rapidly exceed the capacity of the muscle-tendon unit, which may cause a higher risk of injuries [6,17,18]. Many previous studies reported that SS decrease muscle-tendon unit stiffness effectively [7,19,20]. Therefore, SS used as a part of warm-up routine decreases muscle-tendon unit stiffness and could lead to preventing injuries.

The effects of SS on muscle-tendon unit stiffness is affected by its duration [9,21] and intensity [7,8,22]. Matsuo et al. [9] and Nakamura et al. [21] examined the duration of SS needed to decrease muscle-tendon unit stiffness of hamstrings, and they showed that three minutes of SS was needed to decrease the stiffness. However, previous studies reported the duration of SS used as a part of a warm-up routine is approximately 20 seconds [1,23]. In fact, Takeuchi et al. [22] reported that 20 seconds of SS in hamstrings does not change muscle-tendon unit stiffness. Moreover, Sato et al. [24] examined the influence of SS for 20 seconds in gastrocnemius muscle on shear elastic modulus, which is an indicator as a passive property of the muscle measured by using shear wave elastography, and showed the shear elastic modulus did not change after the stretching. These data suggest that SS for 20 seconds used as a part of a warm-up routine does not change muscle-tendon unit stiffness and may not be able to prevent injury as well. However, because many athletes practice within a limited time, it is difficult to perform SS for more than 180 seconds for each muscle. Therefore, it is necessary to develop an SS that can decrease muscle-tendon unit stiffness in 20 seconds.

The influence of SS is affected by its intensity as well as its duration [8,22]. Kataura et al. [8] examined the effect of different intensities of SS and reported that there was a significant moderate negative correlation between the intensity of SS and relative change in passive stiffness. Moreover, our previous study examined high-intensity of SS for 20 seconds in hamstrings and showed that muscle-tendon unit stiffness decreased after the stretching [22]. However, SS at high intensity is accompanied by moderate to severe pain [8,22]. Our previous study measured the pain level by using a numerical rating scale [NRS; 11-point scale raged from 0 (no pain) to 10 (worst imaginable pain)] [22]. The results indicated that median of NRS during SS at high intensity was 8, although NRS immediately after the stretching and 24 hours after the stretching were both 0 levels [22]. To minimize the pain during SS at high intensity, it is important to examine the optimal duration of the stretching.

A previous study investigating static stretching protocol reported that SS for less than 10 seconds was rarely performed [1]. On the other hand, SS for 10 to 19 seconds was frequently used [1]. Therefore, the purpose of this study was to compare the duration of high-intensity SS (10, 15, and 20 seconds) on flexibility and strength in the hamstrings and to clarify the optimal duration of SS at high intensity.

Materials and methods

Participants

Fourteen healthy men (20.8 ± 0.6 years, 170.7 ± 6.5 cm, 66.4 ± 9.9 kg) were recruited. Participants who regularly performed any flexibility and strength training or who had a history of lower limb pathology were excluded. The sample size was calculated with a power of 80%, alpha error of 0.05, and effect size of 0.25 (middle) using G*Power 3.1 software (Heinrich Heine University, Düsseldorf, Germany), and the results showed that the requisite number of participants for this study was 14. All participants were informed of the requirements and risks associated with their involvement in this study and signed a written informed consent document. The study was performed in accordance with the Declaration of Helsinki (1964). The Ethics Committee of Kobe International University approved the study.

Procedure

The purpose of the present study was to examine the optimal duration of high-intensity SS in hamstrings. For this purpose, the participants underwent three different duration of high-intensity SS (10 sec, 15 sec, and 20 sec) in the right hamstrings, in random order. The participants visited three times on a separate day, with an interval of one week. Participants attended a familiarization session at least 24 hours before the first testing day. To evaluate any alteration of flexibility and strength of the right hamstrings, ROM, passive torque, peak torque during isokinetic knee flexion and knee angle at peak torque of isokinetic knee flexion were measured before and after each SS. In addition, NRS was examined during SS, immediately after the post-measurement, and 24 hours after SS. The experiment was performed in a university laboratory, where the temperature was maintained at 25 degrees C.

Flexibility assessment

The flexibility assessment was performed in the same fashion as a previous study [8,22]. The previous study reported that the reliability of the measurements used in this study was acceptable [8]. An isokinetic dynamometer machine (CYBEX NORM, Humac, California, USA) was used in the present study. This study used a sitting position in which the hip joint was flexed, which has been shown to efficiently stretch the hamstrings [8]. The participants were seated on a chair with the seat tilted maximally, and a wedge-shaped cushion was inserted between the trunk and the backrest, which set the angle between the seat and the back at approximately 60 degrees. The previous study, which used the same assessment, reported that the average angle of hip flexion was 111.2 ± 2.5 degrees [8]. The chest, pelvis, and right thigh were stabilized with straps. The right knee joint was aligned with the axis of the rotation of the isokinetic dynamometer machine. The lever arm attachment was placed just proximal to the malleolus medialis and stabilized with straps. In the present study, reported knee angles were measured using the isokinetic dynamometer machine. A 90-degree angle between the lever arm and floor was defined as 0 degrees of knee flexion/extension. The participants were instructed to relax during the flexibility assessment.

ROM

The knee joint was passively extended from 0 degrees to maximum angle without pain at 5 degrees/seconds. A previous study showed that the velocity does not cause stretch reflex [25]. ROM was defined as the range from 0 degrees to the maximum knee extension angle.

Passive torque

The passive torque during ROM measurement was recorded in the isokinetic dynamometer machine. Passive torque was obtained at two points [11]. (1) relative passive torque was obtained at the same knee angle reached before SS to examine changes in passive properties of the muscle-tendon unit. (2) Peak passive torque was obtained at maximum ROM both before and after SS to examine tolerance for stretching.

Calculation of muscle-tendon unit stiffness

Muscle-tendon unit stiffness was defined as the values of the slope of the regression line that was calculated from the torque-angle relationship using the least-squares method [10]. Muscle-tendon unit stiffness was calculated from the same knee extension angle range before and after SS. The calculated knee extension angle range was defined as the angle from the 50% maximum knee extension angle to the maximum knee extension angle measured before SS [8,9,22].

Peak torque and knee angle during maximum voluntary isokinetic knee flexion

The peak torque of knee flexion during maximum voluntary isokinetic knee flexion at 60 degrees/second was measured. The participants were secured on the isokinetic dynamometer machine in the same fashion as the measurement of ROM. The range of the measurement was set from 0 degrees to maximum knee extension angle. The participants performed three submaximal isokinetic knee flexion as a warm-up trial. After the warm-up trial, the participants performed three maximum isokinetic knee flexion as muscle strength measurement. The greatest values of three isokinetic knee flexion were used for the analyses as the peak torque. The joint angle at the peak torque was provided by the isokinetic dynamometer machine.

Numerical rating scale

The level of pain during SS, immediately after the post-measurement, and 24 hours after SS were quantified by an 11-point NRS that ranged from 0 (no pain) to 10 (worst imaginable pain) [8,22].

Static stretching

SS was performed on the isokinetic dynamometer machine in the same fashion as the measurement of ROM. The knee joint was passively extended from 0 degrees to the angle at the maximum point of discomfort [22]. The angle was held for three different duration (10 sec, 15 sec, and 20 sec). Thereafter, the knee joint was passively returned to 0 degrees. The participants received one set of stretching at each different duration. The participants were instructed to relax during each stretch. The percent change in angle during SS respect to ROM before the stretching was defined as the intensity of the stretching [8,22].

Statistical analyses

All variables except NRS were described as mean ± SD in the present study. NRS was described as a median. A one-way repeated measure analysis of variance was used to examine the difference in intensity of SS. For variables except for NRS, a two-way repeated measures analysis of variance was used to examine the effects of intervention (10 sec vs. 15 sec vs. 20 sec) and time (pre vs. post). For NRS, a two-way repeated-measures analysis of variance was used to examine the effects of intervention (10 sec vs. 15 sec vs. 20 sec) and time (during SS vs. immediately after the post-measurements vs. 24 hours after SS). If a significance was detected, post hoc analyses using Bonferroni’s test were performed. Spearman’s rank correlation coefficient was conducted between the intensity of SS and relative change of ROM, relative passive torque, peak passive torque, and muscle-tendon unit stiffness. The analyses were performed using SPSS version 25 (SPSS, Inc., Chicago, IL, USA). Differences were considered statistically significant at an alpha level of p < 0.05. To describe the effect size, the partial eta squared value was calculated by using the SPSS software.

Results

Intensity of SS

The intensity of SS for each intervention were as follows: 10 sec, 137.9 ± 11.4%; 15 sec, 128.9 ± 12.7%; 20 sec, 130.3 ± 8.6%. There was no significant difference in intensity of SS between interventions (p = 0.07, partial eta squared = 0.19).

ROM

For ROM, there was no significant two-way interaction (intervention × time, p = 0.12, partial eta squared = 0.10) and no main effect for intervention (p = 0.37, partial eta squared = 0.05), but there was significant main effect for time (p < 0.01, partial eta squared = 0.75) (Fig 1). ROM increased after the stretching (p < 0.01).

Fig 1. Effects of stretching on changes in ROM (A), relative passive torque (B), peak passive torque (C), and muscle-tendon unit stiffness (D).

Fig 1

*p < 0.01 (pre vs. post).

Relative passive torque

For relative passive torque, there was no significant two-way interaction (intervention × time, p = 0.63, partial eta squared = 0.02) and no main effect for intervention (p = 0.84, partial eta squared = 0.01), but there was significant main effect for time (p < 0.01, partial eta squared = 0.86) (Fig 1). Relative passive torque decreased after each SS (p < 0.01).

Peak passive torque

For peak passive torque, there was no significant two-way interaction (intervention × time, p = 0.42, partial eta squared = 0.04) and no main effect for intervention (p = 0.49, partial eta squared = 0.04), but there was significant main effect for time (p < 0.01, partial eta squared = 0.22) (Fig 1). Peak passive torque increased after the stretching (p < 0.01).

Muscle-tendon unit stiffness

For muscle-tendon unit stiffness, there was no significant two-way interaction (intervention × time, p = 0.62, partial eta squared = 0.02) and no main effect for intervention (p = 0.78, partial eta squared = 0.01), but there was significant main effect for time (p < 0.01, partial eta squared = 0.84) (Fig 1). Muscle-tendon unit stiffness decreased after the stretching (p < 0.01).

Peak torque of isokinetic knee flexion

For peak torque of isokinetic knee flexion, there was significant two-way interaction (intervention × time, p < 0.05, partial eta squared = 0.15) (Fig 2). Post hoc analysis revealed that the peak torque decreased after 10 sec of SS (p < 0.05) while there was no change after 15 and 20 sec of SS (p = 0.96, 0.30, respectively).

Fig 2. Effects of stretching on changes in peak torque of isokinetic knee flexion (A) and knee angle at peak torque of isokinetic knee flexion (B).

Fig 2

*p < 0.05 (pre vs. post). p < o.o1 (pre vs. post).

Knee angle at peak torque of isokinetic knee flexion

For knee angle at peak torque of isokinetic knee flexion, there was no significant two-way interaction (intervention × time, p = 0.42, partial eta squared = 0.04) and no main effect for intervention (p = 0.52, partial eta squared = 0.03), but there was significant main effect for time (p < 0.01, partial eta squared = 0.52) (Fig 2). The knee angle increased after the stretching (p < 0.01).

NRS

For NRS, there was no significant two-way interaction (intervention × time, p = 0.54, partial eta squared = 0.04) and no main effect for intervention (p = 0.72, partial eta squared = 0.02), but there was significant main effect for time (p < 0.01, partial eta squared = 0.98). NRS during SS [median values (interquartile range):10 sec = 9 (8–9), 15 sec = 8 (8–9), 20 sec = 8 (8–9)] indicated higher values compared with those immediately after the post-measurements [median values (interquartile range): 0 (0 = 0) in all interventions] (p < 0.01) and 24 hours after SS [median values (interquartile range): 0 (0 = 0) in all interventions] (p < 0.01).

Correlation between intensity and measurements of flexibility

There was significant correlations between intensity of SS and the relative change in ROM (10 sec, r = 0.88, p < 0.01; 15 sec, r = 0.94, p < 0.01; 20 sec; r = 0.52, p < 0.05), relative passive torque (10 sec, r = -0.62, p < 0.05; 15 sec, r = -0.78, p < 0.01; 20 sec, r = -0.72, p < 0.01), and muscle-tendon unit stiffness (10 sec, r = -0.61, p < 0.05; 15 sec, r = -0.74, p < 0.01; 20 sec, r = -0.62, p < 0.05). On the other hand, there was no significant correlations between intensity of SS and relative change in peak passive torque (10 sec, r = 0.51, p = 0.07; 15 sec, r = 0.29, p = 0.32; 20 sec, r = 0.14, p = 0.63).

Discussion

In this study, SS was performed at the angle where the maximum point of discomfort. The results showed that there was no significant difference in the intensity of SS between interventions. In addition, there was no significant difference in NRR during SS between interventions. These results indicated that the participants received SS at similar intensity subjectively and objectively regardless of the duration of SS.

In the present study, regardless of the interventions, ROM and peak passive torque significantly increased but relative passive torque and muscle-tendon unit stiffness significantly decreased. Alteration in ROM after SS are attributed to alterations in passive property of the muscle and tolerance for stretching [57]. In the present study, relative passive torque [11] and muscle-tendon unit stiffness [7,10,19] were measured as indicators of the passive property of the hamstrings, and peak passive torque was measured as an indicator of tolerance for stretching [10,26,27]. Previous studies showed that ROM and peak passive torque increased, but muscle-tendon unit stiffness of the hamstrings decreased after high-intensity SS for 20 [22] and 180 seconds [8]. These results suggested that the effects of the duration of high-intensity SS was small, and the stretching increased ROM through a decrease in relative passive torque and muscle-tendon unit stiffness and an increase in tolerance for stretching.

In all interventions, there were significant correlations between the intensity of SS and relative changes in ROM, relative passive torque, and muscle-tendon unit stiffness. However, there were no significant correlations between the intensity of SS and peak passive torque. Our previous study examined the effects of high-intensity SS for 20 seconds and showed that there were significant correlations between the intensity of SS and ROM, muscle-tendon unit stiffness, and peak passive torque [22]. While, Kataura et al. [8] examined the effect of high intensity of SS for 180 seconds in hamstrings and reported that there were significant correlations between the intensity of SS and ROM and passive stiffness, though there was no significant correlation between the intensity of SS and peak passive torque. From these three studies, when the high-intensity SS is performed, it is suggested that the intensity of SS is important for the change in ROM and passive property of the hamstrings. On the other hand, no consensus has been obtained regarding the relationship between the intensity of SS and changes in tolerance for stretching. Although the details of the mechanisms for the increase in tolerance for stretching are unclear, previous studies have reported that the increase in stretch tolerance was attributed to decrement in the perceptions of pain and discomfort accompanied by a change of neural and psychological factors after stretching [28,29]. Previous studies reported that change in ROM after SS at the intensity of no pain is more affected by stretch tolerance than passive properties [30,31]. The change in tolerance for stretching after high-intensity SS needs to be studied in more detail.

In the present study, the peak torque of isokinetic knee flexion was decreased after SS for 10 seconds, while it was no change after SS for 15 and 20 seconds. In our previous study, the peak torque was not changed after high-intensity SS for 20 seconds [22], and in this regard, the results of the present study support the previous study. The alteration in muscle strength after SS is attributed to an alteration in muscle-tendon unit stiffness [32,33] and neural activity [3437]. SS theoretically decreases the force transfer efficiency from the muscle to the skeleton [38] with the decrement in muscle-tendon unit stiffness [32,33] and rightward shift of torque-angle curve [3941]. Trajano et al. [35] reported that central factors were strongly related to the torque reduction immediately after SS and during torque recovery. In the present study, decrement in muscle-tendon stiffness and increment in knee angle at peak torque of isokinetic knee flexion were found regardless of its duration. Increment in the knee angle at peak torque indicated a rightward shift of torque angle curve [41]. Therefore, it is suggested that the difference in peak torque of isokinetic knee flexion was caused by neural activity because there were no differences in changes in muscle-tendon unit stiffness and knee angle at peak torque between interventions.

Previous studies reported that sympathetic nerve activity is activated following pain and discomfort levels [42,43]. The sympathetic nerve plays a crucial role in blood flow and neural activity during muscle contraction [44]. In the present study, NRS during SS was 8–9 levels in all interventions, which indicated that the participants felt severe pain. To our best knowledge, it has not been examined to the extent of stretching stimulation required for sympathetic nerve excitation. However, it is possible that 10 seconds of high-intensity SS was insufficient for sympathetic nerve excitation, and the sympathetic nerve excitation required for more than 15 seconds of the stretching. Therefore, it is suggested that the peak torque of isokinetic knee flexion was decreased because of the decrement in muscle-tendon unit stiffness after 10 seconds of high-intensity SS. while the effect of the decrement in the stiffness would be offset by an increment in sympathetic nerve activity after 15 and 20 seconds of the stretching. However, the present study did not measure sympathetic nerve activity. In addition, EMG activity of the hamstrings could not be measured because the right thigh was stabilized to the seat with a strap in order to accurately perform measurements and interventions. It is necessary to examine the changes in neural activity after high-intensity SS in detail in order to clarify the mechanism of change in the peak torque of isokinetic knee flexion after the stretching.

In the present study, NRS was 8–9 levels during SS, which indicated that participants felt severe pain. However, the pain was disappeared immediately after the post-measurements, and there was no pain 24 hours after SS. These results are consistent with our previous study [22]. These data suggested that risk of high-intensity SS may be low for healthy men. However, Apostolopoulos [45] compared the effects of high- (70%-80% maximum perceived stretch) and low-intensity (30%-40% maximum perceived stretch) SS on recovery from unaccustomed eccentric exercise. They showed that low-intensity stretching is likely to result in small-to-moderate beneficial effects on perceived muscle soreness and recovery of muscle function post-unaccustomed eccentric exercise [45]. Therefore, it is necessary to investigate the safety of high-intensity SS for the persons with muscle-tendon disorders.

In summary, the results showed that muscle-tendon unit stiffness decreased regardless of its duration. However, peak torque of isokinetic knee flexion, which is an indicator of muscle strength of the hamstrings, decreased after high-intensity SS for 10 seconds, although there was no change after more than 15 seconds of high-intensity SS. The decrement in muscle strength after SS is restored within 10 minutes [33]. Moreover, performing activities (jumps and sprints) following SS can mitigate the negative effects of SS [46,47]. These data suggested that if athletes elect to stretch statically, they need to choose the duration of high-intensity SS taking into account their subsequent activities. Athletes who need great muscle strength immediately after high-intensity SS without any activities should use more than 15 seconds of stretching. If athletes have more than 10 minutes or perform activities after high-intensity SS, they should use 10 seconds of high-intensity SS to minimize the pain.

Conclusions

The present study showed that, regardless of the duration of SS, ROM and peak passive torque increased, but relative passive torque and muscle-tendon unit stiffness decreased. Peak torque of isokinetic knee flexion decreased after 10 seconds of high-intensity SS. High-intensity SS for 10 seconds could be useful to increase flexibility and prevent injuries. However, athletes should use high-intensity SS for more than 15 seconds when they need great muscle strength immediately after stretching.

Supporting information

S1 File

(XLSX)

Data Availability

All relevant data are within the manuscript and its Supporting Information files.

Funding Statement

The authors received no specific funding for this work.

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Decision Letter 0

Andrew Philip Lavender

17 Aug 2020

PONE-D-20-18359

The optimal duration of high-intensity static stretching in hamstrings

PLOS ONE

Dear Dr. Takeuchi,

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Reviewer #2: Yes

**********

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Reviewer #2: Yes

**********

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Reviewer #2: Yes

**********

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Reviewer #2: Yes

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Reviewer #1: Thank you for the opportunity to review this manuscript. I commend the authors for undertaking this research project.

General comments: A concern that I have is of a practical nature. Static stretching is rarely ever performed in isolation prior to competing in sport or participating in exercise. It is known that high volume static stretching can dampen muscular strength/power performance. However, it is also known that performing an activity (jumps and sprints) specific warm-up following a static stretching protocol can mitigate the negative consequences of the static stretch (Samson et al. 2012 - Journal of Sports Science and Medicine; Young et al. 2006 J sports med and physical fitness). I question whether the practitioners as end users of this manuscript will be able to utilize these findings to inform their practice.

Specific Comments:

Abstract:

Line 17- 'the' hamstrings

Line 20 - change men to 'males'

Line 29 - there is an extra space between torque and (P<0.01)

Line 34 - there appears to be a subheading 'interpretation' with no information following it

Introduction:

General - there are numerous missing words. I have done my best to indicate where and what they are but may have missed some.

Line 44 - The effectiveness of static stretching for injury prevention is debatable it is recommended that the authors change wording to say "potentially" prevent injuries.

Line 45 - change to increases and att 'the' prior to muscle-tendon unit.

Line 46 - change to influences ROM.

Line 48- add 'the' prior torqu anngle curve

Line 53 - conducted should be changed to 'utilising'

Line 54 - in 'the' case off

Line 62 - the number 3 should be spelled out in full

Line 72 - Do we always want to decrease stiffness? For activities such as jumping, sprinting and changing directions stiffness is beneficial.

Methods:

General- Unclear howm many repetitions of each static stretch were undertaken? The authors do not mention the reliability of these measurements.

Specific

Line 174 - 'Analysis' of variance

Statistical analysis:

No mention of the calculation of effects via partial eta squared however they are presented in the results section.

No mention of correlations was made in this section however correlational results are presented (Lines 249-256)

Conclusions:

There could be more information surrounding the practical implications of the results.

Reviewer #2: The paper is clearly written, and I found it easy to follow for the most part. There are some minor grammar or editing errors to correct, and some more clarity needed in the methods.

Introduction:

• Line 45: “increases”.

• Line 45: “that the passive property of the muscle-tendon unit”…

• Lines 46-50: It’s not clear to me what the difference in the measurements reported here is. Please clarify.

• The reference used to justify the link between muscle-tendon unit stiffness, and injury risk, is quite dated. In the last 20 years there has been a significant body of research that examines static stretching and injury risk, which seems to have been ignored here. It is important that this is addressed in the introduction.

• Line 59: delete “it”

• Line 69: should read “did not change” or “was not changed”

• Line 83: I’m not sure that “demerit” is the word the authors are looking for here, but it's not clear to me what is meant.

Materials and Methods:

• The authors make a point of specifying that 20 sec was the stretching duration they wanted to assess. And this is the first mention of 10 sec and 15 sec. A justification for these durations in the introduction would be helpful.

• Mostly methods were very well reported. However, I’m a little unclear about how the stretch was obtained. What was the hip angle during stretching and testing? This will have a significant impact on the stretch that is felt at different angles of knee extension, but I can’t see this reported anywhere.

• Line 174: “one-way repeated measures analysis of variance”

• The data analysis was very clear and detailed.

Results:

• I’m not sure about the need for Table 1. This is hardly a key result, and is not very informative, so this can be reported in the text. I’m not even sure the statistical analysis reported is necessary here, other than to compare the conditions during stretching.

Discussion:

• Paragraph starting Line 294 needs to be broken up. There are a number of ideas here, and this is hard to follow.

• Line 320: is a word missing here?

• Line 334: “person”

• Line 338: is “fore” an extra work here?

**********

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Reviewer #1: Yes: Scott Talpey

Reviewer #2: Yes: Daniel Jolley

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PLoS One. 2020 Oct 2;15(10):e0240181. doi: 10.1371/journal.pone.0240181.r002

Author response to Decision Letter 0


28 Aug 2020

Response to reviewers:

We wish to express our strong appreciation to the Reviewers for their insightful comments on our paper. In this response letter, the line numbers for the manuscript labeled “Revised Manuscript with Track change” are shown.

Response to Reviewer #1

Comment 1:

General comments: A concern that I have is of a practical nature. Static stretching is rarely ever performed in isolation prior to competing in sport or participating in exercise. It is known that high volume static stretching can dampen muscular strength/power performance. However, it is also known that performing an activity (jumps and sprints) specific warm-up following a static stretching protocol can mitigate the negative consequences of the static stretch (Samson et al. 2012 - Journal of Sports Science and Medicine; Young et al. 2006 J sports med and physical fitness). I question whether the practitioners as end users of this manuscript will be able to utilize these findings to inform their practice.

Response 1:

Thank you for the comment. As you indicated, performing activities can mitigate the negative effects of static stretching such as decrement in muscle strength (Young et al. 2006 J sports med and physical fitness). Therefore, it is possible that a decrement in muscle strength after 10 seconds of high-intensity static stretching can be offset by performing activities after the stretching. We considered that the point was important for the practitioners to utilize our findings in their practice. We changed the text as follows.

From

“In summary, the results showed that muscle-tendon unit stiffness decreased regardless of its duration. However, peak torque of isokinetic knee flexion, which is an indicator of muscle strength of hamstrings, decreased after high-intensity SS for 10 seconds, though it was no change after fore more than 15 seconds of high-intensity SS. The decrement in muscle strength after SS is restored within 10 minutes [31]. These data suggested that athletes should need to choose the duration of high-intensity SS taking into account their subsequent activities. Athletes who need great muscle strength immediately after high-intensity SS should use for more than 15 seconds stretching. If there is more than 10 minutes after high-intensity SS, athletes should use for 10 seconds of high-intensity SS to minimize the pain.”

To

“In summary, the results showed that muscle-tendon unit stiffness decreased regardless of its duration. However, peak torque of isokinetic knee flexion, which is an indicator of muscle strength of the hamstrings, decreased after high-intensity SS for 10 seconds, although there was no change after more than 15 seconds of high-intensity SS. The decrement in muscle strength after SS is restored within 10 minutes [31]. Moreover, performing activities (jumps and sprints) following SS can mitigate the negative effects of SS [46,47]. These data suggested that if athletes elect to stretch statically, they need to choose the duration of high-intensity SS taking into account their subsequent activities. Athletes who need great muscle strength immediately after high-intensity SS without any activities should use more than 15 seconds of stretching. If athletes have more than 10 minutes or perform activities after high-intensity SS, they should use 10 seconds of high-intensity SS to minimize the pain.” (Line 352-362)

Comment 2:

Abstract:

Line 17- 'the' hamstrings

Response 2:

Thank you for the comment. We revised it. (Line 17)

Comment 3:

Line 20 - change men to 'males'

Response 3:

Thank you for the comment. We revised it. (Line 20)

Comment 4:

Line 29 - there is an extra space between torque and (P<0.01)

Response 4:

Thank you for the comment. We revised it. (Line 29)

Comment 5:

Line 34 - there appears to be a subheading 'interpretation' with no information following it

Response 5:

Thank you for the comment. The subheading was unnecessary. We omitted it. (Line 34)

Comment 6:

Line 44 - The effectiveness of static stretching for injury prevention is debatable it is recommended that the authors change wording to say "potentially" prevent injuries.

Response 6:

Thank you for the comment. As you indicated, the effectiveness of static stretching for injury prevention is debatable. Therefore, we revised the text in accordance with your comment. (Line 44)

Comment 7:

Line 45 - change to increases and att 'the' prior to muscle-tendon unit.

Response 7:

Thank you for the comment. We revised it. (Line 45)

Comment 8:

Line 46 - change to influences ROM.

Response 8:

Thank you for the comment. We revised it. (Line 46)

Comment 9:

Line 48- add 'the' prior torqu anngle curve

Response 9:

Thank you for the comment. We revised it. (Line 48)

Comment 10:

Line 53 - conducted should be changed to 'utilizing'

Response 10:

Thank you for the comment. We revised it. (Line 56)

Comment 11:

Line 54 - in 'the' case off

Response 11:

Thank you for the comment. We revised it. (Line 57)

Comment 12:

Line 62 - the number 3 should be spelled out in full

Response 12:

Thank you for the comment. We revised it. (Line65)

Comment 13:

Line 72 - Do we always want to decrease stiffness? For activities such as jumping, sprinting and changing directions stiffness is beneficial.

Response 13:

Thank you for the comment. The main purposes of the static stretching are to increase flexibility and to prevent injuries (Kosuke Takeuchi, International Journal of Sport and Health Science, 2019). From the viewpoint of achieving the purposes of the static stretching, decrement in muscle-tendon unit stiffness is important. However, static stretching theoretically decreases the force transfer efficiency from the muscle to the skeleton and causes several performance deficits, as you indicated. Therefore, as described in Response 1, it is necessary to consider the change in performance when using high-intensity static stretching. Regarding this point, it is described in the Discussion section (Line 352-363).

Comment 14:

Methods:

General- Unclear how many repetitions of each static stretch were undertaken? The authors do not mention the reliability of these measurements.

Response 14:

Thank you for the comment. The participants received one set of high-intensity static stretching at different durations. We added following sentence.

“The participants received one set of stretching at each different duration.” (Line 178-179)

The previous study reported that the reliability of the measurements used in this study were acceptable (Hatano et al., Journal of Strength and Conditioning Research, 2017). We added the following sentence.

“The previous study reported that the reliability of the measurements used in this study was acceptable [8].” (Line 122-123)

Comment 15:

Specific

Line 174 - 'Analysis' of variance

Response 15:

Thank you for the comment. We revised it. (Line 185)

Comment 16:

Statistical analysis:

No mention of the calculation of effects via partial eta squared however they are presented in the results section.

Response 16:

Thank you for the comment. The values of partial eta squared was calculated by using SPSS ver 25. We added the following sentence in the Statistical Analyses section.

“To describe the effect size, the partial eta squared value was calculated by using the SPSS software.” (Line 195-197)

Comment 17:

No mention of correlations was made in this section however correlational results are presented (Lines 249-256)

Response 17:

Thank you for the comment. We described the analyses of correlations (Line 192-194). Please confirm it.

Comment 18:

Conclusions:

There could be more information surrounding the practical implications of the results.

Response 18:

Thank you for the comment. In accordance with the comment, we added the practical implications in the Conclusions section.

“High-intensity SS for 10 seconds could be useful to increase flexibility and prevent injuries. However, athletes should use high-intensity SS for more than 15 seconds when they need great muscle strength immediately after stretching.” (Line 369-371)

Response to Reviewer #2

Comment 1:

Introduction:

Line 45: “increases”.

Response 1:

Thank you for the comment. We revised it. (Line 45)

Comment 2:

Line 45: “that the passive property of the muscle-tendon unit”…

Response 2:

Thank you for the comment. We revised it. (Line 45)

Comment 3:

Lines 46-50: It’s not clear to me what the difference in the measurements reported here is. Please clarify.

Response 3:

Thank you for the comment. To clarify the difference in the measurements reported here. We changed the text as follows.

From

“However, it is pointed out that the passive property of the muscle-tendon unit and tolerance for stretching influences ROM [5–7]. The passive property of the muscle-tendon unit is measured by using muscle-tendon unit stiffness, which is calculated from the torque-angle curve during passive joint movement [8–10]. On the other hand, tolerance for stretching is measured peak passive torque during passive joint movement [10–12].”

To

“However, it is pointed out that the passive property of the muscle-tendon unit and tolerance for stretching influences ROM [5–7]. The passive property of the muscle-tendon unit is measured by using muscle-tendon unit stiffness, which is calculated from the slope of the torque-angle curve during passive joint movement [8–10]. On the other hand, tolerance for stretching is measured by peak passive torque during passive joint movement [10–12]. ROM is defined as one at which the subject is able to have a maximally tolerable angle without pain. An increase in the passive torque during the passive joint movement indicated that the subjects received higher force without pain, which indicates that an increase of tolerance is obtained.” (Line 45-53)

Comment 4:

The reference used to justify the link between muscle-tendon unit stiffness, and injury risk, is quite dated. In the last 20 years there has been a significant body of research that examines static stretching and injury risk, which seems to have been ignored here. It is important that this is addressed in the introduction.

Response 4:

Thank you for the comment. In accordance with the comment, we added references to this section (Line 60)

Comment 5:

Line 59: delete “it”

Response 5:

Thank you for the comment. We revised it. (Line 62)

Comment 6:

Line 69: should read “did not change” or “was not changed”

Response 6:

Thank you for the comment. We revised it. (Line 72)

Comment 7:

Line 83: I’m not sure that “demerit” is the word the authors are looking for here, but it's not clear to me what is meant.

Response 7:

Thank you for the comment. We revised the text as follow.

“To minimize the pain during SS at high intensity, it is important to examine the optimal duration of the stretching.” (Line 87-89)

Comment 8:

Materials and Methods:

The authors make a point of specifying that 20 sec was the stretching duration they wanted to assess. And this is the first mention of 10 sec and 15 sec. A justification for these durations in the introduction would be helpful.

Response 8:

Thank you for the comment. We revised the Introduction sections as follow.

From

“The purpose of this study was to compare the duration of high-intensity SS (10, 15, and 20 seconds) on flexibility and strength in hamstrings and to clarify the optimal duration of SS at high intensity.”

To

“A previous study investigating static stretching protocol reported that SS for less than 10 seconds was rarely performed [1]. On the other hand, SS for 10- to 19 seconds was frequently used [1]. Therefore, the purpose of this study was to compare the duration of high-intensity SS (10, 15, and 20 seconds) on flexibility and strength in the hamstrings and to clarify the optimal duration of SS at high intensity.” (Line 90-94)

Comment 9:

Mostly methods were very well reported. However, I’m a little unclear about how the stretch was obtained. What was the hip angle during stretching and testing? This will have a significant impact on the stretch that is felt at different angles of knee extension, but I can’t see this reported anywhere.

Response 9:

Thank you for the comment. A previous study used in this measurement reported that the average angle of hip flexion was 111.2 ± 2.5 degrees. We added the following sentence to the Flexibility Assessment section.

“The previous study, which used the same assessment, reported that the average angle of hip flexion was 111.2 ± 2.5 degrees [8].” (Line 128-129)

Comment 10:

Line 174: “one-way repeated measures analysis of variance”

Response 10:

Thank you for the comment. We revised it. (Line 185)

Comment 11:

Results:

I’m not sure about the need for Table 1. This is hardly a key result, and is not very informative, so this can be reported in the text. I’m not even sure the statistical analysis reported is necessary here, other than to compare the conditions during stretching.

Response 11:

Thank you for the comment. In accordance with your comment, we reported the results of NRS in the text. (Line 251-258)

Comment 12:

Discussion:

Paragraph starting Line 294 needs to be broken up. There are a number of ideas here, and this is hard to follow.

Response 12:

Thank you for the comment. We divided the paragraph into two. The first paragraph discussed the results of the present study. The next paragraph discussed the sympathetic nerve.

Comment 13:

Line 320: is a word missing here?

Response 13:

Thank you for the comment. We revised the sentence. (Line 337)

Comment 14:

Line 334: “person”

Response 14:

Thank you for the comment. We revised it. (Line 351)

Comment 15:

Line 338: is “fore” an extra work here?

Response 15:

Thank you for the comment. We omitted the word. (Line 355)

Attachment

Submitted filename: Resonse to Reviewers.docx

Decision Letter 1

Andrew Philip Lavender

22 Sep 2020

The optimal duration of high-intensity static stretching in hamstrings

PONE-D-20-18359R1

Dear Dr. Takeuchi,

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.

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Kind regards,

Andrew Philip Lavender, PhD

Academic Editor

PLOS ONE

Acceptance letter

Andrew Philip Lavender

25 Sep 2020

PONE-D-20-18359R1

The optimal duration of high-intensity static stretching in hamstrings

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