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Journal of Pain Research logoLink to Journal of Pain Research
. 2025 Jun 15;18:2993–3008. doi: 10.2147/JPR.S519242

Differences in the Effectiveness of Different Physical Therapy Modalities in the Treatment of Delayed-Onset Muscle Soreness: A Systematic Review and Bayesian Network Meta-Analysis

Jing Chen 1,2,3,*, Qing Hu 1,2,*, Jiajie Hu 1,2, Songtao Liu 1,2, Linyu Yin 1,2,
PMCID: PMC12178262  PMID: 40538474

Abstract

Purpose

Delayed-onset muscle soreness (DOMS) is a common clinical condition that frequently affects various populations. Physical therapy offers distinct advantages in managing this condition. However, many recently published studies have produced conflicting results and lack compelling evidence, complicating clinicians’ decision making. We employed a Bayesian meta-analysis to assess the efficacy and safety of physical therapy modalities (PTMs) for DOMS, aiming to provide robust, evidence-based medical insights for clinical application.

Patients and Methods

We conducted a comprehensive search for randomized controlled trials (RCTs) evaluating PTMs for DOMS across databases, including CNKI, CSCD, CCD, CBM, PubMed, EMbase, Cochrane Library, and Web of Science, until October 22, 2024. The included studies were assessed for risk of bias using the Cochrane Risk of Bias Assessment tool, tailored for RCTs. A network meta-analysis was performed using R v.4.2.2.

Results

At 24 hours post-intervention, photobiomodulation therapy(PBMT) demonstrated a significant advantage over placebo (−3.91 [−5.57, −2.17],P<0.05). The effects of other therapies were not significant (Cryotherapy: −0.58 (−1.20, 0.11), Cryotherapy combined with PBMT: 0.48 (−1.09, 2.01), ES: −0.98 (−2.82, 0.89), Irradiated: −0.10 (−1.71, 1.53), STM: −0.89 (−2.63, 0.85), UT: −0.61 (−1.92, 0.84)).At 48 hours post-intervention, both PBMT (−5.24 [−6.95, −3.20],P<0.05) and sauna (−3.29 [−6.21,-0.33],P<0.05) exhibited significant effects compared to placebo.The effects of other therapies were not statistically significant.; However, beyond 48 hours, there was no notable benefit from PTMs when compared with placebo, indicating that PTMs are more effective within the initial 48 hours, with PBMT yielding superior outcomes.

Conclusion

The findings from this investigation indicate that PBMT and sauna treatment produce significant effects within the first 48 hours; however, beyond this period, the impact of photobiomodulation diminishes significantly. Overall, physical therapy modalities are the most effective within the 48-h window.

Keywords: delayed-onset muscle soreness, physical therapy modalities, efficacy, systematic review, bayesian network meta-analysis

Introduction

Delayed-onset muscle soreness (DOMS) is characterized by transient muscular injury resulting from high-intensity eccentric contractions or unfamiliar exercise modalities.1 Symptoms typically manifest 6–12 hours post-exercise, peak between 24 and 72 hours, and gradually resolve within 5–7 days.2,3 Common symptoms of DOMS include muscle pain, reduced strength, stiffness, and swelling. The associated decrease in muscle strength and joint range of motion can negatively affect athletic performance during training or competition.4 This may lead to athletes requiring additional medical intervention, such as physical therapy, massage, and cold and hot therapy. However, these treatments are expensive, and thus, DOMS increases economic burdens. For instance, massage is believed to accelerate recovery and reduce the duration of interruptions to training. However, its cost may pose a financial burden on individuals or teams. DOMS may prevent athletes from participating in training or competitions on time, thereby affecting the overall performance and event results of the team. Such interruptions may require additional compensation or fines, further increasing the economic burden. In high-intensity sports, such as rugby, DOMS may cause long-term muscle injuries and inflammation, requiring a longer period of rehabilitation. Studies have shown that even after adequate rest, DOMS may persist, which increases the cost of long-term treatment.5 DOMS reduces athletes’ strength, flexibility, and endurance, thereby limiting their training intensity and frequency. This limitation may prevent athletes from reaching their best competitive state, thereby affecting the length of their careers. Long-term DOMS can trigger psychological stress and burnout in athletes, particularly in high-intensity competitive environments, which may accelerate the end of their careers.6

The current interventions for DOMS include anti-inflammatory pharmacotherapy, physical therapy, acupuncture, and massage.7 While nonsteroidal anti-inflammatory drugs are frequently used to alleviate DOMS symptoms, prolonged use may have detrimental effects on muscle hypertrophy.8 Consequently, there is an urgent need for alternative therapeutic approaches to facilitate recovery. In recent years, physical therapy modalities(PTMs) has gained prominence in the management of DOMS because of its noninvasive and painless nature. Modalities, such as massage, lymphatic drainage techniques, thermotherapy (including cryotherapy), stretching exercises, vibration therapy, and laser treatment, share a common mechanism aimed at mitigating exercise-induced muscle damage and inflammation. This mechanism limits edema formation by reducing the available space for fluid accumulation in interstitial areas while enhancing the transport of metabolites/neutrophils/injury-related proteins from muscles into the circulation through alterations in blood flow dynamics, thereby diminishing exercise-induced muscular injury and inflammation.9,10 Previous studies have validated the efficacy of various physical therapy modalities, including cold therapy, light therapy, and alternating heat and cold treatments,11–13 however, the optimal therapeutic approach remains undetermined.

Numerous randomized controlled trials (RCTs) investigating treatments for DOMS have emerged in recent decades,10,14–19 however, these studies often yield conflicting results without convincingly establishing the effectiveness of distinct physical therapy modalities, complicating clinical decision-making processes. Therefore, we conducted a network meta-analysis aimed at evaluating the efficacy of diverse physical therapy modalities for treating DOMS, while performing probability rankings based on outcome indicators to identify superior physical therapy modalities that can enhance informed clinical decision-making.

Materials and Methods

Study Registration

This study has been registered with PROSPERO (ID: CRD42024597844).

Eligibility Criteria

Inclusion Criteria

Population

Patients with Delayed-onset muscle soreness(DOMS). Race, nationality, sex, age, and course of the disease were not restricted.

Intervention

Physical therapy modalities included cold therapy, heat therapy, alternating hot and cold therapy, electrical stimulation(ES), light therapy, shock wave therapy, electromagnetic field therapy, and ultrasonic wave.

Comparison

Placebo.

Outcome

The Visual Analog Scale (VAS),20 a widely used instrument for DOMS, that quantifies pain intensity on a 10-cm linear continuum, where 0 signifies “no pain” and 10 denotes “extreme pain”. Patients were instructed to indicate their perceived level of discomfort by marking a line, with higher scores corresponding to greater levels of pain. This scale is applicable across various types of pain and patient populations, offering a precise reflection of patients’ subjective experiences.

Study Design

Randomized controlled trial.

Exclusion Criteria

Studies were excluded if the full text was unavailable, necessary outcome indicators were missing, or data for these indicators were incomplete. Additionally, studies with significant design flaws, animal experiments, systematic reviews, case reports, observational study, conference proceedings or those in which the control group received active recovery or other treatments affecting recovery were excluded.

Data Sources and Search Strategy

RCTs evaluating physical therapy modalities for Delayed-onset muscle soreness(DOMS) were searched in CNKI, CSCD,CCD,CBM, PubMed, Embase, Cochrane Library, and Web of Science until October 22, 2024. The search strategy is provided in the Supplementary Table 1.

Study Selection

Two researchers independently searched and screened the literature, and extracted data. In the literature screening process, the title and abstract were read first, and the full text was read to determine whether the literature was included after obviously irrelevant literature was excluded. In cases of disagreement, a third researcher was consulted for resolution.

Data Extraction

Two researchers independently designed and populated data extraction tables.The extracted information included:

1. Basic information: First author, publication date, country, DOMS location, treatment measures, treatment duration, outcome indices.

2. Demographic characteristics: Sample size, age and sex.

3. Methodological information: Randomization method, allocation concealment, and blinding methods, etc.

Discrepancies in extracted data were discussed; unresolved issues were adjudicated through further discussion.

Risk of Bias in Studies

Two investigators assessed the bias risk using the Cochrane Randomized Controlled Trial Bias Risk Assessment tool for RCTs.21 The assessment tool included the following seven items: random sequence generation, allocation concealment, blinding of participants and providers, blinding of outcome evaluators, incomplete outcome data, selective outcome reporting, and other sources of bias, each of which assessed the outcome as low, high, or unclear.

Synthesis Methods

A Bayesian random-effects model was used to compare intervention effects. The Markov chain Monte Carlo method was used for modeling, with four Markov chains running simultaneously. The model was annealed for 20,000 iterations, and simulation was completed after 50,000 iterations. The Deviation Information Standard (DIC) was used to compare the model fit and global consistency. The node-splitting method used to analyze local consistency in the case of a closed-loop network. In addition, the interventions were ranked based on SUCRA, and the league tables were generated to compare differences in effects across the interventions. Subgroup and sensitivity analyses were performed to further analyze the results. If ≥10 studies were included in the outcome measure, funnel plots were used to assess intuitive response publication bias. The analyses was completed using Stata 15 and R v.4.2.2.

Results

Study Selection

A preliminary search identified 1,339 literatures. After eliminating 138 duplicate entries using EndNoteX9.1, 1,163 articles were excluded based on the title and abstract of the article. Further 23 studies were excluded after reading the full text, and 15 RCTs were finally included. Figure 1 presents a flowchart of the screening process.

Figure 1.

Figure 1

Flow chart of literature screening.

Study Characteristics

This study included 15 studies,22–36 involving a total of 447 patients from several countries: China, the United States, Brazil, Belgium, South Africa, Germany, Australia, Saudi Arabia, the United Kingdom, and Thailand. Nine interventions were evaluated, including irradiation, cryotherapy, sauna, photobiomodulation therapy(PBMT), electrical stimulation(ES), ultrasonic therapy(UT), soft tissue mobilization (STM),cryotherapy combined with PBMT, cryotherapy combined with ES. Table 1 summarizes the basic characteristics of the included studies.

Table 1.

The Basic Characteristics Included in the Study

First Author Author Country Years of Publication Method of Intervention Parts Number of Cases Evaluation Time Outcome Indicators
Craig R. Denegar22 United States 1992 ES/Cryotherapy/ES + Cryotherapy/Placebo Biceps 10/10/10/10 After exercise VAS
David Lynn Butterfieldr23 United States 1997 ES/Placebo Quads 14/14 24h, 48h, 72 VAS
Elke Vinck24 Belgium 2006 Irradiated/Placebo The biceps 16/16 24h, 48h, 72h VAS
Paul G. Montgomery25 Australia 2008 Cryotherapy/Placebo Lower limb muscles 10/10 After exercise VAS
Philip D. Glasgow26 Britain 2014 SCI/Cryotherapy/Placebo Hamstring muscle 10/10/10 24h, 48h, 72h VAS
R Parker27 South Africa 2014 UT/Placebo Biceps 15/15 48h, 72h VAS
Peanchai Khamwong28 Thailand 2015 Sauna/Placebo Wrist extensor 14/14 24h, 48h, 72h VAS
Paulo Roberto Vicente de Paiva29 Brazil 2016 Cryotherapy/PBMT/Placebo Quads 10/10/10 24h, 48h, 72h VAS
Venkata Nagaraj Kakaraparthi30 Saudi Arabia 2016 UT/Cryotherapy Biceps 16/16 24h, 48h, 72h VAS
A. F. Machado31 Brazil 2017 Cryotherapy/Placebo Quads 20/20 24h, 48h, 72h VAS
Johannes Fleckenstein32 Germany 2017 UT/Placebo Biceps 16/15 24h, 48h, 72h VAS
Akarapon Doungkulsa33 Thailand 2018 Cryotherapy/Placebo Biceps 16/16 24h, 48h, 72h VAS
Thimo Wiewelhove34 Germany 2018 Cryotherapy/Placebo Lower limb muscles 11/12 24h VAS
Andrew David Govus35 Sweden 2018 ES/Placebo Quads 11/10 44h, 68h VAS
Maher Ahmed Elkeblawy36 Egypt 2023 Cryotherapy/Placebo Biceps 15/15 24h, 72h VAS

Notes: 1 min water immersion in 38°C followed by 1 min CWI in 10°C (repeated 3 times).

Abbreviations: ES, Electrical stimulation; UT, Ultrasonic therapy; PBMT, Photobiomodulation therapy; SCI, Short contrast immersion.

Risk of Bias in Studies

Seven studies23–25,31–33,35 used the correct randomization method, whereas six studies23–25,31,33,35 used the correct concealment method. Four studies23,24,32,33 were single-blinded and three25,31,36 were double-blinded. Data were complete for all studies, and no selective reporting or other publication biases were observed. Figures 2 and 3 shows the results of the risk of bias analysis involving the included studies.

Figure 2.

Figure 2

Risk of bias graph.

Figure 3.

Figure 3

Risk of bias summary.

Meta Analysis

Subgroup analysis were conducted based on the time of detection.

24 hours

Associations Between Interventions

Fourteen studies reported the effectiveness of eight interventions: irradiation, cryotherapy, sauna, Electrical stimulation(ES), Ultrasonic therapy(UT), Photobiomodulation therapy(PBMT), Short contrast immersion, and cryotherapy combined with Photobiomodulation therapy(PBMT) Heterogeneity test results showed an I2 value of 1%, indicating a low heterogeneity. This figure shows the presence of a closed loop. The consistency test results showed that when P > 0.05, the surface network was consistent, and the consistency model was used for the analysis (see Figure 4).

Figure 4.

Figure 4

Correlation diagram between different physical therapy modalities (24h).

Synthesized Results

Compared with placebo, Photobiomodulation therapy(PBMT) demonstrated a significant effect (P < 0.05) among various physical therapy modalities, PBMT was the most effective. (Figure 5, Supplementary Table 2 League table). The top three SUCRA rankings were PBMT (0.99), cryotherapy and PBMT (0.63), and SCI (0.61) (Table 2).

Figure 5.

Figure 5

Forest map of the effectiveness of different physical therapy modalities compared to placebo (24h).

Table 2.

SUCRA Sort

Interventions 24h 48h 72h 96h
SUCRA No SUCRA No SUCRA No SUCRA No
Cryotherapy 0.53 5 0.34 7 0.45 5 0.56 3
CryotherapyandPBMT 0.63 2 0.57 3 0.52 3 0.62 2
ES 0.15 9 0.36 6 0.40 6
Irradiated 0.33 7 0.25 8 0.81 2 0.41 5
PBMT 0.99 1 0.98 1 0.86 1 0.80 1
Sauna 0.44 6 0.84 2 0.33 8 0.40 6
SCI 0.61 3 0.42 5 0.46 4 0.48 4
UT 0.53 4 0.50 4 0.40 7
Placebo 0.25 8 0.18 9 0.23 9 0.20 7

48 hours

Associations Between Interventions

Twelve studies reported effectiveness of eight types of interventions: irradiation, cryotherapy, sauna, Electrical stimulation(ES), Ultrasonic therapy(UT), Photobiomodulation therapy(PBMT), Short contrast immersion, and cryotherapy combined with PBMT. The heterogeneity test results showed an I2 value of 1%, indicating a low heterogeneity. This figure shows the presence of a closed loop. The consistency test results showed that when P > 0.05, the surface network was consistent, and the consistency model was used for the analysis (see Figure 6).

Figure 6.

Figure 6

Correlation diagram between different physical therapy modalities (48h).

Synthesized Results

Photobiomodulation therapy(PBMT) and sauna had significant effects compared with the placebo (P < 0.05). Among the treatments, PBMT had the greatest effect (Figure 7, Supplementary Table 2 League table). The top three SUCRA treatments were PBMT (0.98), Sauua (0.84), cryotherapy and PBMT (0.57) (see Table 2).

Figure 7.

Figure 7

Forest map of the effectiveness of different physical therapy modalities compared to placebo (48h).

72 hours

Associations Between Interventions

Twelve studies reported efficient intervention by eight types: irradiation, cryotherapy, sauna, Electrical stimulation(ES), Ultrasonic therapy(UT), Photobiomodulation therapy(PBMT), Short contrast immersion, and cryotherapy combined with Photobiomodulation therapy(PBMT). The heterogeneity test results showed an I2 value of 5%, indicating a low heterogeneity. This figure shows the presence of a closed loop. The consistency test results showed that when P > 0.05, the surface network was consistent, and the consistency model was used for the analysis (see Figure 8).

Figure 8.

Figure 8

Correlation graph between different physical therapy modalities (72h).

Synthesized Results

Physical therapy modalities had no significant advantage over placebo (P > 0.05) (Figure 9 and Supplementary Table 2 League table) (see Table 2).

Figure 9.

Figure 9

Forest plot of effectiveness of different physical therapy modalities compared to placebo (72h).

96 hours

Associations Between Interventions

Six studies reported the efficacy of six types of interventions: irradiation, cryotherapy, sauna, Photobiomodulation therapy(PBMT), Short contrast immersion, and cryotherapy combined with Photobiomodulation therapy(PBMT). The heterogeneity assay results showed an I2 value of 7%, indicating a low heterogeneity. This figure shows the presence of a closed loop. The consistency test results showed that when P > 0.05, the surface network was consistent, and the consistency model was used for the analysis (see Figure 10).

Figure 10.

Figure 10

Correlation diagram between different physical therapy modalities(96h).

Synthesized Results

Physical therapy modalities had no significant advantage over placebo (P > 0.05) (Figure 11 and Supplementary Table 2 League table) (see Table 2).

Figure 11.

Figure 11

Forest plot of effectiveness of different physical therapy modalities compared to placebo (96h).

Publication Bias Analysis and Sensitivity Analysis

The Egger test, contour-weighted funnel plot, and clip-complement method were applied to the 24-h, 48-h and 72-h results, and the results showed that there was a small possibility of publication bias (P=0.70 for 24h: Egger test, P=0.96 for 48h: Egger, P=0.79 for 72h: Egger). Figure 12 shows the contour-weighted funnel plots. Sensitivity analysis results were stable (Supplementary Table 3).

Figure 12.

Figure 12

Contour weighted funnel plot (24h,48h,72h).

Discussion

This study conducted a network meta-analysis to assess the efficacy of various physical therapy modalities for the treatment of Delayed-onset muscle soreness(DOMS). Fifteen studies were included, encompassing nine distinct physical therapy modalities: irradiated therapy, cryotherapy, sauna, photobiomodulation therapy (PBMT), electrical stimulation (ES), ultrasound therapy (UT), soft tissue mobilization (STM), cryotherapy combined with PBMT, and Cryotherapy combined with ES. In terms of pain reduction at 24 hour post-intervention, PBMT demonstrated significant effectiveness compared to the other treatments. At the 48 hour mark, both PBMT and sauna treatment exhibited notable effects; however, beyond this period, no significant differences were observed among therapies when compared to placebo controls. Notably, the SUCRA ranking indicated that PBMT maintained its position was the top intervention. These findings suggest that physical therapy modalities are more effective within the initial 48 hour post-treatment and highlight that PBMT yields superior outcomes. Furthermore, these results remained stable without any evidence of significant publication bias.

Photobiomodulation therapy(PBMT) emerged in its contemporary form as a low-energy laser therapy shortly after the invention of ruby lasers in 1960 and He-Ne lasers in 1961, and has since evolved into a versatile therapeutic approach encompassing light therapies utilizing various light sources and parameter settings.37 This modality is characterized by three primary therapeutic effects: reduction in inflammation and edema, promotion of wound healing and deep tissue repair, facilitation of nerve regeneration, and alleviating of pain.38 Typically involving the exposure of cells or tissues to light within the visible to near-infrared spectrum, photobiomodulation therapy(PBMT) does not induce structural changes owing to elevated tissue temperatures when compared with other forms of light therapy. Consequently, it represents an ideal treatment option for numerous conditions associated with inflammatory states or those necessitating stimulation of growth and repair.39

Photobiomodulation Therapy(PBMT) exerts beneficial effects on alleviates pain and enhances functional mobility in patients. For instance, PBMT effectively mitigates the pain associated with rest, activities of daily living, stiffness, muscle shortening, and exercise, particularly in the knee joints of middle-aged and olderly women suffering from osteoarthritis (OA).40 Additionally, PBMT reduces the adverse effects of pain and inflammation on walking distance, gait parameters, and body structural metrics.41 Regarding the duration of therapeutic effects, a regimen involving low-energy laser therapy applied exclusively during the initial three weeks followed by a combination of exercise and other treatments over an additional eight weeks can sustain reductions in pain severity and dysfunction, as well as decrease medication usage for up to six months.42 Han et al43 reported that PBMT produced transient analgesic effects when administered to muscles at a dose of 8 J/cm² through nonthermal mechanisms involving neuropeptides, and sustained analgesia was observed following repeated applications. Furthermore, treatment with 670 nm red light significantly diminished neuronal damage and neuroinflammatory fatigue. Overall, PBMT facilitates healing and recovery of injured tissues while assisting patients in alleviating symptoms and improving joint functionality.44 Tim et al45 and Chen et al46 independently confirmed that PBMT promoted chondrocyte and fibroblast proliferation.

Numerous studies have demonstrated the efficacy of PBMT. In an animal trial comparing PBMT and cryotherapy after exercise, DaCosta et al47 found that PBMT was more effective in reducing muscle damage and inflammation. These results were consistent with those reported by Camargo et al48 in a similar investigation. An initial clinical trial assessing cryotherapy versus post-exercise PBMT indicated that administering PBMT five minutes after exercise inhibited increases in the creatine kinase (CK) activity, establishing its superiority over cryotherapy for post-exercise recovery.49 Furthermore, recent investigations50–54 have shown that employing a combination of multiple wavelengths and light sources before exercise can enhance performance outcomes. Compelling evidence supports a paradigm shift from utilizing PBMT solely for rehabilitation after injury to considering it as a prophylactic measure for skeletal muscle protection. With minimal contraindications, PBMT is a unique, noninvasive, and nonpharmacological approach to expedite recovery from muscle fatigue and exercise-induced injuries.

However, Nampo et al55 concluded that phototherapy is not been proven effective in treating DOMS. Variations in light wavelength, dosage, and intensity across different studies may account for these conflicting findings. Thus, further clinical trials are warranted to validate this assertion. A search on the clinical trial registry platform (https://beta.clinicaltrials.gov) revealed numerous RCTs investigating the effects of PBMT on muscle soreness symptoms (eg, NCT06145867, NCT05926752, and NCT05627141), indicating a growing interest in this therapeutic modality.

The strengths of this study include its pioneering effort in elucidating the efficacy heterogeneity across physical therapy modalities based on temporal factors, an essential aspect in clinical applications. Nonetheless, several limitations exist should be noted. First, only English-language studies were included, which may reduce the comprehensiveness of the evidence. Second, variations in methods used to induce DOMS among the included studies could affect the reliability of the results. Additionally, the study focused solely on pain indicators, which may limit the overall evaluation scope. Significant disparities exist regarding the participants’ age and exercise habits, and previous research suggests potential divergent effects among individuals with differing training backgrounds receiving identical treatments. However, owing to the limited literature availability, subgroup analyses concerning physical therapy modalities applications across varying exercise habits were not conducted within this study framework. Finally, the overall quality of the included studies was suboptimal, indicating a certain risk of bias.

Conclusion

Based on the findings of this study, photobiomodulation therapy(PBMT) and sauna treatment demonstrated significant effects 48 hour post-intervention. Beyond this timeframe, the efficacy of photobiomodulation therapy(PBMT) was not statistically significant.Other physical therapy modalities, such as cryotherapy, electrical stimulation, ultrasound therapy, etc., did not demonstrate statistically significant advantages in this study.Overall, physical therapy modalities were more effective within the initial 48-hour period. Notably, photobiomodulation therapy(PBMT) yielded the most favorable outcomes and provided valuable clinical evidence. However, owing to inconsistencies in methodological quality and small sample sizes among the included studies, high-quality multicenter randomized double-blind controlled trials with larger sample sizes are needed to validate these conclusions.

Acknowledgments

We thank the researchers and the study participants for their contributions. We would like to thank Editage (www.editage.cn) for English language editing.

Funding Statement

This work was supported by the Hunan Provincial clinical medical technology demonstration base of chronic musculoskeletal pain rehabilitation (grant number:2023SK4074), the Chronic musculoskeletal pain rehabilitation technology research and development center of Chenzhou City (grant number:2021-02-31).

Highlights

1.This study is the first to research the efficacy and safety of different physical therapy modalities(PTMs) in the treatment of delayed-onset muscle soreness(DOMS).Used network meta-analysis to comprehensively compare the efficacy and safety of different PTMs for DOMS, in order to screen the best treatment method and provide more evidence for the treatment of DOMS.

2.We used the STATA16 and R v.4.2.2 tools in this study.

3.Based on existing research results, PTMs in the treatment of DOMS exhibit good efficacy and safety.

Data Sharing Statement

Data are available from the corresponding author (LinyuYin) upon request.

Disclosure

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

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Associated Data

This section collects any data citations, data availability statements, or supplementary materials included in this article.

Data Availability Statement

Data are available from the corresponding author (LinyuYin) upon request.


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