Development and Validation of a Nomogram Model for Predicting Dislocation of the Long

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Methods A retrospective analysis was performed on the clinical data of 193 patients with rotator cuff tears who underwent MRI and CT examinations in the Department of Orthopaedics IV, The Third Hospital of Hebei Medical University, from November 2023 to November 2025. Preoperative morphological parameters of the bicipital groove, including width, length, medial wall angle, and total opening angle, were measured on CT. All data analyses were conducted using R software (version 4.5.2), with key statistical packages including glmnet (for Lasso regression analysis), rms (for nomogram construction), pROC (for ROC curve analysis), and caret (for logistic regression analysis) along with Zstats v1.0. The significance level was set at p < 0.05. To construct the LHBT dislocation prediction model and evaluate the correlation between clinical factors and postoperative recovery, multiple statistical methods were employed, including univariate analysis, Lasso regression, logistic regression, and calibration curve analysis. Results A nomogram prediction model was successfully constructed. Univariate analysis and Lasso regression identified gender, smoking history, medial wall angle of the bicipital groove, total opening angle, and width and length of the bicipital groove as key influencing factors for dislocation. Further logistic regression analysis confirmed that the medial wall angle of the bicipital groove was a significant independent predictor. Conclusions Gender, medial wall angle of the bicipital groove, total opening angle, width, and length of the bicipital groove are risk factors for LHBT dislocation, with gender and medial wall angle showing significant statistical relevance. The calibration curves for the training and validation sets confirmed that the nomogram model for predicting LHBT dislocation possesses good predictive performance and offers reference value in clinical practice. Dislocation of the long head of the biceps tendon Rotator cuff tear Prediction model Nomogram Figures Figure 1 Figure 2 Introduction As a key structure within the shoulder joint, the long head of the biceps tendon (LHBT) originates from the supraglenoid tubercle of the scapula and the glenoid labrum (with approximately 50% originating from the superior labrum). Its unique anatomical position and complex biomechanical functions play an important role in maintaining shoulder joint stability and preventing excessive anterior displacement of the humeral head [1]. The LHBT can present various pathological conditions, including tendinitis, partial or complete tears, and instability manifesting as subluxation or dislocation [2]. This study focuses on LHBT instability. Clinical studies have identified the biceps tendon as a common source of shoulder pain and related disorders, although the exact incidence of LHBT instability remains unclear [1]. LHBT injury is strongly correlated with rotator cuff injury [3,4]. A study based on computed tomography arthrography reported that medial displacement of the LHBT may occur in up to 16% of rotator cuff tears. Meanwhile, a recent arthroscopic study found LHBT instability in 45% of patients with rotator cuff tears, including 16% with isolated anterior instability, 19% with isolated posterior instability, and 10% with combined anteroposterior instability [2]. Isolated biceps tendon lesions without accompanying rotator cuff pathology have also been reported [5,6]. The latest study by Urita et al. indicated that hypertrophy of the bicipital groove or subscapularis tears may be helpful in identifying LHBT disorders. Despite continuous advances in rotator cuff repair surgery, postoperative LHBT dislocation remains a significant risk, seriously affecting patients' functional recovery and quality of life. Therefore, accurately assessing a patient's risk of LHBT dislocation and implementing personalized preventive management have become urgent clinical challenges. Currently, the diagnostic evaluation of LHBT dislocation relies primarily on empirical methods such as preoperative MRI examination. Most of these methods are based on single indicators or subjective experience, making it difficult to comprehensively consider multi-dimensional clinical data. Moreover, these methods are often subjective and have inherent limitations.In this context, developing an accurate, objective, and comprehensive disease prediction model has become a key research focus. Accurate risk prediction can not only assist surgeons in formulating personalized surgical plans but also enable the identification and early intervention of high-risk patients. In recent years, with advances in big data and machine learning technologies, disease prediction models based on multi-dimensional data have emerged. Machine learning methods can automatically identify complex patterns from large datasets and, compared to traditional statistical methods, can more accurately reveal interactions between variables, thereby significantly improving the performance of prediction models. Therefore, integrating machine learning algorithms into LHBT dislocation prediction represents an important direction for enhancing clinical decision-making. This study innovatively combines SPSS, the R programming framework, and machine learning algorithms to develop and validate a dynamic predictive nomogram model for LHBT dislocation risk, aiming to provide a more reliable quantitative tool for clinical practice. Materials and Methods Study Subjects A total of 300 patients with rotator cuff tears who underwent MRI and CT examinations in the Department of Orthopaedics IV, The Third Hospital of Hebei Medical University, from November 2023 to November 2025 were initially enrolled. After screening based on inclusion and exclusion criteria, 193 patients were finally included. All patients underwent rotator cuff repair surgery performed by experienced senior surgeons in the department. The study was conducted in strict accordance with ethical standards, and no patient-identifiable information was disclosed.Ethical approval for this study was obtained from The Third Hospital of Hebei medical university(2024-139-1).The equirement for informed consent wsa waived due to its retrospective nature. Inclusion Criteria Diagnosed with a rotator cuff tear via imaging at The Third Hospital of Hebei Medical University; Aged 18–75 years; Presented with pain or limited activity caused by rotator cuff and/or LHBT pathology; MRI showed LHBT dislocation or subluxation. Exclusion Criteria Complicated by severe shoulder lesions (e.g., glenohumeral joint dislocation, greater tuberosity or surgical neck fracture of the humerus, bony Bankart lesion, labral tear, etc.); History of systemic diseases (e.g., rheumatoid arthritis, diabetes, neuropathy, cervical spondylosis with radiation to the shoulder, etc.); History of ipsilateral shoulder surgery or injection therapy; LHBT loss due to spontaneous rupture or prior surgery; Incomplete imaging data. Clinical Data General information, clinical data, and imaging parameters were recorded, including name, hospital number, contact information, age, gender, admission symptoms, symptom duration, history of hypertension, smoking history, drinking history, depth of the bicipital groove, width of the bicipital groove, medial wall angle (MWA), lateral wall angle (LWA), total opening angle (TOA), etc. [1,4]. Preoperative CT data of the bicipital groove were measured. The measurement plane was aligned flush with the line connecting the greater and lesser tuberosities and positioned at 90° to the floor of the bicipital groove.（Figure 1-1） Grouping Indicator As reported by Buck et al., humeral rotation does not significantly affect the position of the LHBT relative to the bicipital groove [7]. Therefore, based on MRI findings, LHBT dislocation was defined as the LHBT detaching from the bicipital groove and displacing medially into the joint capsule, subscapularis tendon, or outside the joint capsule [3,8,20].(Figure 1-2) Statistical Methods All data analyses were performed using R software (version 4.5.2), with main packages including glmnet (for Lasso regression), rms (for nomogram construction), pROC (for ROC curve analysis), and caret (for logistic regression). The significance level was set at p < 0.05. To construct the LHBT dislocation prediction model and evaluate correlations between clinical factors and postoperative recovery, multiple statistical methods were used, including univariate analysis, Lasso regression, logistic regression, calibration curves, and related statistical tests. Sample size calculation was performed using the formula derived from the Gaussian distribution: n = (z·s/e)^2, where n is the minimum sample size, z = 1.96 for a 5% significance level, s is the sample standard deviation, and e is the acceptable error [9]. Results General Data A total of 193 patients with rotator cuff tears were enrolled and stratified into two groups based on the presence of long head of biceps tendon (LHBT) dislocation: a dislocation group (n=55) and a non-dislocation group (n=138). Intergroup comparisons of demographic, clinical, and radiographic variables were performed using chi-square tests for categorical variables and independent t-tests or non‑parametric equivalents for continuous variables, as appropriate.No statistically significant differences were observed between the two groups in terms of sex distribution, age, or symptom duration. The dislocation group comprised 23 females (41.8%) and 33 males (58.2%), while the non-dislocation group included 85 females (61.6%) and 53 males (38.4%) (p>0.05). The mean age was 58.24±8.67 years in the dislocation group and 58.56±9.72 years in the non-dislocation group (p>0.05). Median symptom duration was 2 months (IQR: 0.58–6.00) in both groups (p>0.05).Significant intergroup differences were noted in certain morphological parameters. The medial wall angle (MWA) was significantly smaller in the dislocation group (34.68°±7.61°) compared with the non-dislocation group (44.40°±6.32°) (p<0.05). Similarly, the total opening angle (TOA) was significantly larger in the dislocation group (median 100.10°, IQR 94.85°–109.25°) than in the non-dislocation group (median 90.10°, IQR 78.33°–98.80°) (p<0.05). Bicipital groove depth also differed significantly between groups (0.93±0.17 cm vs. 0.90±0.17 cm, p0.05) and lateral wall angle (LWA; median 44.00° in both groups, p>0.05) showed no significant differences. Logistic Regression Analysis We further used a logistic regression model to evaluate the impact of these variables on LHBT dislocation. The results showed that gender (p<0.05), medial wall angle (p<0.01), total opening angle (p<0.01), width of the bicipital groove (p<0.05), and depth of the bicipital groove (p<0.05) were statistically significant predictors. Details are provided in the corresponding table. Establishment and Validation of the Nomogram The ROC curves for the training and validation sets are shown in the figure, with AUC values of 0.85 (training set) and 0.89 (validation set), respectively. The results indicated good agreement between predicted and actually observed values in both sets. The calibration curve demonstrated that the bias-corrected line was close to the ideal line, indicating a high degree of concordance between the model's predicted probabilities and the actual observed outcomes. Discussion Predictive Factors Based on multi-dimensional clinical and imaging data, this study successfully developed and validated a nomogram model for predicting LHBT dislocation risk. The results indicated that gender, medial wall angle (MWA) of the bicipital groove, and total opening angle (TOA) are key predictive factors. Multiple clinical studies have shown that the incidence of LHBT dislocation is significantly higher in male patients than in females [10]. This gender difference may stem from several factors: Males are more likely to engage in heavy physical labor or high-intensity sports (e.g., weightlifting, throwing), which place greater stress on the shoulder joint and can lead to injury or wear of the soft tissues (e.g., transverse humeral ligament) that maintain tendon stability [11], thereby predisposing to dislocation. Additionally, Petersson's study suggested that the morphology of the bicipital groove in males may exhibit specific variations that increase susceptibility to tendon instability [12].Certain high-intensity occupations (e.g., construction, athletics) are male-dominated, and long-term repetitive overuse or acute injuries directly increase the risk of LHBT dislocation. The theory proposed by Smith and Hotaling suggests that estrogen may have a protective effect on tendons and ligaments [13], which may partially explain the relatively lower incidence in females. It is worth noting that while the overall risk is higher in males, female patients, particularly postmenopausal women or those with severe rotator cuff degeneration, may also experience LHBT dislocation. Therefore, gender should be considered an important but not independent predictive indicator, and a comprehensive risk assessment should incorporate other factors. The total opening angle (TOA) demonstrated the strongest predictive power in this study. TOA can be understood as the turning angle of the LHBT within the "bony pulley" of the bicipital groove. An excessively large angle (increased TOA) weakens the bony constraint of the groove on the tendon, leading to loss of tendon control and a significantly increased dislocation risk. This finding aligns with the study by Jae Chul Yoo et al., which also suggested that a shallow and flat bicipital groove (corresponding to a larger TOA) is a high-risk factor for instability [14]. Although TOA measurement may be influenced by operator experience, it holds important clinical reference value as an objective imaging parameter. The logistic regression analysis in this study indicated an inverse correlation between the medial wall angle (MWA) of the bicipital groove and LHBT dislocation; that is, as the MWA decreases, the risk of dislocation tends to increase. Analysis of the baseline data supports the association between a smaller MWA and tendon dislocation accompanied by aggravated pain. Anatomically, the biceps tendon typically adheres to the lesser tuberosity during force application. Therefore, the inclination of the medial wall plays a key role in maintaining tendon stability within the groove—a larger MWA is more conducive to stability. Pfahler et al. evaluated bicipital groove morphology via tangential radiographs and combined this with ultrasound and clinical symptoms, finding that even without MRI assessment of tendon stability, LHBT dislocation was significantly correlated with a smaller medial opening angle [15]. The study by Slatis and Aalto further pointed out that underdevelopment of the medial wall of the bicipital groove is an important anatomical factor inducing LHBT dislocation [16]. Additionally, Hitchcock and Bechtol emphasized the importance of the angle formed by the line connecting the greater and lesser tuberosities with the medial wall in tendon stability [17]. The depth and width of the bicipital groove showed correlation with LHBT dislocation in univariate analysis but did not demonstrate independent statistical significance in the regression model (p > 0.05). This finding differs from some prior studies suggesting that "a shallow bicipital groove is an important factor for LHBT dislocation." Historically, the relationship between bicipital groove morphology and tendon stability has been explored for decades [15,18]. Meyer reported that 17.5% of 200 humeral specimens had a supratubercular ridge and noted that its presence might increase dislocation risk. Hitchcock and Bechtol further found that the supratubercular ridge is related to osteophytes in the bicipital groove, with 59% and 8% of specimens having moderately or significantly developed ridges, respectively. These bony variations can significantly alter the actual depth of the groove, thereby affecting tendon stability [17]. Spritzer et al. also indicated that bicipital groove morphology is associated with LHBT instability, but their study was limited by sample size and statistical methods, providing only weak quantitative support [8]. Furthermore, there is still no unified definition of "deep" versus "shallow" groove in the literature, complicating comparison and synthesis across studies. Notably, LHBT instability can occur even in patients without rotator cuff injury, suggesting that besides bony structures, other soft-tissue constraint mechanisms may contribute to tendon stability. Although the bony contour of the bicipital groove has a relatively secondary constraining effect compared to soft tissues, it still plays a role in limiting abnormal tendon movement [1,9,19]. The lack of an independent correlation between groove depth and dislocation in this study may be due to: (1) a relatively limited sample size , potentially leading to insufficient statistical power to detect subtle to moderate effects; (2) the absence of stratified analysis by type, specific location, and degree of tendon injury, factors which may variably interfere with LHBT stability and thereby mask the independent effect of groove depth [19,20]. Despite the non-significant result, this study retains clinical relevance. When evaluating LHBT dislocation risk, the interaction between specific characteristics of shoulder tendon injury (type, location, degree) and bicipital groove morphology should be comprehensively considered. Significance of Establishing a Nomogram Model for Predicting LHBT Dislocation Risk As a common cause of anterior shoulder pain in patients with rotator cuff tears, LHBT dislocation is widely recognized. Predicting its occurrence aims to address patient pain and improve quality of life. With continuous advances in surgical technique, the success rate of rotator cuff repair has greatly improved. However, despite surgical progress, postoperative rehabilitation outcomes vary considerably. Some patients recover normal activity levels and pain relief relatively quickly, while others experience slow recovery, persistent anterior shoulder pain, or even intractable pain. This suggests we still lack precise understanding and detection of LHBT pathology in rotator cuff injury patients. Consequently, there is a need to develop an effective method for comprehensively and accurately predicting LHBT dislocation. The occurrence of LHBT dislocation is influenced by multiple factors, including gender, smoking history, drinking history, and bicipital groove morphology (depth, MWA, TOA, etc.). Therefore, systematically integrating these factors to establish an effective risk prediction model for facilitating precise treatment has become an important research and clinical objective. Clinical prediction models can help clinicians formulate personalized treatment and rehabilitation plans, provide patients with more accurate prevention strategies, improve patient awareness of their condition, and enable measures to prevent complications. A nomogram is a statistical tool that comprehensively calculates and visually presents multiple variables, widely used in medical prognostic evaluation. By combining clinical data with statistical analysis, it constructs an intuitive chart to help clinicians comprehensively assess patient prognosis based on multiple factors. In a nomogram, each clinical variable (e.g., gender, total opening angle) corresponds to a score; the sum of these scores yields a prognostic score, predicting postoperative recovery. The construction process typically involves: (1) collecting substantial clinical data to ensure accuracy and representativeness; (2) using statistical methods (e.g., Cox regression, logistic regression) to analyze each variable's impact on prognosis and determine its weight; (3) converting each variable's weight into a score represented by position and length on the nomogram; (4) allowing clinicians to locate corresponding scores based on patient-specific data, calculate the total score, and obtain a prognostic prediction. This strongly supports the formulation of individualized treatment and rehabilitation plans. Limitations This study has several limitations. First, as a single-center retrospective study with a relatively limited sample size (n=193), selection bias may exist, and the statistical power might be insufficient to detect subtle effects. Second, the lack of long-term follow-up data prevents evaluation of the model’s long-term predictive performance. Third, other potential confounding factors not included in the analysis might influence the results. Future research should enhance the model’s robustness and clinical applicability by expanding the sample size, conducting multi-center external validation, and incorporating long-term follow-up data with more detailed classification of rotator cuff injuries. Conclusion Gender, smoking history, medial wall angle of the bicipital groove , total opening angle, width, and length of the bicipital groove are risk factors for LHBT dislocation, among which gender and medial wall angle of the bicipital groove hold significant statistical relevance. Declarations Ethics approval and consent to participate This study adhered to the Declaration of Helsinki (2013 revision) and was approved by the Institutional Review Board (IRB) of the Third Hospital of Hebei Medical University (Approval No.: 2024-139-1). The requirement for written informed consent from participants was waived by the IRB due to the retrospective design of the study. Consent for publication Not Applicable . This study did not include any identifying images, personal information, or clinical details of participants that could compromise anonymity. All clinical data and imaging materials used in the study were fully de-identified and anonymized prior to analysis, and no patient-identifiable content was presented in the manuscript. Thus, the need for separate written consent for publication from participants was waived by the Institutional Review Board of the Third Hospital of Hebei Medical University. Availability of data and materials The data that support the findings of this study are available from the corresponding author upon reasonable request. Competing interests The authors declare that they have no competing interests. Funding No funding was obtained for this study. Authors' contributions Jiangtao Dong: research design and implementation; Jiangtao Gao: research, data collection and thesis writing; Siman Tian,Yi Zheng,Yue Geng: data analysis and thesis review; Zhikuan Li,Ruoxi Zhang: Collect data and organize personnel evaluation. Corresponding author Jiangtao Dong Hebei Medical University the Third Hospital, Shijiazhuang, China. (Email: [email protected] / [email protected] ) References Nho SJ, Strauss EJ, Lenart BA, et al. Long head of the biceps tendinopathy:diagnosis and management. J Am Acad Orthop Surg 2010; 18: 645–56.https://doi.org/10.5435/00124635-201011000-00002 Lafosse L, Reiland Y, Baier GP, et al. Anterior and posterior instability of the long head of the biceps tendon in rotator cuff tears: a new classification based on arthroscopic observations. Arthroscopy 2007; 23: 73–80.https://doi.org/10.1016/j.arthro.2006.08.025 Walch G, Nove-Josserand L, Boileau P, et al. Subluxations and dislocations of the tendon of the long head of the biceps. J Shoulder Elbow Surg 1998; 7: 100–108. https://doi.org/10.1016/s1058-2746(98)90218-x Urita A, Funakoshi T, Amano T, et al. Predictive factors of long head of the biceps tendon disorders-the bicipital groove morphology and subscapularis tendon tear. 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PMID: 36458404; PMCID: PMC10432495. https://doi.org/10.1111/os.13534 Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 05 Apr, 2026 Reviews received at journal 03 Apr, 2026 Reviewers agreed at journal 03 Apr, 2026 Reviews received at journal 21 Mar, 2026 Reviewers agreed at journal 18 Mar, 2026 Reviewers invited by journal 06 Mar, 2026 Editor assigned by journal 06 Mar, 2026 Submission checks completed at journal 05 Mar, 2026 First submitted to journal 03 Mar, 2026 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-8918438","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":602844418,"identity":"c3cc31e6-87cf-43ee-9ff5-62b59c59065a","order_by":0,"name":"Jiangtao Gao","email":"","orcid":"","institution":"Third Hospital of Hebei Medical University","correspondingAuthor":false,"prefix":"","firstName":"Jiangtao","middleName":"","lastName":"Gao","suffix":""},{"id":602844419,"identity":"d09383d1-fab6-46ff-b4ff-92ac74b192de","order_by":1,"name":"Yue Geng","email":"","orcid":"","institution":"Third Hospital of Hebei Medical University","correspondingAuthor":false,"prefix":"","firstName":"Yue","middleName":"","lastName":"Geng","suffix":""},{"id":602844420,"identity":"7326e938-1424-4181-b894-ce39dec15bfb","order_by":2,"name":"Yi Zheng","email":"","orcid":"","institution":"Third Hospital of Hebei Medical University","correspondingAuthor":false,"prefix":"","firstName":"Yi","middleName":"","lastName":"Zheng","suffix":""},{"id":602844421,"identity":"58c087dd-1348-4ccb-9757-ace3cf3c728b","order_by":3,"name":"Zhikuan Li","email":"","orcid":"","institution":"Third Hospital of Hebei Medical University","correspondingAuthor":false,"prefix":"","firstName":"Zhikuan","middleName":"","lastName":"Li","suffix":""},{"id":602844422,"identity":"181afc58-e9c8-44a0-ad1c-713d3263a20c","order_by":4,"name":"Siman Tian","email":"","orcid":"","institution":"Third Hospital of Hebei Medical University","correspondingAuthor":false,"prefix":"","firstName":"Siman","middleName":"","lastName":"Tian","suffix":""},{"id":602844423,"identity":"3c2403d9-d22c-4575-a47a-a5e30a12c943","order_by":5,"name":"Ruoxi Zhang","email":"","orcid":"","institution":"Third Hospital of Hebei Medical University","correspondingAuthor":false,"prefix":"","firstName":"Ruoxi","middleName":"","lastName":"Zhang","suffix":""},{"id":602844424,"identity":"a72ee02b-10b2-41ee-87ed-51f25806e0ae","order_by":6,"name":"Jiangtao Dong","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAtElEQVRIiWNgGAWjYDCCAwcYHwNJMFuCSC2HmY1J1cLMJk2aFr6D549VF1TciTY4wHzwNg+DXR5BLZIHDrPdnnHmWe6GA2zJ1jwMycUEtRiAtPC2HQZq4TGT5mE4kNhAjJZi3n8gLfzfiNfCzNsAtoWNOC1AvxhL8xx7ljvzMJux5RyDZMJa+G4cfPiZp+ZObt/x5oc33lTYEdbCIHEAymAGu5OgeiDgJ2zqKBgFo2AUjHQAAO9KRBi4vGmuAAAAAElFTkSuQmCC","orcid":"","institution":"Third Hospital of Hebei Medical University","correspondingAuthor":true,"prefix":"","firstName":"Jiangtao","middleName":"","lastName":"Dong","suffix":""}],"badges":[],"createdAt":"2026-02-19 15:27:12","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-8918438/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-8918438/v1","draftVersion":[],"editorialEvents":[],"editorialNote":"","failedWorkflow":false,"files":[{"id":104545661,"identity":"af85feaf-2c15-4eee-b916-57d12872cb6d","added_by":"auto","created_at":"2026-03-13 07:14:53","extension":"png","order_by":1,"title":"Figure 1","display":"","copyAsset":false,"role":"figure","size":146486,"visible":true,"origin":"","legend":"\u003cp\u003eSee image above for figure legend\u003c/p\u003e","description":"","filename":"1.png","url":"https://assets-eu.researchsquare.com/files/rs-8918438/v1/ea6c760cf960b9689363bfed.png"},{"id":104545660,"identity":"a58e2cf1-1778-4b73-9397-91f6b98f1ee8","added_by":"auto","created_at":"2026-03-13 07:14:53","extension":"png","order_by":2,"title":"Figure 2","display":"","copyAsset":false,"role":"figure","size":141340,"visible":true,"origin":"","legend":"\u003cp\u003eSee image above for figure legend\u003c/p\u003e","description":"","filename":"2.png","url":"https://assets-eu.researchsquare.com/files/rs-8918438/v1/5eaf50af14312440c945efb1.png"},{"id":104545674,"identity":"73c5c0a3-2e66-4237-95f7-015b364ce2ad","added_by":"auto","created_at":"2026-03-13 07:14:57","extension":"pdf","order_by":0,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":876075,"visible":true,"origin":"","legend":"","description":"","filename":"manuscript.pdf","url":"https://assets-eu.researchsquare.com/files/rs-8918438/v1/173008c3-aa1b-41ce-a94a-ec1121e094d1.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Development and Validation of a Nomogram Model for Predicting Dislocation of the Long","fulltext":[{"header":"Introduction","content":"\u003cp\u003eAs a key structure within the shoulder joint, the long head of the biceps tendon (LHBT) originates from the supraglenoid tubercle of the scapula and the glenoid labrum (with approximately 50% originating from the superior labrum). Its unique anatomical position and complex biomechanical functions play an important role in maintaining shoulder joint stability and preventing excessive anterior displacement of the humeral head [1]. The LHBT can present various pathological conditions, including tendinitis, partial or complete tears, and instability manifesting as subluxation or dislocation [2]. This study focuses on LHBT instability. Clinical studies have identified the biceps tendon as a common source of shoulder pain and related disorders, although the exact incidence of LHBT instability remains unclear [1].\u003c/p\u003e\n\u003cp\u003eLHBT injury is strongly correlated with rotator cuff injury [3,4]. A study based on computed tomography arthrography reported that medial displacement of the LHBT may occur in up to 16% of rotator cuff tears. Meanwhile, a recent arthroscopic study found LHBT instability in 45% of patients with rotator cuff tears, including 16% with isolated anterior instability, 19% with isolated posterior instability, and 10% with combined anteroposterior instability [2]. Isolated biceps tendon lesions without accompanying rotator cuff pathology have also been reported [5,6]. The latest study by Urita et al. indicated that hypertrophy of the bicipital groove or subscapularis tears may be helpful in identifying LHBT disorders. Despite continuous advances in rotator cuff repair surgery, postoperative LHBT dislocation remains a significant risk, seriously affecting patients' functional recovery and quality of life. Therefore, accurately assessing a patient's risk of LHBT dislocation and implementing personalized preventive management have become urgent clinical challenges.\u003c/p\u003e\n\u003cp\u003eCurrently, the diagnostic evaluation of LHBT dislocation relies primarily on empirical methods such as preoperative MRI examination. Most of these methods are based on single indicators or subjective experience,\u0026nbsp;making it difficult to comprehensively consider multi-dimensional clinical data. Moreover, these methods are often subjective and have inherent limitations.In this context, developing an accurate, objective, and comprehensive disease prediction model has become a key research focus. Accurate risk prediction can not only assist surgeons in formulating personalized surgical plans but also enable the identification and early intervention of high-risk patients.\u003c/p\u003e\n\u003cp\u003eIn recent years, with advances in big data and machine learning technologies, disease prediction models based on multi-dimensional data have emerged. Machine learning methods can automatically identify complex patterns from large datasets and, compared to traditional statistical methods, can more accurately reveal interactions between variables, thereby significantly improving the performance of prediction models. Therefore, integrating machine learning algorithms into LHBT dislocation prediction represents an important direction for enhancing clinical decision-making. This study innovatively combines SPSS, the R programming framework, and machine learning algorithms to develop and validate a dynamic predictive nomogram model for LHBT dislocation risk, aiming to provide a more reliable quantitative tool for clinical practice.\u003c/p\u003e"},{"header":"Materials and Methods","content":"\u003ch3\u003eStudy Subjects\u003c/h3\u003e\n\u003cp\u003eA total of 300 patients with rotator cuff tears who underwent MRI and CT examinations in the Department of Orthopaedics IV, The Third Hospital of Hebei Medical University, from November 2023 to November 2025 were initially enrolled. After screening based on inclusion and exclusion criteria, 193 patients were finally included. All patients underwent rotator cuff repair surgery performed by experienced senior surgeons in the department. The study was conducted in strict accordance with ethical standards, and no patient-identifiable information was disclosed.Ethical approval for this study was obtained from The Third Hospital of Hebei medical university(2024-139-1).The equirement for informed consent wsa waived due to its retrospective nature.\u0026nbsp;\u003c/p\u003e\n\u003ch3\u003eInclusion Criteria\u003c/h3\u003e\n\u003cul type=\"disc\"\u003e\n \u003cli\u003eDiagnosed with a rotator cuff tear via imaging at The Third Hospital of Hebei Medical University;\u003c/li\u003e\n \u003cli\u003eAged 18–75 years;\u003c/li\u003e\n \u003cli\u003ePresented with pain or limited activity caused by rotator cuff and/or LHBT pathology;\u003c/li\u003e\n \u003cli\u003eMRI showed LHBT dislocation or subluxation.\u003c/li\u003e\n\u003c/ul\u003e\n\u003ch3\u003eExclusion Criteria\u003c/h3\u003e\n\u003cul type=\"disc\"\u003e\n \u003cli\u003eComplicated by severe shoulder lesions (e.g., glenohumeral joint dislocation, greater tuberosity or surgical neck fracture of the humerus, bony Bankart lesion, labral tear, etc.);\u003c/li\u003e\n \u003cli\u003eHistory of systemic diseases (e.g., rheumatoid arthritis, diabetes, neuropathy, cervical spondylosis with radiation to the shoulder, etc.);\u003c/li\u003e\n \u003cli\u003eHistory of ipsilateral shoulder surgery or injection therapy;\u003c/li\u003e\n \u003cli\u003eLHBT loss due to spontaneous rupture or prior surgery;\u003c/li\u003e\n \u003cli\u003eIncomplete imaging data.\u003c/li\u003e\n\u003c/ul\u003e\n\u003ch3\u003eClinical Data\u003c/h3\u003e\n\u003cp\u003eGeneral information, clinical data, and imaging parameters were recorded, including name, hospital number, contact information, age, gender, admission symptoms, symptom duration, history of hypertension, smoking history, drinking history, depth of the bicipital groove, width of the bicipital groove, medial wall angle (MWA), lateral wall angle (LWA), total opening angle (TOA), etc. [1,4].\u003c/p\u003e\n\u003cp\u003ePreoperative CT data of the bicipital groove were measured. The measurement plane was aligned flush with the line connecting the greater and lesser tuberosities and positioned at 90° to the floor of the bicipital groove.（Figure 1-1）\u003c/p\u003e\n\u003ch3\u003eGrouping Indicator\u003c/h3\u003e\n\u003cp\u003eAs reported by Buck et al., humeral rotation does not significantly affect the position of the LHBT relative to the bicipital groove [7]. Therefore, based on MRI findings, LHBT dislocation was defined as the LHBT detaching from the bicipital groove and displacing medially into the joint capsule, subscapularis tendon, or outside the joint capsule [3,8,20].(Figure 1-2)\u003c/p\u003e\n\u003ch3\u003eStatistical Methods\u003c/h3\u003e\n\u003cp\u003eAll data analyses were performed using R software (version 4.5.2), with main packages including glmnet (for Lasso regression), rms (for nomogram construction), pROC (for ROC curve analysis), and caret (for logistic regression). The significance level was set at p \u0026lt; 0.05. To construct the LHBT dislocation prediction model and evaluate correlations between clinical factors and postoperative recovery, multiple statistical methods were used, including univariate analysis, Lasso regression, logistic regression, calibration curves, and related statistical tests. Sample size calculation was performed using the formula derived from the Gaussian distribution: n = (z·s/e)^2, where n is the minimum sample size, z = 1.96 for a 5% significance level, s is the sample standard deviation, and e is the acceptable error [9].\u003c/p\u003e"},{"header":"Results","content":"\u003ch3\u003eGeneral Data\u003c/h3\u003e\n\u003cp\u003eA total of 193 patients with rotator cuff tears were enrolled and stratified into two groups based on the presence of long head of biceps tendon (LHBT) dislocation: a dislocation group (n=55) and a non-dislocation group (n=138). Intergroup comparisons of demographic, clinical, and radiographic variables were performed using chi-square tests for categorical variables and independent t-tests or non‑parametric equivalents for continuous variables, as appropriate.No statistically significant differences were observed between the two groups in terms of sex distribution, age, or symptom duration. The dislocation group comprised 23 females (41.8%) and 33 males (58.2%), while the non-dislocation group included 85 females (61.6%) and 53 males (38.4%) (p\u0026gt;0.05). The mean age was 58.24±8.67 years in the dislocation group and 58.56±9.72 years in the non-dislocation group (p\u0026gt;0.05). Median symptom duration was 2 months (IQR: 0.58–6.00) in both groups (p\u0026gt;0.05).Significant intergroup differences were noted in certain morphological parameters. The medial wall angle (MWA) was significantly smaller in the dislocation group (34.68°±7.61°) compared with the non-dislocation group (44.40°±6.32°) (p\u0026lt;0.05). Similarly, the total opening angle (TOA) was significantly larger in the dislocation group (median 100.10°, IQR 94.85°–109.25°) than in the non-dislocation group (median 90.10°, IQR 78.33°–98.80°) (p\u0026lt;0.05). Bicipital groove depth also differed significantly between groups (0.93±0.17 cm vs. 0.90±0.17 cm, p\u0026lt;0.05). In contrast, bicipital groove width (0.37±0.09 cm vs. 0.42±0.08 cm, p\u0026gt;0.05) and lateral wall angle (LWA; median 44.00° in both groups, p\u0026gt;0.05) showed no significant differences.\u003c/p\u003e\n\u003cp\u003e\u003cimg width=\"476\" height=\"431\" 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\" alt=\"表2-1\"\u003e\u003c/p\u003e\n\u003ch3\u003eLogistic Regression Analysis\u003c/h3\u003e\n\u003cp\u003eWe further used a logistic regression model to evaluate the impact of these variables on LHBT dislocation. The results showed that gender (p\u0026lt;0.05), medial wall angle (p\u0026lt;0.01), total opening angle (p\u0026lt;0.01), width of the bicipital groove (p\u0026lt;0.05), and depth of the bicipital groove (p\u0026lt;0.05) were statistically significant predictors. Details are provided in the corresponding table.\u003c/p\u003e\n\u003cp\u003e\u003cimg width=\"471\" height=\"396\" 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\" alt=\"2-2\"\u003e\u003c/p\u003e\n\u003ch3\u003eEstablishment and Validation of the Nomogram\u003c/h3\u003e\n\u003cp\u003eThe ROC curves for the training and validation sets are shown in the figure, with AUC values of 0.85 (training set) and 0.89 (validation set), respectively. The results indicated good agreement between predicted and actually observed values in both sets. The calibration curve demonstrated that the bias-corrected line was close to the ideal line, indicating a high degree of concordance between the model's predicted probabilities and the actual observed outcomes.\u003c/p\u003e"},{"header":"Discussion","content":"\u003ch3\u003ePredictive Factors\u003c/h3\u003e\n\u003cp\u003eBased on multi-dimensional clinical and imaging data, this study successfully developed and validated a nomogram model for predicting LHBT dislocation risk. The results indicated that gender, medial wall angle (MWA) of the bicipital groove, and total opening angle (TOA) are key predictive factors.\u003c/p\u003e\n\u003cp\u003eMultiple clinical studies have shown that the incidence of LHBT dislocation is significantly higher in male patients than in females [10]. This gender difference may stem from several factors: Males are more likely to engage in heavy physical labor or high-intensity sports (e.g., weightlifting, throwing), which place greater stress on the shoulder joint and can lead to injury or wear of the soft tissues (e.g., transverse humeral ligament) that maintain tendon stability [11], thereby predisposing to dislocation. Additionally, Petersson's study suggested that the morphology of the bicipital groove in males may exhibit specific variations that increase susceptibility to tendon instability [12].Certain high-intensity occupations (e.g., construction, athletics) are male-dominated, and long-term repetitive overuse or acute injuries directly increase the risk of LHBT dislocation. The theory proposed by Smith and Hotaling suggests that estrogen may have a protective effect on tendons and ligaments [13], which may partially explain the relatively lower incidence in females.\u003c/p\u003e\n\u003cp\u003eIt is worth noting that while the overall risk is higher in males, female patients, particularly postmenopausal women or those with severe rotator cuff degeneration, may also experience LHBT dislocation. Therefore, gender should be considered an important but not independent predictive indicator, and a comprehensive risk assessment should incorporate other factors.\u003c/p\u003e\n\u003cp\u003eThe total opening angle (TOA) demonstrated the strongest predictive power in this study. TOA can be understood as the turning angle of the LHBT within the \"bony pulley\" of the bicipital groove. An excessively large angle (increased TOA) weakens the bony constraint of the groove on the tendon, leading to loss of tendon control and a significantly increased dislocation risk. This finding aligns with the study by Jae Chul Yoo et al., which also suggested that a shallow and flat bicipital groove (corresponding to a larger TOA) is a high-risk factor for instability [14]. Although TOA measurement may be influenced by operator experience, it holds important clinical reference value as an objective imaging parameter.\u003c/p\u003e\n\u003cp\u003eThe logistic regression analysis in this study indicated an\u0026nbsp;inverse correlation\u0026nbsp;between the medial wall angle (MWA) of the bicipital groove and LHBT dislocation; that is, as the MWA decreases, the risk of dislocation tends to increase. Analysis of the baseline data supports the association between a smaller MWA and tendon dislocation accompanied by aggravated pain. Anatomically, the biceps tendon typically adheres to the lesser tuberosity during force application. Therefore, the inclination of the medial wall plays a key role in maintaining tendon stability within the groove—a larger MWA is more conducive to stability. Pfahler et al. evaluated bicipital groove morphology via tangential radiographs and combined this with ultrasound and clinical symptoms, finding that even without MRI assessment of tendon stability, LHBT dislocation was significantly correlated with a smaller medial opening angle [15]. The study by Slatis and Aalto further pointed out that underdevelopment of the medial wall of the bicipital groove is an important anatomical factor inducing LHBT dislocation [16]. Additionally, Hitchcock and Bechtol emphasized the importance of the angle formed by the line connecting the greater and lesser tuberosities with the medial wall in tendon stability [17].\u003c/p\u003e\n\u003cp\u003eThe depth and width of the bicipital groove showed correlation with LHBT dislocation in univariate analysis but did not demonstrate independent statistical significance in the regression model (p \u0026gt; 0.05). This finding differs from some prior studies suggesting that \"a shallow bicipital groove is an important factor for LHBT dislocation.\" Historically, the relationship between bicipital groove morphology and tendon stability has been explored for decades [15,18]. Meyer reported that 17.5% of 200 humeral specimens had a supratubercular ridge and noted that its presence might increase dislocation risk. Hitchcock and Bechtol further found that the supratubercular ridge is related to osteophytes in the bicipital groove, with 59% and 8% of specimens having moderately or significantly developed ridges, respectively. These bony variations can significantly alter the actual depth of the groove, thereby affecting tendon stability [17]. Spritzer et al. also indicated that bicipital groove morphology is associated with LHBT instability, but their study was limited by sample size and statistical methods, providing only weak quantitative support [8]. Furthermore, there is still no unified definition of \"deep\" versus \"shallow\" groove in the literature, complicating comparison and synthesis across studies. Notably, LHBT instability can occur even in patients without rotator cuff injury, suggesting that besides bony structures, other soft-tissue constraint mechanisms may contribute to tendon stability. Although the bony contour of the bicipital groove has a relatively secondary constraining effect compared to soft tissues, it still plays a role in limiting abnormal tendon movement [1,9,19]. The lack of an independent correlation between groove depth and dislocation in this study may be due to: (1) a relatively limited sample size\u0026nbsp;\u003cimg width=\"34\" height=\"15\" src=\"data:image/png;base64,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\" alt=\"image\"\u003e, potentially leading to insufficient statistical power to detect subtle to moderate effects; (2) the absence of stratified analysis by type, specific location, and degree of tendon injury, factors which may variably interfere with LHBT stability and thereby mask the independent effect of groove depth [19,20]. Despite the non-significant result, this study retains clinical relevance. When evaluating LHBT dislocation risk, the interaction between specific characteristics of shoulder tendon injury (type, location, degree) and bicipital groove morphology should be comprehensively considered.\u003c/p\u003e\n\u003ch3\u003eSignificance of Establishing a Nomogram Model for Predicting LHBT Dislocation Risk\u003c/h3\u003e\n\u003cp\u003eAs a common cause of anterior shoulder pain in patients with rotator cuff tears, LHBT dislocation is widely recognized. Predicting its occurrence aims to address patient pain and improve quality of life. With continuous advances in surgical technique, the success rate of rotator cuff repair has greatly improved. However, despite surgical progress, postoperative rehabilitation outcomes vary considerably. Some patients recover normal activity levels and pain relief relatively quickly, while others experience slow recovery, persistent anterior shoulder pain, or even intractable pain. This suggests we still lack precise understanding and detection of LHBT pathology in rotator cuff injury patients. Consequently, there is a need to develop an effective method for comprehensively and accurately predicting LHBT dislocation. The occurrence of LHBT dislocation is influenced by multiple factors, including gender, smoking history, drinking history, and bicipital groove morphology (depth, MWA, TOA, etc.). Therefore, systematically integrating these factors to establish an effective risk prediction model for facilitating precise treatment has become an important research and clinical objective. Clinical prediction models can help clinicians formulate personalized treatment and rehabilitation plans, provide patients with more accurate prevention strategies, improve patient awareness of their condition, and enable measures to prevent complications.\u003c/p\u003e\n\u003cp\u003eA nomogram is a statistical tool that comprehensively calculates and visually presents multiple variables, widely used in medical prognostic evaluation. By combining clinical data with statistical analysis, it constructs an intuitive chart to help clinicians comprehensively assess patient prognosis based on multiple factors. In a nomogram, each clinical variable (e.g., gender, total opening angle) corresponds to a score; the sum of these scores yields a prognostic score, predicting postoperative recovery. The construction process typically involves: (1) collecting substantial clinical data to ensure accuracy and representativeness; (2) using statistical methods (e.g., Cox regression, logistic regression) to analyze each variable's impact on prognosis and determine its weight; (3) converting each variable's weight into a score represented by position and length on the nomogram; (4) allowing clinicians to locate corresponding scores based on patient-specific data, calculate the total score, and obtain a prognostic prediction. This strongly supports the formulation of individualized treatment and rehabilitation plans.\u003c/p\u003e\n\u003ch2\u003eLimitations\u003c/h2\u003e\n\u003cp\u003eThis study has several limitations. First, as a single-center retrospective study with a relatively limited sample size (n=193), selection bias may exist, and the statistical power might be insufficient to detect subtle effects. Second, the lack of long-term follow-up data prevents evaluation of the model’s long-term predictive performance. Third, other potential confounding factors not included in the analysis might influence the results. Future research should enhance the model’s robustness and clinical applicability by expanding the sample size, conducting multi-center external validation, and incorporating long-term follow-up data with more detailed classification of rotator cuff injuries.\u003c/p\u003e"},{"header":"Conclusion","content":"\u003cp\u003eGender, smoking history,\u0026nbsp;medial wall angle of the \u003cstrong\u003ebicipital groove\u003c/strong\u003e, total opening angle, width, and length of the bicipital groove are risk factors for LHBT dislocation, among which gender and medial wall angle of the bicipital groove hold significant statistical relevance.\u003c/p\u003e"},{"header":"Declarations","content":"\u003cul type=\"disc\"\u003e\n \u003cli\u003eEthics approval and consent to participate\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp\u003eThis study adhered to the Declaration of Helsinki (2013 revision) and was approved by the Institutional Review Board (IRB) of the Third Hospital of Hebei Medical University (Approval No.: 2024-139-1). The requirement for written informed consent from participants was waived by the IRB due to the retrospective design of the study.\u003c/p\u003e\n\u003cul type=\"disc\"\u003e\n \u003cli\u003eConsent for publication\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp\u003e\u003cstrong\u003eNot Applicable\u003c/strong\u003e. This study did not include any identifying images, personal information, or clinical details of participants that could compromise anonymity. All clinical data and imaging materials used in the study were fully de-identified and anonymized prior to analysis, and no patient-identifiable content was presented in the manuscript. Thus, the need for separate written consent for publication from participants was waived by the Institutional Review Board of the Third Hospital of Hebei Medical University.\u003c/p\u003e\n\u003cul type=\"disc\"\u003e\n \u003cli\u003eAvailability of data and materials\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp\u003eThe data that support the findings of this study are available from the corresponding author upon reasonable request.\u003c/p\u003e\n\u003cul type=\"disc\"\u003e\n \u003cli\u003eCompeting interests\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp\u003eThe authors declare that they have no competing interests.\u003c/p\u003e\n\u003cul type=\"disc\"\u003e\n \u003cli\u003eFunding\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp\u003eNo funding was obtained for this study.\u003c/p\u003e\n\u003cul type=\"disc\"\u003e\n \u003cli\u003eAuthors' contributions\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp\u003eJiangtao Dong: research design and implementation; Jiangtao Gao: research, data collection and thesis writing; Siman Tian,Yi Zheng,Yue Geng: data analysis and thesis review; Zhikuan Li,Ruoxi Zhang: Collect data and organize personnel evaluation.\u003c/p\u003e\n\u003cul type=\"disc\"\u003e\n \u003cli\u003eCorresponding author\u003c/li\u003e\n\u003c/ul\u003e\n\u003cp\u003eJiangtao Dong Hebei Medical University the Third Hospital, Shijiazhuang, China. (Email:[email protected]/[email protected])\u003c/p\u003e"},{"header":"References","content":"\u003col\u003e\n\u003cli\u003eNho SJ, Strauss EJ, Lenart BA, et al. Long head of the biceps tendinopathy:diagnosis and management. J Am Acad Orthop Surg 2010; 18: 645\u0026ndash;56.https://doi.org/10.5435/00124635-201011000-00002\u003c/li\u003e\n\u003cli\u003eLafosse L, Reiland Y, Baier GP, et al. Anterior and posterior instability of the long head of the biceps tendon in rotator cuff tears: a new classification based on arthroscopic observations. Arthroscopy 2007; 23: 73\u0026ndash;80.https://doi.org/10.1016/j.arthro.2006.08.025\u003c/li\u003e\n\u003cli\u003eWalch G, Nove-Josserand L, Boileau P, et al. Subluxations and dislocations of the tendon of the long head of the biceps. J Shoulder Elbow Surg 1998; 7: 100\u0026ndash;108. https://doi.org/10.1016/s1058-2746(98)90218-x\u003c/li\u003e\n\u003cli\u003eUrita A, Funakoshi T, Amano T, et al. Predictive factors of long head of the biceps tendon disorders-the bicipital groove morphology and subscapularis tendon tear. J Shoulder Elbow Surg 2016; 25: 384\u0026ndash;389. https://doi.org/10.1016/j.jse.2015.12.015\u003c/li\u003e\n\u003cli\u003ePetersson CJ.Spontaneous medial dislocation of the tendon of the long biceps brachii. an anatomic study of prevalence and pathomechanics. Clin Orthop Relat Res 1986; 211: 224\u0026ndash;227. \u003c/li\u003e\n\u003cli\u003eO\u0026rsquo;Donoghue DH. Subluxing biceps tendon in the athlete. Clin Orthop Relat Res 1982; 164: 26\u0026ndash;9. \u003c/li\u003e\n\u003cli\u003eBuck FM, Dietrich TJ, Resnick D, et al. Long biceps tendon: normal position, shape, and orientation in its groove in neutral position and external and internal rotation. Radiology 2011; 261: 872\u0026ndash;881.https://doi.org/10.1148/radiol.11110914\u003c/li\u003e\n\u003cli\u003eSpritzer CE, Collins AJ, Cooperman A, et al. Assessment of instability of the long head of the biceps tendon by MRI. Skeletal Radiol 2001; 30: 199\u0026ndash;207. https://doi.org/10.1007/s002560100334\u003c/li\u003e\n\u003cli\u003eYamane T. Statistics: an introductory analysis. New York: Harper International, 1973. \u003c/li\u003e\n\u003cli\u003eWoodmass JM, McRae SMB, Lapner PL, et al. Effect of age, gender, and body mass index on incidence and satisfaction of a Popeye deformity following biceps tenotomy or tenodesis: secondary analysis of a randomized clinical trial. J Shoulder Elb Surg. 2021;30(8):1733-1740. doi: 10.1016/j.jse.2021.05.003https://doi.org/10.1016/j.jse.2021.05.003\u003c/li\u003e\n\u003cli\u003eKhan R, Satyapal KS, Naidoo N, Lazarus L. Long head of biceps brachii tendon and transverse humeral ligament morphometry and their associated pathology. Folia Morphol (Warsz). 2020;79(2):359-365. doi: 10.5603/FM.a2019.0075. Epub 2019 Aug 26. PMID: 31448814.https://doi.org/10.5603/fm.a2019.0075\u003c/li\u003e\n\u003cli\u003ePetersson CJ. Spontaneous medial dislocation of the tendon of the long biceps brachii. An anatomic study of prevalence and pathomechanics. Clin Orthop Relat Res. 1986 Oct;(211):224-7. PMID: 3769261.\u003c/li\u003e\n\u003cli\u003eSmith KM, Hotaling JM, Presson AP, Zhang C, Horns JJ, Cannon-Albright LA, Teerlink CC, Tashjian RZ, Chalmers PN. The Effect of Sex Hormone Deficiency on the Incidence of Rotator Cuff Repair: Analysis of a Large Insurance Database. J Bone Joint Surg Am. 2022 May 4;104(9):774-779. doi: 10.2106/JBJS.21.00103. Epub 2022 Apr 12. PMID: 35506951.ttps://doi.org/10.2106/jbjs.21.00103\u003c/li\u003e\n\u003cli\u003eYoo JC, Iyyampillai G, Park D, et al.The influence of bicipital groove morphology on the stability of the long head of the biceps tendon. J Orthop Surg (Hong Kong). 2017 May-Aug;25(2):2309499017717195. doi: 10.1177/2309499017717195. PMID: 28659056.]https://doi.org/10.1177/2309499017717195\u003c/li\u003e\n\u003cli\u003eSlatis P and Aalto K. Medial dislocation of the tendon of the long head of the biceps brachii. Acta Orthop Scand 1979; 50: 73\u0026ndash;77. https://doi.org/10.3109/17453677909024092\u003c/li\u003e\n\u003cli\u003eHitchcock HH and Bechtol CO. Painful shoulder; observations on the role of the tendon of the long head of the biceps brachii in its causation. J Bone Joint Surg Am 1948; 30A: 263\u0026ndash;273. \u003c/li\u003e\n\u003cli\u003eAbboud JA, Bartolozzi AR, Widmer BJ, et al. Bicipital groove morphology on MRI has no correlation to intra articular biceps tendon pathology. J Shoulder Elbow Surg 2010; 19: 790\u0026ndash;794. https://doi.org/10.1016/j.jse.2010.04.044\u003c/li\u003e\n\u003cli\u003eGleason PD, Beall DP, Sanders TG, et al. The transverse humeral ligament: a separate anatomical structure or acontinuation of the osseous attachment of the rotator cuff? Am J Sports Med 2006; 34: 72\u0026ndash;77. https://doi.org/10.1177/036354650603401026\u003c/li\u003e\n\u003cli\u003eHunt SA, Kwon YW, Zuckerman JD. The rotator interval: anatomy, pathology, and strategies for treatment. J Am Acad Orthop Surg. 2007 Apr;15(4):218-27. doi: 10.5435/00124635-200704000-00005. PMID: 17426293. https://doi.org/10.5435/00124635-200704000-00005\u003c/li\u003e\n\u003cli\u003eLu Y, Li Y, Zhang H, Li X, Li F, Jiang C. The Correlation between Variation of Labral Attachment and Lesions of the Long Head of the Biceps Tendon in Patients with Rotator Cuff Tears. Orthop Surg. 2023 Aug;15(8):1967-1974. doi: 10.1111/os.13534. Epub 2022 Dec 2. PMID: 36458404; PMCID: PMC10432495. https://doi.org/10.1111/os.13534\u003c/li\u003e\n\u003c/ol\u003e"}],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":true,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":false,"isAuthorSuppliedPdf":false,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":false,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"journal-of-orthopaedic-surgery-and-research","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"josr","sideBox":"Learn more about [Journal of Orthopaedic Surgery and Research](http://josr-online.biomedcentral.com)","snPcode":"13018","submissionUrl":"https://submission.nature.com/new-submission/13018/3","title":"Journal of Orthopaedic Surgery and Research","twitterHandle":"@MSKmedBMC","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"BMC/SO AJ","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"Dislocation of the long head of the biceps tendon, Rotator cuff tear, Prediction model, Nomogram","lastPublishedDoi":"10.21203/rs.3.rs-8918438/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-8918438/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003e\u003cstrong\u003ePurpose\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eThis study aimed to explore the risk factors for dislocation of the long head of the biceps tendon (LHBT) and to establish and validate a nomogram prediction model.\u0026nbsp;\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eMethods\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eA retrospective analysis was performed on the clinical data of 193 patients with rotator cuff tears who underwent MRI and CT examinations in the Department of Orthopaedics IV, The Third Hospital of Hebei Medical University, from November 2023 to November 2025. Preoperative morphological parameters of the bicipital groove, including width, length, medial wall angle, and total opening angle, were measured on CT. All data analyses were conducted using R software (version 4.5.2), with key statistical packages including glmnet (for Lasso regression analysis), rms (for nomogram construction), pROC (for ROC curve analysis), and caret (for logistic regression analysis) along with Zstats v1.0. The significance level was set at p \u0026lt; 0.05. To construct the LHBT dislocation prediction model and evaluate the correlation between clinical factors and postoperative recovery, multiple statistical methods were employed, including univariate analysis, Lasso regression, logistic regression, and calibration curve analysis.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eResults\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eA nomogram prediction model was successfully constructed. Univariate analysis and Lasso regression identified gender, smoking history, medial wall angle of the bicipital groove, total opening angle, and width and length of the bicipital groove as key influencing factors for dislocation. Further logistic regression analysis confirmed that the medial wall angle of the bicipital groove was a significant independent predictor.\u003c/p\u003e\n\u003cp\u003e\u003cstrong\u003eConclusions\u003c/strong\u003e\u003c/p\u003e\n\u003cp\u003eGender, medial wall angle of the bicipital groove, total opening angle, width, and length of the bicipital groove are risk factors for LHBT dislocation, with gender and medial wall angle showing significant statistical relevance. The calibration curves for the training and validation sets confirmed that the nomogram model for predicting LHBT dislocation possesses good predictive performance and offers reference value in clinical practice.\u003c/p\u003e","manuscriptTitle":"Development and Validation of a Nomogram Model for Predicting Dislocation of the Long","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2026-03-13 07:14:48","doi":"10.21203/rs.3.rs-8918438/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2026-04-05T11:12:53+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2026-04-04T00:31:21+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"237869790448248756199932144464091854166","date":"2026-04-04T00:23:54+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2026-03-21T15:46:49+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"26390675150164908277469213559190940938","date":"2026-03-18T15:48:09+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2026-03-06T08:14:46+00:00","index":"","fulltext":""},{"type":"editorAssigned","content":"","date":"2026-03-06T06:13:25+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2026-03-05T12:58:57+00:00","index":"","fulltext":""},{"type":"submitted","content":"Journal of Orthopaedic Surgery and Research","date":"2026-03-03T15:32:42+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"journal-of-orthopaedic-surgery-and-research","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"josr","sideBox":"Learn more about [Journal of Orthopaedic Surgery and Research](http://josr-online.biomedcentral.com)","snPcode":"13018","submissionUrl":"https://submission.nature.com/new-submission/13018/3","title":"Journal of Orthopaedic Surgery and Research","twitterHandle":"@MSKmedBMC","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"BMC/SO AJ","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"e2be2678-ff3b-4484-8df2-a1119d1bab4e","owner":[],"postedDate":"March 13th, 2026","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"under-review","subjectAreas":[],"tags":[],"updatedAt":"2026-05-12T01:53:29+00:00","versionOfRecord":[],"versionCreatedAt":"2026-03-13 07:14:48","video":"","vorDoi":"","vorDoiUrl":"","workflowStages":[]},"version":"v1","identity":"rs-8918438","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-8918438","identity":"rs-8918438","version":["v1"]},"buildId":"XKTyCvWXoU3ODBz1xrDgd","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}