簡易檢索 / 詳目顯示

研究生: 曾育興
Zeng, Yu-Xing
論文名稱: 基於動態電腦斷層掃描結合有限元素法辨識拇指腕掌關節韌帶參數及軟骨接觸力學分析
Identification of Ligament Parameters and Contact Mechanics Analysis of the Trapeziometacarpal Joint Based on Dynamical Computerized Tomographic Imaging and Finite Element Method
指導教授: 張怡玲
Chang, I-Ling
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2026
畢業學年度: 114
語文別: 中文
論文頁數: 291
中文關鍵詞: 拇指腕掌關節退化性關節炎有限元素法粒子群最佳化
外文關鍵詞: Trapeziometacarpal joint, Osteoarthritis, Finite element method, Particle swarm optimization
相關次數: 點閱:6下載:0
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 本研究旨在結合動態電腦斷層掃描影像與個體化有限元素模型,建立一套以最佳化演算法逆向求取拇指腕掌(trapeziometacarpal, TMC)關節五條主要韌帶剛度之方法,量化不同個案之韌帶力學特性。 在此基礎上,進一步選取單一個案之生物力學模型與反推韌帶參數,進行關節應力分析,系統性模擬韌帶弱化與關節軟骨磨損等退化性關節炎相關病理機制,評估其對軟骨負荷與接觸應力分布的影響,並探討不同韌帶重建手術情境是否有助於緩和關節軟骨之應力集中。
    實驗共招募 12 位健康右手慣用之受試者,於雙源電腦斷層掃描儀下進行一組靜態 CT 與多組動態 4DCT 掃描,同步使用客製化力學量測系統記錄四種標準化受力姿勢(MP、UMCH、DMCH、DMCB)下的施力時間歷程。影像經分割與配準後重建大多角骨、第一掌骨與第二掌骨幾何,並結合 SLB-50 感測器位置與受力資訊,建立個體化 TMC 關節有限元素模型,設定骨骼與韌帶之材料性質與邊界條件。進一步以各姿勢之實測力—位移資料作為目標,透過粒子群最佳化迭代計算,反推每位受試者五條主要韌帶的等效剛度,再於單一個案模型中加入關節軟骨元素,比較正常與磨損軟骨的接觸應力分布,並系統性削弱各韌帶剛度,以評估其在不同姿勢下的關鍵穩定功能。
    研究成果發現經最佳化後的韌帶剛度數值,是以 DCL 與 DRL 為最大,符合近期文獻的觀點。進一步的姿勢分析證實,不同動作下主導關節穩定性的韌帶有所差異;在軟骨磨損(厚度減少)情境中,多數姿勢的應力峰值與平均應力皆明顯升高。此外,本研究亦發現,多數姿勢在進行韌帶重建手術後,其關節應力峰值與平均應力皆有下降趨勢,顯示適當的重建張力有助於改善軟骨受力環境。

    This study developed a subject–specific finite element framework to investigate ligament mechanics and cartilage stresses in the trapeziometacarpal (TMC) joint. In vitro loading experiments were performed on 12 healthy volunteers using a customized stress–view system and dynamic computed tomography to capture joint kinematics under four functional postures. Segmented and registered bone models of the trapezium, first, and second metacarpals were imported into an FE platform, where the five primary TMC ligaments were represented as connector elements and experimental loads and displacements were applied.
    A tailored particle swarm optimization algorithm was employed to inversely identify equivalent stiffness values for each ligament in every subject. The dorsal ligaments, DCL and DRL, consistently exhibited the highest stiffness and the greatest inter–subject variability, while the anterior oblique ligament ranked third, highlighting the dominant yet heterogeneous role of dorsal stabilizers. A representative subject was then used for cartilage contact analysis with a hyperelastic cartilage model to evaluate the combined effects of posture, ligament laxity, cartilage thinning, and surgical reconstruction.
    Posture–specific stabilizer ligaments were identified, and selective laxity of these ligaments markedly increased peak and mean cartilage stresses by shifting load to the articular surface. Cartilage wear alone, modeled as a 40% reduction in thickness, substantially elevated stresses, and its combination with ligament laxity produced additive stress amplification. These findings suggest that ligamentous stability and cartilage integrity must be jointly balanced when planning ligament release, reconstruction, or rehabilitation strategies for TMC osteoarthritis.

    中文摘要 I Abstract II 誌謝 XVIII 目錄 XIX 表目錄 XXIII 圖目錄 XXVI 符號說明 XXXIII 第一章 緒論 1 1.1 研究背景 1 1.2 文獻回顧 2 1.3 研究動機與目的 8 1.3.1 研究動機 8 1.3.2 研究目的 9 1.4 本文架構 10 第二章 拇指腕掌關節生物力學 11 2.1 手部解剖結構 11 2.1.1 手部骨骼、關節與方向術語介紹 11 2.1.2 手部基本解剖動作 14 2.2 拇指腕掌關節解剖學 18 2.2.1 拇指腕掌關節韌帶系統 19 2.2.2 拇指腕掌關節周圍的肌肉 21 2.3 退化性關節炎的生理機制 22 2.4 人體動作影像學取得及三維重建 28 2.4.1 三維影像的取得與分割 28 2.4.2 影片配準技術 31 2.4.3 建模軟體與三維重建 33 2.5 有限元素法於腕部生物力學進展 35 2.5.1 生物材料的力學性質 35 2.5.2 骨骼、韌帶與軟骨的力學性質 42 2.5.3 腕部生物力學的有限元素模型 54 2.6 逆向材料機械性質測定 59 第三章 研究方法 62 3.1 實驗設計與資料取得 62 3.1.1 研究對象 62 3.1.2 實驗設備 63 3.1.3 動作姿態設計 71 3.1.4 實驗流程 78 3.2 影像處理與三維重建 80 3.2.1 骨骼及力感測器的影像分割 80 3.2.2 TMC 關節解剖座標系 81 3.2.3 迭代最近點演算法原理 83 3.2.4 TMC 關節的影像配準實作 86 3.3 實驗力學資料處理 87 3.4 有限元素模型建立 89 3.4.1 幾何模型的建立 89 3.4.2 骨骼、韌帶的材料性質 92 3.4.3 載重、邊界與接觸條件配置 92 第四章 韌帶參數最佳化 95 4.1 粒子群最佳化演算法 95 4.1.1 基本原理 95 4.1.2 演算法機制 96 4.2 韌帶參數最佳化程序 99 4.2.1 負載與邊界條件數值賦予 100 4.2.2 設計變數與約束條件 108 4.2.3 目標函數的建立 110 4.2.4 最佳化計算架構 112 4.3 韌帶參數最佳化結果 114 4.3.1 最佳化收斂性分析 114 4.3.2 受試者韌帶參數辨識結果 118 4.4 韌帶參數最佳化分析與限制 121 第五章 軟骨磨損與韌帶功能變化之力學分析 124 5.1 模擬含有軟骨的有限元素模型 124 5.1.1 軟骨幾何模型建立 124 5.1.2 有限元素模型相關設定 126 5.1.3 網格尺寸收斂性分析 129 5.2 正常軟骨且原始韌帶之基準狀況 133 5.3 軟骨磨損對關節間軟骨應力分布的影響 136 5.4 韌帶鬆弛對關節間軟骨應力分布的影響 139 5.4.1 正常軟骨厚度下的韌帶鬆弛效應 140 5.4.2 軟骨磨損下的韌帶鬆弛效應 153 5.5 外科手術的韌帶增強效應 161 5.5.1 韌帶疊覆術模擬 161 5.5.2 不同重建手術模擬 167 5.6 臨床意義討論與研究限制 177 第六章 結論與未來展望 181 6.1 本文結論 181 6.2 未來展望 182 參考文獻 184 附錄A:三維模型於 Rhinoceros 3D 的前處理流程 220 A.1 動態分割模型分類與力感測器配準 220 A.2 第二掌骨位移邊界條件在 Rhinoceros 3D 的計算 224 A.3 第一掌骨位移監測參考點如何在 Rhinoceros 3D 計算位移 225 A.4 韌帶附著點在不同個案間的自動化配準 228 附錄B:個體化有限元素模型自動化建模腳本設計 231 附錄C:關節應力分析之應力分布圖 235 C.1 正常軟骨厚度下的韌帶鬆弛效應 235 C.2 軟骨磨損下的韌帶鬆弛效應 247 C.3 正常軟骨厚度下模擬韌帶疊覆術 251

    [1] S. D. Carrigan, R. A. Whiteside, D. R. Pichora, and C. F. Small. Development of a three-dimensional finite element model for carpal load transmission in a static neutral posture. Annals of Biomedical Engineering, 31:718–725, 2003.
    [2] T. Valerio, J.-L. Milan, B. Goislard de Monsabert, and L. Vigouroux. The effect of trapeziometacarpal joint passive stiffness on mechanical loadings of cartilages. Journal of Biomechanics, 166:112042, 2024.
    [3] L.-C. Kuo, P.-H. Hsu, C.-K. Wang, I.-M.Jou, C.H.Hsu, and K.-N. An. Shall we profile the measuring postures and amounts of stress? a novel stress-view evaluation system for quantifying trapeziometacarpal joint laxity. Journal of Medical and Biological Engineering, 38:724–734, 2018.
    [4] A. Kurosawa, M. Higuchi, H. Tachiya, K. Tada, A. Murai, A. Tamai, and H. Kawashima. Finite element analysis to clarify stress on articular surface of thumb carpometacarpal joint in static loading conditions by using ct images. Journal of Biomechanical Science and Engineering, 19(2):23–00296, 2024.
    [5] P. D’Agostino, B. Dourthe, F. Kerkhof, G. H. Van Lenthe, F. Stockmans, and E. E. Vereecke. In vivo biomechanical behavior of the trapeziometacarpal joint in healthy and osteoarthritic subjects. Clinical Biomechanics, 49:119–127, 2017.
    [6] J. O. Edmunds. Current concepts of the anatomy of the thumb trapeziometacarpal joint. The Journal of Hand Surgery (American Volume), 36(1):170–182, 2011.
    [7] J. D. Lin, J. W. Karl, and R. J. Strauch. Trapeziometacarpal joint stability: the evolving importance of the dorsal ligaments. Clinical Orthopedics and Related Research, 472(4):1138–1145, 2013.
    [8] S. Batra and R. Kanvinde. Osteoarthritis of the thumb trapeziometacarpal joint. Current Orthopaedics, 21(2):135–144, 2007.
    [9] M. T. Y. Schnider, J. Zhang, C. G. Walker, A.-P. C. Weiss, A. L. Ladd, P. M. F. Nielsen, and T. Besier. Early morphologic changes in trapeziometacarpal joint bones with osteoarthritis. Osteoarthritis Cartilage, 26(10):1338–1344, 2018.
    [10] S. Sodha, D. Ring, D. Zurakowski, and J. B. Jupiter. Prevalence of osteoarthritis of the trapeziometacarpal joint. The Journal of Bone and Joint Surgery, 87(12):2614–2618, 2005.
    [11] M. Myohanen, E. Waris, P. H. Nordback, S. Mattila, and S. Aspinen. Substantial increase in the incidence of surgery for osteoarthritis of the base of the thumb between 1997 and 2019 in finland. In Vivo, 36(2):833–838, 2022.
    [12] F.-C. Su, C.-J. Lin, C.-K. Wang, G.-P. Chen, Y.-N. Sun, A. K. Chuang, and L.-C. Kuo. In vivo analysis of trapeziometacarpal joint arthrokinematics during multi-directional thumb motions. Clinical Biomechanics, 29(9):1009–1015, 2014.
    [13] Y. Kwong, A. O. Mel, G. Wheeler, and J. M. Troupis. Four-dimensional computed tomography(4dct): A review of the current status and applications. Journal of Medical Imaging and Radiation Oncology, 59(5):545–554, 2015.
    [14] P. C. Bettinger, R. L. Linscheid, R. A. Berger, W. P. Cooney, and K.-N. An. An anatomic study of the stabilizing ligaments of the trapezium and trapeziometacarpal joint. The Journal of Hand Surgery (American Volume), 24(4):786–798, 1999.
    [15] B. V. Brenk, R. R. Richards, M. B. Mackay, and E. L. Boynton. A biomechanical assessment of ligaments preventing dorsoradial subluxation of the trapeziometacarpal joint. Journal of Hand Surgery (American Volume), 23(4):607–611, 1998.
    [16] P. Jorda-Gomez, V. Vanaclocha, A. Vanaclocha, C. M. Atienza, V. Belloch, J.-M. Santabarbara, C. Barrios, N. Saiz-Sapena, E. Medina-Ripoll, and L. Vanaclocha. Cadaveric biomechanical studies of addisc total lumbar disc prosthesis. Clinical Biomechanics, 112:106185, 2021.
    [17] D. Sayed, K. Amirdelfan, R. K. Naidu, O. R. Raji, and S. Falowski. A cadaver based biomechanical evaluation of a novel posterior approach to sacroiliac joint fusion: Analysis of the fixation and center of the instantaneous axis of rotation. Medical Devices: Evidence and Research, 14:435–444, 2021.
    [18] M. N. Bajuri and M. R. Abdul Kadir. Computational Biomechanics of the Wrist Joint. Springer, 2013.
    [19] M. Dong, F. Kerkhof, G. Deleu, E. Vereecke, and A. Ladd. Using a finite element model of the thumb to study trapeziometacarpal joint contact during lateral pinch. Clinical Biomechanics, 101(10):105852, 2023.
    [20] P. C. Bettinger, W. P. Smutz, R. L. Linscheid, W. P. Cooney, and K. N. An. Material properties of the trapezial and trapeziometacarpal ligaments. Journal of Hand Surgery (American Volume), 25(6):1085–1095, 2000.
    [21] S. I. Fairgrieve and T. S. Oost. Human Skeletal Anatomy Laboratory: Manual and Workbook. Charles C Thomas Pub Ltd, 2001.
    [22] J. R. Doyle and M. J. Botte. Surgical Anatomy of the Hand and Upper Extremity. Lippincott Williams Wilkins, 2003.
    [23] J. G. Betts, K. A. Young, J. A. Wise, E. Johnson, B. Poe, D. H. Kruse, O. Korol, J. E. Johnson, M. Womble, and P. DeSaix. Anatomy and Physiology. OpenStax College, 2013.
    [24] T. Felix. Anthropomorphic hand optimization based on a latent space analysis. PhD thesis, Technische Universität Wien, 2011.
    [25] J. Colditz. Thumb terminology confusion. https://bracelab.com/clinicians-classroom/thumb-terminology-confusion, 2016.
    [26] AnatomyStuff. Hand and wrist anatomy overview. https://www.anatomystuff.com/, 2025.
    [27] W.-H. Choi and Y. Takeda. Geometric design and prototyping of a (2-rru)-urr parallel mechanism for thumb rehabilitation therapy. Machines, 9(3):50, 2024.
    [28] Clear PT Concepts. Types of grip. https://clearptconcepts.com/grip/, 2023.
    [29] M. Quinn. Classification of joints. https://teachmeanatomy.info/the-basics/joints-basic/classification-of-joints/, 2025.
    [30] M. Merle. Trapeziometacarpal joint arthritis. In M. Merle and A. Lim, editors, Elective Hand Surgery: Rheumatological and Degenerative Conditions, Nerve Compression Syndromes, pages 29–66. World Scientific, Singapore, 2011.
    [31] Connexions Web site OpenStax College Anatomy Physiology. Synovial joint. http://cnx.org/content/col11496/1.6/, 2013.
    [32] M. Esplugas, A. Lluch-Bergada, N. Mobargha, M. Llusa, E. Hagert, and M. Garcia-Elias. Trapeziometacarpal ligaments biomechanical study: Implications in arthroscopy. Journal of Wrist Surge, 5(4):277–283, 2016.
    [33] T. Imaeda, K. N. An, W. P. Cooney, and R. Linscheid. Anatomy of trapeziometacarpal ligaments. The Journal of Hand Surgery (American Volume), 18(2):226–231, 1993.
    [34] R. M. Kerr. The thumb carpometacarpal joint. https://radsource.us/thumb-carpometacarpal-joint/, 2013.
    [35] Z. M. Li, V. M. Zatsiorsky, and M. L. Latash. Contribution of the extrinsic and intrinsic hand muscles to the moments in finger joints. Clinical Biomechanics, 15(3):203–211, 2000.
    [36] O. Jones. Muscles of the hand. https://teachmeanatomy.info/upper-limb/muscles/hand/, 2024.
    [37] E. Okwumabua, M. A. Sinkler, and B. Bordoni. Anatomy, Shoulder and Upper Limb, Hand Muscles. StatPearls Publishing, 2023.
    [38] J. Hanger and J. Higgins. Anatomy of the hand. Surgery (Oxford), 43(2):115–119, 2025.
    [39] OpenStax College. Lumen learning- muscles of the pectoral girdle and upper limbs. https://courses.lumenlearning.com/suny-dutchess-anatomy-physiology/chapter/muscles-of-the-pectoral-girdle-and-upper-limbs/, 2014.
    [40] J. Gillis, K. Calder, and J. Williams. Review of thumb carpometacarpal arthritis classification, treatment and outcomes. Canadian Journal of Plastic Surgery, 19(4):134–138, 2011.
    [41] Y. K. Li and C. P. White. Carpometacarpal osteoarthritis of the thumb. Canadian Medical Association Journal, 185(2):149, 2013.
    [42] S. Cvijetić, N. Kurtagić, and D. Dekanić Ozegović. Osteoarthritis of the hands in the rural population: a follow-up study. European Journal of Epidemiology, 19(7):687–691, 2004.
    [43] L. Lucchetti. Carpometacarpal osteoarthritis: Symptoms, causes, treatments. https://www.medicalnewstoday.com/articles/carpometacarpal-osteoarthritis#causes, 2023.
    [44] J. J. Crisco, A. M. Morton, D. C. Moore, L. G. Kahan, A. L. Ladd, and A.-P. C. Weiss. Osteophyte growth in early thumb carpometacarpal osteoarthritis. Osteoarthritis and Cartilage, 27(9):1315–1323, 2019.
    [45] R. H. J. Baker, J. Al-Shukri, and T. R. C. Davis. Evidence-based medicine: Thumb basal joint arthritis. Plastic and Reconstructive Surgery, 139(1):256–266, 2017.
    [46] C. Henkel, C. Erikstrup, S. R. Ostrowski, O. B. Pedersen, and A. Troelsen. Genetics may affect the risk of undergoing surgery for rhizarthrosis. Journal of Orthopaedic Research, 42(5):1001–1008, 2024.
    [47] J. O. Edmunds. Traumatic dislocations and instability of the trapeziometacarpal joint of the thumb. Hand Clinics, 22(3):365–392, 2006.
    [48] T. J. Patel, P. K. Beredjiklian, and J. L. Matzon. Trapeziometacarpal joint arthritis. Current Reviews in Musculoskeletal Medicine, 6(1):1–8, 2012.
    [49] G. Taccardo, R. DE Vitis, G. Parrone, G. Milano, and F. Fanfani. Surgical treatment of trapeziometacarpal joint osteoarthritis. Joints, 1(3):138–144, 2014.
    [50] D. A. Neumann. Kinesiology of the Musculoskeletal System: Foundations for Physical Rehabilitation. Mosby, 2002.
    [51] C. D. Kennedy, M. C. Manske, and J. I. Huang. Classifications in brief: The eaton-littler classification of thumb carpometacarpal joint arthrosis. Clinical Orthopaedics and Related Research, 474(12):2729–2733, 2016.
    [52] P. Laronde, P. Duriez, V. Oca, M.-A. d’Almeida, and C. Hustin. Thumb basal joint arthritis: New classification, diagnostic and therapeutic algorithm. Hand Surgery and Rehabilitation, 41(4):419–425, 2022.
    [53] B. Nelson, R. Zama, I. Snee, K. K. Sanghavi, A. M. Giladi, and K. R. Means Jr. Development and assessment of the curtis thumb carpometacarpal osteoarthritis radiographic classification. Journal of Hand Surgery (Global Online), 7:100733, 2022.
    [54] N. C. Nuessle, E. Vögelin, and S. Hirsiger. Trapeziometacarpal osteoarthritis- a stepwise therapeutic approach. Swiss Medical Weekly, 151:w20465, 2021.
    [55] X. Zhang, Y. Feng, H. Zhao, X. Li, and H. Li. A multi-scale 3d otsu thresholding algorithm for medical image segmentation. Digital Signal Processing, 60:186–199, 2017.
    [56] L. Fang, T. Qiu, H. Zhao, and F. Lv. A hybrid active contour model based on global and local information for medical image segmentation. Multidimensional Systems and Signal Processing, 30:689–703, 2018.
    [57] X.-X. Yin, L. Sun, Y.-H. Fu, R.-L. Lu, and Y.-C. Zhang. U-net-based medical image segmentation. Journal of Healthcare Engineering, 2022(4189781), 2022.
    [58] Y. Yuan and Y. Cheng. Medical image segmentation with unet-based multi-scale context fusion. Scientific Reports, 14(1), 2024.
    [59] A. O. Vuola, S. U. Akram, and J. Kannala. Mask-rcnn and u-net ensembled for nuclei segmentation. In 2019 IEEE 16th International Symposium on Biomedical Imaging (ISBI 2019), pages 208–212, 2019.
    [60] J.-H. Shu, F.-D. Nian, and M.-H. Yu. An improved mask r-cnn model for multiorgan segmentation. Mathematical Problems in Engineering, 2020(1), 2020.
    [61] Z. Zhou, M. Zhang, J.-F. Chen, and X.-Q. Wu. Detection and classification of multi-magnetic targets using mask-rcnn. IEEE Access, 8, 2020.
    [62] F. Darzi and T. Bocklitz. A review of medical image registration for different modalities. Bioenginnering(Basel), 11(8):786, 2024.
    [63] JayKumaran. Understanding iterative closest point (icp) algorithm with code. https://learnopencv.com/iterative-closest-point-icp-explained/, 2025.
    [64] A. Almhdie, C. Léger, M. Deriche, and R. Lédée. Multimodal medical image registration using a novel implementation of the icp algorithm. In 15th European Signal Processing Conference (EUSIPCO 2007), pages 2277–2280, 2007.
    [65] J.-Y. Ma, J. Zhao, and A. L. Yuille. Non-rigid point set registration by preserving global and local structures. IEEE Transactions on Image Processing, 25(1):53–64, 2015.
    [66] T. Liu, N. M. Jomha, S. Adeeb, M. El-Rich, and L. Westover. Investigation of the average shape and principal variations of the human talus bone using statistic shape model. Frontiers in Bioengineering and Biotechnology, 8:656, 2020.
    [67] Y. Yao, A. Erdemir, and Z. Li. Finite element analysis for transverse carpal ligament tensile strain and carpal arch area. Journal of Biomechanics, 73:210–216, 2018.
    [68] M. Aretxabaleta, A. Roehler, C. F. Poets, A. B. Xepapadeas, B. Koos, and C. Weise. Automation of measurements for personalized medical appliances by means of cad software—application in robin sequence orthodontic appliances. Bioenginnering(Basel), 9(12):773, 2022.
    [69] J.-H. Li, C. Ma, H.-J. Zhang, and K. Liu. Engineering mechanical strong biomaterials inspired by structural building blocks in nature. Chemical Research in Chinese Universities, 39:92–106, 2023.
    [70] N. Stephanopoulos, J. H. Ortony, and S. I. Stupp. Self-assembly for the synthesis of functional biomaterials. Acta Materialia, 61(3):912–930, 2013.
    [71] M. A. Meyers, P.-Y. Chen, Y.-M. Lin, and Y. Seki. Biological materials: Structure and mechanical properties. Progress in Materials Science, 53(1):1–206, 2008.
    [72] J. Vincent. Structural Biomaterials. Princeton University Press, 1991.
    [73] B. L. Bangasser, S. Rosenfeld, and D. J. Odde. Determinants of maximal force transmission in a motor clutch model of cell tactic in a component microenvironment. Biophysical Journal, 105(3):581–592, 2013.
    [74] F. Amirouche and J. Koh. Biomechanics of the knee. In J. Koh, S. Zaffagnini, R. Kuroda, U. G. Longo, and F. Amirouche, editors, Orthopaedic Biomechanics in Sports Medicine, pages 271–286. Springer International Publishing, Switzerland, 2021.
    [75] S. Peshin, Y. Karakulova, and A. G. Kuchumov. Finite element modeling of the fingers and wrist flexion/extension effect on median nerve compression. Applied Science, 13(2):1219, 2023.
    [76] S. Suárez, J. A. López-Campos, J. R. Fernández, and A. Segade. Nonlocal damage evaluation of a sigmoid-based damage model for fibrous biological soft tissues. Ophthalmic and Physiological Optics, 37(3):240–252, 2017.
    [77] G. A. Holzapfel, T. C. Gasser, and M. Stadler. A structural model for the viscoelastic behavior of arterial walls: Continuum formulation and finite element analysis. European Journal of Mechanics A/Solids, 21(3):441–463, 2002.
    [78] S. Kling and F. Hafezi. Corneal biomechanics- a review. Ophthalmic and Physiological Optics, 37(3):240–252, 2017.
    [79] C. Wan, Z.-X. Hao, L.-Y. Tong, and S.-Z. Wen. An update on the constitutive relation of ligament tissues with the effects of collagen types. Journal of the Mechanical Behavior of Biomedical Materials, 50:255–267, 2015.
    [80] H.-X. Huang, W.-C. Tang, Q.-Y. Tan, and B. Yan. Development and parameter identification of a visco-hyperelastic model for the periodontal ligament. Journal of the Mechanical Behavior of Biomedical Materials, 68:210–215, 2017.
    [81] W.-H. Hui, P.-H. Chiu, I.-I. Ng, S.-W. Chang, C.-C. Chou, and H.-H. Chen. Unraveling the molecular mechanism of collagen flexibility during physiological warmup using molecular dynamics simulation and machine learning. Computational and Structural Biotechnology Journal, 21:1630–1638, 2023.
    [82] K. Burrow, W. Young, A. Carne, M. McConnell, N. Hammer, M. Scholze, and A. E. Bekhit. Consumption of sheep milk compared to cow milk can affect trabecular bone ultrastructure in a rat model. Food & Function, 10(1):163–171, 2019.
    [83] S. Haidar, I. Y. Abdurakhmonov, and A. Barkaoui. Biomechanics and Functional Tissue Engineering. IntechOpen, 2021.
    [84] A. Synek, M. Settles, and G. Stillfried. Multi-body simulation of a human thumb joint by sliding surfaces. In Proceedings of the Fourth IEEE RAS/EMBS International Conference on Biomedical Robotics and Biomechatronics (BioRob), pages 1194–1199, 2012.
    [85] J. J. Crisco, T. Patel, E. Halilaj, and D. C. Moore. The envelope of physiological motion of the first carpometacarpal joint. Journal of Biomechanical Engineering, 137(10):101002, 2015.
    [86] R. B. Ashman, S. C. Cowin, W. C. Van Buskirk, and J. C. Rice. A continuous wave technique for the measurement of the elastic properties of cortical bone. Journal of Biomechanics, 17(5):349–361, 1984.
    [87] D. T. Reilly and A. H. Burstein. The elastic and ultimate properties of compact bone tissue. Journal of Biomechanics, 8(6):393–405, 1984.
    [88] M. Dong, J. Pelaez, M. Tejada, S. Calderon, and S. Ortega. Biomechanical study of proximal femur for designing stems for total hip replacement. Applied Sciences, 10(12):1–17, 2020.
    [89] M. K. Gislason, D. H. Nash, A. Nicol, A. Kanellopoulos, M. Bransby-Zachary, T. Hems, B. Condon, and B. Stansfield. A three-dimensional finite element model of maximal grip loading in the human wrist. Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 223(7):849–861, 2009.
    [90] D. Chamoret, S. Roth, Z.-Q. Feng, X.-T. Yan, S. Gomes, and F. Peyraut. A novel approach to modelling and simulating the contact behaviour between a human hand model and a deformable object. Computer Methods in Biomechanics and Biomedical Engineering, 16(2):130–140, 2013.
    [91] D. Chamoret, M. Bodo, and S. Roth. A first step in finite-element simulation of a grasping task. Computer Assisted Surgery, 21:22–29, 2016.
    [92] M. H. Ramlee, G. K. Beng, N. Bajuri, and M. R. Abdul Kadir. Finite element analysis of the wrist in stroke patients: the effects of hand grip. Medical & Biological Engineering & Computing, 56(7):1161–1171, 2018.
    [93] H. Oflaz and I. Gunal. Maximum loading of carpal bones during movements: a finite element study. European Journal of Orthopaedic Surgery & Traumatology, 29(1):47–50, 2019.
    [94] Y. Wei, Z. Zou, G. Wei, L. Ren, and Z. Qian. Subject-specific finite element modelling of the human hand complex: Muscle-driven simulations and experimental validation. Annals of Biomedical Engineering, 48(4):1181–1195, 2020.
    [95] M. K. Gislason, B. Stansfield, and D. H. Nash. Finite element model creation and stability considerations of complex biological articulation: The human wrist joint. Medical Engineering & Physics, 32(5):523–531, 2010.
    [96] M. N. Bajuri, M. R. Abdul Kadir, M. M. Raman, and T. Kamarul. Mechanical and functional assessment of the wrist affected by rheumatoid arthritis: A finite element analysis. Medical Engineering & Physics, 34(9):1294–1302, 2012.
    [97] M. N. Bajuri, M. R. Abdul Kadir, M. R. Murali, and T. Kamarul. Biomechanical analysis of the wrist arthroplasty in rheumatoid arthritis: a finite element analysis. Medical & Biological Engineering & Computing, 51(1-2):175–186, 2013.
    [98] M. K. Gislason, B. Stansfield, M. Bransby-Zachary, T. Hems, and D. H. Nash. Load transfer through the radiocarpal joint and the effects of partial wrist arthrodesis on carpal bone behaviour: a finite element study. Journal of Hand Surgery (European Volume), 37(9):871–878, 2012.
    [99] P. Varga, P. Schefzig, E. Unger, W. Mayr, P. K. Zysset, and J. Erhart. Finite element based estimation of contact areas and pressures of the human scaphoid in various functional positions of the hand. Journal of Biomechanics, 46(5):984–990, 2013.
    [100] T. Alonso Rasgado, Q. Zhang, D. Jimenez Cruz, C. Bailey, E. Pinder, A. Mandaleson, and S. Talwalkar. Analysis of tenodesis techniques for treatment of scapholunate instability using the finite element method. International Journal for Numerical Methods in Biomedical Engineering, 33(12), 2017.
    [101] J. Y. Rho, T. Y. Tsui, and G. M. Pharr. Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation. Biomaterials, 18(20):1325–1330, 1997.
    [102] C. P. Brown, T. C. Nguyen, H. R. Moody, R. W. Crawford, and A. Oloyede. Assessment of common hyperelastic constitutive equations for describing normal and osteoarthritic articular cartilage. Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine, 223(6):643–652, 2009.
    [103] E. F. Morgan, H. H. Bayraktar, and T. M. Keaveny. Trabecular bone modulus-density relationships depend on anatomic site. Journal of Biomechanics, 36(7):897–904, 2003.
    [104] X. Guo, Y. Fan, and Z.-M. Li. Effects of dividing the transverse carpal ligament on the mechanical behavior of the carpal bones under axial compressive load: A finite element study. Medical Engineering & Physics, 31(2):188–194, 2009.
    [105] W. Pistoia, B. van Rietbergen, E.-M. Lochmüller, C. A. Lill, F. Eckstein, and P. Rüegsegger. Estimation of distal radius failure load with micro-finite element analysis models based on three-dimensional peripheral quantitative computed tomography images. Bone, 30(6):842–848, 2002.
    [106] T. Ketsiri, S. Uppuganti, K. D. Harkins, D. F. Gochberg, J. S. Nyman, and M. D. Does. Finite element analysis of bone mechanical properties using mri-derived bound and pore water concentration mapss. Computer Methods in Biomechanics an Biomedical Engineering, 26(8):905–916, 2023.
    [107] M. R. Mohamad and N. Furqoni. Finite element study on mechanical properties of the normal and transverse fracture bones–a computational simulation. Journal of Medical Device Technology, 3(1), 2024.
    [108] F. G. Evans. Mechanical properties and histology of cortical bone from younger and older men. Anatomical Record, 185(1):1–11, 1976.
    [109] H. H. Bayraktar, E. F. Morgan, G. L. Niebur, G. E. Morris, E. K. Wong, and T. M. Keaveny. Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue. Journal of Biomechanics, 37(1):27–35, 2004.
    [110] V. Ebacher and R. Wang. A unique microcracking process associated with the inelastic deformation of haversian bone. Advanced Functional Materials, 19(1):57–66, 2009.
    [111] M. J. Mirzaali, J. J. Schwiedrzik, S. Thaiwichai, J. P. Best, J. Michler, P. K. Zysset, and U. Wolfram. Mechanical properties of cortical bone and their relationships with age, gender, composition and microindentation properties in the elderly. Bone, 93:196–211, 2016.
    [112] K. J. Jepsen and D. T. Davy. Comparison of damage accumulation measures in human cortical bone. Journal of Biomechanics, 30(9):891–894, 1997.
    [113] H. Cezayirlioglu, E. Bahniuk, D. T. Davy, and K. G. Heiple. Anisotropic yield behavior of bone under combined axial force and torque. Journal of Biomechanics, 18(1):61–69, 1985.
    [114] X. N. Dong, R. L. Acuna, Q. Luo, and X. Wang. Orientation dependence of progressive post-yield behavior of human cortical bone in compression. Journal of Biomechanics, 45(16):2829–2834, 2012.
    [115] A. C. Courtney, W. C. Hayes, and L. J. Gibson. Age-related differences in post-yield damage in human cortical bone. experiment and model. Journal of Biomechanics, 29(11):1463–1471, 1996.
    [116] J. D. Currey. Tensile yield in compact bone is determined by strain, post-yield behaviour by mineral content. Journal of Biomechanics, 37(4):549–556, 2004.
    [117] X. N. Dong, Q. Luo, and X. Wang. Progressive post-yield behavior of human cortical bone in shear. Bone, 53(1):1–5, 2013.
    [118] L. Duchemin, V. Bousson, C. Raossanaly, C. Bergot, J. D. Laredo, W. Skalli, and D. Mitton. Prediction of mechanical properties of cortical bone by quantitative computed tomography. Medical Engineering & Physics, 30(3):321–328, 2008.
    [119] S. C. Lee, B. S. Coan, and M. L. Bouxsein. Tibial ultrasound velocity measured in situ predicts the material properties of tibial cortical bone. Bone, 21(1):119–125, 1997.
    [120] D. R. Carter, W. E. Caler, D. M. Spengler, and V. H. Frankel. Fatigue behavior of adult cortical bone: the influence of mean strain and strain range. Acta Orthopaedica Scandinavica, 52(5):481–490, 1981.
    [121] H. Leng, X. N. Dong, and X. Wang. Progressive post-yield behavior of human cortical bone in compression for middle-aged and elderly groups. Journal of Biomechanics, 42(4):491–497, 2009.
    [122] J. S. Nyman, A. Roy, M. J. Reyes, and X. Wang. Mechanical behavior of human cortical bone in cycles of advancing tensile strain for two age groups. Journal of Biomedical Materials Research Part A, 89(2):521–529, 2009.
    [123] E. F. Morgan, G. U. Unnikrisnan, and A. I. Hussein. Bone mechanical properties in healthy and diseased states. Annual Review of Biomedical Engineering, 20:119–143, 2018.
    [124] E. F. Morgan and T. M. Keaveny. Dependence of yield strain of human trabecular bone on anatomic site. Journal of Biomechanics, 34(5):569–577, 2001.
    [125] S. Nagaraja, T. L. Couse, and R. E. Guldberg. Trabecular bone microdamage and microstructural stresses under uniaxial compression. Journal of Biomechanics, 38(4):707–716, 2005.
    [126] E. F. Morgan, O. C. Yeh, and T. M. Keaveny. Damage in trabecular bone at small strains. European Journal of Morphology, 42(1-2):13–21, 2005.
    [127] A. Odgaard, I. Hvid, and F. Linde. Compressive axial strain distributions in cancellous bone specimens. Journal of Biomechanics, 22(8-9):829–835, 1989.
    [128] T. M. Keaveny, E. F. Wachtel, C. M. Ford, and W. C. Hayes. Differences between the tensile and compressive strengths of bovine tibial trabecular bone depend on modulus. Journal of Biomechanics, 27(9):1137–1146, 1994.
    [129] T. M. Keaveny, X. E. Guo, E. F. Wachtel, T. A. McMahon, and W. C. Hayes. Trabecular bone exhibits fully linear elastic behavior and yields at low strains. Journal of Biomechanics, 27(9):1127–1136, 1994.
    [130] N. Kelly and J. P. McGarry. Experimental and numerical characterisation of the elasto-plastic properties of bovine trabecular bone and a trabecular bone analogue. Journal of the Mechanical Behavior of Biomedical Materials, 9:184–197, 2012.
    [131] M. Pawlikowski, K. Skalski, J. Bańczerowski, A. Makuch, and K. Jankowski. Stress–strain characteristic of human trabecular bone based on depth sensing indentation measurements. Biocybernetics and Biomedical Engineering, 37(2):272–280, 2017.
    [132] P. S. Patel, D. E. T. Shepherd, and D. W. L. Hukins. Compressive properties of commercially available polyurethane foams as mechanical models for osteoporotic human cancellous bone. BMC Musculoskeletal Disorders, 9:137, 2008.
    [133] N. Soltanihafshejani, T. Bitter, D. Janssen, and N. Verdonschot. Development of a crushable foam model for human trabecular bone. Medical Engineering & Physics, 96:53–63, 2021.
    [134] R. Hambli, A. Bettamer, and S. Allaoui. Finite element prediction of proximal femur fracture pattern based on orthotropic behaviour law coupled to quasi-brittle damage. Medical Engineering & Physics, 34(2):202–210, 2012.
    [135] D. Wang, A. Roy, and V. V. Silberschmidt. Hybrid cutting of bio-tissues. Procedia CIRP, 46:567–570, 2016.
    [136] F. Hamandi, J. T. Tsatalis, and T. Goswami. Retrospective evaluation and framework development of bone anisotropic material behavior compared with elastic, elastic-plastic, and hyper-elastic properties. Bioengineering (Basel), 9(1):9, 2021.
    [137] S. E. Alkhatib, H. Mehboob, and F. Tarlochan. Finite element analysis of porous titanium alloy hip stem to evaluate the biomechanical performance during walking and stair climbing. Journal of Bionic Engineering, 16:1103–1115, 2019.
    [138] A. Nazarian, D. Meier, R. Müller, and B. D. Snyder. Functional dependence of cancellous bone shear properties on trabecular microstructure evaluated using time-lapsed micro-computed tomographic imaging and torsion testing. Journal of Orthopaedic Research, 27(12):1667–1674, 2009.
    [139] M. Hassan and A. S. Abdel-Rahman. Modeling and biomechanical characterization of femur and tibia bones using the extended mooney-rivlin approach with mathematical validation. Journal of Orthopaedics, 66:263–270, 2025.
    [140] M. Hosseinzadeh, M. Ghoreishi, and K. Narooei. Investigation of hyperelastic models for nonlinear elastic behavior of demineralized and deproteinized bovine cortical femur bone. Journal of the Mechanical Behavior of Biomedical Materials, 59:393–403, 2016.
    [141] M. Pawlikowski. Non-linear approach in visco-hyperelastic constitutive modelling of polyurethane nanocomposite. Mechanics of Time-Dependent Materials, 18:1–20, 2014.
    [142] D. L. Robinson, M. E. Kersh, N. C. Walsh, D. C. Ackland, R. N. de Steiger, and M. G. Pandy. Mechanical properties of normal and osteoarthritic human articular cartilage. Journal of the Mechanical Behavior of Biomedical Materials, 61:96–109, 2016.
    [143] T. P. M. Johnson, S. Socrate, and M. C. Boyce. A viscoelastic, viscoplastic model of cortical bone valid at low and high strain rates. Acta Biomaterialia, 6(10):4073–4080, 2010.
    [144] T. N. Shepherd, J. Zhang, T. C. Ovaert, R. K. Roeder, and G. L. Niebur. Direct comparison of nanoindentation and macroscopic measurements of bone viscoelasticity. Journal of the Mechanical Behavior of Biomedical Materials, 4(8):2055–2062, 2011.
    [145] Y. Blake. Review of viscoelastic models applied to cortical bone. Trinity College Dublin, Dublin, Ireland, 2021.
    [146] R. C. Tennyson, R. Ewert, and V. Niranjan. Dynamic viscoelastic response of bone. Experimental Mechanics, 12(11):502–507, 1972.
    [147] K. Manda, S. Xie, and R. J. Wallace. Linear viscoelasticity- bone volume fraction relationships of bovine trabecular bone. Biomechanics and Modeling in Mechanobiology, 15(6):1631–1640, 2016.
    [148] J. G. Liu and M. Y. Xu. Study on the viscoelasticity of cancellous bone based on higher-order fractional models. In 2008 2nd International Conference on Bioinformatics and Biomedical Engineering (ICBBE 2008), 2008.
    [149] C. Sandino, D. D. McErlain, J. Schipilow, and S. K. Boyd. The poro-viscoelastic properties of trabecular bone: a micro computed tomography-based finite element study. Journal of the Mechanical Behavior of Biomedical Materials, 44:1–9, 2015.
    [150] S. Katsourinis and E. Kontou. Fractional viscoelastic models for interconverting linear viscoelastic functions of various polymeric structures. Rheologica Acta, 58:307–320, 2019.
    [151] V. C. Hascall, D. M. Sipe, J. J. Godleski, T. N. Wight, and D. L. Bolender. The potential of adult human perichondrium to form hyalin cartilage in vitro. Journal of Orthopaedic Research, 8(3):328–335, 1990.
    [152] A. J. S. Fox, A. Bedi, and S. A. Rodeo. The basic science of articular cartilage: Structure, composition, and function. Sports Health, 1(6):461–468, 2009.
    [153] J. Antons, M. G. M. Marascio, J. Nohava, R. Martin, L. A. Applegate, P. E. Bourban, and D. P. Pioletti. Zone-dependent mechanical properties of human articular cartilage obtained by indentation measurements. Journal of Materials Science: Materials in Medicine, 29:57, 2018.
    [154] J. Y. Rho, R. B. Ashman, and C. H. Turner. Young’s modulus of trabecular and cortical bone material: Ultrasonic and microtensile measurements. Journal of Biomechanics, 26(2):111–119, 1993.
    [155] P. P. Provenzano and R. Vanderby. Collagen fibril morphology and organization: Implications for force transmission in ligament and tendon. Matrix Biology, 25(2):71–84, 2006.
    [156] S. L. Hsu, R. Liang, and S. L. Y. Woo. Functional tissue engineering of ligament healing. Sports Medicine, Arthroscopy, Rehabilitation, Therapy & Technology, 2:12, 2010.
    [157] A. C. Vieira, R. M. Guedes, and A. T. Marques. Development of ligament tissue biodegradable devices: A review. Journal of Biomechanics, 42(15):2421–2430, 2009.
    [158] A. Kiapour, A. M. Kiapour, V. Kaul, C. E. Quatman, S. C. Wordeman, T. E. Hewett, C. K. Demetropoulos, and V. K. Goel. Finite element model of the knee for investigation of injury mechanisms: development and validation. Journal of Biomechanical Engineering, 136(1):011002, 2014.
    [159] A. C. Abraham, J. T. Moyer, D. F. Villegas, G. M. Odegard, and T. L. Haut Donahue. Hyperelastic properties of human meniscal attachments. Journal of Biomechanics, 44(3):413–418, 2011.
    [160] M. Kadhum, M.-H. Lee, J. Czernuszka, and C. Lavy. An analysis of the mechanical properties of the ponseti method in clubfoot treatment. Applied Bionics and Biomechanics, 2019(1):4308462, 2019.
    [161] A. M. Morton, L. J. Peipert, D. C. Moore, A. L. Ladd, A.-P. C. Weiss, J. Molino, and J. J. Crisco. Bone morphological changes of the trapezium and first metacarpal with early thumb osteoarthritis progression. Clinical Biomechanics, 100:105791, 2022.
    [162] T. Valerio, L. Vigouroux, B. Goislard de Monsabert, J. B. De Villeneuve Bargemon, and J. L. Milan. Relationship between trapeziometacarpal joint morphological parameters and joint contact pressure: a possible factor of osteoarthritis development. Journal of Biomechanics, 152:111573, 2023.
    [163] P. Massey, D. Parker, K. McClary, J. Robinson, R. S. Barton, and G. F. Solitro. Biomechanical comparison of anterior cruciate ligament repair with internal brace augmentation versus anterior cruciate ligament repair without augmentation. Clinical Biomechanics (Bristol), 77:105065, 2020.
    [164] A. E. Peters, B. Geraghty, K. T. Bates, R. Akhtar, R. Readioff, and E. Comerford. Ligament mechanics of ageing and osteoarthritic human knees. Frontiers in Bioengineering and Biotechnology, 10:954837, 2022.
    [165] F. Völlner, T. Weber, M. Weber, T. Renkawitz, S. Dendorfer, J. Grifka, and B. Craiovan. A simple method for determining ligament stiffness during total knee arthroplasty in vivo. Scientific Reports, 9(1):5261, 2019.
    [166] T. L. H. Donahue, M. L. Hull, M. M. Rashid, and C. R. Jacobs. A finite element model of the human knee joint for the study of tibio-femoral contact. Journal of Biomechanical Engineering, 124(3):273–280, 2002.
    [167] J. C. Kennedy, R. J. Hawkins, R. B. Willis, and K. D. Danylchuck. Tension studies of human knee ligaments. yield point, ultimate failure, and disruption of the cruciate and tibial collateral ligaments. Journal of Bone and Joint Surgery. American Volume, 58(3):350–355, 1976.
    [168] P. S. Trent, P. S. Walker, and B. Wolf. Ligament length patterns, strength, and rotational axes of the knee joint. Clinical Orthopaedics and Related Research,(117):263–270, 1976.
    [169] F. R. Noyes and E. S. Grood. The strength of the anterior cruciate ligament in humans and rhesus monkeys. Journal of Bone and Joint Surgery. American Volume, 58(8):1074–1082, 1976.
    [170] S. L. Woo, J. M. Hollis, D. J. Adams, R. M. Lyon, and S. Takai. Tensile properties of the human femur-anterior cruciate ligament-tibia complex: The effects of specimen age and orientation. American Journal of Sports Medicine, 19(3):217–225, 1991.
    [171] N. Chandrashekar, H. Mansouri, J. Slauterbeck, and J. Hashemi. Sex-based differences in the tensile properties of the human anterior cruciate ligament. Journal of Biomechanics, 39(16):2943–2950, 2006.
    [172] F. Schuind, W. P. Cooney, R. L. Linscheid, K. N. An, and E. Y. Chao. Force and pressure transmission through the normal wrist. a theoretical two-dimensional study in the posteroanterior plane. Journal of Biomechanics, 28:587–601, 1995.
    [173] W. C. Hayes and L. F. Mockros. Viscoelastic properties of human articular cartilage. Journal of Applied Physiology, 31(4):562–568, 1971.
    [174] G. E. Kempson. The mechanical properties of articular cartilage. In The Joints and Synovial Fluid, Volume II, pages 177–238. Academic Press, 1980.
    [175] L. Sokoloff. Elasticity of aging cartilage. Federation Proceedings, 25(3):1089–1095, 1966.
    [176] R. Y. Hori and L. F. Mockros. Indentation tests of human articular cartilage. Journal of Biomechanics, 9(4):259–268, 1976.
    [177] C. G. Armstrong and V. C. Mow. Variations in the intrinsic mechanical properties of human articular cartilage with age, degeneration, and water content. Journal of Bone and Joint Surgery. American Volume, 64(1):88–94, 1982.
    [178] K. A. Athanasiou, M. P. Rosenwasser, J. A. Buckwalter, T. I. Malinin, and V. C. Mow. Interspecies comparisons of in situ intrinsic mechanical properties of distal femoral cartilage. Journal of Orthopaedic Research, 9(3):330–340, 1991.
    [179] P. A. Rivers, M. P. Rosenwasser, V. C. Mow, R. J. Pawluk, R. J. Strauch, M. T. Sugalski, and G. A. Ateshian. Osteoarthritic changes in the biochemical composition of thumb carpometacarpal joint cartilage and correlation with biomechanical properties. Journal of Hand Surgery (American Volume), 25(5):889–898, 2000.
    [180] D. L. Butler, E. S. Grood, F. R. Noyes, R. F. Zernicke, and K. Brackett. Effects of structure and strain measurement technique on the material properties of young human tendons and fascia. Journal of Biomechanics, 17(8):579–596, 1984.
    [181] A. Race and A. A. Amis. The mechanical properties of the two bundles of the human posterior cruciate ligament. Journal of Biomechanics, 27(1):13–24, 1994.
    [182] J. E. Bechtold, D. T. Eastlund, M. K. Butts, D. F. Lagerborg, and R. F. Kyle. The effects of freeze-drying and ethylene oxide sterilization on the mechanical properties of human patellar tendon. American Journal of Sports Medicine, 22(4):562–566, 1994.
    [183] H. H. Savelberg, J. G. Kooloos, R. Huiskes, and J. M. Kauer. Stiffness of the ligaments of the human wrist joint. Journal of Biomechanics, 25(4):369–376, 1992.
    [184] F. Schuind, K. N. An, L. Berglund, R. Rey, W. P. Cooney, R. L. Linscheid, and E. Y. Chao. The distal radioulnar ligaments: a biomechanical study. Journal of Hand Surgery (American Volume), 16(6):1106–1114, 1991.
    [185] X. Liao, S. Kemp, G. Corner, R. Eisma, and Z. Huang. Elastic properties of thiel-embalmed human ankle tendon and ligament. Clinical Anatomy, 28(7):917–924, 2015.
    [186] S. Siegler, J. Block, and C. D. Schneck. The mechanical characteristics of the collateral ligaments of the human ankle joint. Foot & Ankle, 8(5):234–242, 1988.
    [187] A. P. Kaukinen, M. S. Laasanen, E. Lammentausta, E. Halmesmäki, H. J. Helminen, J. S. Jurvelin, and J. Rieppo. Destructive testing of articular cartilage in compression: Effect of collagen network. In Proceedings of the 51st Annual Meeting of the Orthopaedic Research Society, page Poster No. 1691, 2005.
    [188] E. K. Danso, J. T. J. Honkanen, S. Saarakkala, and R. K. Korhonen. Comparison of nonlinear mechanical properties of bovine articular cartilage and meniscus. Journal of Biomechanics, 47(1):200–206, 2014.
    [189] M. Adouni, T. R. Faisal, M. Gaith, and Y. Y. Dhaher. A multiscale synthesis: characterizing acute cartilage failure under an aggregate tibiofemoral joint loading. Biomechanics and Modeling in Mechanobiology, 18(6):1563–1575, 2019.
    [190] K. Sun, R. Li, H. Li, M. Fan, and H. Li. Analysis and demonstration of a scaffold finite element model for cartilage tissue engineering. ACS Omega, 5(50):32411–32419, 2020.
    [191] D. M. Pierce. Multi-phase, large-strain constitutive models of cartilage for finiteelement analyses in 3-d. Archive of Applied Mechanics, 92:513–528, 2022.
    [192] N. Hosoda, N. Sakai, Y. Sawae, and T. Murakami. Finite element analysis of articular cartilage model considering the configuration and biphasic property of the tissue. In Proceedings of the 13th International Conference on Biomedical Engineering, volume 23 of IFMBE Proceedings, pages 1032–1035, 2009.
    [193] T. J. Bonner, N. Newell, A. Karunaratne, A. D. Pullen, A. A. Amis, A. M. J. Bull, and S. D. Masouros. Strain-rate sensitivity of the lateral collateral ligament of the knee. Journal of the Mechanical Behavior of Biomedical Materials, 41:261–270, 2015.
    [194] A. Gouissem, F. Alkhatib, and M. Adouni. Investigating the influence of mineral content changes on mechanical properties through ligament insertion. Frontiers in Aging, 6:1556577, 2025.
    [195] C. R. Henak, A. L. Kapron, A. E. Anderson, B. J. Ellis, S. A. Maas, and J. A. Weiss. Specimen-specific predictions of contact stress under physiological loading in the human hip: validation and sensitivity studies. Biomechanics and Modeling in Mechanobiology, 13(2):387–400, 2013.
    [196] Z. Li, J.-E. Kim, J. S. Davidson, B. S. Etheridge, J. E. Alonso, and A. W. Eberhardt. Biomechanical response of the pubic symphysis in lateral pelvic impacts: a finite element study. Journal of Biomechanics, 40(12):2758–2766, 2007.
    [197] A. Weizel, T. Distler, R. Detsch, A. R. Boccaccini, L. Bräuer, F. Paulsen, H. Seitz, and S. Budday. Hyperelastic parameter identification of human articular cartilage and substitute materials. Journal of the Mechanical Behavior of Biomedical Materials, 133:105292, 2022.
    [198] T. Reuter and I. Ponomarev. Biomechanical parameter determination of scaffold-free cartilage constructs (sfccs) with the hyperelastic material models yeoh, ogden and demiray. Current Directions in Biomedical Engineering, 1(1):442–445, 2015.
    [199] Ł. A. Mazurkiewicz, A. Ciszkiewicz, and J. Małachowski. The impact of the yeoh model’s variability in contact on knee joint mechanics. Materials, 18(3):576, 2025.
    [200] H. E. Jaramillo. Evaluation of the use of the yeoh and mooney-rivlin functions as strain energy density functions for the ground substance material of the annulus fibrosus. Mathematical Problems in Engineering, 2018:1570142, 2018.
    [201] S. Sadeqi, R. Summers, D. U. Erbulut, and V. K. Goel. Optimization of material coefficients in the holzapfel-gasser-ogden material model for the main four ligaments of the knee joint-a finite element study. Applied Mathematics, 12(12), 2021.
    [202] S. Chakraborty, D. Mondal, and M. Motalab. Constitutive modeling of the human anterior cruciate ligament (acl) under uniaxial loading using viscoelastic prony series and hyperelastic five parameter mooney-rivlin model. In Proceedings of the 11th International Conference on Mechanical Engineering (ICME 2015), 2016.
    [203] E. K. Main, J. E. Goetz, T. E. Baer, N. F. Klocke, and T. D. Brown. Volar/dorsal compressive mechanical behavior of the transverse carpal ligament. Journal of Biomechanics, 45(7):1180–1185, 2012.
    [204] B. Zhou and X. Zhang. Comparison of five viscoelastic models for estimating viscoelastic parameters using ultrasound shear wave elastography. Journal of the Mechanical Behavior of Biomedical Materials, 85:109–116, 2018.
    [205] K. E. Keenan, S. Pal, D. P. Lindsey, T. F. Besier, and G. S. Beaupre. A viscoelastic constitutive model can accurately represent entire creep indentation tests of human patella cartilage. Journal of Applied Biomechanics, 29(3):292–302, 2013.
    [206] J. Maritz, G. Agustoni, K. Dragnevski, and S. P. A. Bordas. The functionally grading elastic and viscoelastic properties of the body region of the knee meniscus. Annals of Biomedical Engineering, 49(9):2421–2429, 2021.
    [207] S. S. Hashemi, A. Callejas, A. Fernández Siles, A. Ruiz Molina, L. Martin-Rodriguez, and G. Rus. Feasibility of ultrasound elastography for meniscus viscoelastic assessment: Ex-vivo porcine validation and pilot human study. Materials & Design, 256:114197, 2025.
    [208] S. Nakamura, M. Ikebuchi, S. Saeki, D. Furukawa, K. Orita, N. Niimi, Y. Tsukahara, and H. Nakamura. Changes in viscoelastic properties of articular cartilage in early stage of osteoarthritis, as determined by optical coherence tomography-based strain rate tomography. BMC Musculoskeletal Disorders, 20(1):417, 2019.
    [209] F. Richard, M. Villars, and S. Thibaud. Viscoelastic modeling and quantitative experimental characterization of normal and osteoarthritic human articular cartilage using indentation. Journal of the Mechanical Behavior of Biomedical Materials, 24:41–52, 2013.
    [210] D. K. Temple, A. A. Cederlund, B. M. Lawless, R. M. Aspden, and D. M. Espino. Viscoelastic properties of human and bovine articular cartilage: a comparison of frequency-dependent trends. BMC Musculoskeletal Disorders, 17:419, 2016.
    [211] B. M. Lawless, H. Sadeghi, D. K. Temple, H. Dhaliwal, D. M. Espino, and D. W. L. Hukins. Viscoelasticity of articular cartilage: Analysing the effect of induced stress and the restraint of bone in a dynamic environment. Journal of the Mechanical Behavior of Biomedical Materials, 75:293–301, 2017.
    [212] I. Z. Oskui and A. Hashemi. Dynamic tensile properties of bovine periodontal ligament: A nonlinear viscoelastic model. Journal of Biomechanics, 49(5):756–764, 2016.
    [213] M. Najafidoust, A. Hashemi, and I. Z. Oskui. Dynamic viscoelastic behavior of bovine periodontal ligament in compression. Journal of Periodontal Research, 55(5):651–659, 2020.
    [214] S. M. Bosiakov, A. A. Koroleva, S. V. Rogosin, and V. V. Silberschmidt. Viscoelasticity of periodontal ligament: an analytical model. Mechanics of Advanced Materials and Modern Processes, 1:7, 2015.
    [215] R. S. Lakes and R. Vanderby. Interrelation of creep and relaxation: a modeling approach for ligaments. Journal of Biomechanical Engineering, 121(6):612–615, 1999.
    [216] D. P. Pioletti. Non-linear viscoelastic laws for soft biological tissues. European Journal of Mechanics- A/Solids, 19(5):749–759, 2000.
    [217] P. Provenzano, R. Lakes, T. Keenan, and R. Vanderby. Nonlinear ligament viscoelasticity. Annals of Biomedical Engineering, 29(10):908–914, 2001.
    [218] X. Guo, Y. Fan, and Z. M. Li. Three dimensional finite element analysis on the morphological change of the transverse carpal ligament. In Proceedings of the 2007 IEEE/ICME International Conference on Complex Medical Engineering (CME), 2007.
    [219] D. E. Mouzakis, G. Rachiotis, S. Zaoutsos, A. Eleftheriou, and K. N. Malizos. Finite element simulation of the mechanical impact of computer work on the carpal tunnel syndrome. Journal of Biomechanics, 47:2989–2994, 2014.
    [220] N. Perevoshchikova, K. M. Moerman, B. Akhbari, R. Bindra, J. N. Maharaj, D. G. Lloyd, M. G. Cerezo, A. Carr, C. Vaquette, and D. J. Saxby. Finite element analysis of the performance of additively manufactured scaffolds for scapholunate ligament reconstruction. PLoS ONE, 16:e0256528, 2021.
    [221] M. T. Y. Schneider, J. Zhang, J. J. Crisco, A.-P. C. Weiss, A. L. Ladd, K. Mithraratne, P. Nielsen, and T. Besier. Trapeziometacarpal joint contact varies between men and women during three isometric functional tasks. Medical Engineering & Physics, 50:43–49, 2017.
    [222] A. Kotelsky, J. S. Carrier, and M. R. Buckley. Quantification of cartilage poroelastic material properties via analysis of loading-induced cell death. Journal of Biomechanical Engineering, 146(8):081006, 2024.
    [223] S. Knecht, R. Luechinger, P. Boesiger, and E. Stüssi. Mri-based inverse finite element approach for the mechanical assessment of patellar articular cartilage from static compression test. Biomedical Technology, 53(6):285–291, 2008.
    [224] M. Kauer, V. Vuskovic, J. Dual, G. Szekely, and M. Bajka. Inverse finite element characterization of soft tissues. Medical Image Analysis, 6(3):275–287, 2002.
    [225] Y.-J. Lai. A framework for developing customized biomechanical models of trapeziometacarpal joints via dynamical computerized tomographic imaging. Master’s thesis, National Cheng Kung University, Tainan, 2025.
    [226] L.-C. Kuo, W. P. Cooney III, K. R. Kaufman, Q.-S. Chen, F.-C. Su, and K.-N. An. A quantitative method to measure maximal workspace of the trapeziometacarpal joint–normal model development. Journal of Orthopaedic Research, 22(3):600–606, 2004.
    [227] Rafael C. Gonzalez and Richard E. Woods. Digital Image Processing. Pearson, 4th edition, 2018.
    [228] L. Cheze, R. Dumas, J. J. Comtet, C. Rumelhart, and M. Fayet. A joint coordinate system proposal for the study of the trapeziometacarpal joint kinematics. Computer Methods in Biomechanics and Biomedical Engineering, 12(3):277–282, 2009.
    [229] M. T. Kuczynski, K. Wang, J. J. Tse, T. Bugajski, and S. L. Manske. Reproducibility and repeatability of a semi-automated pipeline to quantify trapeziometacarpal joint angles using dynamic computed tomography. BMC Medical Imaging, 22(192), 2022.
    [230] Y. Chen and G. Medioni. Object modeling by registration of multiple range images. In Proceedings of the 1991 IEEE International Conference on Robotics and Automation, 1991.
    [231] P. J. Besl and McKay N. D. A method for registration of 3-d shapes. IEEE Transactions on Pattern Analysis and Machine Intelligence, 14(2):239–256, 1922.
    [232] C. Schütz and H. Hügli. Free-form 3d object recognition. In Proceedings of the Third Conference on Optical 3-D Measurement Techniques, 1995.
    [233] J. Kennedy and R. Eberhart. Particle swarm optimization. In Proceedings of ICNN’95- International Conference on Neural Networks, volume 4, pages 1942–1948, 1995.
    [234] J. Yao, X. Luo, F. Li, et al. Research on hybrid strategy particle swarm optimization algorithm and its applications. Scientific Reports, 14:24928, 2024.
    [235] Y. Al-Smadi, M. Eshtay, A. Al-Qerem, S. Nashwan, O. Ouda, and A. E.-A. Ahmed. Reliable prediction of software defects using shapley interpretable machine learning models. Egyptian Informatics Journal, 24(3):100386, 2023.
    [236] D. M. Henderson. Euler angles, quaternions, and transformation matrices working relationships. Technical Memorandum NASA-TM-74839, NASA Johnson Space Center, Houston, TX, 1977. JSC-12960, REPT-77-FM-37.
    [237] R. Preece and J. V. Milanović. Efficient estimation of the probability of small-disturbance instability of large uncertain power systems. IEEE Transactions on Power Systems, 31(2):1064–1073, 2016.
    [238] R. A. Maronna, R. D. Martin, and V. J. Yohai. Robust Statistics: Theory and Methods. John Wiley & Sons, 2006.
    [239] P. J. Rousseeuw and M. Hubert. Anomaly detection by robuststatistics. WIREs Data Mining and Knowledge Discovery, 8:e1236, 2018.
    [240] H. Najima, C. Oberlin, J. Y. Alnot, and B. Cadot. Anatomical and biomechanical studies of the pathogenesis of trapeziometacarpal degenerative arthritis. The Journal of Hand Surgery (European Volume), 22, 1997.
    [241] M. Colman, D. P. Mass, and L. F. Draganich. Effects of the deep anterior oblique and dorsoradial ligaments on trapeziometacarpal joint stability. Journal of Hand Surgery (American Volume), 32, 2007.
    [242] A. L. Ladd, J. Lee, and E. Hagert. Macroscopic and microscopic analysis of the thumb carpometacarpal ligaments: a cadaveric study of ligament anatomy and histology. Journal of Hand Surgery (American Volume), 94, 2012.
    [243] R. G. Eaton and J. W. Littler. Ligament reconstruction for the painful thumb carpometacarpal joint. The Journal of Bone Joint Surgery, 55(8):1655–1666, 1973.
    [244] Pellegrini. V. D., Jr., C. W. Olcott, and G. Hollenberg. Contact patterns in the trapeziometacarpal joint: the role of the palmar beak ligament. Journal of Hand Surgery (American Volume), 18, 1993.
    [245] T. Imaeda, G. Niebur, K.-N. An, and W. P. III Cooney. Kinematics of the trapeziometacarpal joint after sectioning of ligaments. Journal of Orthopaedic Research, 12, 1994.
    [246] M. F. Koff, O. F. Ugwonali, R. J. Strauch, M. P. Rosenwasser, G. A. Ateshian, and V. C. Mow. Sequential wear patterns of the articular cartilage of the thumb carpometacarpal joint in osteoarthritis. The Journal of Hand Surgery (American Volume), 28(4):597–604, 2003.
    [247] M. Raju, L. S. R. Krishna, A. Haroon, and J. Jagapathi. Analysis of ankle joint with articular cartilage. In National Conference on Trends in Science, Engineering & Technology (NTSET), pages 288–293, 2018.
    [248] X.-L. Lin, S.-L. Wang, B.-L. Liu, L.-L. Gao, L.-W. Lyu, and C.-Q. Zhang. Stress behaviors of cartilage with defect and after repair in total knee under compression loading. Journal of Medical and Biological Engineering, 45, 2025.
    [249] D. L. Nelson. Osteoarthritis- what is osteoarthritis. https://www.davidlnelson.md/articles/Osteoarthritis.htm, 2021.
    [250] F. D. Kerkhof, E. E. Vereecke, O. Vanovermeire, J. Vanhaecke, M. Vanneste, and F. Stockmans. Trapeziometacarpal stabilization through dorsoradial ligament reconstruction: An early post-surgery in vivo biomechanical analyses. Journal of Orthopaedic Research, 36(11):2851–2864, 2018.
    [251] D. M. Lichtman, R. W. Culp, E. Wroten, and D. J. Slutsky. Arthroscopy and midcarpal instability. In David J. Slutsky and Daniel Nagle, editors, Techniques in Wrist and Hand Arthroscopy. Elsevier, U. S. A., 2007.
    [252] Q. Le Ngoc, H. Nguyen, and T. K. Anh. Comparative biomechanical analysis of three ligamentous reconstruction techniques for trapeziometacarpal joint instability: Acadaveric study. Orthopedic Reviews, 17(4), 2025.
    [253] K. R. Spekreijse, G. M. Vermeulen, T. M. Moojen, H. P. Slijper, S. E. R. Hovius, R. w. Selles, and R. Feitz. Surgical stabilization for symptomatic carpometacarpal hypermobility; a randomized comparison of a dorsal and a volar technique and a cohort of the volar technique. European Journal of Plastic Surgery, 39(5), 2016.
    [254] G. Brunelli, L. Monini, and F. Brunelli. Stabilisation of the trapezio-metacarpal joint. The Journal of Hand Surgery (European Volume), 14(2), 1989.
    [255] L. Rocchi, A. Merolli, C. Cotroneo, A. Morini, F. Brunelli, and F. Catalano. Abductor pollicis longus hemitendon looping around the first intermetacarpal ligament as interposition following trapeziectomy: A one-year follow-up study. Orthopaedics Traumatology: Surgery Research, 97(7), 2011.
    [256] J. D. Lin, J. W. Karl, and Strauch R. J. Strapeziometacarpal joint stability: The evolving importance of the dorsal ligaments. Clinical Orthopaedics and Related Research, 472(4), 2013

    QR CODE