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Morphological analysis of Gissane’s angle utilising a statistical shape model of the calcaneus

  • Trauma Surgery
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Abstract

Introduction

Gissane’s crucial angle (GA) facilitates to diagnose calcaneal fractures, and serves as an indicator of the quality of anatomical reduction after fixation. The study aimed to utilise statistical shape models (SSM) for analysing the complex 3D surface anatomy of the calcaneus represented by the simplified GA measurement on lateral radiographs.

Materials and methods

SSMs were generated from CT scans of paired adult calcanei from 10 Japanese and 31 Thai specimens. GA measurements in 3D and 2D were obtained for the lateral, central and medial anatomy of the posterior facet and sinus tarsi. The correlation between calcaneal length and GA was analysed. Regression and principal component (PC) analyses were conducted for analysing morphological variability in calcaneal shape relating to GA. The bilateral symmetry of the obtained measurements was analysed.

Results

The mean GA (lateral) for the Japanese specimens was 105.1° ± 7.5 and 105.4° ± 8.5 for the Thai. The projected 2D angles of the central and medial measurements were larger (P < 0.00) than the 3D values. The medial projected 2D angles were larger (P ≤ 0.02) compared to the lateral. Despite the bilateral symmetry of GA and calcaneal length, their correlation displayed clear signs of asymmetry, which was confirmed by regression and PC analyses.

Conclusions

Japanese and Thai specimens revealed lower GAs (both range and mean) compared to reported reference values of other ethnicities. As a reduced GA is generally indicative of a calcaneal fracture, our results are important to surgeons for their diagnostic assessment of Japanese and Thai patients. The results indicate that the GA measurement on a plain radiograph is a simplified representation of the lateral-to-central 3D calcaneal anatomy but significantly underestimates the angle measurement on the medial aspects of the respective surface areas.

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References

  1. Adams M, Munz J, Koury K (2017) Fractures of the calcaneus. Instr Course Lect 66:51–61

    PubMed  Google Scholar 

  2. Auerbach BM, Ruff CB (2006) Limb bone bilateral asymmetry: variability and commonality among modern humans. J Hum Evol 50(2):203–218

    Article  Google Scholar 

  3. Bah MT, Shi J, Browne M et al (2015) Exploring inter-subject anatomic variability using a population of patient-specific femurs and a statistical shape and intensity model. Med Eng Phys 37(10):995–1007

    Article  Google Scholar 

  4. Blanz V, Vetter T (1999) A morphable model for the synthesis of 3D faces. In: Proceedings of the 26th annual conference on computer graphics and interactive techniques. ACM Press/Addison-Wesley Publishing Co., pp 187–194

  5. Daruwalla ZJ, Courtis P, Fitzpatrick C, Fitzpatrick D, Mullett H (2010) An application of principal component analysis to the clavicle and clavicle fixation devices. J Orthopaed Surg Res 5:21–21

    Article  Google Scholar 

  6. Gissane W (1947) Discussion on fractures of the os calcis. Annual meeting of the British Orthopaedic Association, London, 1946. J Bone Jt Surg (Br) 29:255

    Google Scholar 

  7. Gravis Group (2016) Scalismo—scalable image analysis and shape modelling. University of Basel. https://scalismo.org/. Accessed 22 Feb 2020

  8. Idram I, Lai J-Y, Lee P-Y (2019) A reliable method for morphological measurement of 3D calcaneus models from computed tomography images. Biomed Res 30(1):149–159

    Article  Google Scholar 

  9. Khoshhal K, Ibrahim A, Al-Nakshabandi N, Zamzam M, Al-Boukai A, Zamzami M (2004) Böhler's and Gissane's angles of the calcaneus in the Saudi population. Saudi Med J 25:1967–1970

    PubMed  Google Scholar 

  10. Knight JR, Gross EA, Bradley GH, Bay C, LoVecchio F (2006) Boehler's angle and the critical angle of Gissane are of limited use in diagnosing calcaneus fractures in the ED. Am J Emerg Med 24(4):423–427

    Article  Google Scholar 

  11. Koo TK, Li MY (2016) A guideline of selecting and reporting intraclass correlation coefficients for reliability research. J Chiropr Med 15(2):155–163

    Article  Google Scholar 

  12. Lüthi M, Albrecht T, Gass T et al (2012) Statismo—a framework for pca based statistical models. Insight J 1:1–18

    Google Scholar 

  13. Lüthi M, Gerig T, Jud C, Vetter T (2018) Gaussian process morphable models. IEEE Trans Pattern Anal Mach Intell 40(8):1860–1873

    Article  Google Scholar 

  14. Melinska A, Romaszkiewicz P, Wagel J, Sasiadek M, Iskander D (2015) Statistical, morphometric, anatomical shape model (Atlas) of calcaneus. PLoS ONE 10(8):e0134603

    Article  Google Scholar 

  15. Nathena D, Michopoulou E, Kranioti EF (2017) Sexual dimorphism of the calcaneus in contemporary Cretans. Forensic Sci Int 277:260.e261–260.e268

    Article  Google Scholar 

  16. Otağ İ, Tetiker H, Taştemur Y, Sabancioğullari V, Koşar M, Çimen M (2017) Morphometric measurements of calcaneus; Boehler’sangle and bone length estimation. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 38(2):256–263

    Google Scholar 

  17. Otero JE, Westerlind BO, Tantavisut S et al (2015) There is poor reliability of Böhler's angle and the crucial angle of Gissane in assessing displaced intra-articular calcaneal fractures. Foot Ankle Surg 21(4):277–281

    Article  Google Scholar 

  18. Prasad SA, Rajasekhar SSSN (2019) Morphometric analysis of talus and calcaneus. Surg Radiol Anat 41(1):9–24

    Article  Google Scholar 

  19. Rammelt S, Sangeorzan BJ, Swords MP (2018) Calcaneal fractures—should we or should we not operate? Indian J Orthopaed 52(3):220–230

    Article  Google Scholar 

  20. Razik A, Harris M, Trompeter A (2018) Calcaneal fractures: where are we now? Strateg Trauma Limb Reconstr (Online) 13(1):1–11

    Article  Google Scholar 

  21. Sakaue K (2011) Sex assessment from the talus and calcaneus of Japanese. Bull Natl Mus Nat Sci 37:35–48

    Google Scholar 

  22. Sarkalkan N, Weinans H, Zadpoor AA (2014) Statistical shape and appearance models of bones. Bone 60:129–140

    Article  Google Scholar 

  23. Scott S, Ruengdit S, Peckmann TR, Mahakkanukrauh P (2017) Sex estimation from measurements of the calcaneus: applications for personal identification in Thailand. Forensic Sci Int 278:405.e401–405.e408

    Article  Google Scholar 

  24. Sengodan V, Amruth K (2012) Bohler's and Gissane angles in the Indian population. J Clin Imaging Sci 2(1):77–77

    Article  Google Scholar 

  25. Seyahi A, Uludağ S, Koyuncu L, Atalar A, Demirhan M (2009) The calcaneal angles in the Turkish population. Acta Orthop Traumatol Turc 43:406–411

    Article  Google Scholar 

  26. Shoukry FA, Aref YK, Sabry AAE (2012) Evaluation of the normal calcaneal angles in Egyptian population. Alex J Med 48(2):91–97

    Google Scholar 

  27. Shrout PE, Fleiss JL (1979) Intraclass correlations: uses in assessing rater reliability. Psychol Bull 86(2):420–428

    Article  CAS  Google Scholar 

  28. Tümer N, Arbabi V, Gielis WP et al (2019) Three-dimensional analysis of shape variations and symmetry of the fibula, tibia, calcaneus and talus. J Anat 234(1):132–144

    Article  Google Scholar 

  29. van IJsseldijk EA, Valstar ER, Stoel BC et al (2016) Three dimensional measurement of minimum joint space width in the knee from stereo radiographs using statistical shape models. Bone Joint Res 5(8):320–327

    Article  Google Scholar 

  30. Zhang J, Hislop-Jambrich J, Besier TF (2016) Predictive statistical models of baseline variations in 3-D femoral cortex morphology. Med Eng Phys 38(5):450–457

    Article  Google Scholar 

Download references

Acknowledgements

The study was supported in part through a Scientific Exchanges Grant (IZSEZO_186525) from the Swiss National Science Foundation.

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Correspondence to Beat Schmutz.

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The CT data utilised were available from studies previously published.

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Schmutz, B., Lüthi, M., Schmutz-Leong, Y.K. et al. Morphological analysis of Gissane’s angle utilising a statistical shape model of the calcaneus. Arch Orthop Trauma Surg 141, 937–945 (2021). https://doi.org/10.1007/s00402-020-03566-5

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