EDP Sciences logo
Submit your paper
Search
Menu
All issues Volume 26 (2025) Mechanics & Industry, 26 (2025) 30 References
Issue
Mechanics & Industry
Volume 26, 2025
Robotic Process Automation for Smarter Devices in Manufacturing
Article Number 30
Number of page(s) 17
DOI https://doi.org/10.1051/meca/2025020
Published online 23 September 2025
  1. S. Overgaard, Calcium phosphate coatings for fixation of bone implants: evaluated mechanically and histologically by stereological methods, Acta Orthopaed. Scand., 1–74 (2000) [Google Scholar]
  2. M.N. Wang, G.D. Jiang, H.Y. Yang, X. Jin, Computational models of bone fracture healing and applications: a review, Biomedical Engineering-Biomedizinische Technik. 69, 219–239 (2024) [Google Scholar]
  3. F. Pauwels, A new theory concerning the influence of mechanical stimuli on the differentiation of the supporting tissues: tenth contribution on the functional anatomy and the basic morphology of the supporting apparatus, Biomech. Locomotor Apparatus 375–407 (1980) [Google Scholar]
  4. L.E. Claes, C.A. Heigele, C. Neidlinger-Wilke, D. Kaspar, W. Seidl, K.J. Margevicius, P. Augat, Effects of mechanical factors on the fracture healing process, Clin. Orthopaed. Related Res. 355 SUPPL, S132–S147 (1998) [Google Scholar]
  5. L.E. Claes, C.A. Heigele, Magnitudes of local stress and strain along bony surfaces predict the course and type of fracture healing, J. Biomech. 32, 255–266 (1999) [Google Scholar]
  6. P.J. Prendergast, R. Huiskes, K. Soballe, 25 Biophysical stimuli on cells during tissue differentiation at implant interfaces, J. Biomech. 30, 539–548 (1997) [Google Scholar]
  7. D.R. Carter, G.S. Beaupre, N.J. Giori, J.A. Helms, Mechanobiology of skeletal regeneration, Clin. Orthopaed. Related Res. 355, S41–S55 (1998) [Google Scholar]
  8. L. Zhang, M. Richardson, P. Mendis, Role of chemical and mechanical stimuli in mediating bone fracture healing, Clin. Exp. Pharmacol. Physiol. 39, 706–710 (2012) [Google Scholar]
  9. M. Giorgi, A. Carriero, S.J. Shefelbine, N.C. Nowlan, Effects of normal and abnormal loading conditions on morphogenesis of the prenatal hip joint: application to hip dysplasia, J. Biomech. 48, 3390–3397 (2015) [Google Scholar]
  10. T. Ren, H.L. Dailey, Mechanoregulation modeling of bone healing in realistic fracture geometries, Biomech Model Mechanobiol. 19, 2307–2322 (2020) [Google Scholar]
  11. J.M. Naveiro, S. Puertolas, J. Rosell, A. Hidalgo, E. Ibarz, J. Albareda, L. Gracia, A new approach for initial callus growth during fracture healing in long bones, Comput. Methods Programs Biomed. 208, 106262 (2021) [Google Scholar]
  12. P. Schwarzenberg, T. Ren, K. Klein, B. von Rechenberg, S. Darwiche, H.L. Dailey, Domain-independent simulation of physiologically relevant callus shape in mechanoregulated models of fracture healing, J. Biomech. 118, 1–9 (2021) [Google Scholar]
  13. M. Pietsch, F. Niemeyer, U. Simon, A. Ignatius, K. Urban, Modelling the fracture-healing process as a moving-interface problem using an interface-capturing approach, Comp. Methods Biomech. Biomed. Eng. 21, 512–520 (2018) [Google Scholar]
  14. A. Bailón-Plaza, M.C.H. Van Der Meulen, A mathematical framework to study the effects of growth factor influences on fracture healing, J. Theor. Biol. 212, 191–209 (2001) [Google Scholar]
  15. A. Carlier, L. Geris, K. Bentley, G. Carmeliet, P. Carmeliet, H. van Oosterwyck, MOSAIC: a multiscale model of osteogenesis and sprouting angiogenesis with lateral inhibition of endothelial cells, PLoS Comput. Biol. 8, 1–16 (2012) [Google Scholar]
  16. A. Carlier, L. Geris, N.V. Gastel, G. Carmeliet, H.V. Oosterwyck, Oxygen as a critical determinant of bone fracture healing − a multiscale model, J. Theor. Biol. 365, 247–264 (2015) [Google Scholar]
  17. H. Kojouharov, I. Trejo, B. Chen-Charpentier, Modeling the effects of inflammation in bone fracture healing, Appl. Math. Tech. Natl. Sci. 1895 (2017) [Google Scholar]
  18. I. Trejo, H. Kojouharov, B. Chen-Charpentier, Modeling the macrophage-mediated inflammation involved in the bone fracture healing process, Math. Comput. Appl. 24, 12 (2019) [Google Scholar]
  19. E. Zhang, S. Miramini, M. Patel, M. Richardson, P. Ebeling, L. Zhang, Role of TNF-α in early-stage fracture healing under normal and diabetic conditions, Comput. Methods Progr. Biomed. 213 (2022) [Google Scholar]
  20. S.J. Shefelbine, P. Augat, L. Claes, U. Simon, Trabecular bone fracture healing simulation with finite element analysis and fuzzy logic, J. Biomech. 38, 2440–2450 (2005) [Google Scholar]
  21. H. Isaksson, C.C. van Donkelaar, R. Huiskes, K. Ito, A mechano-regulatory bone-healing model incorporating cell-phenotype specific activity, J. Theor. Biol. 252, 230–246 (2008) [Google Scholar]
  22. M. Wang, L. Sun, N. Yang, Z. Mao, Fracture healing process simulation based on 3D model and fuzzy logic, J. Intell. Fuzzy Syst. 31, 2959–2965 (2016) [Google Scholar]
  23. K.N. Grivas, M.G. Vavva, D. Polyzos, A. Carlier, L. Geris, H. Van Oosterwyck, D.I. Fotiadis, Effect of ultrasound on bone fracture healing: a computational mechanobioregulatory model, J. Acoust. Soc. America 145, 1048–1059 (2019) [Google Scholar]
  24. S. Irandoust, S. Mueftue, Effects of numerical parameters used in bone fracture healing simulations, 2014 IEEE 40th Annual Northeast Bioengineering Conference (NEBEC), 34692 (2014) [Google Scholar]
  25. N. Rousseau, P. Chabrand, A. Destainville, O. Richart, J.-L. Milan, Mechanobiological model to study the influence of screw design and surface treatment on osseointegration, Comput. Methods Biomech. Biomed. Eng. 25, 273–289 (2022) [Google Scholar]
  26. J.L. Milan, I. Manifacier, N. Rousseau, M. Pithioux, In silico modelling of long bone healing involving osteoconduction and mechanical stimulation, Comput. Methods Biomech. Biomed. Eng. 26, 174–186 (2023) [Google Scholar]
  27. Y. Yang, Z. Zhao, X. Qi, Y. Hu, B. Li, L. Zhang, Computational modeling of bone fracture healing under different initial conditions and mechanical load, IEEE Trans. Biomed. Eng. 71, 2105–2118 (2024) [Google Scholar]
  28. G. Ganadhiepan, L. Zhang, S. Miramini, P. Mendis, M. Patel, P. Ebeling, Y. Wang, The effects of dynamic loading on bone fracture healing under ilizarov circular fixators, J. Biomech. Eng. 141, 34696 (2019) [Google Scholar]
  29. R. Kolasangiani, Y. Mohandes, M. Tahani, Bone fracture healing under external fixator: Investigating impacts of several design parameters using Taguchi and ANOVA, Biocybern. Biomed. Eng. 40, 1525–1534 (2020) [Google Scholar]
  30. T. Ren, H.L. Dailey, Mechanoregulation modeling of bone healing in realistic fracture geometries, Biomech Model Mechanobiol. 19, 2307–2322 (2020) [Google Scholar]
  31. J.M. Naveiro, S. Puertolas, J. Rosell, A. Hidalgo, E. Ibarz, J. Albareda, L. Gracia, A new approach for initial callus growth during fracture healing in long bones, Comput. Methods Programs Biomed. 208, 106262 (2021) [Google Scholar]
  32. L. Olsen, J.A. Sherratt, P.K. Maini, F. Arnold, A mathematical model for the capillary endothelial cell-extracellular matrix interactions in wound-healing angiogenesis, IMA J. Math. Appl. Med. Biol. 14, 261–281 (1997) [Google Scholar]
  33. G. Ganadhiepan, S. Miramini, P. Mendis, M. Patel, L. Zhang, A probabilistic approach for modelling bone fracture healing under Ilizarov circular fixator, Int. J. Numer. Method Biomed. Eng. 37, e3466 (2021) [Google Scholar]
  34. G. Ganadhiepan, S. Miramini, M. Patel, P. Mendis, L. Zhang, Optimal time-dependent levels of weight-bearing for bone fracture healing under Ilizarov circular fixators, J. Mech. Behav. Biomed. Mater. 121, 104611 (2021) [Google Scholar]
  35. P. Nag, S. Chanda, A preclinical model of post-surgery secondary bone healing for subtrochanteric femoral fracture based on fuzzy interpretations, PLoS ONE 17, e0271061 (2022) [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.