REFERENCES
- AarnesGT, SteenH, LudvigsenP, WaandersNA, HuiskesR, GoldsteinSA. 2005. In vivo assessment of regenerate axial stiffness in distraction osteogenesis. J Orth Res.23:494–498.
- AmentC, HoferEP. 2000. A fuzzy logic model of fracture healing. J Biomech.33:961–968.
- AndreykivA, van KeulenF, PrendergastPJ. 2008. Simulation of fracture healing incorporating mechanoregulation of tissue differentiation and dispersal/proliferation of cells. Biomech Model Mechanobiol.7(6):443–461.
- AugatP, SimonU, LiedertA, ClaesL. 2005. Mechanics and mechano-biology of fracture healing in normal and osteoporotic bone. Osteoporos Int.16(Suppl 2):S36–S43.
- Bailon-PlazaA, van der MeulenMC. 2001. A mathematical framework to study the effects of growth factor influences on fracture healing. J Theor Biol.212(2):191–209.
- Bailon-PlazaA, van der MeulenMC. 2003. Beneficial effects of moderate, early loading and adverse effects of delayed or excessive loading on bone healing. J Biomech.36(8):1069–1077.
- BeaupréGS, StevensSS, CarterDR. 2000. Mechanobiology in the development, maintenance, and degeneration of articular cartilage. J Rehab Res Dev.37(2):145–151.
- CarterDR, BeaupréGS, GioriNJ, HelmsJA. 1998. Mechanobiology of skeletal regeneration. Clin Orthop Related Res.355(Suppl):S41–S55.
- CarterDR, BeaupréGS, WongM, SmithRL, AndriacchiTP, SchurmanDJ. 2004. The mechanobiology of articular cartilage development and degeneration. Clin Orthop Related Res.427(Suppl):S69–S77.
- ClaesLE, HeigeleCA. 1999. Magnitudes of local stress and strain along bony surfaces predict the course and type of fracture healing. J Biomech.32:255–266.
- FriedlandB. 2005. Control system design: an introduction to state-space methods. Dover Publications, Mineola, NY.
- García-AznarJM, KuiperJH, Gómez-BenitoMJ, DoblaréM, RichardsonJB. 2007. Computational simulation of fracture healing: influence of interfragmentary movement on the callus growth. J Biomech.40(7):1467–1476.
- Gomez-BenitoMJ, García-AznarJM, KuiperJH, DoblaréM. 2005. Influence of fracture gap size on the pattern of long bone healing: a computational study. J Theor Biol.235(1):105–119.
- Gomez-BenitoMJ, García-AznarJM, KuiperJH, DoblaréM. 2006. A 3D computational simulation of fracture callus formation: influence of the stiffness of the external fixator. J Biomech Eng.128(3):290–299.
- González-TorresLA, Gómez-BenitoMJ, DoblaréM, García-AznarJM. 2010. Influence of the frequency of the external mechanical stimulus on bone healing: a computational study. Med Eng Phys.32(4):363–371.
- González-TorresLA, Gómez-BenitoMJ, García-AznarJM. 2011. Evaluation of residual stresses due to bone callus growth: a computational study. J Biomech.44(9):1782–1787.
- HernandezCJ, BeaupréGS, CarterDR. 2000. A model of mechanobiologic and metabolic influences on bone adaptation. J Rehab Res Dev.37(2):235–244.
- HuiskesR, van DrielWD, PrendergastPJ, SøballeK. 1997. A biomechanical regulatory model for periprosthetic fibrous-tissue differentiation. J Mater Sci: Mater Med. 8:785–788.
- IsakssonH, WilsonW, van DonkelaarCC, HuiskesR, ItoK. 2006. Comparison of biophysical stimuli for mechano-regulation of tissue differentiation during fracture healing. J Biomech.39:1507–1516.
- IsakssonH, ComasO, van DonkelaarCC, MediavillaJ, WilsonW, HuiskesR, ItoK. 2007. Bone regeneration during distraction osteogenesis: mechano-regulation by shear strain and fluid velocity. J Biomech.40:2002–2011.
- IsakssonH, GröngröftI, WilsonW, van DonkelaarCC, van RietbergenB, TamiA, HuiskesR, ItoK. 2008. Remodeling of fracture callus in mice is consistent with mechanical loading and bone remodeling theory. J Orthop Res.27:664–672.
- IsakssonH, van DonkelaarbCC, HuiskesR, ItoK. 2008. A mechano-regulatory bone-healing model incorporating cell-phenotype specific activity. J Theor Biol.252:230–246.
- KellyDJ, PrendergastPJ. 2005. Mechano-regulation of stem cell differentiation and tissue regeneration in osteochondral defects. J Biomech.38(7):1413–1422.
- LacroixD, PrendergastPJ. 1999. Prediction of tissue differentiation during fracture healing – influence of mechanical loading. Proceedings of American Society of Biomechanics. Pittsburgh, PA p. 276.
- LacroixD, PrendergastPJ. 2002. A mechano-regulation model for tissue differentiation during fracture healing: analysis of gap size and loading. J Biomech.35(9):1163–1171.
- LacroixD, PrendergastPJ, LiG, MarshD. 2002. Biomechanical model to simulate tissue differentiation and bone regeneration: application to fracture healing. Med Biol Eng Comput.40(1):14–21.
- LoboaEG, BeaupréGS, CarterDR. 2001. Mechanobiology of initial pseudarthrosis formation with oblique fractures. J Orthop Res.19:1067–1072.
- MerlozP. 2011. Bone regeneration and limb lengthening. Osteoporos Int.22(6):2033–2036.
- NelderJA, MeadR. 1965. A simplex method for function minimization. Comput J. 7(4):308–313.
- Reina-RomoE, Gomez-BenitoMJ, García-AznarJM, DomínguezJ, DoblaréM. 2009. Modeling distraction osteogenesis: analysis of the distraction rate. Biomech Model Mechanobiol.8(4):323–335.
- RüediTP, BuckleyRE, MoranCG. 2007. AO principles of fracture management, Volume 1 – Principles, Pection 1.2 – Biology and biomechanics of bone healing. Thieme, Davos.
- ShefelbineJS, AugatP, ClaesL, SimonU. 2005. Trabecular bone fracture healing simulation with finite element analysis and fuzzy logic. J Biomech.38:2440–2450.
- ShefelbineSJ, SimonU, ClaesL, GoldA, GabetY, BabI, MüllerR, AugatP. 2005. Prediction of fracture callus mechanical properties using micro-CT images and voxel-based finite element analysis. Bone. 36(3):480–488.
- van OersRFM, RuimermanR, TanckE, HilbersPAJ, HuiskesR. 2008. A unified theory for osteonal and hemi-osteonal remodeling. Bone. 42:250–259.