Effect of screw position on bone tissue differentiation within a fixed femoral fracture

Abstract

Plate and screw constructs are routinely used in the treatment of long bone fractures. Despite considerable advancements in technology and techniques, there can still be complications in the healing of long bone fractures. Non-unions, delayed unions, and hardware failures are common complications observed in clinical practice following open reduction and internal fixation of fractures [1]. Potential causes of these adverse clinical effects may be disruptive to the periosteal and endosteal blood supply, stress shielding effects, and inadequate mechanical stability. The goal of the present study was to explore the effect of screw position on the fracture healing and formation of new bone tissue with mechanoregulatory algorithms in a computational model. An idealized poroelastic 3D finite element (FE) model of a femur with a 5 mm fracture gap, including a plate-screw construct was developed. Nineteen different plate-screw combinations, created by varying the number and position of screws within the plate, were created to identify a construct with the most favourable attributes for fracture healing. The first phase of the study evaluated constructs through mechanical stress analyses to identify those constructs with high loadsupport capability. The second phase of the study evaluated healing and bone formation with a biphasic mechanoregulatory algorithm to simulate tissue differentiation for fixation within selected constructs. The results of our analysis demonstrated a 4-screw symmetrical construct with the largest distance between screws to provide the most favourable balance of stability and optimized conditions to promote fracture healing.

 

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Nasr, S. , Hunt, S. and Duncan, N. (2013) Effect of screw position on bone tissue differentiation within a fixed femoral fracture. Journal of Biomedical Science and Engineering, 6, 71-83. doi: 10.4236/jbise.2013.612A009.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Rockwood, C.A., Green, D.P. and Bucholz, R.W. (2010) Rockwood and Green’s fractures in adults. Wolters Kluwer Health/Lippincott, Williams & Wilkins, Philadelphia.
[2] Howard, A. and Giannoudis, P.V. (2012) Proximal femoral fractures: Issues and challenges. Injury, 43, 1975-1977. http://dx.doi.org/10.1016/j.injury.2012.09.013
[3] Sabharwal, S., Kishan, S. and Behrens, F. (2005) Principles of external fixation of the femur. American Journal of Orthopedics (Belle Mead NJ), 34, 218-223.
[4] Papini, M., Zdero, R., Schemitsch, E.H. and Zalzal, P. (2007) The biomechanics of human femurs in axial and torsional loading: Comparison of finite element analysis, human cadaveric femurs, and synthetic femurs. Journal of Biomechanical Engineering, 129, 12-19.
http://dx.doi.org/10.1115/1.2401178
[5] Heineman, D.J., Poolman, R.W., Nork, S.E., Ponsen, K.J. and Bhandari, M. (2010) Plate fixation or intramedullary fixation of humeral shaft fractures. Acta Orthopaedica, 81, 216-223.
http://dx.doi.org/10.3109/17453671003635884
[6] Einhorn, T.A. (1998) One of nature’s best kept secrets. Journal of Bone and Mineral Research, 13, 10-12.
http://dx.doi.org/10.1359/jbmr.1998.13.1.10
[7] Egermann, M., Goldhahn, J. and Schneider, E. (2005) Animal models for fracture treatment in osteoporosis, Osteoporosis International, 16, S129-S138.
http://dx.doi.org/10.1007/s00198-005-1859-7
[8] Souna, B.S., Ganda, S., Amadou, S. and Abdoulaye, A. (2008) The treatment of tibia open fractures by Hoffmann external fixation in Niamey. About 50 cases. Mali Médical, 23, 11-15.
[9] Putnam, M.D. and Walsh, T.M.t. (1993) External fixation for open fractures of the upper extremity. Hand Clinics, 9, 613-623.
[10] Dubov, A., Kim, S.Y., Shah, S., Schemitsch, E.H., Zdero, R. and Bougherara, H. (2011) The biomechanics of plate repair of periprosthetic femur fractures near the tip of a total hip implant: The effect of cable-screw position. Proceedings of the Institution of Mechanical Engineers, Part H, 225, 857-865.
http://dx.doi.org/10.1177/0954411911410642
[11] Taljanovic, M.S., Jones, M.D., Ruth, J.T., Benjamin, J.B., Sheppard, J.E. and Hunter, T.B. (2003) Fracture fixation. Radiographics, 23, 1569-1590.
http://dx.doi.org/10.1148/rg.236035159
[12] Field, J.R., Tornkvist, H., Hearn, T.C., Sumner-Smith, G. and Woodside, T.D. (1999) The influence of screw omission on construction stiffness and bone surface strain in the application of bone plates to cadaveric bone. Injury, 30, 591-598.
http://dx.doi.org/10.1016/S0020-1383(99)00158-8
[13] Fouad, H. (2010) Effects of the bone-plate material and the presence of a gap between the fractured bone and plate on the predicted stresses at the fractured bone. Medical Engineering & Physics, 32, 783-789.
http://dx.doi.org/10.1016/j.medengphy.2010.05.003
[14] Ramakrishna, K., Sridhar, I., Sivashanker, S., Khong, K.S. and Ghista, D.N. (2004) Design of fracture fixation plate for necessary and sufficient bone stress shielding. JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing, 47, 1086-1094.
http://dx.doi.org/10.1299/jsmec.47.1086
[15] Ganesh, V.K., Ramakrishna, K. and Ghista, D.N. (2005) Biomechanics of bone-fracture fixation by stiffnessgraded plates in comparison with stainless-steel plates. BioMedical Engineering OnLine, 4, 46.
http://dx.doi.org/10.1186/1475-925X-4-46
[16] Carter, D.R., Vasu, R., Spengler, D.M. and Dueland, R.T. (1981) Stress fields in the unplated and plated canine femur calculated from in vivo strain measurements. Journal of Biomechanics, 14, 63-70.
http://dx.doi.org/10.1016/0021-9290(81)90081-6
[17] Isaksson, H., Wilson, W., van Donkelaar, C.C., Huiskes, R. and Ito, K. (2006) Comparison of biophysical stimuli for mechano-regulation of tissue differentiation during fracture healing. Journal of Biomechanics, 39, 1507-1516.
http://dx.doi.org/10.1016/j.jbiomech.2005.01.037
[18] Prendergast, P.J., Huiskes, R. and Soballe, K. (1997) ESB Research Award 1996. Biophysical stimuli on cells during tissue differentiation at implant interfaces. Journal of Biomechanics, 30, 539-548.
http://dx.doi.org/10.1016/S0021-9290(96)00140-6
[19] Zhang, P. and Yokota, H. (2011) Knee loading stimulates healing of mouse bone wounds in a femur neck. Bone, 49, 867-872.
[20] Gardner, M.J., van der Meulen, M.C., Demetrakopoulos, D., Wright, T.M., Myers, E.R. and Bostrom, M.P. (2006) In vivo cyclic axial compression affects bone healing in the mouse tibia. Journal of Orthopaedic Research, 24, 1679-1686. http://dx.doi.org/10.1002/jor.20230
[21] Carter, D.R., Blenman, P.R. and Beaupre, G.S. (1988) Correlations between mechanical stress history and tissue differentiation in initial fracture healing. Journal of Orthopaedic Research, 6, 736-748.
http://dx.doi.org/10.1002/jor.1100060517
[22] Gardner, T.N., Stoll, T., Marks, L., Mishra, S. and Knothe Tate, M. (2000) The influence of mechanical stimulus on the pattern of tissue differentiation in a long bone fracture—An FEM study. Journal of Biomechanics, 33, 415-425.
[23] Sandino, C. and Lacroix, D. (2011) A dynamical study of the mechanical stimuli and tissue differentiation within a CaP scaffold based on micro-CT finite element models. Biomechanics and Modeling in Mechanobiology, 10, 565-576. http://dx.doi.org/10.1007/s10237-010-0256-0
[24] Lacroix, D. and Prendergast, P.J. (2002) A mechanoregulation model for tissue differentiation during fracture healing: Analysis of gap size and loading. Journal of Biomechanics, 35, 1163-1171.
http://dx.doi.org/10.1016/S0021-9290(02)00086-6
[25] Isaksson, H., van Donkelaar, C.C., Huiskes, R. and Ito, K. (2006) Corroboration of mechanoregulatory algorithms for tissue differentiation during fracture healing: Comparison with in vivo results. Journal of Orthopaedic Research, 24, 898-907. http://dx.doi.org/10.1002/jor.20118
[26] Isaksson, H., van Donkelaar, C.C., Huiskes, R. and Ito, K. (2008) A mechano-regulatory bone-healing model incurporating cell-phenotype specific activity. Journal of Theoretical Biology, 252, 230-246.
[27] Checa, S. and Prendergast, P.J. (2009) A mechanobiological model for tissue differentiation that includes angiogenesis: A lattice-based modeling approach. Annals of Biomedical Engineering, 37, 129-145.
http://dx.doi.org/10.1007/s10439-008-9594-9
[28] Checa, S. and Prendergast, P.J. (2010) Effect of cell seeding and mechanical loading on vascularization and tissue formation inside a scaffold: A mechano-biological model using a lattice approach to simulate cell activity. Journal of Biomechanics, 43, 961-968.
[29] McMahon, L.A., O’Brien, F.J. and Prendergast, P.J. (2008) Biomechanics and mechanobiology in osteochondral tissues. Regenerative Medicine, 3, 743-759.
http://dx.doi.org/10.2217/17460751.3.5.743
[30] Nagel, T. and Kelly, D.J. (2010) Mechano-regulation of mesenchymal stem cell differentiation and collagen organisation during skeletal tissue repair. Biomechanics and Modeling in Mechanobiology, 9, 359-372.
http://dx.doi.org/10.1007/s10237-009-0182-1
[31] Perez, M.A. and Prendergast, P.J. (2007) Random-walk models of cell dispersal included in mechanobiological simulations of tissue differentiation. Journal of Biomechanics, 40, 2244-2253.
[32] Prendergast, P.J., Checa, S. and Lacroix, D. (2010) Computational models of tissue differentiation. Springer Netherlands, Dordrecht, 353-372.
[33] Mehboob, H., Son, D.S. and Chang, S.H. (2013) Finite element analysis of tissue differentiation process of a tibia with various fracture configurations when a composite intramedullary rod was applied. Composites Science and Technology, 80, 55-65.
http://dx.doi.org/10.1016/j.compscitech.2013.02.020
[34] Son, D.S. and Chang, S.H. (2013) The simulation of bone healing process of fractured tibia applied with composite bone plates according to the diaphyseal oblique angle and plate modulus. Composites Part B: Engineering, 45, 1325-1335.
http://dx.doi.org/10.1016/j.compositesb.2012.07.037
[35] Kim, H.J., Chang, S.H. and Jung, H.J. (2012) The simulation of tissue differentiation at a fracture gap using a mechano-regulation theory dealing with deviatoric strains in the presence of a composite bone plate. Composites Part B: Engineering, 43, 978-987.
http://dx.doi.org/10.1016/j.compositesb.2011.09.011
[36] Egol, K.A., Kubiak, E.N., Fulkerson, E., Kummer, F.J. and Koval, K.J. (2004) Biomechanics of locked plates and screws. Journal of Orthopaedic Trauma, 18, 488-493.
http://dx.doi.org/10.1097/00005131-200409000-00003
[37] Kumar, A., Gupta, H., Yadav, C.S., Khan, S.A. and Rastogi, S. (2013) Role of locking plates in treatment of difficult ununited fractures: A clinical study. Chinese Journal of Traumatology, 16, 22-26.
[38] Kwong, F.N. and Harris, M.B. (2008) Recent developments in the biology of fracture repair. The Journal of the American Academy of Orthopaedic Surgeons, 16, 619-625.
[39] Geris, L., Vandamme, K., Naert, I., Vander Sloten, J., Duyck, J. and Van Oosterwyck, H. (2009) Numerical simulation of bone regeneration in a bone chamber. Journal of Dental Research, 88, 158-163.
[40] Einhorn, T.A. (2005) The science of fracture healing. Journal of Orthopaedic Trauma, 19, S4-S6, 158-163.
[41] Miclau, T. and Martin, R.E. (1997) The evolution of modern plate osteosynthesis. Injury, 28, A3-A6.
http://dx.doi.org/10.1016/S0020-1383(97)90109-1
[42] Karnezis, I.A., Miles, A.W., Cunningham, J.L. and Learmonth, I.D. (1998) “Biological” internal fixation of long bone fractures: A biomechanical study of a “noncontact” plate system. Injury, 29, 689-695.
http://dx.doi.org/10.1016/S0020-1383(98)00168-5
[43] Edwards, W.B., Gillette, J.C., Thomas, J.M. and Derrick, T.R. (2008) Internal femoral forces and moments during running: Implications for stress fracture development. Clinical Biomechanics, 23, 1269-1278.
http://dx.doi.org/10.1016/j.clinbiomech.2008.06.011
[44] Taylor, M.E., Tanner, K.E., Freeman, M.A. and Yettram, A.L. (1996) Stress and strain distribution within the intact femur: Compression or bending? Medical Engineering & Physics, 18, 122-131.
http://dx.doi.org/10.1016/1350-4533(95)00031-3
[45] Aranzulla, P.J., Muckle, D.S. and Cunningham, J.L. (1998) A portable monitoring system for measuring weight-bearing during tibial fracture healing. Medical Engineering & Physics, 20, 543-548.
http://dx.doi.org/10.1016/S1350-4533(98)00061-7
[46] Riemer, B.L., Foglesong, M.E. and Miranda, M.A. (1994) Femoral plating. The Orthopedic Clinics of North America, 25, 625-633.
[47] Paterno, M.V. and Archdeacon, M.T. (2009) Is there a standard rehabilitation protocol after femoral intramedullary nailing? Journal of Orthopaedic Trauma, 23, S39-S46. http://dx.doi.org/10.1097/BOT.0b013e31819f27c2
[48] Johnson, M.W., Chakkalakal, D.A., Harper, R.A., Katz, J.L. and Rouhana, S.W. (1982) Fluid flow in bone in vitro. Journal of Biomechanics, 15, 881-885.
http://dx.doi.org/10.1016/0021-9290(82)90054-9
[49] Schaffler, M.B. and Burr, D.B. (1988) Stiffness of compact bone: Effects of porosity and density. Journal of Biomechanics, 21, 13-16.
http://dx.doi.org/10.1016/0021-9290(88)90186-8
[50] Schileo, E., Taddei, F., Cristofolini, L. and Viceconti, M. (2008) Subject-specific finite element models implementing a maximum principal strain criterion are able to estimate failure risk and fracture location on human femurs tested in Vitro. Journal of Biomechanics, 41, 356-367.
http://dx.doi.org/10.1016/j.jbiomech.2007.09.009
[51] Currey, J.D. (2012) The structure and mechanics of bone. Journal of Materials Science, 47, 41-54.
http://dx.doi.org/10.1007/s10853-011-5914-9
[52] Jepsen, K.J. and Andarawis-Puri, N. (2012) The amount of periosteal apposition required to maintain bone strength during aging depends on adult bone morphology and tissue-modulus degradation rate. Journal of Bone and Mineral Research, 27, 1916-1926.
http://dx.doi.org/10.1002/jbmr.1643
[53] Boskey, A.L. and Coleman, R. (2010) Aging and bone. Journal of Dental Research, 89, 1333-1348.
http://dx.doi.org/10.1177/0022034510377791
[54] Bayraktar, H.H., Morgan, E.F., Niebur, G.L., Morris, G.E., Wong, E.K. and Keaveny, T.M. (2004) Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue. Journal of Biomechanics, 37, 27-35.
http://dx.doi.org/10.1016/S0021-9290(03)00257-4
[55] Stoffel, K., Dieter, U., Stachowiak, G., Gachter, A. and Kuster, M.S. (2003) Biomechanical testing of the LCPhow can stability in locked internal fixators be controlled? Injury, 34, 11-19.
http://dx.doi.org/10.1016/j.injury.2003.09.021
[56] Uhthoff, H.K., Poitras, P. and Backman, D.S. (2006) Internal plate fixation of fractures: Short history and recent developments. Journal of Orthopaedic Science, 11, 118-126. http://dx.doi.org/10.1007/s00776-005-0984-7
[57] Huiskes, R., Weinans, H., Grootenboer, H.J., Dalstra, M., Fudala, B. and Slooff, T.J. (1987) Adaptive bone-remodeling theory applied to prosthetic-design analysis. Journal of Biomechanics, 20, 1135-1150.
http://dx.doi.org/10.1016/0021-9290(87)90030-3
[58] Noor, S., Pridham, C., Fawcett, T., Barclay, M., Feng, Y. T., Hassan, O. and Pallister, I. (2013) Finite element analysis modelling of proximal femoral fractures, including post-fixation periprosthetic fractures. Injury, 44, 791-795. http://dx.doi.org/10.1016/j.injury.2012.10.023
[59] Korvick, D.L., Monville, J.D., Pijanowski, G.J. and Phillips, J.W. (1988) The effects of screw removal on bone strain in an idealized plated bone model. Veterinary Surgery, 17, 111-116.
http://dx.doi.org/10.1111/j.1532-950X.1988.tb00288.x
[60] Lacroix, D. (2000) Simulation of tissue differentiation during fracture healing. Ph.D. Dessertation, University of Dublin, Dublin.
[61] Bailon-Plaza, A. and van der Meulen, M.C. (2001) A mathematical framework to study the effects of growth factor influences on fracture healing. Journal of Theoretical Biology, 212, 191-209.
http://dx.doi.org/10.1006/jtbi.2001.2372
[62] Gerstenfeld, L.C., Cullinane, D.M., Barnes, G.L., Graves, D.T. and Einhorn, T.A. (2003) Fracture healing as a post-natal developmental process: Molecular, spatial, and temporal aspects of its regulation. Journal of Cellular Biochemistry, 88, 873-884.
http://dx.doi.org/10.1002/jcb.10435
[63] Fan, Y., Xiu, K., Duan, H. and Zhang, M. (2008) Biomechanical and histological evaluation of the application of biodegradable poly-L-lactic cushion to the plate internal fixation for bone fracture healing. Clinical Biomechanics, 23, S7-S16.
http://dx.doi.org/10.1016/j.clinbiomech.2008.01.005
[64] Uhthoff, H.K. and Finnegan, M. (1983) The effects of metal plates on post-traumatic remodelling and bone mass. The Journal of Bone and Joint Surgery, 65, 66-71.

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