Remodelling of living bone induced by dynamic loading and drug delivery-Numerical modelling and clinical treatment

Mathematics and Computers in Simulation

Volumn 80, Issue 6, 2010, Pages 1278-1288

  Maršík, František ^a   Klika, Václav ^a,b   Chlup, Hynek ^a,b  

^a INSTITUTE OF THERMOMECHANICS   (Czech Republic)

^b CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

Author keywords

Biochemical model; Bone remodelling; Chemical kinetics; Numerical simulation

Indexed keywords

BIOCHEMICAL MODEL; BONE GROWTH; BONE REMODELLING; BONE RESORPTION; CANCELLOUS BONE; CHARACTERISTIC TIME; CHEMICAL KINETICS; CLINICAL EXPERIENCE; CLINICAL TREATMENTS; COMMERCIAL CODES; CONCENTRATION OF; CYCLIC COMPRESSION; DENSITY DISTRIBUTIONS; DRIVING FORCES; DYNAMIC LOADINGS; DYNAMIC MECHANICAL; DYNAMIC PROCESS; ENVIRONMENTAL CHANGE; LIVING BONE; NUMERICAL MODELLING; NUMERICAL SIMULATION; OSTEOCLAST ACTIVITY; OSTEOPROTEGERIN; RATE OF CHEMICAL REACTION; THREE STAGES; THRESHOLD LEVELS; TIME PERIODS; WHOLE PROCESS;

BIOMECHANICS; COMPUTER SIMULATION; DRUG DELIVERY; DYNAMIC LOADS; GRAFTING (CHEMICAL); MATHEMATICAL MODELS; SYNTHESIS (CHEMICAL);

BONE;

EID: 77649341411     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2009.02.014     Document Type: Article

References (26)

1. Chuong C.J., and Fung Y.C. Three-dimensional stress distribution in arteries. J. Biomech. Eng. 105 3 (1983) 268-274
2. Doblare E.M., Garcia J.M., and Gomez M.J. Modelling bone tissue fracture and healing: a review. Eng. Fracture Mech. 71 (2004) 1809-1840
3. Ehrlich P.J., and Lanyon L.E. Mechanical strain and bone cell function: a review. Osteopor. Int. 13 (2002) 688-700
4. Frost H.M. The mechanostat: a proposed pathogenetic mechanism of osteoporoses and the bone mass effects of mechanical and nonmechanical agents. Bone Miner. 2 (1987) 73-85
5. Frost H.M. The set point proposal (a possible causative mechanism). Clin. Orthop. 216 (1987) 280-296
6. Frost H.M. The Utah Paradigm of Skeletal Physiology, vol. 2 (2004), ISMNI, Greece. 960-88477-2-9
7. Hayashi S., Hayase T., et al. Numerical analysis for stability and self-excited oscillation in collapsible tube flow. Trans. ASME 120 (1998) 468-475
8. Helgason B., Perilli E., Schileo E., and Taddei F. Mathematical relationships between bone density and mechanical properties: a literature review. Clin. Biomech. 23 (2008) 135-146 10.1016/j.clinbiomech.2007.08.024
9. Heřt J., Přibylová E., and Lišková M. Reaction of bone to mechanical stimuli. part 3: Microstructure of compact bone of rabbit tibia after intermittent loading. Acta Anat. 82 (1972) 218-230
10. Holtzapfel G.A., Gasser T.C., and Ogden R.W. A new constitutive framework for arterial wall mechanics and a comparative study of material models. J. Elast. 61 (2000) 1-3
11. Holtzapfel G.A., and Weizsacker H.W. Biomechanical behavior of the arterial wall and its numerical characterization. Comp. Biol. Med. 28 (1998) 377-392
12. Huiskes R., and Hollister S.J. From structure to process, from organ to cell: recent developments of fe-analysis in orthopaedic biomechanics. J. Biomech. Eng. 115 (1993) 520-527
13. Jaworski Z.F.G., and Uhthoff H.K. Reversibility of nontraumatic disuse osteoporosis during its active phase. Bone 7 6 (1986) 431-439
14. V. Klika, F. Maršík, I. Landor, Longterm prediction of bone remodelling effect around implant, in: J. Denier, M. Finn, T. Mattner (Eds.), XXII International Congress of Theoretical and Applied Mechanics, Adelaide, Astralia, August 2008, Abstracts Book, CD-ROM Proceedings, ISBN: 978-0-9805142-1-6, http://ictam2008.adelaide.edu.au.
15. Klika V., Maršík F., and Barsa P. Remodelling of living bone-numerical simulation. Locomotor Syst. 14 1+2 Suppl (2007) 112-117
16. Lemaire V., Tobin F., Greller L., Cho C., and Suva L. Modeling the interactions between osteoblast and osteoclast activities in bone remodeling. J. Theor. Biol. 229 (2004) 293-309 10.1016/j.jtbi.2004.03.023
17. Marik I. Systemic, limb and combined defect of the sceleton-part: representative case report. Locomotor Syst. 8 3-4 (2001) 104-249 10.1016/j.jtbi.2004.03.023
18. Maršík F., Klika V., and Barsa P. Remodelling of a living bone-numerical simulation. ISBN: 1-86840-643-1. ICMOSPS Proceedings on CD. School of Mechanical Engineering UKZN. Durban, South Africa (2007)
19. Nicolis G., and Prigogine I. Selforganization in Nonequilibrium Systems (1977), Wiley, New York
20. Petrtýl M., Heřt J., and Fiala P. Spatial organization of the haversian bone in man. J. Biomech. 29 2 (1996) 161-169
21. Prigogine I. Étude Thermodynamique des Processes Irreversibles (1947), Desoer, Liege
22. Rajagopal K.R., and Srinivasa A.R. On thermomechanical restrictions of continua. Proc. R. Soc. Lond. A 460 (2004) 631-651 10.1016/j.jbiomech.2004.06.029
23. Robling A.G., Castillo A.B., and Turner C.H. Biomechanical and molecular regulation of bone remodeling. Annu. Rev. Biomed. Eng. 8 (2006) 455-498 10.1146/annurev.bioeng.8.061505.095721
24. Ruimerman R., Hilbers P., van Rietbergen B., and Huiskes R. A theoretical framework for strain-related trabecular bone maintenance and adaptation. J. Biomech. 38 (2005) 931-941 10.1016/j.jbiomech.2004.03.037
25. J. Wolff, Das Gesetz Der Transformation Der Knochen, A Hirchwild, Berlin, 1892, translated as: The law of bone remodeling (P. Maquet, R. Furlong), Springer, Berlin, 1986.
26. Zhu X., Gong H., and Gao B. The application of topology optimization on the quantitative description of the external shape of bone structure. J. Biomech. 38 (2005) 1612-1620 10.1016/j.jbiomech.2004.06.029