Summary
Mechanical modeling of living tissues is currently one of the most crucial challenges in research for mechanical engineers and mathematicians. Mechanics is a key factor to understanding the mechanisms that regulate many biological processes, such as mitosis, migration, and differentiation. This work aims to present the most crucial aspects, in the authors’ opinion, to approach this challenge.
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Keywords
- Living Tissue
- Bone Volume Fraction
- Strain Energy Density Function
- Volume Fraction Distribution
- Crucial Challenge
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References
Kelly, K.: Science 279(5353), 992–992 (1998)
Krieger, K.: Science 312(5771), 189–190 (2006)
van der Meulen, M.C., Huiskes, R.: J. Biomech. 35(4), 401–414 (2002)
Kuhl, E.: Comput. Methods Biomech. Biomed. Engin. 11(5), 433–434 (2008)
Bonfield, W., Li, C.H.: J. Appl. Phys. 38, 2450–2455 (1967)
Piekarski, K.: J. Eng. Sci. 11, 557–565 (1973)
Wagner, H.D., Weiner, S.: J. Biomech. 25(11), 1311–1320 (1992)
Beaupre, G.S., Orr, T.E., Carter, D.R.: J. Orthop. Res. 8(5), 662–70 (1990)
Hernandez, C.J., Beaupre, G.S., Keller, T.S., Carter, D.R.: Bone 29(1), 74–78 (2001)
Zysset, P.K.: J. Biomech. 36(10), 1469–1485 (2003)
Zysset, P.K., Curnier, A.: J. Biomech. 29(12), 1549–1558 (1996)
Doblare, M., Garcia, J.M.: J. Biomech. 35(1), 1–17 (2002)
Turner, C.H., Cowin, S.C., Rho, J.Y., Rice, J.C.: J. Biomech. 23(6), 549–561 (1990)
Zysset, G., Kabel, J., van Rietbergen, B., Odgaard, A., Huiskes, R., Curnier, A.: J. Elast. 53(2), 125–146 (1998–1999)
Manfredini, P., Cocchetti, G., Maier, G., Redaelli, A., Montevecchi, F.M.: J. Biomech. 32(2), 135–144 (1999)
Wang, L., Fritton, S.P., Cowin, S.C., Weinbaum, S.: J. Biomech. 32(7), 663–672 (1999)
Smit, T.H., Burger, E.H., Huyghe, J.M.: J. Bone. Miner. Res. 17(11), 2021–2029 (2002)
Burger, E.H., Klein-Nulend, J., Smit, T.H.: J. Biomech. 36(10), 1453–1459 (2003)
Fornells, P., García-Aznar, J.M., Doblaré, M.: Ann. Biomed. Eng. 35(10), 1687–1698 (2007)
Alastrue, V., Pea, E., Martinez, M.A., Doblaré, M.: Ann. Biomed. Eng. 35(10), 1821–1837 (2007)
Peña, E., Perez del Palomar, A., Calvo, B., Martinez, M.A., Doblaré, M.: Arch. Comput. Methods Eng. 14(1), 47–91 (2007)
Zamir, E.A., Taber, L.A.:J. Biomech. Eng. 126, 276–283 (2004)
Taber, L.A., Humphrey, J.D.: J. Biomech. Eng. 123, 528–535 (2001)
Holzapfel, G.A., Gasser, T.C.: Comput. Meth. App. Mech. Eng. 190, 4379–4430 (2001)
Huyghe, J.M.R.J., Molenaar, M.M., Baaijens, F.P.T.: J. Biomech. Eng. 129, 776–785 (2007)
Huiskes, R., Weinans, H., Grootenboer, H.J., Dalstra, M., Fudala, B., Slooff, T.J.: J. Biomech. 20(11–12), 1135–1150 (1987)
García, J.M., Doblare, M., Cegonino, J.: Comput. Mater. Sci. 25, 100–114 (2002)
Prendergast, P.J.: Clin. Biomech. 12(6), 343–366 (1997)
Sanz-Herrera, J.A., García-Aznar, J.M., Doblaré, M.: Biomech. Model. Mechanobiol. 7(5), 355–366 (2008)
Lubarda, V.A., Hoger, A.: Int. J. Solids Struct. 39, 4627–4664 (2002)
Garikipati, K., Arruda, E.M., Grosh, K., Narayanan, H., Calve, S.: J. Mech. Phys. Solids. 52(7), 1595–1625 (2004)
Doblaré, M., García-Aznar, J.M.: Arch. Comput. Methods Eng. 13(4), 471–513 (2006)
García-Aznar, J.M., Rueberg, T., Doblaré, M.: Biomech. Model. Mechanobiol. 4(2–3), 147–167 (2005)
Gomez-Benito, M.J., García-Aznar, J.M., Kuiper, J.H., Doblaré, M.: J. Theor. Biol. 235(1), 105–119 (2005)
García-Aznar, J.M., Kuiper, J.H., Gomez-Benito, M.J., Doblaré, M., Richardson, J.B.: J. Biomech. 40(7), 1467–1476 (2006)
Moreo, P., García-Aznar, J.M., Doblaré, M.: Acta Biomater. 4(3), 613–621 (2007)
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Doblaré, M., García-Aznar, J.M. (2010). Modelling Living Tissues: Mechanical and Mechanobiological Aspects. In: Fitt, A., Norbury, J., Ockendon, H., Wilson, E. (eds) Progress in Industrial Mathematics at ECMI 2008. Mathematics in Industry(), vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12110-4_1
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