Strain Concentrations Surrounding an Ellipsoid Model of Lacunae and Osteocytes

References

• Burger , E. H. and Veldhuijzen , J. P. ( 1993 ) Influence of mechanical factors on bone formation, resorption and growth in vitro. , Hall, B. K., ed. Bone . Boca Raton : CRC Press, Inc. 7 , 37 – 56 .
   Google Scholar
• Choi , K. and Goldstein , S. A. ( 1992 ) A comparison of the fatigue behavior of human trabecular and cortical bone tissue. J. Biomeeh. , 25 : 1371 – 81 .
   PubMed Web of Science ®Google Scholar
• Dong , C. , Skalak , R. , Sung , K. L. , Schmid-Schonhcin , G. W. , Chien , S. ( 1988 ) Passive deformation analysis of human leukocytes. J. Biomech. Eng. , 110 : 27 – 36 .
   PubMed Web of Science ®Google Scholar
• Harell , A. , Dekel , S. , Binderman , I. ( 1977 ) Biochemical effect of mechanical stress on cultured hone cells. Calcif. Tissue. Res. , 22 Suppl: 202 – 7 .
   PubMedGoogle Scholar
• Hollister , S. J , Brennan , J. M. , Kikuchi , N. ( 1994 ) A homoge-nizalion sampling procedure for calculating trabecular bone effective stiffness and tissue level stress. J. Biomechanics. , 27 : 433 – 444 .
   PubMed Web of Science ®Google Scholar
• Hollister , S. J. and Kikuchi , N. ( 1994 ) Homogenization theory and digital imaging: a basis for studying the mechanics and design principles of bone tissue , Biotechnology and Bioengineering , 43 , 586 – 596 .
   PubMed Web of Science ®Google Scholar
• Hollister , S. J. , Fyhrie , D. P. , Jepsen , K. J. and Goldstein , S. A. ( 1991 ) Application of homogenization theory to the study of trabecular bone mechanics , J. Biomechanics , 24 : 825 – 839 .
   PubMed Web of Science ®Google Scholar
• Ingber , D. ( 1991 ) Integrins as mechanichemical transducers. Curr. Opin. Cell. Biol. , 3 : 841 – 8 .
   PubMed Web of Science ®Google Scholar
• Martin , R. B. and Burr , D. B. ( 1989 ) Structure, Function, and Adaptation of Compact Bone. , New York : Raven Press, 39.
   Google Scholar
• Murray , D. W. and Rushton , N. ( 1990 ) The effect of strain on bone cell prostaglandin E2 release: a new experimental method. Calcif , Tissue Int. 47 : 35 – 39 .
   Google Scholar
• Rubin , C. T , and Lanyon , L. E. ( 1982 ) Limb mechanics as a function of speed and gait: A study of functional strains in the radius and tibia of horse and dog. J. Exp. Biol. , 101 : 187 – 211 .
   PubMed Web of Science ®Google Scholar
• Sissons , H. A. and O'Conner , P. ( 1977 ) Quantitative histology of osteocyte lacunae in normal human cortical bone Calcif. Tissue Res. , 22 Suppl: 530 – 3 .
   Google Scholar
• Tandon , G. P. and Weng , G. J. ( 1986 ) Stress distribution in and around spheroidal inclusions and voids at finite concentration. Journal of Applied Mechanics , 53 : 511 – 518 .
   Web of Science ®Google Scholar
• Wilkes , R. P. and Athanasiou , K. A. } ( 1995 ). Measurement of compressibility of osteoblast-like cells in response to hydrostatic pressure. Trans. 41st Orthopaedic Research Society meeting , p. 503 .
   Google Scholar
• Yen , C. and Rodan , G. A. ( 1984 ) Tensile forces enhance Prostaglandin E synthesis in osteoblastic cells grown on collagen ribbons. Calcif. Tissue Int. , 36 : S67-S71.
   Web of Science ®Google Scholar