References
References
- Parfitt , AM . 1994 . Osteonal and hemi-osteonal Remodeling: the spatial and temporal framework for signal traffic in adult human bone . Journal of Cellular Biochemistry , 55 : 273 – 286 .
- Cowin , SC . 1993 . Bone stress adaptation models . Transactions of the ASME, Journal of Biomechanical Engineering , 115 : 528 – 533 .
- Cowin , SC and Hegedus , DH . 1976 . Bone remodeling I: theory of adaptive elasticity . Journal of Elasticity , 6 : 313 – 326 .
- Carter , DR , Fyhrie , DP and Whalen , RT . 1987 . Trabecular bone density and loading history: regulation of connective tissue biology by mechanical energy . Journal of Biomechanics , 20 : 785 – 794 .
- Huiskes , R , Weinans , H , Grootenboer , HJ , Dalstra , M , Fudala , B and Slooff , TJ . 1987 . Adaptive bone-remodeling theory applied to prosthetic-design analysis . Journal of Biomechanics , 20 : 1135 – 1150 .
- Harrigan , TP and Mann , RW . 1984 . Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor . Journal of Materials Science , 19 : 761 – 767 .
- Cowin , SC . 1986 . Wolff's law of trabecular architecture at remodeling equilibrium . Transactions of the ASME, Journal of Biomechanical Engineering , 108 : 83 – 88 .
- Cowin , SC , Sadegh , AM and Luo , GM . 1992 . An evolutionary Wolff's law for trabecular architecture . Transactions of the ASME, Journal of Biomechanical Engineering , 114 : 129 – 136 .
- Jacobs , CR , Simo , JC , Beaupré , GS and Carter , DR . 1997 . Adaptive bone remodeling incorporating simultaneous density and anisotropy considerations . Journal of Biomechanics , 30 : 603 – 613 .
- Doblaré , M and García , JM . 2002 . Anisotropic bone remodelling model based on a continuum damage-repair theory . Journal of Biomechanics , 35 : 1 – 17 .
- Adachi , T , Tomita , Y and Tanaka , M . 1999 . Three-Dimensional Lattice Continuum Model of cancellous bone for structural and remodeling simulation . JSME International Journal , 42C : 470 – 480 .
- Fernandes , P , Rodrigues , H and Jacobs , C . 1999 . A model of bone adaptation using a global optimisation criterion based on the trajectorial theory of Wolff . Computational Methods in Biomechanics and Biomedical Engineering , 2 : 125 – 138 .
- Bagge , M . 2000 . A model of bone adaptation as an optimization process . Journal of Biomechanics , 33 : 1349 – 1357 .
- Hollister , SJ 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 .
- van Rietbergen , B , Weinans , H , Huiskes , R and Odgaard , A . 1995 . A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models . Journal of Biomechanics , 28 : 69 – 81 .
- Mullender , M , van Rietbergen , B , Rüegsegger , P and Huiskes , R . 1998 . Effect of mechanical set point of bone cells on mechanical control of trabecular bone architecture . Bone , 22 : 125 – 131 .
- Adachi , T , Tsubota , K , Tomita , Y and Hollister , SJ . 2001 . Trabecular surface remodeling simulation for cancellous bone using microstructural voxel finite element models . Transactions of the ASME, Journal of Biomechanical Engineering , 123 : 403 – 409 .
- Adachi , T , Tomita , Y , Sakaue , H and Tanaka , M . 1997 . Simulation of trabecular surface remodeling based on local stress nonuniformity . JSME International Journal , 40C : 782 – 792 .
- Huiskes , R , Ruimerman , R , van Lenthe , GH and Janssen , JD . 2000 . Effects of mechanical forces on maintenance and adaptation of form in trabecular bone . Nature , 405 : 704 – 706 .
- Guldberg , RE , Richards , M , Caldwell , NJ , Kuelske , CL and Goldstein , SA . 1997 . Trabecular bone adaptation to variations in porous-coated implant topology . Journal of Biomechanics , 30 : 147 – 153 .
- Guedes , JM and Kikuchi , N . 1990 . Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods . Computer Methods in Applied Mechanics and Engineering , 83 : 143 – 198 .
- van Rietbergen , B , Odgaard , A , Kabel , J and Huiskes , R . 1996 . Direct mechanics assessment of elastic symmetries and properties of trabecular bone architecture . Journal of Biomechanics , 29 : 1653 – 1657 .
- Odgaard , A , Kabel , J , van Rietbergen , B , Dalstra , M and Huiskes , R . 1997 . Fabric and elastic principal directions of cancellous bone are closely related . Journal of Biomechanics , 30 : 487 – 495 .
- van Rietbergen , B , Odgaard , A , Kabel , J and Huiskes , R . 1998 . Relationships between bone morphology and bone elastic properties can be accurately quantified using high-resolution computer reconstructions . Journal of Orthopaedic Research , 16 : 23 – 28 .
- Tsubota , K , Adachi , T and Tomita , Y . 2002 . Functional adaptation of cancellous bone in human proximal femur predicted by trabecular surface remodeling simulation toward uniform stress state . Journal of Biomechanics , 35 : 1541 – 1551 .
- Tsubota , K , Adachi , T and Tomita , Y . 2003 . Effects of a fixation screw on trabecular structural changes in a vertebral body predicted by remodeling simulation . Annals of Biomedical Engineering , 31 : 733 – 740 .