Mathematical Models and Numerical Simulation in Bone Remodeling

[1]  José Manuel García-Aznar,et al.  Numerical analysis of a strain-adaptive bone remodelling problem , 2010 .

[2]  José R. Fernández,et al.  Analysis of a bone remodeling model , 2008 .

[3]  G S Beaupré,et al.  An approach for time‐dependent bone modeling and remodeling—theoretical development , 1990, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[4]  Stephen C. Cowin,et al.  The Exact Stimulus for the Strain Adaptation of Bone Tissue is Unknown , 2006 .

[5]  Meir Shillor,et al.  Quasistatic evolution of damage in an elastic body: numerical analysis and computational experiments , 2007 .

[6]  W C Van Buskirk,et al.  Internal bone remodeling induced by a medullary pin. , 1978, Journal of biomechanics.

[7]  J M García-Aznar,et al.  Piezoelectricity could predict sites of formation/resorption in bone remodelling and modelling. , 2012, Journal of theoretical biology.

[8]  H. Grootenboer,et al.  The behavior of adaptive bone-remodeling simulation models. , 1992, Journal of biomechanics.

[9]  José Manuel García-Aznar,et al.  Numerical analysis of a piezoelectric bone remodelling problem , 2012, European Journal of Applied Mathematics.

[10]  J. Monnier,et al.  Existence and Uniqueness of a Solution to an Adaptive Elasticity Model , 1998 .

[11]  D. Carter,et al.  A unifying principle relating stress to trabecular bone morphology , 1986, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[12]  José R. Fernández,et al.  An existence and uniqueness result for a strain-adaptive bone remodeling problem , 2011 .

[13]  H Weinans,et al.  Adaptive bone remodeling and biomechanical design considerations for noncemented total hip arthroplasty. , 1989, Orthopedics.

[14]  Stephen C. Cowin,et al.  Bone remodeling II: small strain adaptive elasticity , 1976 .

[15]  Jérôme Monnier,et al.  An existence and uniqueness result in bone remodeling theory , 1997 .

[16]  José R. Fernández,et al.  AN EXISTENCE AND UNIQUENESS RESULT FOR AN ELASTO-PIEZOELECTRIC PROBLEM WITH DAMAGE , 2009 .

[17]  Stephen C. Cowin,et al.  Bone remodeling III: uniqueness and stability in adaptive elasticity theory , 1978 .

[18]  S. Cowin,et al.  Bone remodeling I: theory of adaptive elasticity , 1976 .

[19]  J. R. Fernández,et al.  Numerical analysis of a contact problem including bone remodeling , 2011, J. Comput. Appl. Math..