Piezoelectricity could predict sites of formation/resorption in bone remodelling and modelling.

We have developed a mathematical approach for modelling the piezoelectric behaviour of bone tissue in order to evaluate the electrical surface charges in bone under different mechanical conditions. This model is able to explain how bones change their curvature, where osteoblasts or osteoclasts could detect in the periosteal/endosteal surfaces the different electrical charges promoting bone formation or resorption. This mechanism also allows to understand the BMU progression in function of the electro-mechanical bone behaviour.

[1]  Theo H Smit,et al.  Strain-derived canalicular fluid flow regulates osteoclast activity in a remodelling osteon--a proposal. , 2003, Journal of biomechanics.

[2]  G. Beaupré,et al.  An approach for time‐dependent bone modeling and remodeling—application: A preliminary remodeling simulation , 1990, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[3]  R. Zernicke,et al.  Strain Gradients Correlate with Sites of Exercise‐Induced Bone‐Forming Surfaces in the Adult Skeleton , 1997, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[4]  C. Rubin,et al.  Fluid pressure gradients, arising from oscillations in intramedullary pressure, is correlated with the formation of bone and inhibition of intracortical porosity. , 2003, Journal of biomechanics.

[5]  R. J. Pawluk,et al.  Effects of Electric Currents on Bone In Vivo , 1964, Nature.

[6]  J. Anderson,et al.  Piezoelectric Properties of Dry and Wet Bone , 1970, Nature.

[7]  Claus Mattheck,et al.  Design in Nature: Learning from Trees , 1998 .

[8]  Manuel Doblaré,et al.  External bone remodeling through boundary elements and damage mechanics , 2006, Math. Comput. Simul..

[9]  S. Hazelwood,et al.  The relationship between basic multicellular unit activation and origination in cancellous bone. , 1999, Bone.

[10]  Jianqiao Ye,et al.  Thermoelectroelastic solutions for internal bone remodeling under axial and transverse loads , 2004 .

[11]  J. M. García-Aznar,et al.  Effect of porosity and mineral content on the elastic constants of cortical bone: a multiscale approach , 2011, Biomechanics and modeling in mechanobiology.

[12]  L. Lanyon,et al.  Limb mechanics as a function of speed and gait: a study of functional strains in the radius and tibia of horse and dog. , 1982, The Journal of experimental biology.

[13]  S. Cowin,et al.  Analysis of avian bone response to mechanical loading—Part One: Distribution of bone fluid shear stress induced by bending and axial loading , 2005, Biomechanics and modeling in mechanobiology.

[14]  Greer Rb rd.  Wolff's Law. , 1993 .

[15]  Gaffar Gailani,et al.  Hierarchical poroelasticity: movement of interstitial fluid between porosity levels in bones , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[16]  H. Frost.  Tetracycline-based histological analysis of bone remodeling , 2005, Calcified Tissue Research.

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

[18]  S. Cowin,et al.  Analysis of avian bone response to mechanical loading, Part Two: Development of a computational connected cellular network to study bone intercellular communication , 2005, Biomechanics and modeling in mechanobiology.

[19]  M Doblaré,et al.  An Anisotropic Internal-External Bone Adaptation Model Based on a Combination of CAO and Continuum Damage Mechanics Technologies , 2001, Computer methods in biomechanics and biomedical engineering.

[20]  S. Ramtani,et al.  Electro-mechanics of bone remodelling , 2008 .

[21]  Andrew C Ahn,et al.  Relevance of collagen piezoelectricity to "Wolff's Law": a critical review. , 2009, Medical engineering & physics.

[22]  H. Grootenboer,et al.  Adaptive bone-remodeling theory applied to prosthetic-design analysis. , 1987, Journal of biomechanics.

[23]  Brad M Isaacson,et al.  Bone bioelectricity: what have we learned in the past 160 years? , 2010, Journal of biomedical materials research. Part A.

[24]  J. Clement,et al.  A comparison of cortical bone thickness in the femoral midshaft of humans and two non-human mammals. , 2009, Homo : internationale Zeitschrift fur die vergleichende Forschung am Menschen.

[25]  S. Pollack,et al.  The origin of stress‐generated potentials in fluid‐saturated bone , 1983, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[26]  J. M. García-Aznar,et al.  A bone remodelling model coupling microdamage growth and repair by 3D BMU-activity , 2005, Biomechanics and modeling in mechanobiology.

[27]  C. Rubin,et al.  Strain Gradients Correlate with Sites of Periosteal Bone Formation , 1997, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[28]  Dennis R. Carter,et al.  The mechanobiological effects of periosteal surface loads , 2008, Biomechanics and modeling in mechanobiology.

[29]  H. Donahue,et al.  From streaming‐potentials to shear stress: 25 years of bone cell mechanotransduction , 2009, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[30]  Dimitrios I. Fotiadis,et al.  Wave propagation modeling in human long bones , 1999 .

[31]  Z. Horak,et al.  The course of osteons in the compact bone of the human proximal femur with clinical and biomechanical significance , 2007, Surgical and Radiologic Anatomy.

[32]  C. Andrew L. Bassett,et al.  Generation of Electric Potentials by Bone in Response to Mechanical Stress , 1962, Science.

[33]  H. Frost.  The Laws of Bone Structure , 1965 .