{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,6]],"date-time":"2026-01-06T05:19:18Z","timestamp":1767676758748,"version":"3.41.0"},"reference-count":74,"publisher":"Elsevier","isbn-type":[{"type":"print","value":"9780128117187"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1016\/b978-0-12-811718-7.00017-4","type":"book-chapter","created":{"date-parts":[[2017,10,12]],"date-time":"2017-10-12T20:14:19Z","timestamp":1507839259000},"page":"303-323","source":"Crossref","is-referenced-by-count":3,"title":["The Mechanologic Bone Tissue Remodeling Analysis"],"prefix":"10.1016","author":[{"given":"M.","family":"Peyroteo","sequence":"first","affiliation":[]},{"given":"J.","family":"Belinha","sequence":"additional","affiliation":[]},{"given":"L.","family":"Dinis","sequence":"additional","affiliation":[]},{"given":"R.","family":"Natal Jorge","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib1","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1007\/s004660050346","article-title":"A\u00a0new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics","volume":"22","author":"Atluri","year":"1998","journal-title":"Computational Mechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib2","doi-asserted-by":"crossref","first-page":"651","DOI":"10.1002\/jor.1100080506","article-title":"An approach for time-dependent bone modeling and remodeling. Theoretical development","volume":"8","author":"Beaupr\u00e9","year":"1990","journal-title":"Journal of Orthopaedic Research"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib3","doi-asserted-by":"crossref","first-page":"662","DOI":"10.1002\/jor.1100080507","article-title":"An approach for time-dependent bone modeling and remodeling-application: a preliminary remodeling simulation","volume":"8","author":"Beaupr\u00e9","year":"1990","journal-title":"Journal of Orthopaedic Research"},{"year":"2014","series-title":"Meshless Methods in Biomechanics \u2013 Bone Tissue Remodelling Analysis","author":"Belinha","key":"10.1016\/B978-0-12-811718-7.00017-4_bib4"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib5","doi-asserted-by":"crossref","first-page":"165","DOI":"10.1016\/j.compstruct.2016.02.021","article-title":"The analysis of laminated plates using distinct advanced discretization meshless techniques","volume":"143","author":"Belinha","year":"2016","journal-title":"Composite Structures"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib6","doi-asserted-by":"crossref","first-page":"1650006","DOI":"10.1142\/S175882511650006X","article-title":"The natural neighbor radial point interpolation method extended to the crack growth simulation","volume":"8","author":"Belinha","year":"2016","journal-title":"International Journal of Applied Mechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib7","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1016\/j.compstruct.2013.03.018","article-title":"Composite laminated plate analysis using the natural radial element method","volume":"103","author":"Belinha","year":"2013","journal-title":"Composite Structures"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib8","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/j.ijmecsci.2013.08.011","article-title":"Analysis of thick plates by the natural radial element method","volume":"76","author":"Belinha","year":"2013","journal-title":"International Journal of Mechanical Sciences"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib9","doi-asserted-by":"crossref","first-page":"1286","DOI":"10.1002\/nme.4427","article-title":"The natural radial element method","volume":"93","author":"Belinha","year":"2013","journal-title":"International Journal for Numerical Methods in Engineering"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib10","series-title":"Proceedings of the III International Conference on Biodental Engineering","first-page":"213","article-title":"The bone tissue remodelling analysis in dentistry using a meshless method","author":"Belinha","year":"2014"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib11","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/j.matcom.2015.09.002","article-title":"The analysis of the bone remodelling around femoral stems: a meshless approach","volume":"121","author":"Belinha","year":"2015","journal-title":"Mathematics and Computers in Simulation"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib12","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/j.proeng.2015.07.009","article-title":"The meshless methods in the bone tissue remodelling analysis","volume":"110","author":"Belinha","year":"2015","journal-title":"Procedia Engineering"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib13","doi-asserted-by":"crossref","first-page":"1550059","DOI":"10.1142\/S0219519415500591","article-title":"The mandible remodelling induced by dental implants: a meshless approach","volume":"15","author":"Belinha","year":"2015","journal-title":"Journal of Mechanics in Medicine and Biology"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib14","first-page":"1","article-title":"A\u00a0meshless microscale bone tissue trabecular remodelling analysis considering a new anisotropic bone tissue material law","volume":"16","author":"Belinha","year":"2012","journal-title":"Computer Methods in Biomechanics and Biomedical Engineering"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib15","doi-asserted-by":"crossref","first-page":"1660","DOI":"10.1016\/j.enganabound.2012.05.009","article-title":"Bone tissue remodelling analysis considering a radial point interpolator meshless method","volume":"36","author":"Belinha","year":"2012","journal-title":"Engineering Analysis with Boundary Elements"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib16","doi-asserted-by":"crossref","first-page":"519","DOI":"10.1088\/0965-0393\/2\/3A\/007","article-title":"Fracture and crack growth by element free Galerkin methods","volume":"2","author":"Belytschko","year":"1994","journal-title":"Modelling and Simulation in Materials Science and Engineering"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib17","doi-asserted-by":"crossref","first-page":"785","DOI":"10.1016\/0021-9290(87)90058-3","article-title":"Trabecular bone density and loading history: regulation of connective tissue biology by mechanical energy","volume":"20","author":"Carter","year":"1987","journal-title":"Journal of Biomechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib18","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/0021-9290(89)90091-2","article-title":"Relationships between loading history and femoral cancellous bone architecture","volume":"22","author":"Carter","year":"1989","journal-title":"Journal of Biomechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib19","first-page":"1","article-title":"A\u00a0review on the applications of finite element method to heat transfer and fluid flow","volume":"3","author":"Chao","year":"2002","journal-title":"International Journal on Architectural Science"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib20","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1152\/physrev.2001.81.1.419","article-title":"Sex steroids and bone","volume":"81","author":"Compston","year":"2001","journal-title":"Physiological Reviews"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1090\/S0002-9904-1943-07818-4","article-title":"Variational methods for the solution of problems of equilibrium and vibrations","volume":"49","author":"Courant","year":"1943","journal-title":"Bulletin of the American Mathematical Society"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib22","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1007\/BF00041724","article-title":"Bone remodeling I: theory of adaptive elasticity","volume":"6","author":"Cowin","year":"1976","journal-title":"Journal of Elasticity"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib23","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1007\/BF00130467","article-title":"Bone remodeling III: uniqueness and stability in adaptive elasticity theory","volume":"8","author":"Cowin","year":"1978","journal-title":"Journal of Elasticity"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib24","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1115\/1.2895436","article-title":"An evolutionary Wolff\u2019s law for trabecular architecture","volume":"114","author":"Cowin","year":"1992","journal-title":"Journal of Biomechanical Engineering"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib25","doi-asserted-by":"crossref","first-page":"2009","DOI":"10.1016\/j.cma.2006.11.002","article-title":"Analysis of 3D solids using the natural neighbour radial point interpolation method","volume":"196","author":"Dinis","year":"2007","journal-title":"Computer Methods in Applied Mechanics and Engineering"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib26","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/j.enganabound.2007.08.006","article-title":"Analysis of plates and laminates using the natural neighbour radial point interpolation method","volume":"32","author":"Dinis","year":"2008","journal-title":"Engineering\u00a0Analysis with Boundary Elements"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib27","doi-asserted-by":"crossref","first-page":"911","DOI":"10.1108\/02644400910996835","article-title":"The natural neighbour radial point interpolation method: dynamic applications","volume":"26","author":"Dinis","year":"2009","journal-title":"Engineering with Computers"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib28","first-page":"1","article-title":"Large deformation applications with the radial natural neighbours interpolators","volume":"44","author":"Dinis","year":"2009","journal-title":"Computer Modeling in Engineering and Sciences"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib29","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1080\/15376490903249925","article-title":"An unconstrained third-order plate theory applied to functionally graded plates using a meshless method","volume":"17","author":"Dinis","year":"2010","journal-title":"Mechanics of Advanced Materials and Structures"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib30","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1177\/1099636209104735","article-title":"Composite laminated plates: a 3D natural neighbor radial point interpolation method approach","volume":"12","author":"Dinis","year":"2010","journal-title":"Journal of Sandwich Structures and Materials"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib31","doi-asserted-by":"crossref","first-page":"1132","DOI":"10.1016\/j.compstruct.2009.10.014","article-title":"A\u00a03D shell-like approach using a natural neighbour meshless method: isotropic and orthotropic thin structures","volume":"92","author":"Dinis","year":"2010","journal-title":"Composite Structures"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib32","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/j.tws.2010.09.023","article-title":"A\u00a0natural neighbour meshless method with a 3D shell-like approach in the dynamic analysis of thin 3D structures","volume":"49","author":"Dinis","year":"2011","journal-title":"Thin-Walled Structures"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib33","doi-asserted-by":"crossref","first-page":"1771","DOI":"10.1016\/j.compstruc.2010.10.015","article-title":"Static and dynamic analysis of laminated plates based on an unconstrained third order theory and using a radial point interpolator meshless method","volume":"89","author":"Dinis","year":"2011","journal-title":"Computer and Structures"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib34","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0021-9290(01)00178-6","article-title":"Anisotropic bone remodelling model based on a continuum damage-repair theory","volume":"35","author":"Doblar\u00e9","year":"2002","journal-title":"Journal of Biomechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib35","series-title":"Progress in Industrial Mathematics at ECMI 2008","first-page":"3","article-title":"Modelling living tissues: mechanical and mechanobiological aspects","author":"Doblar\u00e9","year":"2010"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib36","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1080\/15376494.2014.987410","article-title":"Numerical analysis of dental implants using a new advanced discretization\u00a0technique","volume":"23","author":"Duarte","year":"2016","journal-title":"Mechanics of Advanced Materials and Structures"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib37","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1016\/S0955-7997(98)00087-3","article-title":"Some recent results and proposals for the use of radial basis functions in the BEM","volume":"23","author":"Golberg","year":"1999","journal-title":"Engineering Analysis with Boundary Elements"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib38","doi-asserted-by":"crossref","first-page":"5515","DOI":"10.1016\/S0045-7825(01)00180-3","article-title":"A\u00a0local point interpolation method for static and dynamic analysis of thin beams","volume":"190","author":"Gu","year":"2001","journal-title":"Computer Methods in Applied Mechanics and Engineering"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib39","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1016\/0898-1221(90)90272-L","article-title":"Theory and applications of the multiquadric-biharmonic method 20 years of discovery 1968\u20131988","volume":"19","author":"Hardy","year":"1990","journal-title":"Computers and Mathematics with Applications"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib40","series-title":"Global Illumination Course Notes, SIGGRAPH 93","first-page":"1","article-title":"Introduction to finite element methods","author":"Heckbert","year":"1993"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib41","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1007\/BF00040896","article-title":"Bone remodeling II: small strain adaptive elasticity","volume":"6","author":"Hegedus","year":"1976","journal-title":"Journal of Elasticity"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib42","first-page":"268","article-title":"The OPG\/RANKL\/RANK system in metabolic bone diseases","volume":"4","author":"Hofbauer","year":"2004","journal-title":"Journal of Musculoskeletal and Neuronal Interactions"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib43","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1115\/1.4009129","article-title":"Solution of problems in elasticity by the frame work method","volume":"8","author":"Hrennikoff","year":"1941","journal-title":"Journal of Applied Mechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib44","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1016\/0021-9290(83)90072-6","article-title":"A\u00a0survey of finite element analysis in orthopedic biomechanics: the first decade","volume":"16","author":"Huiskes","year":"1983","journal-title":"Journal of Biomechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib45","doi-asserted-by":"crossref","first-page":"520","DOI":"10.1115\/1.2895534","article-title":"From structure to process, from organ to cell: recent developments of FE-analysis in orthopaedic biomechanics","volume":"115","author":"Huiskes","year":"1993","journal-title":"Journal of Biomechanical Engineering"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib46","doi-asserted-by":"crossref","first-page":"1135","DOI":"10.1016\/0021-9290(87)90030-3","article-title":"Adaptive bone-remodeling theory applied to prosthetic-design analysis","volume":"20","author":"Huiskes","year":"1987","journal-title":"Journal of Biomechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib47","doi-asserted-by":"crossref","first-page":"603","DOI":"10.1016\/S0021-9290(96)00189-3","article-title":"Adaptive bone remodeling incorporating simultaneous density and anisotropy considerations","volume":"30","author":"Jacobs","year":"1997","journal-title":"Journal of Biomechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib48","series-title":"In\u00a0Vivo CT-based 3D-modelling of Human Bones with Respect to Inhomogeneity","first-page":"57","author":"Krach","year":"1995"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib49","doi-asserted-by":"crossref","first-page":"584","DOI":"10.1177\/154405910608500703","article-title":"Bone remodeling in post-menopausal osteoporosis","volume":"85","author":"Lerner","year":"2006","journal-title":"Journal of Dental Research"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib50","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1006\/jsvi.2000.3626","article-title":"A\u00a0local radial point interpolation method (LRPIM) for free vibration analyses of 2-D solids","volume":"246","author":"Liu","year":"2001","journal-title":"Journal of Sound and Vibration"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib51","doi-asserted-by":"crossref","first-page":"713","DOI":"10.12989\/sem.2002.14.6.713","article-title":"Point interpolation method based on local residual formulation using radial basis functions","volume":"14","author":"Liu","year":"2002","journal-title":"Structural Engineering and Mechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib52","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1007\/s00466-005-0657-6","article-title":"A\u00a0meshfree radial point interpolation method (RPIM) for three-dimensional solids","volume":"36","author":"Liu","year":"2005","journal-title":"Computational Mechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib53","doi-asserted-by":"crossref","first-page":"1081","DOI":"10.1002\/fld.1650200824","article-title":"Reproducing kernel particle methods","volume":"20","author":"Liu","year":"1995","journal-title":"International Journal for Numerical Methods in Fluids"},{"year":"2007","series-title":"A\u00a0First Course in the Finite Element Method","author":"Logan","key":"10.1016\/B978-0-12-811718-7.00017-4_bib54"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib55","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1016\/0021-9290(91)90350-V","article-title":"Mechanical properties of metaphyseal bone in the proximal femur","volume":"24","author":"Lotz","year":"1991","journal-title":"Journal of Biomechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib56","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1680\/ijoti.1943.13967","article-title":"A\u00a0lattice analogy for the solution of plane stress problems","volume":"21","author":"McHenry","year":"1943","journal-title":"Journal of the Institution of Civil Engineers"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib57","doi-asserted-by":"crossref","first-page":"108","DOI":"10.1016\/j.rimni.2013.02.002","article-title":"An\u00e1lise de vigas laminadas utilizando o natural neighbour radial point interpolation method","volume":"30","author":"Moreira","year":"2014","journal-title":"Revista Internacional de M\u00e9todos Num\u00e9ricos para C\u00e1lculo y Dise\u00f1o en Ingenieria"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib58","first-page":"151","article-title":"A\u00a0global numerical analysis of the \u201ccentral incisor\/local maxillary bone\u201d system using a meshless method","volume":"11","author":"Moreira","year":"2014","journal-title":"Molecular and Cellular Biomechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib59","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1007\/BF00364252","article-title":"Generalizing the finite element method: diffuse approximation and diffuse elements","volume":"10","author":"Nayroles","year":"1992","journal-title":"Computational Mechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib60","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/BF02737117","article-title":"Computational simulation of internal bone remodeling","volume":"4","author":"Pettermann","year":"1997","journal-title":"Archives of Computational Methods in Engineering"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib61","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1504\/IJCAT.1994.062527","article-title":"Some applications of the finite-element method in biomechanical stress analyses","volume":"7","author":"Reiter","year":"1994","journal-title":"International Journal of Computer Applications in Technology"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib62","series-title":"Numerical Algorithm for the Simulation of Bone Remodeling","first-page":"181","author":"Reiter","year":"1990"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib63","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1146\/annurev.bioeng.8.061505.095721","article-title":"Biomechanical and molecular regulation of bone remodeling","volume":"8","author":"Robling","year":"2006","journal-title":"Annual Review of Biomedical Engineering"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib64","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1080\/10255840701550303","article-title":"A\u00a0topology optimization based model of bone adaptation","volume":"10","author":"Rossi","year":"2007","journal-title":"Computer Methods in Biomechanics and Biomedical Engineering"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib65","series-title":"Interpreting Multivariate Data","first-page":"21","article-title":"A\u00a0brief description of natural neighbour interpolation","author":"Sibson","year":"1981"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib66","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1016\/j.proeng.2015.07.007","article-title":"The elasto-plastic response of the bone tissue due to the insertion of dental implants","volume":"110","author":"Tavares","year":"2015","journal-title":"Procedia Engineering"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib67","doi-asserted-by":"crossref","first-page":"1623","DOI":"10.1002\/nme.489","article-title":"A\u00a0point interpolation meshless method based on radial basis functions","volume":"54","author":"Wang","year":"2002","journal-title":"International Journal for Numerical Methods in Engineering"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib68","doi-asserted-by":"crossref","first-page":"2611","DOI":"10.1016\/S0045-7825(01)00419-4","article-title":"On the optimal shape parameters of radial basis functions used for 2-D meshless methods","volume":"191","author":"Wang","year":"2002","journal-title":"Computer Methods in Applied Mechanics and Engineering"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib69","doi-asserted-by":"crossref","first-page":"1425","DOI":"10.1016\/0021-9290(92)90056-7","article-title":"The behavior of adaptive bone-remodeling simulation models","volume":"25","author":"Weinans","year":"1992","journal-title":"Journal of Biomechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib70","doi-asserted-by":"crossref","first-page":"825","DOI":"10.1016\/0021-9290(88)90015-2","article-title":"Influence of physical activity on the regulation of bone density","volume":"21","author":"Whalen","year":"1988","journal-title":"Journal of Biomechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib71","doi-asserted-by":"crossref","first-page":"1325","DOI":"10.1016\/S0021-9290(00)00069-5","article-title":"Critical evaluation of known bone material properties to realize anisotropic FE-simulation of the proximal femur","volume":"33","author":"Wirtz","year":"2000","journal-title":"Journal of Biomechanics"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib72","doi-asserted-by":"crossref","first-page":"951","DOI":"10.1016\/S0021-9290(02)00028-3","article-title":"A\u00a0study of the effect of non-linearities in the equation of bone remodeling","volume":"35","author":"Xinghua","year":"2002","journal-title":"Journal of Biomechanics"},{"year":"2013","series-title":"Finite Element Method\u202f;: Its Basis and Fundamentals","author":"Zienkiewicz","key":"10.1016\/B978-0-12-811718-7.00017-4_bib73"},{"key":"10.1016\/B978-0-12-811718-7.00017-4_bib74","doi-asserted-by":"crossref","first-page":"1961","DOI":"10.1016\/j.jbiomech.2008.03.025","article-title":"Some basic relationships between density values in cancellous and cortical bone","volume":"41","author":"Zioupos","year":"2008","journal-title":"Journal of Biomechanics"}],"container-title":["Numerical Methods and Advanced Simulation in Biomechanics and Biological Processes"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:B9780128117187000174?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:B9780128117187000174?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,6,26]],"date-time":"2025-06-26T12:30:47Z","timestamp":1750941047000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/B9780128117187000174"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9780128117187"],"references-count":74,"URL":"https:\/\/doi.org\/10.1016\/b978-0-12-811718-7.00017-4","relation":{},"subject":[],"published":{"date-parts":[[2018]]}}}