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Bone remodeling I: theory of adaptive elasticity

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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The laws of bone architecture
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Studies on bone mechanics in vitro. I. Influence of pressure on orientation of structure
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The Classical Field Theories
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The Thermodynamics of Elastic Materials with Heat Conduction and Viscosity
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Bone remodeling II: small strain adaptive elasticity
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A continuum theory for granular materials
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The thermodynamics of elastic materials with heat conduction and viscosity
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A mechanochemical hypothesis for bone remodeling induced by mechanical stress
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Tetracycline-based histological analysis of bone remodeling
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The effects of geometric feedback in the development of osteoporosis
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Bone remodeling and piezoelectricity — I
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Bone remodeling and piezoelectricity — II
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FRACTURE: An Advanced Treatise
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MECHANICS OF BONE FRACTURE
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Piezoelectric Effect in Bone
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Effects of Electric Currents on Bone In Vivo
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Das Gesetz der Transformation der Knochen
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Existence of Caloric Equations of State in Thermodynamics
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THE CHEMICAL DYNAMICS OF BONE MINERAL
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The Electrical Control System Regulating Fracture Healing in Amphibians
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Non-Linear Field Theories
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Generation of Electric Potentials by Bone in Response to Mechanical Stress
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On the Piezoelectric Effect of Bone
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Literature Review : BIOMECHANICS, ITS FOUNDATIONS AND OBJECTIVES Y. C. Fung; N. Perrone; and M. Anliker, ed. Prentice-Hall, Inc., Englewood Cliffs, N.J. (1972)
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Changes in Trabecular Pattern of the Upper End of the Femur as an Index of Osteoporosis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Physiological Cybernetics: Methods and Applications
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Epilogue
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Form Adaptation of Individual Biological Structures to Mechanical Stress
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Adaptive Bone Remodelling
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Bone remodeling II: small strain adaptive elasticity
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Computational simulation of internal bone remodeling
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On numerical modelling of growth, differentiation and damage in structural living tissues
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Self-diffusion in remodeling and growth
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Identification of a constitutive law for trabecular bone samples under remodeling in the framework of irreversible thermodynamics
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Homogenized strain gradient remodeling model for trabecular bone microstructures
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Novel description of bone remodelling including finite memory effect, stimulation and signalling mechanisms
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Numerical investigations on the biomechanical compatibility of hip-joint endoprostheses
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Biphasic constitutive laws for biological interface evolution
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Computational modeling of healing: an application of the material force method
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Modelling of anisotropic growth in biological tissues
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Buckling of adaptive elastic bone-plate: theoretical and numerical investigation
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Analysis of avian bone response to mechanical loading, Part Two: Development of a computational connected cellular network to study bone intercellular communication
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A bone remodelling model coupling microdamage growth and repair by 3D BMU-activity
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Modelling external bone adaptation using evolutionary structural optimisation
inferred← citeshttps://doi.org/10.1007/s10237-006-0061-yopenalex-snapshot
A fibre reorientation model for orthotropic multiplicative growth
inferred← citeshttps://doi.org/10.1007/s10237-006-0062-xopenalex-snapshot
Computational modeling of arterial wall growth
inferred← citeshttps://doi.org/10.1007/s10237-006-0070-xopenalex-snapshot
On the theory of reactive mixtures for modeling biological growth
inferred← citeshttps://doi.org/10.1007/s10237-007-0098-6openalex-snapshot
A nonlinear finite element model of cartilage growth
inferred← citeshttps://doi.org/10.1007/s10237-008-0122-5openalex-snapshot
A bone remodelling model including the directional activity of BMUs
inferred← citeshttps://doi.org/10.1007/s10237-008-0126-1openalex-snapshot
The micromechanics of fluid–solid interactions during growth in porous soft biological tissue
inferred← citeshttps://doi.org/10.1007/s10237-009-0183-0openalex-snapshot
Topological optimization in hip prosthesis design
inferred← citeshttps://doi.org/10.1007/s10237-009-0186-xopenalex-snapshot
A biphasic model for sinusoidal liver perfusion remodeling after outflow obstruction
inferred← citeshttps://doi.org/10.1007/s10237-010-0205-yopenalex-snapshot
Multigenerational interstitial growth of biological tissues
inferred← citeshttps://doi.org/10.1007/s10237-011-0318-yopenalex-snapshot
Computational modeling of bone density profiles in response to gait: a subject-specific approach
inferred← citeshttps://doi.org/10.1007/s10237-014-0560-1openalex-snapshot
Computational modeling of chemical reactions and interstitial growth and remodeling involving charged solutes and solid-bound molecules
inferred← citeshttps://doi.org/10.1007/s10237-017-0914-6openalex-snapshot
Capturing microscopic features of bone remodeling into a macroscopic model based on biological rationales of bone adaptation
inferred← citeshttps://doi.org/10.1007/s10237-017-0977-4openalex-snapshot
Modeling the effect of collagen fibril alignment on ligament mechanical behavior
inferred← citeshttps://doi.org/10.1007/s10237-017-0991-6openalex-snapshot
Effect of rehabilitation exercise durations on the dynamic bone repair process by coupling polymer scaffold degradation and bone formation
inferred← citeshttps://doi.org/10.1007/s10237-019-01225-2openalex-snapshot
Effect of fabric on the accuracy of computed tomography-based finite element analyses of the vertebra
inferred← citeshttps://doi.org/10.1007/s10237-022-01573-6openalex-snapshot
Symmetry breaking and effects of nutrient walkway in time-dependent bone remodeling incorporating poroelasticity
inferred← citeshttps://doi.org/10.1007/s10237-022-01656-4openalex-snapshot
Personalized loading conditions for homogenized finite element analysis of the distal sections of the radius
inferred← citeshttps://doi.org/10.1007/s10237-025-02024-8openalex-snapshot
Forward and inverse optimality problems of bone adaptation at the homogenised RVE level
inferred← citeshttps://doi.org/10.1007/s10237-026-02106-1openalex-snapshot
Including anisotropy in homogenised inverse remodelling algorithms for habitual load case estimation in bone
inferred← citeshttps://doi.org/10.1007/s10439-009-9861-4openalex-snapshot
Numerical Modeling of Long Bone Adaptation due to Mechanical Loading: Correlation with Experiments
inferred← citeshttps://doi.org/10.1007/s10439-010-9980-yopenalex-snapshot
Modeling of Active Transmembrane Transport in a Mixture Theory Framework
inferred← citeshttps://doi.org/10.1007/s10439-020-02456-6openalex-snapshot
Experimental Validation of an ITAP Numerical Model and the Effect of Implant Stem Stiffness on Bone Strain Energy
inferred← citeshttps://doi.org/10.1007/s10439-024-03472-6openalex-snapshot
Sustained Physiological Stretch Induces Abdominal Skin Growth in Pregnancy
inferred← citeshttps://doi.org/10.1007/s10441-025-09505-4openalex-snapshot
Computational Model of Bone Remodeling Integrating Osteocyte Mechanotransduction and Microdamage-Driven Self-Repair
inferred← citeshttps://doi.org/10.1007/s10596-020-09945-6openalex-snapshot
The role of fluid flow on bone mechanobiology: mathematical modeling and simulation
inferred← citeshttps://doi.org/10.1007/s10659-017-9630-9openalex-snapshot
Reactive Constrained Mixtures for Modeling the Solid Matrix of Biological Tissues
inferred← citeshttps://doi.org/10.1007/s10659-020-09809-1openalex-snapshot
Constrained Mixture Models of Soft Tissue Growth and Remodeling – Twenty Years After
inferred← citeshttps://doi.org/10.1007/s10659-021-09834-8openalex-snapshot
Mathematical Modelling of Residual-Stress Based Volumetric Growth in Soft Matter
inferred← citeshttps://doi.org/10.1007/s10659-022-09919-yopenalex-snapshot
An Eulerian Formulation of a Growing Constrained Elastic-Viscoplastic Generalized Membrane
inferred← citeshttps://doi.org/10.1007/s10659-023-09993-wopenalex-snapshot
A Simplified Eulerian Formulation of a Multi-Phase Soft Tissue Model with Homeostasis and Phase Transformation
inferred← citeshttps://doi.org/10.1007/s10704-007-9119-9openalex-snapshot
Configurational balance and entropy sinks
inferred← citeshttps://doi.org/10.1007/s10957-019-01502-1openalex-snapshot
Biomimetic Approach to Compliance Optimization and Multiple Load Cases
inferred← citeshttps://doi.org/10.1007/s10999-013-9232-zopenalex-snapshot
Modeling of a compact functionally graded cellular structure: a finite element study for medium and high strain rates
inferred← citeshttps://doi.org/10.1007/s11223-016-9800-1openalex-snapshot
Application of the Micropolar Theory to the Strength Analysis of Bioceramic Materials for Bone Reconstruction
inferred← citeshttps://doi.org/10.1007/s11223-017-9901-5openalex-snapshot
Linear Micropolar Elasticity Analysis of Stresses in Bones Under Static Loads
inferred← citeshttps://doi.org/10.1007/s11517-020-02306-6openalex-snapshot
Biomechanical design prognosis of two extramedullary fixation devices for subtrochanteric femur fracture: a finite element study
inferred← citeshttps://doi.org/10.1007/s11831-006-9001-3openalex-snapshot
Computational Modelling of Diarthrodial Joints. Physiological, Pathological and Pos-Surgery Simulations
inferred← citeshttps://doi.org/10.1007/s11831-014-9142-8openalex-snapshot
On the Theories and Numerics of Continuum Models for Adaptation Processes in Biological Tissues
inferred← citeshttps://doi.org/10.1007/s11914-023-00776-9openalex-snapshot
Using Finite Element Modeling in Bone Mechanoadaptation
inferred← citeshttps://doi.org/10.1007/s12356-012-0030-3openalex-snapshot
Lazy zone bone remodeling theory and its relation to topology optimization
inferred← citeshttps://doi.org/10.1007/s13534-015-0206-yopenalex-snapshot
An investigation into the effects of osteocytes density and mechanosensitivity on trabecular bone loss in aging and osteoporotic individuals
inferred← citeshttps://doi.org/10.1007/s40430-017-0874-xopenalex-snapshot
Bone density growth and the biomechanics of healthy and prosthetic femur
inferred← citeshttps://doi.org/10.1007/s42235-026-00962-2openalex-snapshot
Progress and Perspectives on Biomimetic Design of Human Load Regulation Mechanisms for Passive Lower-limb Exoskeletons: A Design Outlook for Continuous Metamorphic Biomimetic Mechanisms
inferred← citeshttps://doi.org/10.1007/s42493-026-00155-3openalex-snapshot
Computational Modelling of the Femur: A High-Fidelity Approach to Bone Remodelling
inferred← citeshttps://doi.org/10.1007/s42558-021-00035-wopenalex-snapshot
Modeling orthotropic elastic-inelastic response of growing tissues with application to stresses in arteries
inferred← citeshttps://doi.org/10.1007/s42558-022-00047-0openalex-snapshot
An Eulerian formulation of a growing rod in three dimensions with mass accretion
inferred← citeshttps://doi.org/10.1016/0020-7225(79)90013-2openalex-snapshot
Electromechanical properties and related models of bone tissues
inferred← citeshttps://doi.org/10.1016/0020-7225(90)90133-4openalex-snapshot
Nonequilibrium bone remodelling: Changes of mass density and of the axes of anisotropy
inferred← citeshttps://doi.org/10.1016/0021-9290(78)90053-2openalex-snapshot
Internal bone remodeling induced by a medullary pin
inferred← citeshttps://doi.org/10.1016/0021-9290(79)90069-1openalex-snapshot
Surface bone remodeling induced by a medullary pin
inferred← citeshttps://doi.org/10.1016/0021-9290(85)90022-3openalex-snapshot
Functional adaptation in long bones: Establishing in vivo values for surface remodeling rate coefficients
inferred← citeshttps://doi.org/10.1016/0021-9290(87)90029-7openalex-snapshot
Trabecular bone remodeling around smooth and porous implants in an equine patellar model
inferred← citeshttps://doi.org/10.1016/0021-9290(87)90030-3openalex-snapshot
Adaptive bone-remodeling theory applied to prosthetic-design analysis
inferred← citeshttps://doi.org/10.1016/0021-9290(87)90291-0openalex-snapshot
Effect of material damping on bone remodelling
inferred← citeshttps://doi.org/10.1016/0021-9290(89)90091-2openalex-snapshot
Relationships between loading history and femoral cancellous bone architecture
inferred← citeshttps://doi.org/10.1016/0021-9290(90)90363-8openalex-snapshot
Femoral head apparent density distribution predicted from bone stresses
inferred← citeshttps://doi.org/10.1016/0021-9290(91)90373-uopenalex-snapshot
Musculoskeletal ontogeny, phylogeny, and functional adaptation
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