Mechanical Stimuli in the Local In Vivo Environment in Bone: Computational Approaches Linking Organ-Scale Loads to Cellular Signals

Purpose of ReviewConnecting organ-scale loads to cellular signals in their local in vivo environment is a current challenge in the field of bone (re)modelling. Understanding this critical missing link would greatly improve our ability to anticipate mechanotransduction during different modes of stimuli and the resultant cellular responses. This review characterises computational approaches that could enable coupling links across the multiple scales of bone.Recent FindingsCurrent approaches using strain and fluid shear stress concepts have begun to link organ-scale loads to cellular signals; however, these approaches fail to capture localised micro-structural heterogeneities. Furthermore, models that incorporate downstream communication from osteocytes to osteoclasts, bone-lining cells and osteoblasts, will help improve the understanding of (re)modelling activities. Incorporating this potentially key information in the local in vivo environment will aid in developing multiscale models of mechanotransduction that can predict or help describe resultant biological events related to bone (re)modelling.SummaryProgress towards multiscale determination of the cell mechanical environment from organ-scale loads remains elusive. Construction of organ-, tissue- and cell-scale computational models that include localised environmental variation, strain amplification and intercellular communication mechanisms will ultimately help couple the hierarchal levels of bone.

[1]  Peter Pivonka,et al.  Coupling systems biology with multiscale mechanics, for computer simulations of bone remodeling , 2013 .

[2]  C. Hellmich,et al.  Poromechanical stimulation of bone remodeling: A continuum micromechanics-based mathematical model and experimental validation , 2013 .

[3]  Georg N Duda,et al.  Monitoring in vivo (re)modeling: a computational approach using 4D microCT data to quantify bone surface movements. , 2015, Bone.

[4]  Ralph Müller,et al.  Strain-adaptive in silico modeling of bone adaptation--a computer simulation validated by in vivo micro-computed tomography data. , 2013, Bone.

[5]  I. Campbell,et al.  Integrin structure, activation, and interactions. , 2011, Cold Spring Harbor perspectives in biology.

[6]  Ganesh Thiagarajan,et al.  Comparison of strain measurement in the mouse forearm using subject-specific finite element models, strain gaging, and digital image correlation , 2017, Biomechanics and modeling in mechanobiology.

[7]  L. Bonewald,et al.  The Amazing Osteocyte , 2010, Journal of bone and mineral research : the official journal of the American Society for Bone and Mineral Research.

[8]  Xi Chen,et al.  The roles of exercise in bone remodeling and in prevention and treatment of osteoporosis. , 2016, Progress in biophysics and molecular biology.

[9]  P. Genever,et al.  The effect of osteocyte apoptosis on signalling in the osteocyte and bone lining cell network: a computer simulation. , 2012, Journal of biomechanics.

[10]  R. Huiskes,et al.  A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models. , 1995, Journal of biomechanics.

[11]  R. Sandberg,et al.  Laser capture microscopy coupled with Smart-seq2 for precise spatial transcriptomic profiling , 2016, Nature Communications.

[12]  Eric J. Anderson,et al.  Idealization of pericellular fluid space geometry and dimension results in a profound underprediction of nano-microscale stresses imparted by fluid drag on osteocytes. , 2008, Journal of biomechanics.

[13]  Yoshitaka Kameo,et al.  Microscale fluid flow analysis in a human osteocyte canaliculus using a realistic high-resolution image-based three-dimensional model. , 2012, Integrative biology : quantitative biosciences from nano to macro.

[14]  D. Clapham,et al.  Primary Cilia Are Not Calcium-Responsive Mechanosensors , 2016, Nature.

[15]  Stefaan W Verbruggen,et al.  Fluid flow in the osteocyte mechanical environment: a fluid–structure interaction approach , 2013, Biomechanics and Modeling in Mechanobiology.

[16]  Erping Luo,et al.  In situ intracellular calcium oscillations in osteocytes in intact mouse long bones under dynamic mechanical loading , 2014, FASEB journal : official publication of the Federation of American Societies for Experimental Biology.

[17]  A. Tiwari,et al.  Computer modelling of bone’s adaptation: the role of normal strain, shear strain and fluid flow , 2016, Biomechanics and Modeling in Mechanobiology.

[18]  P. Laugier,et al.  A determination of the minimum sizes of representative volume elements for the prediction of cortical bone elastic properties , 2011, Biomechanics and modeling in mechanobiology.

[19]  L. Bonewald,et al.  Tissue strain amplification at the osteocyte lacuna: a microstructural finite element analysis. , 2007, Journal of biomechanics.

[20]  J. P. Grossman,et al.  Biomolecular simulation: a computational microscope for molecular biology. , 2012, Annual review of biophysics.

[21]  Christian Hellmich,et al.  MICROMECHANICS-BASED CONVERSION OF CT DATA INTO ANISOTROPIC ELASTICITY TENSORS, APPLIED TO FE SIMULATIONS OF A MANDIBLE , 2008 .

[22]  P Zioupos,et al.  Mechanical properties and the hierarchical structure of bone. , 1998, Medical engineering & physics.

[23]  Vittorio Sansalone,et al.  Emergence of form from function—Mechanical engineering approaches to probe the role of stem cell mechanoadaptation in sealing cell fate , 2016, Bioarchitecture.

[24]  Ralph Müller,et al.  In vivo Visualisation and Quantification of Bone Resorption and Bone Formation from Time-Lapse Imaging , 2017, Current Osteoporosis Reports.

[25]  R. Müller,et al.  Bone mechanobiology in mice: toward single-cell in vivo mechanomics , 2017, Biomechanics and Modeling in Mechanobiology.

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

[27]  J Y Rho,et al.  Anisotropic properties of human tibial cortical bone as measured by nanoindentation , 2002, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[28]  G. Niebur,et al.  The in situ mechanics of trabecular bone marrow: the potential for mechanobiological response. , 2015, Journal of biomechanical engineering.

[29]  Ralph Müller,et al.  Toward Mechanical Systems Biology in Bone , 2012, Annals of Biomedical Engineering.

[30]  H. Frost Bone “mass” and the “mechanostat”: A proposal , 1987, The Anatomical record.

[31]  Daniel P Nicolella,et al.  Osteocyte lacunae tissue strain in cortical bone. , 2006, Journal of biomechanics.

[32]  Stefaan W Verbruggen,et al.  Strain amplification in bone mechanobiology: a computational investigation of the in vivo mechanics of osteocytes , 2012, Journal of The Royal Society Interface.

[33]  Mia M. Thi,et al.  Osteocyte calcium signals encode strain magnitude and loading frequency in vivo , 2017, Proceedings of the National Academy of Sciences.

[34]  Ganesh Thiagarajan,et al.  Non-contact strain measurement in the mouse forearm loading model using digital image correlation (DIC). , 2015, Bone.

[35]  Georg N Duda,et al.  Diminished response to in vivo mechanical loading in trabecular and not cortical bone in adulthood of female C57Bl/6 mice coincides with a reduction in deformation to load. , 2013, Bone.

[36]  Ralph Müller,et al.  Local Mechanical Stimuli Regulate Bone Formation and Resorption in Mice at the Tissue Level , 2013, PloS one.

[37]  S. Cowin,et al.  Ultrastructure of the osteocyte process and its pericellular matrix. , 2004, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[38]  Ralph Müller,et al.  The Clinical Biomechanics Award 2012 - presented by the European Society of Biomechanics: large scale simulations of trabecular bone adaptation to loading and treatment. , 2014, Clinical biomechanics.

[39]  Philipp Schneider,et al.  A quantitative framework for the 3D characterization of the osteocyte lacunar system. , 2013, Bone.

[40]  Christopher R Jacobs,et al.  Emerging role of primary cilia as mechanosensors in osteocytes. , 2013, Bone.

[41]  J. Wolff Das Gesetz der Transformation der Knochen , 1893 .

[42]  Ralph Müller,et al.  Strain energy density gradients in bone marrow predict osteoblast and osteoclast activity: a finite element study. , 2015, Journal of biomechanics.

[43]  Andreas J. Trüssel,et al.  Spatial mapping and high throughput microfluidic gene expression analysis of osteocytes in mechanically controlled bone remodeling , 2015 .

[44]  Peter Pivonka,et al.  The influence of bone surface availability in bone remodelling: A mathematical model including coupled geometrical and biomechanical regulations of bone cells , 2012, 1201.3170.

[45]  M G Haugh,et al.  A fluid–structure interaction model to characterize bone cell stimulation in parallel-plate flow chamber systems , 2013, Journal of The Royal Society Interface.

[46]  G. Lognay,et al.  Effects of thirty elements on bone metabolism. , 2015, Journal of trace elements in medicine and biology : organ of the Society for Minerals and Trace Elements.

[47]  G. Niebur,et al.  Comparison of solid and fluid constitutive models of bone marrow during trabecular bone compression. , 2016, Journal of biomechanics.

[48]  Shu Chien,et al.  Activation of integrins in endothelial cells by fluid shear stress mediates Rho‐dependent cytoskeletal alignment , 2001, The EMBO journal.

[49]  M. Schwartz Integrins and extracellular matrix in mechanotransduction. , 2010, Cold Spring Harbor perspectives in biology.

[50]  Ralph Müller,et al.  Bone adaptation to cyclic loading in murine caudal vertebrae is maintained with age and directly correlated to the local micromechanical environment. , 2015, Journal of biomechanics.

[51]  A. E. El Haj,et al.  Calcium‐channel activation and matrix protein upregulation in bone cells in response to mechanical strain , 2000, Journal of cellular biochemistry.

[52]  B. Geiger,et al.  Environmental sensing through focal adhesions , 2009, Nature Reviews Molecular Cell Biology.

[53]  N. Sims,et al.  Quantifying the osteocyte network in the human skeleton. , 2015, Bone.

[54]  R Huiskes,et al.  If bone is the answer, then what is the question? , 2000, Journal of anatomy.

[55]  Wilhelm Roux,et al.  Der Kampf der Theile im Organismus. Ein Beitrag zur vervollständigung der mechanischen Zweckmässigkeitslehre, von Wilhelm Roux. , 1881 .

[56]  Ted J. Vaughan,et al.  Are all osteocytes equal? Multiscale modelling of cortical bone to characterise the mechanical stimulation of osteocytes , 2013, International journal for numerical methods in biomedical engineering.

[57]  Glen L Niebur,et al.  Pressure and shear stress in trabecular bone marrow during whole bone loading. , 2015, Journal of biomechanics.

[58]  M. Long,et al.  Mechanomics: an emerging field between biology and biomechanics , 2014, Protein & Cell.

[59]  Yoshitaka Kameo,et al.  Interstitial fluid flow in canaliculi as a mechanical stimulus for cancellous bone remodeling: in silico validation , 2013, Biomechanics and Modeling in Mechanobiology.

[60]  R Müller,et al.  Longitudinal in vivo imaging of bone formation and resorption using fluorescence molecular tomography. , 2013, Bone.

[61]  Pablo A Iglesias,et al.  Molecular Mechanisms of Cellular Mechanosensing , 2013, Nature materials.

[62]  C. Hernandez,et al.  Spatial relationships between bone formation and mechanical stress within cancellous bone. , 2016, Journal of biomechanics.

[63]  P. Pankaj,et al.  Time Dependent Behaviour of Trabecular Bone at Multiple Load Levels , 2017, Annals of Biomedical Engineering.

[64]  Ahmet Erdemir,et al.  Considerations for reporting finite element analysis studies in biomechanics. , 2012, Journal of biomechanics.

[65]  Yoshitaka Kameo,et al.  Modeling trabecular bone adaptation to local bending load regulated by mechanosensing osteocytes , 2014, Acta Mechanica.

[66]  P. R. Buenzli,et al.  A multiscale mechanobiological model of bone remodelling predicts site-specific bone loss in the femur during osteoporosis and mechanical disuse , 2015, Biomechanics and modeling in mechanobiology.

[67]  Ralph Müller,et al.  A novel in vivo mouse model for mechanically stimulated bone adaptation – a combined experimental and computational validation study , 2008, Computer methods in biomechanics and biomedical engineering.

[68]  J. Tavares,et al.  A theory for bone resorption based on the local rupture of osteocytes cells connections: A finite element study. , 2015, Mathematical biosciences.

[69]  Iwona M Jasiuk,et al.  Micromechanics of Bone Modeled as a Composite Material , 2018 .

[70]  Ralph Müller,et al.  Trabecular bone adapts to long-term cyclic loading by increasing stiffness and normalization of dynamic morphometric rates. , 2013, Bone.

[71]  P. Pankaj,et al.  Nonlinear viscoelastic characterization of bovine trabecular bone , 2016, Biomechanics and Modeling in Mechanobiology.

[72]  Liping Wang,et al.  Strain Amplification Analysis of an Osteocyte under Static and Cyclic Loading: A Finite Element Study , 2015, BioMed research international.

[73]  Erin N. Cresswell,et al.  Mechanically induced bone formation is not sensitive to local osteocyte density in rat vertebral cancellous bone , 2017, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[74]  S. J. Shefelbine,et al.  Predicting cortical bone adaptation to axial loading in the mouse tibia , 2015, Journal of The Royal Society Interface.