Skip to content.
Bibliography
-
[1]
Abaqus
Damage evolution and element removal for ductile metals (documentation).
External Links: Link
Cited by: §12.2.3.
-
[2]
H. Abboud, C. A. Kosseifi, and J. Chehab (2019-03)
A stabilized bi-grid method for allen–cahn equation in finite elements.
Computational and Applied Mathematics 38 (2).
External Links: Document
Cited by: §6.5.1,
§6.5.1,
§6.5.1.
-
[3]
M. Abdalla, A. Joplin, M. Elahinia, and H. Ibrahim (2020-07)
Corrosion modeling of magnesium and its alloys for biomedical applications: review.
Corrosion and Materials Degradation 1 (2), pp. 219–248.
External Links: Document
Cited by: §13.2.1,
§3.5.
-
[4]
N. I. Z. Abidin, B. Rolfe, H. Owen, J. Malisano, D. Martin, J. Hofstetter, P. J. Uggowitzer, and A. Atrens (2013-10)
The in vivo and in vitro corrosion of high-purity magnesium and magnesium alloys WZ21 and AZ91.
Corrosion Science 75, pp. 354–366.
External Links: Document
Cited by: §1.3,
§7.3.4.
-
[5]
S. Agarwal, J. Curtin, B. Duffy, and S. Jaiswal (2016-11)
Biodegradable magnesium alloys for orthopaedic applications: a review on corrosion, biocompatibility and surface modifications.
Materials Science and Engineering: C 68, pp. 948–963.
External Links: Document
Cited by: §10.2.2,
§12.2.3.
-
[6]
N. A. Agha, F. Feyerabend, B. Mihailova, S. Heidrich, U. Bismayer, and R. Willumeit-Römer (2016-01)
Magnesium degradation influenced by buffering salts in concentrations typical of in vitro and in vivo models.
Materials Science and Engineering: C 58, pp. 817–825.
External Links: Document
Cited by: §5.1.
-
[7]
S. Ahmed, J. Ward, and Y. Liu (2017-12)
Numerical modelling of effects of biphasic layers of corrosion products to the degradation of magnesium metal in vitro.
Materials 11 (1), pp. 1.
External Links: Document
Cited by: §1.4,
Table 1.2,
§3.1.2.
-
[8]
J. Ahrens, B. Geveci, and C. Law (2005)
Paraview: an end-user tool for large data visualization.
The visualization handbook 717.
Cited by: §7.3.2,
§8.3.2.
-
[9]
B. Akinbami (2011-07)
Assessment and determination of human mandibular and dental arch profiles in subjects with lower third molar impaction in port harcourt, nigeria.
Annals of maxillofacial surgery 1, pp. 126–130.
External Links: Document
Cited by: §12.2.4.
-
[10]
T. Albaraghtheh, R. Willumeit-Römer, and B. Zeller-Plumhoff (2022-11)
In silico studies of magnesium-based implants: a review of the current stage and challenges.
Journal of Magnesium and Alloys 10 (11), pp. 2968–2996.
External Links: Document
Cited by: §1.4,
§13.2.2,
§13.3.3.
-
[11]
M. A. Alias and P. R. Buenzli (2017-01)
Modeling the effect of curvature on the collective behavior of cells growing new tissue.
Biophysical Journal 112 (1), pp. 193–204.
External Links: Document
Cited by: §6.7.
-
[12]
J.A. Alierta, M.A. Pérez, and J. M. Garcia Aznar (2013-10)
An interface finite element model can be used to predict healing outcome of bone fractures.
Journal of the mechanical behavior of biomedical materials 29C, pp. 328–338.
External Links: Document
Cited by: §12.1.
-
[13]
G. M. Amdahl (1967)
Validity of the single processor approach to achieving large scale computing capabilities.
In Proceedings of the April 18-20, 1967, spring joint computer conference on - AFIPS’ 67 (Spring),
External Links: Document
Cited by: §7.3.5.
-
[14]
P. R. Amestoy, I. S. Duff, J. Koster, and J.-Y. L’Excellent (2001)
A fully asynchronous multifrontal solver using distributed dynamic scheduling.
SIAM Journal on Matrix Analysis and Applications 23 (1), pp. 15–41.
External Links: Document
Cited by: §7.3.2.
-
[15]
D. M. Anderson, G. B. McFadden, and A. A. Wheeler (1998-01)
DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS.
Annual Review of Fluid Mechanics 30 (1), pp. 139–165.
External Links: Document
Cited by: §6.1.
-
[16]
A. M. Andrew (2000-01)
LEVEL set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision, and materials science, by j.a. sethian, cambridge university press, cambridge, uk, 2nd edn. 1999 (first published 1996 as level set methods) xviii + 420pp., isbn (paperback) 0-521-64557-3, (hardback) 0-521-64204-3 (pbk, £18.95).
Robotica 18 (1), pp. 89–92.
External Links: ISSN 0263-5747
Cited by: §6.1.
-
[17]
T. Q. Ansari, Z. Xiao, S. Hu, Y. Li, J. Luo, and S. Shi (2018-07)
Phase-field model of pitting corrosion kinetics in metallic materials.
npj Computational Materials 4 (1).
External Links: Document
Cited by: §6.1.
-
[18]
S. N.V. Arjunan, A. Miyauchi, K. Iwamoto, and K. Takahashi (2020-01)
pSpatiocyte: a high-performance simulator for intracellular reaction-diffusion systems.
BMC Bioinformatics 21 (1).
External Links: Document
Cited by: §7.1.
-
[19]
A. Atrens, Z. Shi, S. U. Mehreen, S. Johnston, G. Song, X. Chen, and F. Pan (2020-12)
Review of mg alloy corrosion rates.
Journal of Magnesium and Alloys 8 (4), pp. 989–998.
External Links: Document
Cited by: §5.1.
-
[20]
A. Atrens, G. Song, M. Liu, Z. Shi, F. Cao, and M. S. Dargusch (2015-01)
Review of recent developments in the field of magnesium corrosion.
Advanced Engineering Materials 17 (4), pp. 400–453.
External Links: Document
Cited by: §1.3,
§5.1.
-
[21]
M.A. Badri, P. Jolivet, B. Rousseau, and Y. Favennec (2018-05)
High performance computation of radiative transfer equation using the finite element method.
Journal of Computational Physics 360, pp. 74–92.
External Links: Document
Cited by: §7.3.2.
-
[22]
D. H. Bailey, R. F. Lucas, and S. Williams (Eds.) (2010-11)
Performance tuning of scientific applications.
CRC Press.
External Links: Document
Cited by: §13.2.4.
-
[23]
P. Bajger, J. M. A. Ashbourn, V. Manhas, Y. Guyot, K. Lietaert, and L. Geris (2016-08)
Mathematical modelling of the degradation behaviour of biodegradable metals.
Biomechanics and Modeling in Mechanobiology 16 (1), pp. 227–238.
External Links: Document
Cited by: §1.4,
Table 1.2,
§3.1.2,
§3.1.2,
§3.3.2,
§3.3.5,
§3.3.8,
§3.4.1,
§3.5,
§5.2.2,
§7.1,
§7.2,
§7.3.4,
§8.2,
§8.3.1.
-
[24]
G. Balarac, F. Basile, P. Benard, F. Bordeu, J. Chapelier, L. Cirrottola, G. Caumon, C. Dapogny, P. Frey, A. Froehly, G. Ghigliotti, R. Laraufie, G. Lartigue, C. Legentil, R. Mercier, V. Moureau, C. Nardoni, S. Pertant, and M. Zakari (2021-09)
Tetrahedral Remeshing in the Context of Large-Scale Numerical Simulation and High Performance Computing.
Note: working paper or preprint
External Links: Link
Cited by: §10.2.2.
-
[25]
S. Balay, S. Abhyankar, M. F. Adams, J. Brown, P. Brune, K. Buschelman, L. Dalcin, A. Dener, V. Eijkhout, W. D. Gropp, D. Karpeyev, D. Kaushik, M. G. Knepley, D. A. May, L. C. McInnes, R. T. Mills, T. Munson, K. Rupp, P. Sanan, B. F. Smith, S. Zampini, H. Zhang, and H. Zhang (2019)
PETSc Web page.
Note: https://www.mcs.anl.gov/petsc
External Links: Link
Cited by: §10.2.2,
§3.3.5,
§4.2.5,
§5.2.2,
§6.6,
§7.3.2,
§8.3.3.
-
[26]
W. R. Barfield, G. Colbath, J. D. DesJardins, Y. H. An, and L. A. Hartsock (2012-03)
The potential of magnesium alloy use in orthopaedic surgery.
Current Orthopaedic Practice 23 (2), pp. 146–150.
External Links: Document
Cited by: §1.3.
-
[27]
M. Barzegari and L. Geris (2021-06)
An open source crash course on parameter estimation of computational models using a bayesian optimization approach.
Journal of Open Source Education 4 (40), pp. 89.
External Links: Document
Cited by: §13.2.3.
-
[28]
M. Barzegari and L. Geris (2022)
BioDeg corrosion and biodegradation simulation software: user manual and theory guide.
Zenodo.
External Links: Document,
Link
Cited by: §8.3.5,
§8.3.5.
-
[29]
M. Barzegari and L. Geris (2022-06)
BioDeg: a finite element software for the simulation of the corrosion and biodegradation process in metallic biomaterials.
Journal of Open Source Software 7 (74), pp. 4281.
External Links: Document
Cited by: §13.2.3.
-
[30]
M. Barzegari and L. Geris (2022)
Highly scalable numerical simulation of coupled reaction–diffusion systems with moving interfaces.
The International Journal of High Performance Computing Applications 36 (2), pp. 198–213.
External Links: Document
Cited by: §10.2.2,
§10.3.3,
§12.2.2,
§5.2.2,
§8.1,
§8.3.3,
§8.3.7.
-
[31]
M. Barzegari, D. Mei, S. V. Lamaka, and L. Geris (2021)
Computational modeling of degradation process of biodegradable magnesium biomaterials.
Corrosion Science 190, pp. 109674.
External Links: ISSN 0010-938X,
Document
Cited by: §10.2.2,
§10.3.2,
§10.3.3,
§11.2.2,
§12.2.2,
§12.2.2,
§12.4,
§4.3,
§5.1,
item 1,
§5.2.2,
§5.2.2,
§5.2.3,
§5.4,
§5.4,
§6.8,
§6.8,
§8.1,
§8.2,
§8.3.1,
§8.3.3,
§8.3.7.
-
[32]
C. Beckermann, H. Diepers, I. Steinbach, A. Karma, and X. Tong (1999-09)
Modeling melt convection in phase-field simulations of solidification.
Journal of Computational Physics 154 (2), pp. 468–496.
External Links: Document
Cited by: §6.2.2.
-
[33]
I. Bellemans, N. Moelans, and K. Verbeken (2017-12)
Phase-field modelling in extractive metallurgy.
Critical Reviews in Solid State and Materials Sciences 43 (5), pp. 417–454.
External Links: Document
Cited by: §6.1,
§6.1.
-
[34]
J. Bergstra, D. Yamins, and D. D. Cox (2013)
Making a science of model search: hyperparameter optimization in hundreds of dimensions for vision architectures.
In Proceedings of the 30th International Conference on Machine Learning - Volume 28,
pp. I–115–I–123.
Cited by: §9.1.
-
[35]
D. N. Bhate, A. Kumar, and A. F. Bower (2000-02)
Diffuse interface model for electromigration and stress voiding.
Journal of Applied Physics 87 (4), pp. 1712–1721.
External Links: Document
Cited by: §6.1.
-
[36]
C. M. Bidan, K. P. Kommareddy, M. Rumpler, P. Kollmannsberger, Y. J. M. Bréchet, P. Fratzl, and J. W. C. Dunlop (2012-05)
How linear tension converts to curvature: geometric control of bone tissue growth.
PLoS ONE 7 (5), pp. e36336.
External Links: Document
Cited by: §6.1,
§6.4.
-
[37]
C. M. Bidan, K. P. Kommareddy, M. Rumpler, P. Kollmannsberger, P. Fratzl, and J. W. C. Dunlop (2012-11)
Geometry as a factor for tissue growth: towards shape optimization of tissue engineering scaffolds.
Advanced Healthcare Materials 2 (1), pp. 186–194.
External Links: Document
Cited by: §6.1,
§6.5.2.
-
[38]
E. Birmingham, J. A. Grogan, G. L. Niebur, L. M. McNamara, and P. E. McHugh (2012-12)
Computational modelling of the mechanics of trabecular bone and marrow using fluid structure interaction techniques.
Annals of Biomedical Engineering 41 (4), pp. 814–826.
External Links: Document
Cited by: §11.1.
-
[39]
A. Boccaccio, P. Prendergast, C. Pappalettere, and D. Kelly (2008-04)
Tissue differentiation and bone regeneration in an osteotomized mandible: a computational analysis of the latency period.
Medical & biological engineering & computing 46, pp. 283–98.
External Links: Document
Cited by: §12.1.
-
[40]
W. J. Boettinger, J. A. Warren, C. Beckermann, and A. Karma (2002-08)
Phase-field simulation of solidification.
Annual Review of Materials Research 32 (1), pp. 163–194.
External Links: Document
Cited by: §6.1,
§6.1.
-
[41]
E. L. Boland, J. A. Grogan, and P. E. McHugh (2019-08)
Computational modelling of magnesium stent mechanical performance in a remodelling artery: effects of multiple remodelling stimuli.
International Journal for Numerical Methods in Biomedical Engineering 35 (10).
External Links: Document
Cited by: §1.4,
Table 1.2.
-
[42]
E. L. Boland, R. Shine, N. Kelly, C. A. Sweeney, and P. E. McHugh (2015-08)
A review of material degradation modelling for the analysis and design of bioabsorbable stents.
Annals of Biomedical Engineering 44 (2), pp. 341–356.
External Links: Document
Cited by: §1.4.
-
[43]
D. P. Byrne, D. Lacroix, J. A. Planell, D. J. Kelly, and P. J. Prendergast (2007-12)
Simulation of tissue differentiation in a scaffold as a function of porosity, young's modulus and dissolution rate: application of mechanobiological models in tissue engineering.
Biomaterials 28 (36), pp. 5544–5554.
External Links: Document
Cited by: §6.8.
-
[44]
A. Carlier, L. Geris, K. Bentley, G. Carmeliet, P. Carmeliet, and H. V. Oosterwyck (2012-10)
MOSAIC: a multiscale model of osteogenesis and sprouting angiogenesis with lateral inhibition of endothelial cells.
PLoS Computational Biology 8 (10), pp. e1002724.
External Links: Document
Cited by: §6.8.
-
[45]
A. Carlier, G. A. Skvortsov, F. Hafezi, E. Ferraris, J. Patterson, B. Koç, and H. V. Oosterwyck (2016-05)
Computational model-informed design and bioprinting of cell-patterned constructs for bone tissue engineering.
Biofabrication 8 (2), pp. 025009.
External Links: Document
Cited by: §6.8.
-
[46]
F. Cecchinato, N. A. Agha, A. H. Martinez-Sanchez, B. J. C. Luthringer, F. Feyerabend, R. Jimbo, R. Willumeit-Römer, and A. Wennerberg (2015-11)
Influence of magnesium alloy degradation on undifferentiated human cells.
PLOS ONE 10 (11), pp. e0142117.
External Links: Document
Cited by: Chapter 1.
-
[47]
A. F. Chadwick, J. A. Stewart, R. A. Enrique, S. Du, and K. Thornton (2018)
Numerical modeling of localized corrosion using phase-field and smoothed boundary methods.
Journal of The Electrochemical Society 165 (10), pp. C633–C646.
External Links: Document
Cited by: §6.1.
-
[48]
J. Chen, L. Tan, X. Yu, I. P. Etim, M. Ibrahim, and K. Yang (2018)
Mechanical properties of magnesium alloys for medical application: a review.
Journal of the Mechanical Behavior of Biomedical Materials 87, pp. 68 – 79.
External Links: ISSN 1751-6161,
Document
Cited by: §12.1.
-
[49]
K. Chen, Y. Lu, H. Tang, Y. Gao, F. Zhao, X. Gu, and Y. Fan (2020)
Effect of strain on degradation behaviors of we43, fe and zn wires.
Acta Biomaterialia 113, pp. 627 – 645.
External Links: ISSN 1742-7061,
Document
Cited by: Figure 12.1,
§12.1,
§12.1.
-
[50]
L. Chen and W. Yang (1994-12)
Computer simulation of the domain dynamics of a quenched system with a large number of nonconserved order parameters: the grain-growth kinetics.
Physical Review B 50 (21), pp. 15752–15756.
External Links: Document
Cited by: §6.1.
-
[51]
L. Chen (2002-08)
Phase-field models for microstructure evolution.
Annual Review of Materials Research 32 (1), pp. 113–140.
External Links: Document
Cited by: §6.1.
-
[52]
O. Chen, S. Kalyuga, and J. Sweller (2015)
The worked example effect, the generation effect, and element interactivity.
Journal of Educational Psychology 107 (3), pp. 689–704.
External Links: Document
Cited by: §9.5.
-
[53]
W. Chen and E. D. Schutter (2017-02)
Parallel STEPS: large scale stochastic spatial reaction-diffusion simulation with high performance computers.
Frontiers in Neuroinformatics 11.
External Links: Document
Cited by: §7.1.
-
[54]
Y. Chen, S. Zhang, J. Li, Y. Song, C. Zhao, and X. Zhang (2010-09)
Dynamic degradation behavior of MgZn alloy in circulating m-SBF.
Materials Letters 64 (18), pp. 1996–1999.
External Links: Document
Cited by: §4.1.
-
[55]
Y. Chen, Z. Xu, C. Smith, and J. Sankar (2014-11)
Recent advances on the development of magnesium alloys for biodegradable implants.
Acta Biomaterialia 10 (11), pp. 4561–4573.
External Links: Document
Cited by: §3.1.1,
§5.1,
§7.1,
§8.2.
-
[56]
G. Chourdakis, K. Davis, B. Rodenberg, M. Schulte, F. Simonis, B. Uekermann, G. Abrams, H. Bungartz, L. Cheung Yau, I. Desai, K. Eder, R. Hertrich, F. Lindner, A. Rusch, D. Sashko, D. Schneider, A. Totounferoush, D. Volland, P. Vollmer, and O. Koseomur (2022)
preCICE v2: a sustainable and user-friendly coupling library [version 1; peer review: 2 approved].
Open Research Europe 2 (51).
External Links: Document,
Link
Cited by: §4.4.
-
[57]
T. J. Chung (2014-07-25)
Computational fluid dynamics.
Cambridge University Press.
External Links: ISBN 0521769698,
Link
Cited by: §4.2.1.
-
[58]
P. V. Coveney, D. Groen, and A. G. Hoekstra (2021-03)
Reliability and reproducibility in computational science: implementing validation, verification and uncertainty quantification in silico.
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379 (2197).
External Links: Document
Cited by: §13.3.3.
-
[59]
J. Crank (1987-02-05)
Free and moving boundary problems.
OUP Oxford.
External Links: ISBN 0198533705
Cited by: §3.2.2,
§3.2.2,
§7.1.
-
[60]
E. Crubzy, P. Murail, L. Girard, and J. Bernadou (1998-01)
False teeth of the roman world.
Nature 391 (6662), pp. 29–29.
External Links: Document
Cited by: §1.1.
-
[61]
L. Cui, Y. Hu, R. Zeng, Y. Yang, D. Sun, S. Li, F. Zhang, and E. Han (2017-09)
New insights into the effect of tris-HCl and tris on corrosion of magnesium alloy in presence of bicarbonate, sulfate, hydrogen phosphate and dihydrogen phosphate ions.
Journal of Materials Science & Technology 33 (9), pp. 971–986.
External Links: Document
Cited by: §5.1.
-
[62]
H. A. Daas, L. Grigori, P. Jolivet, and P. Tournier (2019)
A multilevel schwarz preconditioner based on a hierarchy of robust coarse spaces.
Cited by: §7.3.2,
§7.5.
-
[63]
C. Dapogny, C. Dobrzynski, and P. Frey (2014)
Three-dimensional adaptive domain remeshing, implicit domain meshing, and applications to free and moving boundary problems.
Journal of Computational Physics.
External Links: Link,
Document
Cited by: §10.2.2,
§8.3.2.
-
[64]
E. M. Darling and F. Guilak (2008-09)
A neural network model for cell classification based on single-cell biomechanical properties.
Tissue Engineering Part A 14 (9), pp. 1507–1515.
External Links: Document
Cited by: §6.6.
-
[65]
F. de Vuyst (2013-09)
Numerical modeling of transport problems using freefem++ software – with examples in biology, CFD, traffic flow and energy transfer.
Master, ENS CACHAN.
Note: Lecture
External Links: Link
Cited by: §4.2.4.
-
[66]
M. Dehghan (2001)
An inverse problem of finding a source parameter in a semilinear parabolic equation.
Applied Mathematical Modelling 25 (9), pp. 743–754.
External Links: Document
Cited by: §9.1.
-
[67]
K. B. Deshpande (2011-01)
Numerical modeling of micro-galvanic corrosion.
Electrochimica Acta 56 (4), pp. 1737–1745.
External Links: Document
Cited by: §3.5.
-
[68]
V. Dolean, P. Jolivet, and F. Nataf (2015)
An introduction to domain decomposition methods.
edition, Society for Industrial and Applied Mathematics, Philadelphia, PA.
External Links: Document,
Link,
https://epubs.siam.org/doi/pdf/10.1137/1.9781611974065
Cited by: §7.3.2,
§7.3.2,
§8.3.3.
-
[69]
O. Dolgikh, H. Simillion, S. V. Lamaka, A. C. Bastos, H. B. Xue, M. G. Taryba, A. R. Oliveira, C. Allély, B. V. D. Bossche, K. V. D. Bergh, J. D. Strycker, and J. Deconinck (2019-01)
Corrosion protection of steel cut-edges by hot-dip galvanized al(zn,mg) coatings in 1 wt% NaCl: part II. numerical simulations.
Materials and Corrosion 70 (5), pp. 780–792.
External Links: Document
Cited by: §3.5,
§5.1,
§8.2,
§8.2,
§8.3.1.
-
[70]
R. Duddu (2014-04)
Numerical modeling of corrosion pit propagation using the combined extended finite element and level set method.
Computational Mechanics 54 (3), pp. 613–627.
External Links: Document
Cited by: §7.1.
-
[71]
K. D. Efird (2011-04)
Flow effects on corrosion.
In Uhlig's Corrosion Handbook,
pp. 203–213.
External Links: Document
Cited by: §4.1.
-
[72]
R. J. Elin (1988-04)
Magnesium metabolism in health and disease.
Disease-a-Month 34 (4), pp. 166–218.
External Links: Document
Cited by: §1.2.
-
[73]
C. M. Elliott (1989)
The cahn-hilliard model for the kinetics of phase separation.
In Mathematical Models for Phase Change Problems,
pp. 35–73.
External Links: Document
Cited by: §6.5.1.
-
[74]
H. Elman, D. Silvester, and A. Wathen (2014-06)
Finite elements and fast iterative solvers with applications in incompressible fluid dynamics.
Oxford University PressOxford.
External Links: Document
Cited by: §4.2.4.
-
[75]
R. Erbel, C. D. Mario, J. Bartunek, J. Bonnier, B. de Bruyne, F. R. Eberli, P. Erne, M. Haude, B. Heublein, M. Horrigan, C. Ilsley, D. Böse, J. Koolen, T. F. Lüscher, N. Weissman, and R. Waksman (2007-06)
Temporary scaffolding of coronary arteries with bioabsorbable magnesium stents: a prospective, non-randomised multicentre trial.
The Lancet 369 (9576), pp. 1869–1875.
External Links: Document
Cited by: §1.2.
-
[76]
G. Eriksson (1979-12)
An algorithm for the computation of aqueous multi-component, multiphase equilibria.
Analytica Chimica Acta 112 (4), pp. 375–383.
External Links: Document
Cited by: §5.2.2.
-
[77]
M. Esmaily, J.E. Svensson, S. Fajardo, N. Birbilis, G.S. Frankel, S. Virtanen, R. Arrabal, S. Thomas, and L.G. Johansson (2017-08)
Fundamentals and advances in magnesium alloy corrosion.
Progress in Materials Science 89, pp. 92–193.
External Links: Document
Cited by: Chapter 1,
§5.1.
-
[78]
R. D. Falgout and U. M. Yang (2002)
Hypre: a library of high performance preconditioners.
In Lecture Notes in Computer Science,
pp. 632–641.
External Links: Document
Cited by: §10.2.2,
§3.3.5,
§5.2.2,
§6.6,
§7.3.2.
-
[79]
S. K. Fenster and A. C. Ugural (2019-08)
Advanced mechanics of materials and applied elasticity.
External Links: ISBN 9780134859378
Cited by: Appendix 12.B,
§12.2.4.
-
[80]
K. G. (1972)
The relationship between stochastic and deterministic models for chemical reactions.
The Journal of Chemical Physics 57 (7), pp. 2976–2978.
External Links: Document
Cited by: §8.3.1.
-
[81]
Y. Gao, L. Wang, and Y. Fan (2022)
Biomechanics of magnesium-based implant during tissue repair.
In Biomechanics of Injury and Prevention,
pp. 335–361.
External Links: Document
Cited by: §1.1,
§1.2,
§1.2,
Chapter 1.
-
[82]
Y. Gao, L. Wang, X. Gu, Z. Chu, M. Guo, and Y. Fan (2018-06)
A quantitative study on magnesium alloy stent biodegradation.
Journal of Biomechanics 74, pp. 98–105.
External Links: Document
Cited by: §1.4,
Table 1.2,
§3.1.2,
§7.1.
-
[83]
H. M. Garcia-Garcia, M. Haude, K. Kuku, A. Hideo-Kajita, H. Ince, A. Abizaid, R. Tölg, P. A. Lemos, C. von Birgelen, E. H. Christiansen, W. Wijns, J. Escaned, J. Dijkstra, and R. Waksman (2018-03)
In vivo serial invasive imaging of the second-generation drug-eluting absorbable metal scaffold (magmaris — DREAMS 2g) in de novo coronary lesions: insights from the BIOSOLVE-II first-in-man trial.
International Journal of Cardiology 255, pp. 22–28.
External Links: Document
Cited by: §1.2.
-
[84]
A. Gartzke, S. Julmi, C. Klose, A. Waselau, A. Meyer-Lindenberg, H. J. Maier, S. Besdo, and P. Wriggers (2020-01)
A simulation model for the degradation of magnesium-based bone implants.
Journal of the Mechanical Behavior of Biomedical Materials 101, pp. 103411.
External Links: Document
Cited by: §1.4,
Table 1.2,
§3.1.2.
-
[85]
G. Gasior, J. Szczepanski, and A. Radtke (2021-06)
Biodegradable iron-based materials—what was done and what more can be done?.
Materials 14 (12), pp. 3381.
External Links: Document
Cited by: §1.1.
-
[86]
D. Gastaldi, V. Sassi, L. Petrini, M. Vedani, S. Trasatti, and F. Migliavacca (2011-04)
Continuum damage model for bioresorbable magnesium alloy devices — application to coronary stents.
Journal of the Mechanical Behavior of Biomedical Materials 4 (3), pp. 352–365.
External Links: Document
Cited by: §1.4,
Table 1.2,
§3.1.2,
§7.1,
§8.2.
-
[87]
C. Geuzaine and J. Remacle (2009-05)
Gmsh: a 3-d finite element mesh generator with built-in pre- and post-processing facilities.
International Journal for Numerical Methods in Engineering 79 (11), pp. 1309–1331.
External Links: Document
Cited by: §10.2.2.
-
[88]
A. Ghai, C. Lu, and X. Jiao (2018-10)
A comparison of preconditioned krylov subspace methods for large-scale nonsymmetric linear systems.
Numerical Linear Algebra with Applications 26 (1), pp. e2215.
External Links: Document
Cited by: §7.5.
-
[89]
V. Girault and P. Raviart (1979)
Finite element approximation of the navier-stokes equations.
Springer Berlin Heidelberg.
External Links: Document
Cited by: §4.2.4.
-
[90]
S.V. Gnedenkov, S.L. Sinebryukhov, V.S. Egorkin, D.V. Mashtalyar, I.E. Vyaliy, K.V. Nadaraia, I.M. Imshinetskiy, A.I. Nikitin, E.P. Subbotin, and A.S. Gnedenkov (2019-11)
Magnesium fabricated using additive technology: specificity of corrosion and protection.
Journal of Alloys and Compounds 808, pp. 151629.
External Links: Document
Cited by: §5.4.
-
[91]
S. Goedecker and A. Hoisie (2001)
Performance optimization of numerically intensive codes (software, environments and tools).
Society for Industrial Mathematics.
External Links: ISBN 9780898714845
Cited by: §13.2.4.
-
[92]
J. Gonzalez, S. V. Lamaka, D. Mei, N. Scharnagl, F. Feyerabend, M. L. Zheludkevich, and R. Willumeit-Römer (2021-05)
Mg biodegradation mechanism deduced from the local surface environment under simulated physiological conditions.
Advanced Healthcare Materials 10 (13), pp. 2100053.
External Links: Document
Cited by: §5.1,
item 1,
item 2,
§5.4,
§5.4,
§5.4.
-
[93]
J. S. H. Graham C. Hill (2001-07-23)
Chemistry in context - laboratory manual.
Oxford University Press.
External Links: ISBN 0174483074
Cited by: §3.3.8.
-
[94]
P. Grathwohl (1998)
Diffusion in natural porous media: contaminant transport, sorption/desorption and dissolution kinetics.
Springer US.
External Links: Document
Cited by: §3.3.2.
-
[95]
W. L. Grayson, D. Marolt, S. Bhumiratana, M. Fröhlich, X. E. Guo, and G. Vunjak-Novakovic (2010-12)
Optimizing the medium perfusion rate in bone tissue engineering bioreactors.
Biotechnology and Bioengineering 108 (5), pp. 1159–1170.
External Links: Document
Cited by: §4.1.
-
[96]
P. Grindrod (1996)
The theory and applications of reaction-diffusion equations : patterns and waves.
Oxford University Press.
Cited by: §3.2.1,
§7.1,
§7.2.2,
§9.1.
-
[97]
D. Groen, H. Arabnejad, V. Jancauskas, W. N. Edeling, F. Jansson, R. A. Richardson, J. Lakhlili, L. Veen, B. Bosak, P. Kopta, D. W. Wright, N. Monnier, P. Karlshoefer, D. Suleimenova, R. Sinclair, M. Vassaux, A. Nikishova, M. Bieniek, O. O. Luk, M. Kulczewski, E. Raffin, D. Crommelin, O. Hoenen, D. P. Coster, T. Piontek, and P. V. Coveney (2021-03)
VECMAtk: a scalable verification, validation and uncertainty quantification toolkit for scientific simulations.
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 379 (2197).
External Links: Document
Cited by: §13.3.3.
-
[98]
J.A. Grogan, S.B. Leen, and P.E. McHugh (2014-05)
A physical corrosion model for bioabsorbable metal stents.
Acta Biomaterialia 10 (5), pp. 2313–2322.
External Links: Document
Cited by: §1.4,
Table 1.2,
§3.1.2,
§3.2.2,
§3.5,
§3.5,
§7.1,
§8.2.
-
[99]
X. Gu, Y. Zheng, Y. Cheng, S. Zhong, and T. Xi (2009-02)
In vitro corrosion and biocompatibility of binary magnesium alloys.
Biomaterials 30 (4), pp. 484–498.
External Links: Document
Cited by: §1.3.
-
[100]
J. L. Gustafson (1988-05)
Reevaluating amdahl’s law.
Communications of the ACM 31 (5), pp. 532–533.
External Links: Document
Cited by: §7.3.5.
-
[101]
Y. Guyot, I. Papantoniou, Y. C. Chai, S. V. Bael, J. Schrooten, and L. Geris (2014-04)
A computational model for cell/ECM growth on 3d surfaces using the level set method: a bone tissue engineering case study.
Biomechanics and Modeling in Mechanobiology 13 (6), pp. 1361–1371.
External Links: Document
Cited by: §6.5.2,
§6.5.2.
-
[102]
Y. Guyot, I. Papantoniou, F. P. Luyten, and L. Geris (2016-01)
Coupling curvature-dependent and shear stress-stimulated neotissue growth in dynamic bioreactor cultures: a 3d computational model of a complete scaffold.
Biomechanics and Modeling in Mechanobiology 15 (1), pp. 169–180.
External Links: Document
Cited by: §4.2.6.
-
[103]
W. M. H. Versteeg (2007-02-06)
Introduction to computational fluid dynamics, an.
Pearson Education (US).
External Links: ISBN 0131274988,
Link
Cited by: §4.1.
-
[104]
G. J. Habetler and E. L. Wachspress (1961)
Symmetric successive overrelaxation in solving diffusion difference equations.
Mathematics of Computation, pp. 356–362.
Cited by: §7.3.2.
-
[105]
B. Hadzima, M. Mhaede, and F. Pastorek (2014-01)
Electrochemical characteristics of calcium-phosphatized AZ31 magnesium alloy in 0.9 % NaCl solution.
Journal of Materials Science: Materials in Medicine 25 (5), pp. 1227–1237.
External Links: Document
Cited by: §1.3.
-
[106]
G. Hager (2011)
Introduction to high performance computing for scientists and engineers.
CRC Press.
External Links: ISBN 9781439811924
Cited by: §13.2.4.
-
[107]
M. J. Hallock, J. E. Stone, E. Roberts, C. Fry, and Z. Luthey-Schulten (2014-05)
Simulation of reaction diffusion processes over biologically relevant size and time scales using multi-GPU workstations.
Parallel Computing 40 (5-6), pp. 86–99.
External Links: Document
Cited by: §7.1.
-
[108]
H. Han, I. Jun, H. Seok, K. Lee, K. Lee, F. Witte, D. Mantovani, Y. Kim, S. Glyn-Jones, and J. R. Edwards (2020-06)
Biodegradable magnesium alloys promote angio-osteogenesis to enhance bone repair.
Advanced Science 7 (15), pp. 2000800.
External Links: Document
Cited by: §1.1.
-
[109]
H. Han, S. Loffredo, I. Jun, J. Edwards, Y. Kim, H. Seok, F. Witte, D. Mantovani, and S. Glyn-Jones (2019)
Current status and outlook on the clinical translation of biodegradable metals.
Materials Today 23, pp. 57 – 71.
External Links: ISSN 1369-7021,
Document
Cited by: §12.1.
-
[110]
H. Han, S. Loffredo, I. Jun, J. Edwards, Y. Kim, H. Seok, F. Witte, D. Mantovani, and S. Glyn-Jones (2019-03)
Current status and outlook on the clinical translation of biodegradable metals.
Materials Today 23, pp. 57–71.
External Links: Document
Cited by: Figure 1.1,
§1.2,
Chapter 1.
-
[111]
A. M. Hassan and M. El-Shenawee (2011-07)
Parallel implementation of the diffusion–drift algorithm for modeling the electrophysiological activity of breast tumors.
Journal of Parallel and Distributed Computing 71 (7), pp. 1011–1023.
External Links: Document
Cited by: §7.5.
-
[112]
F. Hecht (2012)
New development in freefem++.
J. Numer. Math. 20 (3-4), pp. 251–265.
External Links: ISSN 1570-2820,
Document,
Link,
MathReview Entry
Cited by: §10.2.2,
§11.A.2,
§12.2.2,
§3.3.5,
§4.2.4,
§5.2.2,
§6.6,
§7.3.2,
§8.3.2.
-
[113]
D. V. hede, B. Liang, S. Anania, M. Barzegari, B. Verlée, G. Nolens, J. Pirson, L. Geris, and F. Lambert (2021-10)
3D-printed synthetic hydroxyapatite scaffold with in silico optimized macrostructure enhances bone formation in vivo.
Advanced Functional Materials 32 (6), pp. 2105002.
External Links: Document
Cited by: §10.3.1,
§6.5.2,
§6.7.
-
[114]
H. Henry and H. Levine (2004-09)
Dynamic instabilities of fracture under biaxial strain using a phase field model.
Physical Review Letters 93 (10).
External Links: Document
Cited by: §6.1.
-
[115]
M. R. Hestenes, E. Stiefel, et al. (1952)
Methods of conjugate gradients for solving linear systems.
Journal of research of the National Bureau of Standards 49 (6), pp. 409–436.
Cited by: §7.3.2.
-
[116]
B. Heublein (2003-06)
Biocorrosion of magnesium alloys: a new principle in cardiovascular implant technology?.
Heart 89 (6), pp. 651–656.
External Links: Document
Cited by: Chapter 1.
-
[117]
S. Hiromoto, A. Yamamoto, N. Maruyama, H. Somekawa, and T. Mukai (2008-12)
Influence of pH and flow on the polarisation behaviour of pure magnesium in borate buffer solutions.
Corrosion Science 50 (12), pp. 3561–3568.
External Links: Document
Cited by: §4.1,
§4.1.
-
[118]
H. Histology(Website)
External Links: Link
Cited by: §12.2.4.
-
[119]
D. Höche (2014)
Simulation of corrosion product deposit layer growth on bare magnesium galvanically coupled to aluminum.
Journal of The Electrochemical Society 162 (1), pp. C1–C11.
External Links: Document
Cited by: §5.1,
§8.2.
-
[120]
D. Höche (2014-11)
Simulation of corrosion product deposit layer growth on bare magnesium galvanically coupled to aluminum.
Journal of The Electrochemical Society 162 (1), pp. C1–C11.
External Links: Document
Cited by: §3.3.2.
-
[121]
S. J. Hollister (2005-07)
Porous scaffold design for tissue engineering.
Nature Materials 4 (7), pp. 518–524.
External Links: Document
Cited by: §10.3.1.
-
[122]
Md. S. Hossain, X. B. Chen, and D. J. Bergstrom (2012-11)
Investigation of the in vitro culture process for skeletal-tissue-engineered constructs using computational fluid dynamics and experimental methods.
Journal of Biomechanical Engineering 134 (12).
External Links: Document
Cited by: §4.1.
-
[123]
S. Huang, B. Wang, X. Zhang, F. Lu, Z. Wang, S. Tian, D. Li, J. Yang, F. Cao, L. Cheng, Z. Gao, Y. Li, K. Qin, and D. Zhao (2020-04)
High-purity weight-bearing magnesium screw: translational application in the healing of femoral neck fracture.
Biomaterials 238, pp. 119829.
External Links: Document
Cited by: §1.2.
-
[124]
D. W. Hutmacher and H. Singh (2008-04)
Computational fluid dynamics for improved bioreactor design and 3d culture.
Trends in Biotechnology 26 (4), pp. 166–172.
External Links: Document
Cited by: §4.1.
-
[125]
N. Ikeo, R. Nakamura, K. Naka, T. Hashimoto, T. Yoshida, T. Urade, K. Fukushima, H. Yabuuchi, T. Fukumoto, Y. Ku, and T. Mukai (2016-01)
Fabrication of a magnesium alloy with excellent ductility for biodegradable clips.
Acta Biomaterialia 29, pp. 468–476.
External Links: Document
Cited by: §1.2.
-
[126]
A. Imanian and M. Amiri (2018)
Phase field modeling of galvanic corrosion.
arXiv.
External Links: Document
Cited by: §6.1.
-
[127]
T. Imwinkelried, S. Beck, and B. Schaller (2020-03)
Pre-clinical testing of human size magnesium implants in miniature pigs: implant degradation and bone fracture healing at multiple implantation sites.
Materials Science and Engineering: C 108, pp. 110389.
External Links: Document
Cited by: §12.4,
§12.4.
-
[128]
Dr. B. M. R. D. in Department of Oral, M. S. N. P. D. College, and H. Visnagar
Mandible fractures.
External Links: Link
Cited by: §12.1,
§12.2.4.
-
[129]
A. Inc.
ABAQUS/explicit: advanced topics.
External Links: Link
Cited by: §12.2.3.
-
[130]
N. Ingri, W. Kakolowicz, L. G. Sillén, and B. Warnqvist (1967-11)
High-speed computers as a supplement to graphical methods—v1haltafall, a general program for calculating the composition of equilibrium mixtures.
Talanta 14 (11), pp. 1261–1286.
External Links: Document
Cited by: §5.2.2.
-
[131]
I. C. F. Ipsen and C. D. Meyer (1998-12)
The idea behind krylov methods.
The American Mathematical Monthly 105 (10), pp. 889–899.
External Links: Document
Cited by: §7.3.2.
-
[132]
H. Isaksson, C. van Donkelaar, and K. Ito (2009-03)
Sensitivity of tissue differentiation and bone healing predictions to tissue properties.
Journal of biomechanics 42, pp. 555–64.
External Links: Document
Cited by: §12.2.4.
-
[133]
M. Islam (2018-05)
How to perform element deletion in abaqus using ductile damage criteria?.
Cited by: §12.2.3.
-
[134]
K. Jafarzadeh, T. Shahrabi, and A. A. Oskouei (2009-03)
Novel approach using EIS to study flow accelerated pitting corrosion of AA5083-h321 aluminum–magnesium alloy in NaCl solution.
Journal of Applied Electrochemistry 39 (10), pp. 1725–1731.
External Links: Document
Cited by: §4.1.
-
[135]
D. Jeong and J. Kim (2017-07)
Phase-field model and its splitting numerical scheme for tissue growth.
Applied Numerical Mathematics 117, pp. 22–35.
External Links: Document
Cited by: §6.1.
-
[136]
P. Jiang, C. Blawert, N. Scharnagl, and M. L. Zheludkevich (2019-06)
Influence of water purity on the corrosion behavior of mg0.5znx (x=ca, ge) alloys.
Corrosion Science 153, pp. 62–73.
External Links: Document
Cited by: §5.1.
-
[137]
S. Johnston, M. Dargusch, and A. Atrens (2017-12)
Building towards a standardised approach to biocorrosion studies: a review of factors influencing mg corrosion in vitro pertinent to in vivo corrosion.
Science China Materials 61 (4), pp. 475–500.
External Links: Document
Cited by: §1.3,
§1.3,
§5.1.
-
[138]
S. Johnston, Z. Shi, and A. Atrens (2015-12)
The influence of pH on the corrosion rate of high-purity mg, AZ91 and ZE41 in bicarbonate buffered hanks’ solution.
Corrosion Science 101, pp. 182–192.
External Links: Document
Cited by: §1.3.
-
[139]
S. Johnston, Z. Shi, J. Venezuela, C. Wen, M. S. Dargusch, and A. Atrens (2019-01)
Investigating mg biocorrosion in vitro: lessons learned and recommendations.
JOM 71 (4), pp. 1406–1413.
External Links: Document
Cited by: §1.3.
-
[140]
P. Jolivet, F. Hecht, F. Nataf, and C. Prud’homme (2013)
Scalable domain decomposition preconditioners for heterogeneous elliptic problems.
In Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis,
SC ’13, New York, NY, USA.
External Links: ISBN 9781450323789,
Link,
Document
Cited by: §10.2.2,
§3.3.5,
§4.2.5,
§5.2.2,
§6.6,
§7.3.2.
-
[141]
M. K., S. M.P., and M. K. (2020)
Stent thrombosis.
Treasure Island (FL), StatPearls Publishing.
External Links: Link
Cited by: §12.1.
-
[142]
M. B. Kannan, H. Khakbaz, and A. Yamamoto (2017-08)
Understanding the influence of HEPES buffer concentration on the biodegradation of pure magnesium: an electrochemical study.
Materials Chemistry and Physics 197, pp. 47–56.
External Links: Document
Cited by: §5.1.
-
[143]
A. Karma and W. Rappel (1998-04)
Quantitative phase-field modeling of dendritic growth in two and three dimensions.
Physical Review E 57 (4), pp. 4323–4349.
External Links: Document
Cited by: §6.1.
-
[144]
G. Karypis and V. Kumar (1998-12)
A fast and high quality multilevel scheme for partitioning irregular graphs.
SIAM J. Sci. Comput. 20 (1), pp. 359–392.
External Links: ISSN 1064-8275
Cited by: §10.2.2,
§4.2.5,
§6.6,
§7.3.2.
-
[145]
A. Katranji, K. Misch, and H. Wang (2007-06)
Cortical bone thickness in dentate and edentulous human cadavers.
Journal of periodontology 78, pp. 874–8.
External Links: Document
Cited by: §12.2.4.
-
[146]
A. Kawamoto, T. Matsumori, S. Yamasaki, T. Nomura, T. Kondoh, and S. Nishiwaki (2011)
Heaviside projection based topology optimization by a pde-filtered scalar function.
Structural and Multidisciplinary Optimization 44 (1), pp. 19–24.
Cited by: §11.A.2.
-
[147]
B. E. Kendall, C. J. Briggs, W. W. Murdoch, P. Turchin, S. P. Ellner, E. McCauley, R. M. Nisbet, and S. N. Wood (1999-09)
WHY DO POPULATIONS CYCLE? a SYNTHESIS OF STATISTICAL AND MECHANISTIC MODELING APPROACHES.
Ecology 80 (6), pp. 1789–1805.
External Links: Document
Cited by: §7.1.
-
[148]
N.T. Kirkland, N. Birbilis, and M.P. Staiger (2012-03)
Assessing the corrosion of biodegradable magnesium implants: a critical review of current methodologies and their limitations.
Acta Biomaterialia 8 (3), pp. 925–936.
External Links: Document
Cited by: §5.1.
-
[149]
C. Köhn, D. van Laethem, J. Deconinck, and A. Hubin (2021)
A simulation study of steric effects on the anodic dissolution at high current densities.
Materials and Corrosion 72 (4), pp. 610–619.
External Links: Document,
Link,
https://onlinelibrary.wiley.com/doi/pdf/10.1002/maco.202012051
Cited by: §8.2.
-
[150]
T. Korioth, D. Romilly, and A. Hannam (1992)
Three-dimensional finite element stress analysis of the dentate human mandible..
American journal of physical anthropology 88 1, pp. 69–96.
Cited by: §12.2.4.
-
[151]
L. Kumar, A. Haleem, and Mohd. Javaid (2021-12)
Impact of three dimensional printing in orthopedics.
Global Health Journal 5 (4), pp. 178–182.
External Links: Document
Cited by: §10.1.
-
[152]
E. Lakatos, L. Magyar, and I. Bojtár (2014-10)
Material properties of the mandibular trabecular bone.
Journal of Medical Engineering 2014, pp. .
External Links: Document
Cited by: §12.2.4.
-
[153]
S.V. Lamaka, G. Knörnschild, D.V. Snihirova, M.G. Taryba, M.L. Zheludkevich, and M.G.S. Ferreira (2009-12)
Complex anticorrosion coating for ZK30 magnesium alloy.
Electrochimica Acta 55 (1), pp. 131–141.
External Links: Document
Cited by: §5.4.
-
[154]
S. V. Lamaka, J. Gonzalez, D. Mei, F. Feyerabend, R. Willumeit-Römer, and M. L. Zheludkevich (2018-06)
Local pH and its evolution near mg alloy surfaces exposed to simulated body fluids.
Advanced Materials Interfaces 5 (18), pp. 1800169.
External Links: Document
Cited by: §1.3,
§3.5,
§5.1,
§5.1,
§5.1.
-
[155]
A. LAMBOTTE (1909)
Technique et indication des prothèses dans le traitement des fractures.
Presse med 17, pp. 321.
Cited by: §1.2.
-
[156]
A. Lambotte (1932)
L’utilisation du magnesium comme materiel perdu dans l’osteosynthèse.
Bull Mem Soc Nat Chir 28 (3), pp. 1325–1334.
Cited by: §1.2.
-
[157]
B. S. Lazarov and O. Sigmund (2011)
Filters in topology optimization based on helmholtz-type differential equations.
International Journal for Numerical Methods in Engineering 86 (6), pp. 765–781.
Cited by: §11.A.2.
-
[158]
H. G. Lee, J. Park, S. Yoon, C. Lee, and J. Kim (2019-09)
Mathematical model and numerical simulation for tissue growth on bioscaffolds.
Applied Sciences 9 (19), pp. 4058.
External Links: Document
Cited by: §6.1.
-
[159]
S. H. Lee and J. C. Rasaiah (2011-09)
Proton transfer and the mobilities of the H+ and OH- ions from studies of a dissociating model for water.
The Journal of Chemical Physics 135 (12), pp. 124505.
External Links: Document
Cited by: §3.3.8,
§3.4.1.
-
[160]
J. Lévesque, H. Hermawan, D. Dubé, and D. Mantovani (2008-03)
Design of a pseudo-physiological test bench specific to the development of biodegradable metallic biomaterials.
Acta Biomaterialia 4 (2), pp. 284–295.
External Links: Document
Cited by: §4.1.
-
[161]
F. E. Levy, R. W. Smith, R. M. Odland, and L. J. Marentette (1991-02)
Monocortical Miniplate Fixation of Mandibular Angle Fractures.
Archives of Otolaryngology–Head & Neck Surgery 117 (2), pp. 149–154.
External Links: ISSN 0886-4470,
Document,
Link,
https://jamanetwork.com/journals/jamaotolaryngology/articlepdf/619428/archotol_117_2_002.pdf
Cited by: §12.1.
-
[162]
G. K. Levy, J. Goldman, and E. Aghion (2017-10)
The prospects of zinc as a structural material for biodegradable implants—a review paper.
Metals 7 (10), pp. 402.
External Links: Document
Cited by: §1.1.
-
[163]
H. Li, T. Yamada, P. Jolivet, K. Furuta, T. Kondoh, K. Izui, and S. Nishiwaki (2021)
Full-scale 3D structural topology optimization using adaptive mesh refinement based on the level-set method.
Finite Elements in Analysis and Design 194, pp. 103561.
Cited by: §11.A.1,
§11.A.2,
§11.A.3.
-
[164]
H. LI (2022-09)
Level set-based topology optimization of thermal fluid-structure systems.
Ph.D. Thesis, Kyoto University.
External Links: Link,
Document
Cited by: Appendix 11.A.
-
[165]
N. Li, C. Guo, Y. H. Wu, Y. F. Zheng, and L. Q. Ruan (2012-08)
Comparative study on corrosion behaviour of pure mg and WE43 alloy in static, stirring and flowing hank’s solution.
Corrosion Engineering, Science and Technology 47 (5), pp. 346–351.
External Links: Document
Cited by: §4.1.
-
[166]
X. Li, X. Liu, S. Wu, K.W.K. Yeung, Y. Zheng, and P. K. Chu (2016-11)
Design of magnesium alloys with controllable degradation for biomedical implants: from bulk to surface.
Acta Biomaterialia 45, pp. 2–30.
External Links: Document
Cited by: §5.1.
-
[167]
Y. Li, X. Lu, K. Wu, L. Yang, T. Zhang, and F. Wang (2020-05)
Exploration the inhibition mechanism of sodium dodecyl sulfate on mg alloy.
Corrosion Science 168, pp. 108559.
External Links: Document
Cited by: §1.3.
-
[168]
C. Lin, H. Ruan, and S. Shi (2019-07)
Phase field study of mechanico-electrochemical corrosion.
Electrochimica Acta 310, pp. 240–255.
External Links: Document
Cited by: §6.1.
-
[169]
C. Lin and H. Ruan (2020-12)
Multi-phase-field modeling of localized corrosion involving galvanic pitting and mechano-electrochemical coupling.
Corrosion Science 177, pp. 108900.
External Links: Document
Cited by: §6.1.
-
[170]
D. Liu, S. Hu, X. Yin, J. Liu, Z. Jia, and Q. Li (2018-03)
Degradation mechanism of magnesium alloy stent under simulated human micro-stress environment.
Materials Science and Engineering: C 84, pp. 263–270.
External Links: Document
Cited by: §1.4,
Table 1.2.
-
[171]
X. Liu, J. Sun, Y. Yang, Z. Pu, and Y. Zheng (2015-12)
In vitro investigation of ultra-pure zn and its mini-tube as potential bioabsorbable stent material.
Materials Letters 161, pp. 53–56.
External Links: Document
Cited by: §1.1.
-
[172]
Y. Liu, Y. Zheng, X. Chen, J. Yang, H. Pan, D. Chen, L. Wang, J. Zhang, D. Zhu, S. Wu, K. W. K. Yeung, R. Zeng, Y. Han, and S. Guan (2019-02)
Fundamental theory of biodegradable metals—definition, criteria, and design.
Advanced Functional Materials 29 (18), pp. 1805402.
External Links: Document
Cited by: Chapter 1,
§5.1.
-
[173]
J. P. Long, S. J. Hollister, and S. A. Goldstein (2012-10)
A paradigm for the development and evaluation of novel implant topologies for bone fixation: in vivo evaluation.
Journal of Biomechanics 45 (15), pp. 2651–2657.
External Links: Document
Cited by: §6.7.
-
[174]
X. Lu, Y. Li, P. Ju, Y. Chen, J. Yang, K. Qian, T. Zhang, and F. Wang (2019-03)
Unveiling the inhibition mechanism of an effective inhibitor for AZ91 mg alloy.
Corrosion Science 148, pp. 264–271.
External Links: Document
Cited by: §1.3.
-
[175]
D. Luo, Q. Rong, and Q. Chen (2017-09)
Finite-element design and optimization of a three-dimensional tetrahedral porous titanium scaffold for the reconstruction of mandibular defects.
Medical Engineering & Physics 47, pp. 176–183.
External Links: Document
Cited by: §6.7.
-
[176]
X. Luo, B. Yang, L. Sheng, J. Chen, H. Li, L. Xie, G. Chen, M. Yu, W. Guo, and W. Tian (2015-07)
CAD based design sensitivity analysis and shape optimization of scaffolds for bio-root regeneration in swine.
Biomaterials 57, pp. 59–72.
External Links: Document
Cited by: §6.7.
-
[177]
B. J.C. Luthringer, F. Feyerabend, and R. Willumeit-Römer (2014-10)
Magnesium-based implants: a mini-review.
Magnesium Research 27 (4), pp. 142–154.
External Links: Document
Cited by: §10.1.
-
[178]
H. Lv, W. Chang, P. Yuwen, N. Yang, X. Yan, and Y. Zhang (2017)
Are there too many screw holes in plates for fracture fixation?.
BMC Surgery 17 (1), pp. 1–10.
External Links: ISSN 14712482,
Document
Cited by: §12.4.
-
[179]
S. Ma, B. Zhou, and B. Markert (2018-08)
Numerical simulation of the tissue differentiation and corrosion process of biodegradable magnesium implants during bone fracture healing.
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 98, pp. .
External Links: Document
Cited by: §12.1.
-
[180]
S. A. Maas, B. J. Ellis, G. A. Ateshian, and J. A. Weiss (2012-01)
FEBio: finite elements for biomechanics.
Journal of Biomechanical Engineering 134 (1).
External Links: Document
Cited by: §13.2.3.
-
[181]
P. Magni and G. Sparacino (2014)
5 - parameter estimation.
In Modelling Methodology for Physiology and Medicine (Second Edition), E. Carson and C. Cobelli (Eds.),
pp. 83 – 110.
External Links: Document
Cited by: §9.1.
-
[182]
D. Mahmoud and M. Elbestawi (2017-10)
Lattice structures and functionally graded materials applications in additive manufacturing of orthopedic implants: a review.
Journal of Manufacturing and Materials Processing 1 (2), pp. 13.
External Links: Document
Cited by: §11.1.
-
[183]
W. Mai, S. Soghrati, and R. G. Buchheit (2016-09)
A phase field model for simulating the pitting corrosion.
Corrosion Science 110, pp. 157–166.
External Links: Document
Cited by: §6.1.
-
[184]
A. Mansour (2017-10)
A comparison of orthodontic elastic forces: focus on reduced inventory.
journal of orthodontic science 6, pp. 136.
Cited by: §12.2.4.
-
[185]
D. Mareci, G. Bolat, J. Izquierdo, C. Crimu, C. Munteanu, I. Antoniac, and R.M. Souto (2016-03)
Electrochemical characteristics of bioresorbable binary MgCa alloys in ringer's solution: revealing the impact of local pH distributions during in-vitro dissolution.
Materials Science and Engineering: C 60, pp. 402–410.
External Links: Document
Cited by: §5.4.
-
[186]
R. Marsell and T. A. Einhorn (2011)
The biology of fracture healing.
Injury 42 (6), pp. 551–555.
Note: Bone Regeneration in the 21st Century
External Links: ISSN 0020-1383,
Document,
Link
Cited by: §12.2.4.
-
[187]
S. F. McCormick (1987)
Multigrid methods.
SIAM.
Cited by: §4.2.5,
§7.3.2.
-
[188]
R.J. McCoy, C. Jungreuthmayer, and F.J. O'Brien (2012-01)
Influence of flow rate and scaffold pore size on cell behavior during mechanical stimulation in a flow perfusion bioreactor.
Biotechnology and Bioengineering 109 (6), pp. 1583–1594.
External Links: Document
Cited by: §4.1.
-
[189]
H. Mehboob and S. Chang (2015-01)
Optimal design of a functionally graded biodegradable composite bone plate by using the taguchi method and finite element analysis.
Composite Structures 119, pp. 166–173.
External Links: Document
Cited by: §12.1.
-
[190]
M. Mehrian, Y. Guyot, I. Papantoniou, S. Olofsson, M. Sonnaert, R. Misener, and L. Geris (2017-12)
Maximizing neotissue growth kinetics in a perfusion bioreactor: an in silico strategy using model reduction and bayesian optimization.
Biotechnology and Bioengineering 115 (3), pp. 617–629.
External Links: Document
Cited by: §3.3.7.
-
[191]
D. Mei, S. V. Lamaka, C. Feiler, and M. L. Zheludkevich (2019-06)
The effect of small-molecule bio-relevant organic components at low concentration on the corrosion of commercially pure mg and mg-0.8ca alloy: an overall perspective.
Corrosion Science 153, pp. 258–271.
External Links: Document
Cited by: §1.3,
§1.3,
§3.3.6,
§5.1,
§5.1.
-
[192]
D. Mei, S. V. Lamaka, J. Gonzalez, F. Feyerabend, R. Willumeit-Römer, and M. L. Zheludkevich (2019-02)
The role of individual components of simulated body fluid on the corrosion behavior of commercially pure mg.
Corrosion Science 147, pp. 81–93.
External Links: Document
Cited by: §1.3,
§3.3.3,
§3.3.6,
§3.5,
§5.1,
§5.1,
§5.4,
§7.3.4,
§7.3.4.
-
[193]
D. Mei, S. V. Lamaka, X. Lu, and M. L. Zheludkevich (2020-07)
Selecting medium for corrosion testing of bioabsorbable magnesium and other metals – a critical review.
Corrosion Science 171, pp. 108722.
External Links: Document
Cited by: Figure 1.2,
Figure 1.3,
§1.3,
§1.3,
§1.3,
Table 1.1,
§3.2.1,
§3.3.1,
§3.3.1,
§3.3.6,
§3.5,
§5.1,
§5.1.
-
[194]
D. Mei, C. Wang, S. V. Lamaka, and M. L. Zheludkevich (2021-05)
Clarifying the influence of albumin on the initial stages of magnesium corrosion in hank’s balanced salt solution.
Journal of Magnesium and Alloys 9 (3), pp. 805–817.
External Links: Document
Cited by: §5.1.
-
[195]
M. Mikailov, J. Qiu, F. Luo, S. Whitney, and N. Petrick (2019-10)
Scaling modeling and simulation on high-performance computing clusters.
SIMULATION 96 (2), pp. 221–232.
External Links: Document
Cited by: §13.2.4.
-
[196]
J. Mockus (1989)
Bayesian approach to global optimization.
Springer Netherlands.
External Links: Document
Cited by: §3.3.7,
§7.3.4,
§9.1.
-
[197]
R. More and A. Reddy (2018-11)
Study of mandibular thickness in dentulous and edentulous mandibles.
Indian Journal of Clinical Anatomy and Physiology 5, pp. 457–460.
External Links: Document
Cited by: §12.2.4.
-
[198]
E. Mostaed, M. Sikora-Jasinska, J. W. Drelich, and M. Vedani (2018-04)
Zinc-based alloys for degradable vascular stent applications.
Acta Biomaterialia 71, pp. 1–23.
External Links: Document
Cited by: Chapter 1.
-
[199]
A. Moure and H. Gomez (2019-12)
Phase-field modeling of individual and collective cell migration.
Archives of Computational Methods in Engineering 28 (2), pp. 311–344.
External Links: Document
Cited by: §6.8.
-
[200]
A. Moure (2017)
Phase-field modeling and isogeometric analysis of cell crawling.
Ph.D. Thesis, Universidade da Coruna.
External Links: Document
Cited by: §6.8.
-
[201]
F. J. O'Brien (2011-03)
Biomaterials: scaffolds for tissue engineering.
Materials Today 14 (3), pp. 88–95.
External Links: Document
Cited by: §10.3.1.
-
[202]
G. Olson and S. Zhang (2012)
Ductilization of high-strength magnesium alloys.
Cited by: §12.2.3.
-
[203]
S. Osher and J. A. Sethian (1988-11)
Fronts propagating with curvature-dependent speed: algorithms based on hamilton-jacobi formulations.
Journal of Computational Physics 79 (1), pp. 12–49.
External Links: Document
Cited by: §6.1.
-
[204]
I. Papantoniou, Y. C. Chai, F. P. Luyten, and J. Schrooten (2013-08)
Process quality engineering for bioreactor-driven manufacturing of tissue-engineered constructs for bone regeneration.
Tissue Engineering Part C: Methods 19 (8), pp. 596–609.
External Links: Document
Cited by: §4.1.
-
[205]
I. Papantoniou, M. Sonnaert, L. Geris, F. P. Luyten, J. Schrooten, and G. Kerckhofs (2014-03)
Three-dimensional characterization of tissue-engineered constructs by contrast-enhanced nanofocus computed tomography.
Tissue Engineering Part C: Methods 20 (3), pp. 177–187.
External Links: Document
Cited by: §6.5.2.
-
[206]
A. R. Patrachari, J. T. Podichetty, and S. V. Madihally (2012-08)
Application of computational fluid dynamics in tissue engineering.
Journal of Bioscience and Bioengineering 114 (2), pp. 123–132.
External Links: Document
Cited by: §4.1.
-
[207]
F. Perez-Boerema, M. Barzegari, and L. Geris (2022-03)
A flexible and easy-to-use open-source tool for designing functionally graded 3d porous structures.
Virtual and Physical Prototyping 17 (3), pp. 682–699.
External Links: Document
Cited by: Figure 10.5,
§10.2.1.
-
[208]
M. Pogorielov, E. Husak, A. Solodivnik, and S. Zhdanov (2017-03)
Magnesium-based biodegradable alloys: degradation, application, and alloying elements.
Interventional Medicine and Applied Science 9 (1), pp. 27–38.
External Links: Document
Cited by: §1.3.
-
[209]
Y. Qin, P. Wen, H. Guo, D. Xia, Y. Zheng, L. Jauer, R. Poprawe, M. Voshage, and J. H. Schleifenbaum (2019)
Additive manufacturing of biodegradable metals: current research status and future perspectives.
Acta Biomaterialia 98, pp. 3 – 22.
External Links: Document
Cited by: §3.1.1.
-
[210]
A. Quarteroni (2014)
Navier-stokes equations.
In Numerical Models for Differential Problems,
pp. 429–482.
External Links: Document
Cited by: §4.2.1,
§4.2.3.
-
[211]
G. M. Raghavendra, K. Varaprasad, and T. Jayaramudu (2015)
Chapter 2 - biomaterials: design, development and biomedical applications.
In Nanotechnology Applications for Tissue Engineering, S. Thomas, Y. Grohens, and N. Ninan (Eds.),
pp. 21 – 44.
External Links: ISBN 978-0-323-32889-0,
Document
Cited by: §12.1.
-
[212]
S. RAJAGOPALAN and R. ROBB (2006-10)
Schwarz meets schwann: design and fabrication of biomorphic and durataxic tissue engineering scaffolds.
Medical Image Analysis 10 (5), pp. 693–712.
External Links: Document
Cited by: §10.3.1.
-
[213]
J. Rauh, F. Milan, K. Günther, and M. Stiehler (2011-08)
Bioreactor systems for bone tissue engineering.
Tissue Engineering Part B: Reviews 17 (4), pp. 263–280.
External Links: Document
Cited by: §4.1.
-
[214]
J.M. Reina, J.M. García-Aznar, J. Domínguez, and M. Doblaré (2007)
Numerical estimation of bone density and elastic constants distribution in a human mandible.
Journal of Biomechanics 40 (4), pp. 828–836.
External Links: ISSN 0021-9290,
Document,
Link
Cited by: §12.2.4.
-
[215]
C. Rettinger, C. Godenschwager, S. Eibl, T. Preclik, T. Schruff, R. Frings, and U. Rüde (2017)
Fully resolved simulations of dune formation in riverbeds.
In High Performance Computing, J. M. Kunkel, R. Yokota, P. Balaji, and D. Keyes (Eds.),
Cham, pp. 3–21.
External Links: ISBN 978-3-319-58667-0
Cited by: §7.5.
-
[216]
U. Riaz, I. Shabib, and W. Haider (2018-12)
The current trends of mg alloys in biomedical applications—a review.
Journal of Biomedical Materials Research Part B: Applied Biomaterials.
External Links: Document
Cited by: §3.1.1.
-
[217]
A. Ribes and C. Caremoli (2007-07)
Salome platform component model for numerical simulation.
In 31st Annual International Computer Software and Applications Conference - Vol. 2 - (COMPSAC 2007),
External Links: Document
Cited by: §3.3.5,
§4.2.7,
§5.2.3,
§7.3.2.
-
[218]
W. J. Rider and D. B. Kothe (1998-04)
Reconstructing volume tracking.
Journal of Computational Physics 141 (2), pp. 112–152.
External Links: Document
Cited by: §6.1.
-
[219]
S. O. Ronald Fedkiw (2002-10-31)
Level set methods and dynamic implicit surfaces.
Springer New York.
External Links: ISBN 0387954821
Cited by: §3.2.3,
§6.1,
§6.1,
§7.2.3,
§7.2.3,
§8.3.1.
-
[220]
M. Rubert, J. R. Vetsch, I. Lehtoviita, M. Sommer, F. Zhao, A. R. Studart, R. Müller, and S. Hofmann (2021-09)
Scaffold pore geometry guides gene regulation and bone-like tissue formation in dynamic cultures.
Tissue Engineering Part A 27 (17-18), pp. 1192–1204.
External Links: Document
Cited by: §6.7.
-
[221]
M. Rumpler, A. Woesz, J. W. Dunlop, J. T. van Dongen, and P. Fratzl (2008-03)
The effect of geometry on three-dimensional tissue growth.
Journal of The Royal Society Interface 5 (27), pp. 1173–1180.
External Links: Document
Cited by: §6.1,
§6.4.
-
[222]
G. Russo and P. Smereka (2000-09)
A remark on computing distance functions.
Journal of Computational Physics 163 (1), pp. 51–67.
External Links: Document
Cited by: §7.3.3.
-
[223]
Y. Saad and M. H. Schultz (1986)
GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems.
SIAM Journal on Scientific and Statistical Computing 7 (3), pp. 856–869.
External Links: Document,
https://doi.org/10.1137/0907058,
Link
Cited by: §10.2.2,
§3.3.5,
§4.2.5,
§5.2.2,
§6.6,
§7.3.2,
§7.3.2.
-
[224]
Y. Saad (2003-01)
Iterative methods for sparse linear systems.
Society for Industrial and Applied Mathematics.
External Links: Document
Cited by: §7.3.2.
-
[225]
A. H. M. Sanchez, B. J.C. Luthringer, F. Feyerabend, and R. Willumeit (2015-02)
Mg and mg alloys: how comparable are in vitro and in vivo corrosion rates? a review.
Acta Biomaterialia 13, pp. 16–31.
External Links: Document
Cited by: §1.3.
-
[226]
R. J. Santucci, M. E. McMahon, and J. R. Scully (2018-01)
Utilization of chemical stability diagrams for improved understanding of electrochemical systems: evolution of solution chemistry towards equilibrium.
npj Materials Degradation 2 (1).
External Links: Document
Cited by: §3.5.
-
[227]
J.A. Sanz-Herrera, E. Reina-Romo, and A.R. Boccaccini (2018-03)
In silico design of magnesium implants: macroscopic modeling.
Journal of the Mechanical Behavior of Biomedical Materials 79, pp. 181–188.
External Links: Document
Cited by: §1.4,
Table 1.2,
§3.1.2.
-
[228]
J.A. Sanz-Herrera, E. Reina-Romo, and A.R. Boccaccini (2018-03)
In silico design of magnesium implants: macroscopic modeling.
Journal of the Mechanical Behavior of Biomedical Materials 79, pp. 181–188.
External Links: Document
Cited by: §8.2,
§8.3.1.
-
[229]
J. A. Sanz-Herrera and E. Reina-Romo (2019-09)
Continuum modeling and simulation in bone tissue engineering.
Applied Sciences 9 (18), pp. 3674.
External Links: Document
Cited by: §1.4.
-
[230]
S. Scheiner and C. Hellmich (2007-02)
Stable pitting corrosion of stainless steel as diffusion-controlled dissolution process with a sharp moving electrode boundary.
Corrosion Science 49 (2), pp. 319–346.
External Links: Document
Cited by: §3.3.3,
§7.2.3.
-
[231]
Ch. Schille, M. Braun, H.P. Wendel, L. Scheideler, N. Hort, H.-P. Reichel, E. Schweizer, and J. Geis-Gerstorfer (2011-12)
Corrosion of experimental magnesium alloys in blood and PBS: a gravimetric and microscopic evaluation.
Materials Science and Engineering: B 176 (20), pp. 1797–1801.
External Links: Document
Cited by: §1.3.
-
[232]
M. Schinhammer, A. C. Hänzi, J. F. Löffler, and P. J. Uggowitzer (2010-05)
Design strategy for biodegradable fe-based alloys for medical applications.
Acta Biomaterialia 6 (5), pp. 1705–1713.
External Links: Document
Cited by: Chapter 1.
-
[233]
J. Schöberl (1997-07)
NETGEN an advancing front 2d/3d-mesh generator based on abstract rules.
Computing and Visualization in Science 1 (1), pp. 41–52.
External Links: Document
Cited by: §3.3.5,
§4.2.7,
§5.2.3,
§7.3.2.
-
[234]
A. Sharma (2022)
Introduction to computational fluid dynamics.
Springer International Publishing.
External Links: Document
Cited by: §4.1.
-
[235]
J. Shen and X. Yang (2010)
Numerical approximations of allen-cahn and cahn-hilliard equations.
Discrete & Continuous Dynamical Systems - A 28 (4), pp. 1669–1691.
External Links: Document
Cited by: §6.5.1,
§6.5.1,
§6.5.1.
-
[236]
Z. Shen, M. Zhao, D. Bian, D. Shen, X. Zhou, J. Liu, Y. Liu, H. Guo, and Y. Zheng (2019-07)
Predicting the degradation behavior of magnesium alloys with a diffusion-based theoretical model and in vitro corrosion testing.
Journal of Materials Science & Technology 35 (7), pp. 1393–1402.
External Links: Document
Cited by: §1.4,
Table 1.2,
§3.1.2.
-
[237]
W. Shi, H. Li, K. Mitchell, C. Zhang, T. Zhu, Y. Jin, and D. Zhao (2021-09)
A multi-dimensional non-uniform corrosion model for bioabsorbable metallic vascular stents.
Acta Biomaterialia 131, pp. 572–580.
External Links: Document
Cited by: §1.4,
Table 1.2.
-
[238]
C. Shuai, S. Li, S. Peng, P. Feng, Y. Lai, and C. Gao (2019)
Biodegradable metallic bone implants.
Materials Chemistry Frontiers 3 (4), pp. 544–562.
External Links: Document
Cited by: §11.1.
-
[239]
V. I. Sikavitsas, G. N. Bancroft, J. J. Lemoine, M. A. K. Liebschner, M. Dauner, and A. G. Mikos (2005-01)
Flow perfusion enhances the calcified matrix deposition of marrow stromal cells in biodegradable nonwoven fiber mesh scaffolds.
Annals of Biomedical Engineering 33 (1), pp. 63–70.
External Links: Document
Cited by: §4.1.
-
[240]
E. L. Silva, S. V. Lamaka, D. Mei, and M. L. Zheludkevich (2018-08)
The reduction of dissolved oxygen during magnesium corrosion.
ChemistryOpen 7 (8), pp. 664–668.
External Links: Document
Cited by: §3.3.1,
§3.3.6,
§5.1.
-
[241]
S. Sittitavornwong, D. Ashley, D. Denson, D. Walma, S. Potter, C. P. Lin, and J. Freind (2019-01)
Assessment of the integrity of adult human mandibular angle.
Craniomaxillofacial Trauma & Reconstruction Open 03, pp. e18–e23.
External Links: Document
Cited by: §12.2.4.
-
[242]
M. J. Song, D. Dean, and M. L. K. Tate (2013-07)
Mechanical modulation of nascent stem cell lineage commitment in tissue engineering scaffolds.
Biomaterials 34 (23), pp. 5766–5775.
External Links: Document
Cited by: §4.1.
-
[243]
Y. Song, D. Shan, R. Chen, F. Zhang, and E. Han (2009-04)
Biodegradable behaviors of AZ31 magnesium alloy in simulated body fluid.
Materials Science and Engineering: C 29 (3), pp. 1039–1045.
External Links: Document
Cited by: §5.1.
-
[244]
M. Sonnaert, I. Papantoniou, V. Bloemen, G. Kerckhofs, F. P. Luyten, and J. Schrooten (2014-09)
Human periosteal-derived cell expansion in a perfusion bioreactor system: proliferation, differentiation and extracellular matrix formation.
Journal of Tissue Engineering and Regenerative Medicine 11 (2), pp. 519–530.
External Links: Document
Cited by: §4.1.
-
[245]
Y. Sotomi, Y. Onuma, C. Collet, E. Tenekecioglu, R. Virmani, N. S. Kleiman, and P. W. Serruys (2017-04)
Bioresorbable scaffold.
Circulation Research 120 (8), pp. 1341–1352.
External Links: Document
Cited by: §1.2.
-
[246]
R. Spatschek, E. Brener, and A. Karma (2011-01)
Phase field modeling of crack propagation.
Philosophical Magazine 91 (1), pp. 75–95.
External Links: Document
Cited by: §6.1.
-
[247]
M. P. Staiger, A. M. Pietak, J. Huadmai, and G. Dias (2006-03)
Magnesium and its alloys as orthopedic biomaterials: a review.
Biomaterials 27 (9), pp. 1728–1734.
External Links: Document
Cited by: Chapter 1.
-
[248]
M. Strebl, M. Bruns, and S. Virtanen (2020-01)
Editors’ choice—respirometric in situ methods for real-time monitoring of corrosion rates: part i. atmospheric corrosion.
Journal of The Electrochemical Society 167 (2), pp. 021510.
External Links: Document
Cited by: §3.3.1,
§3.3.6.
-
[249]
D. Suleimenova, H. Arabnejad, W. N. Edeling, D. Coster, O. O. Luk, J. Lakhlili, V. Jancauskas, M. Kulczewski, L. Veen, D. Ye, P. Zun, V. Krzhizhanovskaya, A. Hoekstra, D. Crommelin, P. V. Coveney, and D. Groen (2021-07)
Tutorial applications for verification, validation and uncertainty quantification using VECMA toolkit.
Journal of Computational Science 53, pp. 101402.
External Links: Document
Cited by: §13.3.3.
-
[250]
W. Sun, G. Liu, L. Wang, T. Wu, and Y. Liu (2012-11)
An arbitrary lagrangian–eulerian model for studying the influences of corrosion product deposition on bimetallic corrosion.
Journal of Solid State Electrochemistry 17 (3), pp. 829–840.
External Links: Document
Cited by: §3.1.2,
§3.3.8,
§3.5.
-
[251]
Y. Sun and C. Beckermann (2007-01)
Sharp interface tracking using the phase-field equation.
Journal of Computational Physics 220 (2), pp. 626–653.
External Links: Document
Cited by: Figure 6.1,
§6.1,
§6.1,
§6.1,
§6.2.1,
§6.3.1,
§6.3.2.
-
[252]
J. L. Suter and P. V. Coveney (2021-11)
Principles governing control of aggregation and dispersion of aqueous graphene oxide.
Scientific Reports 11 (1).
External Links: Document
Cited by: §13.3.3.
-
[253]
A. Tarantola (1987)
Inverse problem theory: methods for data fitting and model parameter estimation.
Elsevier Science Ltd.
External Links: ISBN 0444427651,
Document
Cited by: §9.1.
-
[254]
U. M. Tefashe, P. Dauphin-Ducharme, M. Danaie, Z. P. Cano, J. R. Kish, G. A. Botton, and J. Mauzeroll (2015)
Localized corrosion behavior of AZ31b magnesium alloy with an electrodeposited poly(3,4-ethylenedioxythiophene) coating.
Journal of The Electrochemical Society 162 (10), pp. C536–C544.
External Links: Document
Cited by: §5.4.
-
[255]
C. Tsuyuki, A. Yamanaka, and Y. Ogimoto (2018-08)
Phase-field modeling for pH-dependent general and pitting corrosion of iron.
Scientific Reports 8 (1).
External Links: Document
Cited by: §6.1.
-
[256]
A. S. Vagbharathi and S. Gopalakrishnan (2014-08)
An extended finite-element model coupled with level set method for analysis of growth of corrosion pits in metallic structures.
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470 (2168), pp. 20140001.
External Links: Document
Cited by: §7.1.
-
[257]
M. Vassaux, S. Wan, W. Edeling, and P. V. Coveney (2021-07)
Ensembles are required to handle aleatoric and parametric uncertainty in molecular dynamics simulation.
Journal of Chemical Theory and Computation 17 (8), pp. 5187–5197.
External Links: Document
Cited by: §13.3.3.
-
[258]
A. Vautrin, M. Wesseling, R. Wirix-Speetjens, and M. J. Gomez-Benito (2021)
Time-dependent in silico modelling of orthognathic surgery to support the design of biodegradable bone plates.
Journal of the Mechanical Behavior of Biomedical Materials 121, pp. 104641.
External Links: ISSN 1751-6161,
Document,
Link
Cited by: §12.1.
-
[259]
J. Venezuela and M.S. Dargusch (2019-03)
The influence of alloying and fabrication techniques on the mechanical properties, biodegradability and biocompatibility of zinc: a comprehensive review.
Acta Biomaterialia 87, pp. 1–40.
External Links: Document
Cited by: Chapter 1.
-
[260]
J. Vormann (2003-02)
Magnesium: nutrition and metabolism.
Molecular Aspects of Medicine 24 (1-3), pp. 27–37.
External Links: Document
Cited by: §1.2.
-
[261]
K. Voss and P.M. Montavon (2009)
13 - fractures.
In Feline Orthopedic Surgery and Musculoskeletal Disease, P.M. Montavon, K. Voss, and S.J. Langley-Hobbs (Eds.),
pp. 129–152.
External Links: ISBN 978-0-7020-2986-8,
Document,
Link
Cited by: §12.2.4.
-
[262]
K. R. Wadleigh (2000)
Software optimization for high-performance computing.
Prentice Hall PTR.
External Links: ISBN 0130170089
Cited by: §13.2.4.
-
[263]
J. Walker, S. Shadanbaz, N. T. Kirkland, E. Stace, T. Woodfield, M. P. Staiger, and G. J. Dias (2012-02)
Magnesium alloys: predicting in vivo corrosion with in vitro immersion testing.
Journal of Biomedical Materials Research Part B: Applied Biomaterials 100B (4), pp. 1134–1141.
External Links: Document
Cited by: §1.3.
-
[264]
J. Walker, S. Shadanbaz, T. B. F. Woodfield, M. P. Staiger, and G. J. Dias (2014-01)
Magnesium biomaterials for orthopedic application: a review from a biological perspective.
Journal of Biomedical Materials Research Part B: Applied Biomaterials 102 (6), pp. 1316–1331.
External Links: Document
Cited by: Chapter 1.
-
[265]
C. Wang, D. Mei, G. Wiese, L. Wang, M. Deng, S. V. Lamaka, and M. L. Zheludkevich (2020-12)
High rate oxygen reduction reaction during corrosion of ultra-high-purity magnesium.
npj Materials Degradation 4 (1).
External Links: Document
Cited by: §1.2,
§1.3,
§3.3.1,
§3.3.6.
-
[266]
C. Wang, C. Song, D. Mei, L. Wang, W. Wang, T. Wu, D. Snihirova, M. L. Zheludkevich, and S. V. Lamaka (2022-04)
Low interfacial pH discloses the favorable biodegradability of several mg alloys.
Corrosion Science 197, pp. 110059.
External Links: Document
Cited by: item 2,
item 3,
§5.4,
§5.4,
Table 5.3.
-
[267]
H. Wang and Z. Shi (2011-07)
In vitro biodegradation behavior of magnesium and magnesium alloy.
Journal of Biomedical Materials Research Part B: Applied Biomaterials 98B (2), pp. 203–209.
External Links: Document
Cited by: §1.3.
-
[268]
J. Wang, J. Xu, C. Hopkins, D. H. Chow, and L. Qin (2020-02)
Biodegradable magnesium-based implants in orthopedics—a general review and perspectives.
Advanced Science 7 (8), pp. 1902443.
External Links: Document
Cited by: §1.1,
§1.2.
-
[269]
J. Wang, V. Giridharan, V. Shanov, Z. Xu, B. Collins, L. White, Y. Jang, J. Sankar, N. Huang, and Y. Yun (2014-12)
Flow-induced corrosion behavior of absorbable magnesium-based stents.
Acta Biomaterialia 10 (12), pp. 5213–5223.
External Links: Document
Cited by: §4.1,
§4.1.
-
[270]
Y. Wang, J. Pan, X. Han, C. Sinka, and L. Ding (2008)
A phenomenological model for the degradation of biodegradable polymers.
Biomaterials 29 (23), pp. 3393–3401.
Cited by: §3.2.1.
-
[271]
B. Warnqvist (1971-04)
The HALTAFALL program-some corrections, and comments on recent experience.
Talanta 18 (4), pp. 457–458.
External Links: Document
Cited by: §5.2.2.
-
[272]
B. Wegener, A. Sichler, S. Milz, C. Sprecher, K. Pieper, W. Hermanns, V. Jansson, B. Nies, B. Kieback, P. E. Müller, V. Wegener, and P. Quadbeck (2020-06)
Development of a novel biodegradable porous iron-based implant for bone replacement.
Scientific Reports 10 (1).
External Links: Document
Cited by: §1.1.
-
[273]
H. G. Weller, G. Tabor, H. Jasak, and C. Fureby (1998)
A tensorial approach to computational continuum mechanics using object-oriented techniques.
Computers in Physics 12 (6), pp. 620.
External Links: Document
Cited by: §4.2.7.
-
[274]
E. Wendland and H. Schulz (2005-01)
Numerical experiments on mass lumping for the advection-diffusion equation.
Pesquisa e Tecnologia Minerva 2, pp. 227–233.
Cited by: §7.3.2.
-
[275]
J. W. Wilder, C. Clemons, D. Golovaty, K. L. Kreider, G. W. Young, and R. S. Lillard (2014-11)
An adaptive level set approach for modeling damage due to galvanic corrosion.
Journal of Engineering Mathematics 91 (1), pp. 121–142.
External Links: Document
Cited by: §3.1.2,
§7.1,
§8.2.
-
[276]
R. Willumeit-Römer (2019-02)
The interface between degradable mg and tissue.
JOM 71 (4), pp. 1447–1455.
External Links: Document
Cited by: Chapter 1,
§5.1,
§5.4.
-
[277]
F. Witte, V. Kaese, H. Haferkamp, E. Switzer, A. Meyer-Lindenberg, C.J. Wirth, and H. Windhagen (2005-06)
In vivo corrosion of four magnesium alloys and the associated bone response.
Biomaterials 26 (17), pp. 3557–3563.
External Links: Document
Cited by: §1.2.
-
[278]
F. Witte, K. Bobe, and M. Meier (2013-01)
MRI based perfusion measurements in bone after implantation of biodegradable magnesium rods.
Eur Cells Mater 26, pp. .
Cited by: §4.1.
-
[279]
F. Witte (2010-05)
The history of biodegradable magnesium implants: a review.
Acta Biomaterialia 6 (5), pp. 1680–1692.
External Links: Document
Cited by: §1.2,
§1.2.
-
[280]
C. Wu, K. Zheng, J. Fang, G. P. Steven, and Q. Li (2020)
Time-dependent topology optimization of bone plates considering bone remodeling.
Computer Methods in Applied Mechanics and Engineering 359, pp. 112702.
External Links: ISSN 0045-7825,
Document,
Link
Cited by: §12.1.
-
[281]
J. Wu, N. Aage, R. Westermann, and O. Sigmund (2017)
Infill optimization for additive manufacturing—approaching bone-like porous structures.
IEEE Transactions on Visualization and Computer Graphics 24 (2), pp. 1127–1140.
Cited by: §11.A.2.
-
[282]
Y. Xin, T. Hu, and P. K. Chu (2011-04)
Degradation behaviour of pure magnesium in simulated body fluids with different concentrations of hco3.
Corrosion Science 53 (4), pp. 1522–1528.
External Links: Document
Cited by: §1.3,
§5.1.
-
[283]
Y. Xin, K. Huo, H. Tao, G. Tang, and P. K. Chu (2008-11)
Influence of aggressive ions on the degradation behavior of biomedical magnesium alloy in physiological environment.
Acta Biomaterialia 4 (6), pp. 2008–2015.
External Links: Document
Cited by: §3.1.1.
-
[284]
L.Y. Xu and Y.F. Cheng (2009-10)
Effect of fluid hydrodynamics on flow-assisted corrosion of aluminum alloy in ethylene glycol–water solution studied by a microelectrode technique.
Corrosion Science 51 (10), pp. 2330–2335.
External Links: Document
Cited by: §4.1.
-
[285]
Z. Xu, H. Huang, X. Li, and P. Meakin (2012-01)
Phase field and level set methods for modeling solute precipitation and/or dissolution.
Computer Physics Communications 183 (1), pp. 15–19.
External Links: Document
Cited by: §7.1.
-
[286]
D. Xue, Y. Yun, Z. Tan, Z. Dong, and M. J. Schulz (2012-03)
In vivo and in vitro degradation behavior of magnesium alloys as biomaterials.
Journal of Materials Science & Technology 28 (3), pp. 261–267.
External Links: Document
Cited by: §1.3.
-
[287]
D. Yadav, R. K. Garg, A. Ahlawat, and D. Chhabra (2020-10)
3D printable biomaterials for orthopedic implants: solution for sustainable and circular economy.
Resources Policy 68, pp. 101767.
External Links: Document
Cited by: §10.1.
-
[288]
T. Yamada, K. Izui, S. Nishiwaki, and A. Takezawa (2010)
A topology optimization method based on the level set method incorporating a fictitious interface energy.
Computer Methods in Applied Mechanics and Engineering 199 (45-48), pp. 2876–2891.
Cited by: §11.A.1.
-
[289]
Y. Yang, C. He, Dianyu E, W. Yang, F. Qi, D. Xie, L. Shen, S. Peng, and C. Shuai (2020)
Mg bone implant: features, developments and perspectives.
Materials & Design 185, pp. 108259.
External Links: ISSN 0264-1275,
Document
Cited by: §12.1.
-
[290]
B. Zeller-Plumhoff, T. AlBaraghtheh, D. Höche, and R. Willumeit-Römer (2022-04)
Computational modelling of magnesium degradation in simulated body fluid under physiological conditions.
Journal of Magnesium and Alloys 10 (4), pp. 965–978.
External Links: Document
Cited by: §13.3.3,
§5.1.
-
[291]
B. Zeller-Plumhoff, M. Gile, M. Priebe, H. Slominska, B. Boll, B. Wiese, T. Würger, R. Willumeit-Römer, and R. H. Meißner (2021-04)
Exploring key ionic interactions for magnesium degradation in simulated body fluid – a data-driven approach.
Corrosion Science 182, pp. 109272.
External Links: Document
Cited by: §5.1.
-
[292]
R. Zeng, Y. Hu, S. Guan, H. Cui, and E. Han (2014-09)
Corrosion of magnesium alloy AZ31: the influence of bicarbonate, sulphate, hydrogen phosphate and dihydrogen phosphate ions in saline solution.
Corrosion Science 86, pp. 171–182.
External Links: Document
Cited by: §1.3,
§5.1.
-
[293]
H. Zhang, A. Takezawa, X. Ding, S. Xu, P. Duan, H. Li, and H. Guo (2021-11)
Bi-material microstructural design of biodegradable composites using topology optimization.
Materials & Design 209, pp. 109973.
External Links: Document
Cited by: §11.1.
-
[294]
H. Zhang, A. Takezawa, X. Ding, S. Xu, H. Li, and H. Guo (2021-05)
Topology optimization of degradable composite structures with time-changeable stiffness.
International Journal for Numerical Methods in Engineering 122 (17), pp. 4751–4773.
External Links: Document
Cited by: §11.1.
-
[295]
L. Zhang, Z. Hou, X. Ye, Z. Xu, X. Bai, and P. Shang (2013-07)
The effect of selected alloying element additions on properties of mg-based alloy as bioimplants: a literature review.
Frontiers of Materials Science 7 (3), pp. 227–236.
External Links: Document
Cited by: §5.1.
-
[296]
D. Zhao, F. Witte, F. Lu, J. Wang, J. Li, and L. Qin (2017-01)
Current status on clinical applications of magnesium-based orthopaedic implants: a review from clinical translational perspective.
Biomaterials 112, pp. 287–302.
External Links: Document
Cited by: §1.2,
Chapter 1,
§3.1.1,
§3.3.1,
§7.1,
§8.2.
-
[297]
Z. ZHEN, T. XI, and Y. ZHENG (2013-08)
A review on in vitro corrosion performance test of biodegradable metallic materials.
Transactions of Nonferrous Metals Society of China 23 (8), pp. 2283–2293.
External Links: Document
Cited by: Chapter 1.
-
[298]
K. Zheng, Z. Liao, N. Yoda, J. Fang, J. Chen, Z. Zhang, J. Zhong, C. Peck, K. Sasaki, M. V. Swain, and Q. Li (2019)
Investigation on masticatory muscular functionality following oral reconstruction – an inverse identification approach.
Journal of Biomechanics 90, pp. 1–8.
External Links: ISSN 0021-9290,
Document,
Link
Cited by: §12.1.
-
[299]
Y.F. Zheng, X.N. Gu, and F. Witte (2014-03)
Biodegradable metals.
Materials Science and Engineering: R: Reports 77, pp. 1–34.
External Links: Document
Cited by: Chapter 1,
§12.1,
§3.1.1,
§3.3.1,
§3.3.1,
§5.1,
§7.2.1,
§7.2.1,
§8.2.