Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Bajger, P
Ashbourn, JMA
Manhas, Varun ; Université de Liège > Département d'aérospatiale et mécanique > Génie biomécanique
Guyot, Y
Lietaert, K
Geris, Liesbet ; Université de Liège > Département d'aérospatiale et mécanique > Génie biomécanique
Language :
English
Title :
Mathematical modelling of the degradation behaviour of biodegradable metals
Publication date :
July 2016
Journal title :
Biomechanics and Modeling in Mechanobiology
ISSN :
1617-7959
eISSN :
1617-7940
Publisher :
Springer Science & Business Media B.V.
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
European Research Council under the European Union's Seventh Framework Programme (FP/2007-2013) / ERC Grant Agreements n. 279100; Belgian National Fund for Scientific Research (FNRS) Grant FRFC 2.4564.12 and the special research fund of the KU Leuven (GOA/13/016).
Abidin NIZ, Rolfe B, Owen H, Malisano J, Martin D, Hofstetter J, Uggowitzer PJ, Atrens A (2013) The in vivo and in vitro corrosion of high-purity magnesium and magnesium alloys WZ21 and A91. Corros Sci 75:354–366
Atrens A, Winzer N (2006) Stress corrosion cracking and hydrogen diffusion in magnesium. Adv Eng Mater 8:749–750
Birbilis N, Easton MA, Sudholz AD, Zhu SM, Gibson MA (2009) On the corrosion of binary magnesium-rare earth alloys. Corros Sci 51:683–689
Chen S, Merriman B, Osher S, Smereka P (1997) A simple level set method for solving Stefan problems. J Computat Phys 135:8–29
Dapgony C, Frey P (2012) Computation of the signed distance function to a discrete contour on adapted triangulation. Calcolo 49:193–219
Gastaldi D, Sassi V, Petrini L, Vedani M, Trasatti S, Migliavacca F (2011) Continuum damage model for bioresorbable magnesium alloy devices—application to coronary stents. J Mech Behav Biomed Mater 4:352–365
Grathwohl P (1998) Diffusion in natural porous media: contaminant transport, sorption/desorption and dissolution kinetics. Springer, New York
Grogan JA, Leen SB, McHugh PE (2014) A physical corrosion model for bioabsorbable metal stents. Acta Biomater 10:2313–2322
Grogan JA, O’Brien BJ, Leen SB, McHugh PE (2011) A corrosion model for bioabsorbable metallic stents. Acta Biomater 7:3523–3533
Guyot Y, Papantoniu I, Chai YC, Van Bael S, Schrooten J, Geris L (2014) A computational model for cell/ECM growth on 3D surfaces using the level set method: a bone tissue engineering case study. Biomech Model Mechanobiol 13:1361–1371
Hecht F (2012) New development in FreeFem++. J Numer Math 20:251–265
Hofstetter J, Martinelli E, Weinberg AM, Becker M, Mingler B, Uggowitzer PJ, Löffler JF (2014) Assessing the degradation performance of ultrahigh-purity magnesium in vitro and in vivo. Corros Sci 91:29–36
Kirkland NT, Birbilis N, Staiger MP (2012) Assessing the corrosion of biodegradable magnesium implants: a critical review of current methodologies and their limitations. Acta Biomater 8:925–936
Lietaert K, Weber L, J V, Mortensen A, Luyten J, Schrooten J (2013) Open cellular magnesium alloys for biodegradable orthopaedic implants. J Magnes Alloys 1:303–311
Mueller W-D, de Mele MFL, Nascimento ML, Zeddies M (2009) Degradation of magnesium and its alloys: dependence on the composition of the synthetic biological media. J Biomed Mater Res 90:487–495
Nava MM, Raimondi MT, Pietrabissa R (2013) A multiphysics 3D model of tissue growth under interstitial perfusion in a tissue-engineering bioreactor. Biomech Model Mechanobiol 12:1169–1179
Sanchez AHM, Luthringer BJC, Feyerabend F, Willumeit R (2015) Mg and Mg alloys: how comparable are in vitro and in vivo corrosionrates? A review. Acta Biomater 13:16–31
Song G (2007) Control of biodegradation of biocompatible magnesium alloys. Corros Sci 49:1696–1701
Song G, Atrens A (1999) Corrosion mechanisms of magnesium alloys. Adv Eng Mater 1:11–33
Song G, Atrens A (2003) Understanding magnesium corrosion: a framework for improved alloy performance. Adv Eng Mater 5:837–858
Staiger MP, Pietak AM, Huadmai J, Dias G (2006) Magnesium and its alloys as orthopedic biomaterials: a review. Biomaterials 27:1728–1734
Sun W, Liu G, Wang L, Wu T, Liu Y (2013) An arbitrary Lagrangian–Eulerian model for studying the influences of corrosion product deposition on bimetallic corrosion. J Solid State Electrochem 17:829–840
Waizy H, Seitz J-M, Reifenrath J, Weizbauer A, Bach F-W, Meyer-Lindenberg A, Denkena B, Windhagen H (2013) Biodegradable magnesium implants for orthopaedic applications. J Mater Sci 48:39–50
Wen Z, Wu C, Dai C, Yang F (2009) Corrosion behaviors of Mg and its alloys with different Al contents in a modified simulated body fluid. J Alloys Compd 488:392–399
Wilder JW, Clemons C, Golovaty D, Kreider KL, Young GW, Lillard RS (2015) An adaptive level set approach for modeling damage due to galvanic corrosion. J Eng Math 91:121–142
Witte F, Hort N, Vogt C, Cohen S, Kainer KU, Willumeit R, Feyerabend F (2008) Degradable biomaterials based on magnesium corrosion. Curr Opin Solid State Mater Sci 12:63–72
Xin Y, Hu T, Chu PK (2011) In vitro studies of biomedical magnesium alloys in a simulated physiological environment: a review. Acta Biomater 7:1452–1459
Xin Y, Huo K, Tao H, Tang G, Chu P (2008) Influence of aggressive ions on the degradation behavior of biomedical magnesium alloy in physiological environment. Acta Biomater 4:2008–2015