Mathematical modelling; Calcium phosphate scaffolds; Dissolution and degradation
Research Center/Unit :
Biomechanics Research Unit, ULiège and Prometheus, KU Leuven
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Manhas, Varun ; Université de Liège > Département d'aérospatiale et mécanique > Génie biomécanique
Guyot, Yann
Kerckhofs, Greet
Chai, Yoke Chin
Geris, Liesbet ; Université de Liège > Département d'aérospatiale et mécanique > Génie biomécanique
Language :
English
Title :
Computational modelling of local calcium ions release from calcium phosphate-based scaffolds
Publication date :
August 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
European Projects :
FP7 - 279100 - BRIDGE - Biomimetic process design for tissue regeneration: from bench to bedside via in silico modelling
Funders :
EU - European Union [BE] F.R.S.-FNRS - Fund for Scientific Research [BE]
Funding text :
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).
Adachi T, Osako Y, Tanaka M, Hojo M, Hollister SJ (2006) Framework for optimal design of porous scaffold microstructure by computational simulation of bone regeneration. Biomaterials 27:3964–3972
Arifin DY, Lee LY, Wang C-H (2006) Mathematical modeling and simulation of drug release from microspheres: implications to drug delivery systems. Adv Drug Deliv Rev 58:1274–1325
Bianchi M et al (2014) Substrate geometry directs the in vitro mineralization of calcium phosphate ceramics. Acta Biomater 10:661–669
Bléry P et al (2014) Evaluation of new bone formation in irradiated areas using association of mesenchymal stem cells and total fresh bone marrow mixed with calcium phosphate scaffold. J Mater Sci Mater Med 25:2711–2720
Bohner M, Baumgart F (2004) Theoretical model to determine the effects of geometrical factors on the resorption of calcium phosphate bone substitutes. Biomaterials 25:3569–3582
Brazel CS, Peppas NA (2000) Modeling of drug release from swellable polymers. Eur J Pharm Biopharm 49:47–58
Byrne DP, Lacroix D, Planell JA, Kelly DJ, Prendergast PJ (2007) 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 28:5544–5554
Carlier A, Chai YC, Moesen M, Theys T, Schrooten J, Van Oosterwyck H, Geris L (2011) Designing optimal calcium phosphate scaffold-cell combinations using an integrative model-based approach. Acta Biomater 7:3573–3585
Chai YC et al (2012a) Current views on calcium phosphate osteogenicity and the translation into effective bone regeneration strategies. Acta Biomater 8:3876–3887
Chai YC et al (2012b) Ectopic bone formation by 3D porous calcium phosphate-Ti6Al4V hybrids produced by perfusion electrodeposition. Biomaterials 33:4044–4058
Chai YC et al (2012c) Mechanisms of ectopic bone formation by human osteoprogenitor cells on CaP biomaterial carriers. Biomaterials 33:3127–3142
Charles-Harris M, Koch MA, Navarro M, Lacroix D, Engel E, Planell JA (2008) A PLA/calcium phosphate degradable composite material for bone tissue engineering: an in vitro study. J Mater Sci Mater Med 19:1503–1513
Danoux CB et al (2015) Elucidating the individual effects of calcium and phosphate ions on hMSCs by using composite materials. Acta Biomater 17:1–15
Dash S, Murthy PN, Nath L, Chowdhury P (2010) Kinetic modeling on drug release from controlled drug delivery systems. Acta Pol Pharm 67:217–223
Fredenberg S, Wahlgren M, Reslow M, Axelsson A (2011) The mechanisms of drug release in poly (lactic-co-glycolic acid)-based drug delivery systems—a review. Int J Pharm 415:34–52
Frenning G (2003) Theoretical investigation of drug release from planar matrix systems: effects of a finite dissolution rate. J Control Release 92:331–339
Frenning G (2004) Theoretical analysis of the release of slowly dissolving drugs from spherical matrix systems. J Control Release 95:109–117
Frenning G, Strømme M (2003) Drug release modeled by dissolution, diffusion, and immobilization. Int J Pharm 250:137–145
Frenning G, Tunón Å, Alderborn G (2003) Modelling of drug release from coated granular pellets. J Control Release 92:113–123
Frenning G, Brohede U, Strømme M (2005) Finite element analysis of the release of slowly dissolving drugs from cylindrical matrix systems. J Control Release 107:320–329
Gao P, Fagerness PE (1995) Diffusion in HPMC gels. I. Determination of drug and water diffusivity by pulsed-field-gradient spin-echo NMR. Pharm Res 12:955–964
Guyot Y, Papantoniou 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 20:251–266
Hong M-H, Kim S-M, Om J-Y, Kwon N, Lee Y-K (2014) Seeding cells on calcium phosphate scaffolds using hydrogel enhanced osteoblast proliferation and differentiation. Ann Biomed Eng 42:1424–1435
Horbett T, Waldburger J, Ratner B, Hoffman A (1988) Cell adhesion to a series of hydrophili-hydrophobic copolymers studies with a spinning disc apparatus. J Biomed Mater Res 22:383–404
Karadzic I, Vucic V, Jokanovic V, Debeljak-Martacic J, Markovic D, Petrovic S, Glibetic M (2015) Effects of novel hydroxyapatite-based 3D biomaterials on proliferation and osteoblastic differentiation of mesenchymal stem cells. J Biomed Mater Res Part A 103:350–357
Kaunisto E, Tajarobi F, Abrahmsen-Alami S, Larsson A, Nilsson B, Axelsson A (2013) Mechanistic modelling of drug release from a polymer matrix using magnetic resonance microimaging. Eur J Pharm Sci 48:698–708
Lanao RPF, Leeuwenburgh SC, Wolke JG, Jansen JA (2011) Bone response to fast-degrading, injectable calcium phosphate cements containing PLGA microparticles. Biomaterials 32:8839–8847
Lao LL, Peppas NA, Boey FYC, Venkatraman SS (2011) Modeling of drug release from bulk-degrading polymers. Int J Pharm 418:28–41
Lobo SE, Glickman R, da Silva WN, Arinzeh TL, Kerkis I (2015) Response of stem cells from different origins to biphasic calcium phosphate bioceramics. Cell Tissue Res 361: 477–495
Masaro L, Zhu X (1999) Physical models of diffusion for polymer solutions, gels and solids. Prog Polym Sci 24:731–775
Mazón P, García-Bernal D, Meseguer-Olmo L, Cragnolini F, Piedad N (2015) Human mesenchymal stem cell viability, proliferation and differentiation potential in response to ceramic chemistry and surface roughness. Ceram Int 41:6631–6644
Mezahi F, Oudadesse H, Harabi A, Lucas-Girot A, Le Gal Y, Chaair H, Cathelineau G (2009) Dissolution kinetic and structural behaviour of natural hydroxyapatite vs. thermal treatment. J Therm Anal Calorim 95:21–29
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
Polakovič M, Görner T, Gref R, Dellacherie E (1999) Lidocaine loaded biodegradable nanospheres: II. Modelling of drug release. J Control Release 60:169–177
Ribeiro AC, Barros MC, Teles AS, Valente AJ, Lobo VM, Sobral AJ, Esteso M (2008) Diffusion coefficients and electrical conductivities for calcium chloride aqueous solutions at 298.15 K and 310.15 K. Electrochimica Acta 54:192–196
Roberts SJ, Geris L, Kerckhofs G, Desmet E, Schrooten J, Luyten FP (2011) The combined bone forming capacity of human periosteal derived cells and calcium phosphates. Biomaterials 32:4393–4405
Shannon RT (1976) Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides. Acta Crystallogr Sect A Cryst Phys Diffr Theor Gen Crystallogr 32:751–767
Shih Y-RV et al (2014) Calcium phosphate-bearing matrices induce osteogenic differentiation of stem cells through adenosine signaling. Proc Natl Acad Sci 111:990–995
Siepmann J, Göpferich A (2001) Mathematical modeling of bioerodible, polymeric drug delivery systems. Adv Drug Deliv Rev 48:229–247
Siepmann J, Siepmann F (2008) Mathematical modeling of drug delivery. Int J Pharm 364:328–343
Siepmann J, Peppas NA (2011) Higuchi equation: derivation, applications, use and misuse. Int J Pharm 418:6–12
Siepmann J, Siepmann F (2013) Mathematical modeling of drug dissolution. Int J Pharm 453:12–24
Siepmann J, Kranz H, Bodmeier R, Peppas N (1999) HPMC-matrices for controlled drug delivery: a new model combining diffusion, swelling, and dissolution mechanisms and predicting the release kinetics. Pharm Res 16:1748–1756
Snorradóttir BS, Jónsdóttir F, Sigurdsson ST, Thorsteinsson F, Másson M (2013) Numerical modelling and experimental investigation of drug release from layered silicone matrix systems. Eur J Pharm Sci 49:671–678
Sonnaert M, Luyten FP, Schrooten J, Papantoniou I (2015) Bioreactor-based online recovery of human progenitor cells with uncompromised regenerative potential: a bone tissue engineering perspective. PloS ONE 10:e0136875
Sun X, Kang Y, Bao J, Zhang Y, Yang Y, Zhou X (2013) Modeling vascularized bone regeneration within a porous biodegradable CaP scaffold loaded with growth factors. Biomaterials 34:4971–4981
Wu L, Ding J (2005) Effects of porosity and pore size on in vitro degradation of three-dimensional porous poly (D, L-lactide-co-glycolide) scaffolds for tissue engineering. J Biomed Mater Res Part A 75:767–777
Young M, Carroad P, Bell R (1980) Estimation of diffusion coefficients of proteins. Biotechnol Bioeng 22:047–955
