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Review

A brief review of mathematical models of thin film growth and surfaces

A possible route to avoid defects in stents

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Article: e28871 | Received 15 Dec 2013, Accepted 12 Apr 2014, Published online: 21 Apr 2014

References

  • Barabasi A, Stanley HE. Fractal concepts in surface growth. Cambridge University Press, Great Britain, 1995.
  • PuuruneRL. Random Deposition as a Growth Mode in Atomic Layer Deposition. Chemical Vapor Deposition2004; 10:159 - 170; http://dx.doi.org/10.1002/cvde.200306283
  • FamilyF., VicsekT. Scaling of the active zone in the Eden process on percolation networks and the ballistic deposition model. Journal of Physics1985; A18:L75 - L81
  • ForgeriniFL, FigueiredoW. Random deposition of particles of different sizes. Phys Rev E Stat Nonlin Soft Matter Phys2009; 79:041602; http://dx.doi.org/10.1103/PhysRevE.79.041602; PMID: 19518240
  • ForgeriniFL, FigueiredoW. Thin-film growth by random deposition of linear polymers on a square lattice. Phys Rev E Stat Nonlin Soft Matter Phys2010; 81:051603; http://dx.doi.org/10.1103/PhysRevE.81.051603; PMID: 20866235
  • EdwardsSF, WilkinsonDR. The surface statistics of a granular aggregate. D. R. Proc. R. Soc. London.1982; A381:17 - 31; http://dx.doi.org/10.1098/rspa.1982.0056
  • LouY, ChristodesDP. Estimation and control of surface roughness in thin “lm growth using kinetic Monte-Carlo models. Chem Eng Sci2003; 58:3115 - 29; http://dx.doi.org/10.1016/S0009-2509(03)00166-0
  • HuG, OrkoulasG, ChristodesDP. Modeling and control of film porosity in thin film deposition. Chem Eng Sci2009; 64:3668 - 82; http://dx.doi.org/10.1016/j.ces.2009.05.008
  • KardarM, ParisiG, ZhangYC. Dynamic scaling of growing interfaces. Phys Rev Lett1986; 56:889 - 92; http://dx.doi.org/10.1103/PhysRevLett.56.889; PMID: 10033312
  • HuG, OrkoulasG, ChristodesDP. Regulation of film thickness, surface roughness and porosity in thin film growth using deposition rate. Chem Eng Sci2009; 64:3903 - 13; http://dx.doi.org/10.1016/j.ces.2009.05.034
  • HuangJ, HuG, OrkoulasG, ChristodesDP. Dependence of film surface roughness and slope on surface migration and lattice size in thin film deposition processes. Chem Eng Sci2010; 65:6101 - 11; http://dx.doi.org/10.1016/j.ces.2010.08.035
  • ZhangX, HuG, OrkoulasG, ChristodesDP. Predictive control of surface mean slope and roughness in a thin film deposition process. Chem Eng Sci2010; 65:4720 - 31; http://dx.doi.org/10.1016/j.ces.2010.05.025
  • LiX, KeP, HeZ, WangA. Structural properties and growth evolution of diamond-like carbon films with different incident energies: A molecular dynamics study. Appl Surf Sci2013; 273:670 - 5; http://dx.doi.org/10.1016/j.apsusc.2013.02.108
  • NeuvilleS. Quantum electronic mechanisms of atomic rearrangements during growth of hard carbon films. Surf Coat Tech2011; 206:703 - 26; http://dx.doi.org/10.1016/j.surfcoat.2011.07.055
  • RobertsonSW, RitchieRO. In vitro fatigue-crack growth and fracture toughness behavior of thin-walled superelastic Nitinol tube for endovascular stents: A basis for defining the effect of crack-like defects. Biomaterials2007; 28:700 - 9; http://dx.doi.org/10.1016/j.biomaterials.2006.09.034; PMID: 17034845
  • JedwabMR, ClercCO. A study of the geometrical and mechanical properties of a self-expanding metallic stent--theory and experiment. J Appl Biomater1993; 4:77 - 85; http://dx.doi.org/10.1002/jab.770040111; PMID: 10148348
  • KaragkiozakiV, KaragiannidisPG, KalfagiannisN, KavatzikidouP, PatsalasP, GeorgiouD, LogothetidisS. Novel nanostructured biomaterials: implications for coronary stent thrombosis. Int J Nanomedicine2012; 7:6063 - 76; PMID: 23269867
  • LaiZ, Das SarmaS. Kinetic growth with surface relaxation: Continuum versus atomistic models. Phys Rev Lett1991; 66:2348 - 51; http://dx.doi.org/10.1103/PhysRevLett.66.2348; PMID: 10043462
  • HaleP, TurgeonS, HornyP, LewisF, BrackN, Van RiessenG, PigramP, MantovaniD. X-ray photoelectron emission microscopy and time-of-flight secondary ion mass spectrometry analysis of ultrathin fluoropolymer coatings for stent applications. Langmuir2008; 24:7897 - 905; http://dx.doi.org/10.1021/la8002788; PMID: 18616223