An energy model for nanomechanical deflection of cantilever-DNA chip

Journal of the Mechanics and Physics of Solids - Tập 56 - Trang 2328-2337 - 2008
Neng-Hui Zhang1,2, Jin-Ying Shan2
1Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200444, China
2Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China

Tài liệu tham khảo

Alvarez, 2004, Nanomechanics of the formation of DNA self-assembled monolayers and hybridization on microcantilevers, Langmiur, 20, 9663, 10.1021/la0489559 Carrascosa, 2006, Nanomechanical biosensors: a new sensing tool, Trends Anal. Chem., 25, 196, 10.1016/j.trac.2005.09.006 de Gennes, 1979 Freund, 1996, Some elementary connections between curvature and mismatch strain in compositionally graded thin films, J. Mech. Phys. Solids, 44, 723, 10.1016/0022-5096(96)00008-7 Fritz, 2000, Translating biomolecular recognition into nanomechanics, Science, 288, 316, 10.1126/science.288.5464.316 Hagan, 2002, Nanomechanical forces generated by surface grafted DNA, J. Phys. Chem. B, 106, 10163, 10.1021/jp020972o Hansen, 2005, Microcantilever biosensors, Methods, 37, 57, 10.1016/j.ymeth.2005.05.011 Herne, 1997, Characterization of DNA probes immobilized on gold surfaces, J. Am. Chem. Soc., 119, 8916, 10.1021/ja9719586 Klug, 2003, A director-field model of DNA packaging in viral capsids, J. Mech. Phys. Solids, 51, 1815, 10.1016/S0022-5096(03)00071-1 Leiken, 1993, Hydration forces, Annu. Rev. Phys. Chem., 44, 369, 10.1146/annurev.pc.44.100193.002101 Liu, 2003, Flexoelectric origin of nanomechanic deflection in DNA-microcantilever system, Biosens. Bioelectron., 18, 655, 10.1016/S0956-5663(03)00047-2 McKendry, 2002, Multiple label-free biodetection and quantitative DNA-binding assays on a nanomechanical cantilever array, Proc. Nat. Acad. Sci. USA, 99, 9783, 10.1073/pnas.152330199 Meyer, 1969, Piezoelectric effects in liquid crystals, Phys. Rev. Lett., 22, 918, 10.1103/PhysRevLett.22.918 Podgornik, 1990, Molecular fluctuations in the packing of polymeric liquid crystals, Macromolecules, 23, 2265, 10.1021/ma00210a023 Podgornik, 1994, Parametrization of direct and soft steric-undulatory forces between DNA double helical polyelectrolytes in solutions of several different anions and cations, Biophys. J., 66, 962, 10.1016/S0006-3495(94)80877-X Prashant, 2003, Force steps during viral DNA packaging?, J. Mech. Phys. Solids, 52, 2239 Rau, 1984, Measurement of the repulsive force between polyelectrolyte molecules in ionic solution: hydration forces between parallel DNA double helices, Proc. Nat. Acad. Sci. USA, 81, 2621, 10.1073/pnas.81.9.2621 Stachowiak, 2006, Chemomechanics of surface stresses induced by DNA hybridization, Langmuir, 22, 263, 10.1021/la0521645 Steel, 2000, Immobilization of nucleic acids at solid surfaces: effect of oligonucleotide length on layer assembly, Biophys. J., 79, 975, 10.1016/S0006-3495(00)76351-X Strey, 1997, Equation of state for DNA liquid crystals: fluctuation enhanced electrostatic double layer repulsion, Phys. Rev. Lett., 78, 895, 10.1103/PhysRevLett.78.895 Strey, 1999, Equation of state for polymer liquid crystals: theory and experiment, Phys. Rev. E, 59, 999, 10.1103/PhysRevE.59.999 Wu, 2001, Origin of nanomechanical cantilever motion generated from biomolecular interactions, Proc. Nat. Acad. Sci. USA, 98, 1560, 10.1073/pnas.031362498 Yue, 2004, A 2-D microcantilever array for multiplexed biomolecular analysis, J. Microelectromech. Syst., 13, 290, 10.1109/JMEMS.2003.823216 Zhang, 2007, Thermoelastic stresses in multilayered beams, Thin Solid Films, 515, 8402, 10.1016/j.tsf.2007.05.003 Zhang, N.H., Chen, J.Z., 2008. An alternative two-variable model for bending problems of multilayered beams. J. Appl. Mech., to appear. Zhang, 2006, An alternative model for elastic bending deformation of multilayered beams, J. Appl. Phys., 100, 103519, 10.1063/1.2372578 Zhang, N.H., Xing, J.J., Shan, J.Y., 2007a. Multiscale simulation for nanomechanical behavior of gene chips in label-free biodetection. In: Proceedings of Fifth International Conference on Nonlinear Mechanics, Shanghai, Shanghai University Press, June, pp. 562–565. Zhang, 2007, Piezoelectric properties of single-strand DNA molecular brush biolayers, Acta Mech. Sol. Sin., 20, 206, 10.1007/s10338-007-0724-y