Yuan YANG, Nenghui ZHANG, Hanlin LIU, Jiawei LING, Zouqing TAN . Piezoelectric and flexoelectric effects of DNA adsorbed films on microcantilevers[J]. Applied Mathematics and Mechanics, 2023 , 44(9) : 1547 -1562 . DOI: 10.1007/s10483-023-3026-5

[1] YANG, W., HU, Y., and PAN, E. Electronic band energy of a bent ZnO piezoelectric semiconductor nanowire. Applied Mathematics and Mechanics (English Edition), 41(5), 833-844(2020) https://doi.org/10.1007/s10483-020-2619-7
[2] YAN, Y., MA, X., MIEN, N., HA, S. H., AHN, H., ABEN, D., KIM, K., KIM, J. M., OH, J. W., SHIN, D. M., and HWANG, Y. H. Quadrant-electroded nanogenerators for decoupling piezoelectricity and flexoelectricity in the electromechanical outputs in flexible devices. Nano Energy, 104, 107909(2022)
[3] WANG, L., LIU, S., FENG, X., ZHANG, C., ZHU, L., ZHAI, J., QIN, Y., and WANG, Z. L. Flexoelectronics of centrosymmetric semiconductors. Nature Nanotechnology, 15(8), 661-667(2020)
[4] YUDIN, P. V. and TAGANTSEV, A. K. Fundamentals of flexoelectricity in solids. Nanotechnology, 24(43), 432001(2013)
[5] AHMADPOOR, F. and SHARMA, P. Flexoelectricity in two-dimensional crystalline and biological membranes. Nanoscale, 7(40), 16555-16570(2015)
[6] SHANG, H., LIANG, X., DENG, F., HU, S., and SHEN, S. Flexoelectricity in wrinkled thin films. International Journal of Mechanical Sciences, 234, 107685(2022)
[7] ZHENG, Y., HUANG, B., YI, L., MA, T., XIE, L., and WANG, J. Nonlinear thickness-shear vibration of an infinite piezoelectric plate with flexoelectricity based on the method of multiple scales. Applied Mathematics and Mechanics (English Edition), 43(5), 653-666(2022) https://doi.org/10.1007/s10483-022-2842-7
[8] ZENG, S., WANG, K., WANG, B., and WU, J. Vibration analysis of piezoelectric sandwich nanobeam with flexoelectricity based on nonlocal strain gradient theory. Applied Mathematics and Mechanics (English Edition), 41(4), 859-880(2020) https://doi.org/10.1007/s10483-020-2620-8
[9] WANG, A. B., TIAN, Y., LIU, C. B., and CUI, F. Numerical calculation of liquid crystal cells with free-state upper plates based on the liquid crystalline backflow effects (in Chinese). Applied Mathematics and Mechanics, 38(11), 1222-1229(2017)
[10] MEYER, R. B. Piezoelectric effects in liquid crystals. Physical Review Letters, 22(18), 918-921(1969)
[11] STREY, H., PARSEGIAN, V., and PODGORNIK, R. Equation of state for polymer liquid crystals: theory and experiment. Physical Review E, 59(1), 999-1008(1998)
[12] LI, Z., NIU, T., ZHANG, Z., CHEN, R., FENG, G., and BI, S. Electrochemical studies on the permeable characteristics of thiol-modified double-stranded DNA self-assembled monolayers on gold. Analyst, 136(10), 2090-2099(2011)
[13] BOSCO, A., BANO, F., PARISSE, P., CASALIS, L., DESIMONE, A., and MICHELETTI, C. Hybridization in nanostructured DNA monolayers probed by AFM: theory versus experiment. Nanoscale, 4(5), 1734-1741(2012)
[14] ZUBKO, P., CATALAN, G., and TAGANTSEV, A. K. Flexoelectric effect in solids. Annual Review of Materials Research, 43(1), 387-421(2013)
[15] KALININ, S., JESSE, S., LIU, W., and BALANDIN, A. Evidence for possible flexoelectricity in tobacco mosaic viruses used as nanotemplates. Applied Physics Letters, 88(15), 3902-3903(2006)
[16] LUN, Y., ZHOU, H., YAO, D., WANG, X., and HONG, J. Screening piezoelectricity in determination of flexoelectric coefficient at nanoscale. Mechanics of Materials, 150, 103591(2020)
[17] ANDO, Y. and FUKADA, E. Piezoelectric properties of oriented deoxyribonucleate films. Journal of Polymer Science: Polymer Physics Edition, 14(1), 63-79(1976)
[18] LIU, F., ZHANG, Y., and OUYANG, Z. C. Flexoelectric origin of nanomechanic deflection in DNA-microcantilever system. Biosensors and Bioelectronics, 18(5-6), 655-660(2003)
[19] YANG, Y., ZHANG, N. H., ZHOU, M. H., and WU, J. Z. Piezoelectric properties of adsorbed DNA films and its influence on detection signals for microbeam biosensors. 202015th Symposium on Piezoelectricity, Acoustic Waves and Device Applications (SPAWDA), IEEE, Piscataway, 21-25(2021)
[20] CHEN, Y. C. Study on Mechano-electro-chemical Coupling Model and Mechanical Response of DNA-Microbeam Biosensor (in Chinese), M. Sc. dissertation, Changzhou University, 9-29(2021)
[21] ZHANG, N. H. and SHAN, J. Y. An energy model for nanomechanical deflection of cantilever-DNA chip. Journal of the Mechanics and Physics of Solids, 56(6), 2328-2337(2008)
[22] ZHANG, N. H. Inverse piezoelectricity of single-stranded DNA film on microcantilever. IEEE Transactions on Dielectrics and Electrical Insulation, 22(3), 1376-1380(2015)
[23] WU, C. X., ZHANG, N. H., ZHANG, C. Y., and WU, J. Z. Regulation of thermoelastic properties of concave-packaged DNA adsorption films and its relevant microcantilever detection signals. Acta Mechanica Sinica, 37(4), 705-711(2021)
[24] BRACHA, D., KARZBRUN, E., SHEMER, G., PINCUS, P., and BAR-ZIV, R. Entropy-driven collective interactions in DNA brushes on a biochip. Proceedings of the National Academy of Sciences of the United States of America, 110(12), 4534-4538(2013)
[25] HUANG, L., SEKER, E., LANDERS, J., BEGLEY, M., and UTZ, M. Molecular interactions in surface-assembled monolayers of short double-stranded DNA. Langmuir, 26(13), 11574-11580(2010)
[26] MENG, W. L., ZHANG, N. H., TANG, H. S., and TAN, Z. Q. Influence of disordered packing pattern on elastic modulus of single-stranded DNA film on substrate. Biomechanics and Modelling in Mechanobiology, 14(5), 1157-1165(2015)
[27] REN, Q. and ZHAO, Y. P. Influence of surface stress on frequency of microcantilever-based biosensors. Microsystem Technologies, 10(4), 307-314(2004)
[28] ZHANG, J. Q., YU, S. W., FENG, X. Q., and WANG, G. F. Theoretical analysis of adsorption-induced microcantilever bending. Journal of Applied Physics, 103(9), 093506(2008)
[29] YI, X. and DUAN, H. L. Surface stress induced by interactions of adsorbates and its effect on deformation and frequency of microcantilever sensors. Journal of the Mechanics and Physics of Solids, 57(8), 1254-1266(2009)
[30] ZHANG, N. H., WU, C. X., YANG, Y., and WU, J. Z. Adjustable frequency shift of laminated DNA microbeam under complex detection conditions by different packaging patterns. Composite Structures, 292(5464), 115652(2022)
[31] WU, G., JI, H. F., HANSEN, K., THUNDAT, T., DATAR, R., COTE, R., HAGAN, M., CHAKRABORTY, A., and MAJUMDAR, A. Origin of nanomechanical cantilever motion generated from biomolecular interactions. Proceedings of the National Academy of Sciences of the United States of America, 98(4), 1560-1564(2001)
[32] JEON, S., JUNG, N., and THUNDAT, T. Nanomechanics of a self-assembled monolayer on microcantilever sensors measured by a multiple-point deflection technique. Sensors and Actuators B: Chemical, 122(2), 365-368(2007)
[33] TAMAYO, J., RUZ, J., PINI, V., KOSAKA, P., and CALLEJA, M. Quantification of the surface stress in microcantilever biosensors: revisiting Stoney's equation. Nanotechnology, 23(47), 475702(2012)
[34] MERTENS, J., ROGERO, C., CALLEJA, M., RAMOS, D., MARTIN-GAGO, J. A., BRIONES, C., and TAMAYO, J. Label-free detection of DNA hybridization based on hydration-induced tension in nucleic acid films. Nature Nanotechnology, 3(5), 301-307(2008)
[35] WANG, Y., YAN, T., MEI, K., RAO, D., WU, W., CHEN, Y., PENG, Y., WANG, J., WU, S., and ZHANG, Q. Nanomechanical assay for ultrasensitive and rapid detection of SARS-CoV-2 based on peptide nucleic acid. Nano Research, 16(1), 1183-1195(2022)
[36] HAGAN, M., MAJUMDAR, A., and CHAKRABORTY, A. Nanomechanical forces generated by surface grafted DNA. Journal of Physical Chemistry B, 106(39), 10163-10173(2002)