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Mimicking the pattern formation of fruits and leaves using gel materials

  • Chen, Li (Department of Civil and Environmental Engineering, National University of Singapore) ;
  • Zhang, Yang (Department of Civil and Environmental Engineering, National University of Singapore) ;
  • Swaddiwudhipong, Somsak (Department of Civil and Environmental Engineering, National University of Singapore) ;
  • Liu, Zishun (International Center for Applied Mechanics, State Key Laboratory for Strength and Vibration of Mechanical Structure, Xi'an Jiaotong University)
  • 투고 : 2013.12.05
  • 심사 : 2013.12.31
  • 발행 : 2014.06.10

초록

Gel materials have recently gained more attention due to its unique capability of large and reversible volumetric changes. This study explores the possibility of mimicking the pattern formation of certain natural fruits during their growing process and leaves during drying processes through the swelling and de-swelling of gel materials. This will hopefully provide certain technical explanations on the morphology of fruits and plants. We adopt the inhomogeneous field gel theory to predict the deformation configurations of gel structures to describe the morphology of natural fruits and plants. The growing processes of apple and capsicum are simulated by imposing appropriate boundary conditions and field loading via varying the chemical potential from their immature to mature stages. The drying processes of three types of leaves with different vein structures are also investigated. The simulations lead to promising results and demonstrate that pattern formation of fruits and plants may be described from mechanical perspective by the behavior of gel materials based on the inhomogeneous field theory.

키워드

참고문헌

  1. Censi, R., Di Martino, P., Vermonden, T. and Hennink, W.E. (2012), "Hydrogels for protein delivery in tissue engineering", J. Control. Rel., 161(2), 680-692. https://doi.org/10.1016/j.jconrel.2012.03.002
  2. Chang, L.Y., Niu, Q.L., Miao, Y.B., He, S.P., Cui,C. and Huang, D.F. (2011), "Modeling study of fruit morphological formation in melon", Agricul. Sci. China, 10(5), 714-720. https://doi.org/10.1016/S1671-2927(11)60054-0
  3. Drury, J.L. and Mooney, D.J. (2003), "Hydrogels for tissue engineering: scaffold design variables and applications", Biomater., 24(24), 4337-4351. https://doi.org/10.1016/S0142-9612(03)00340-5
  4. Dumais, J., and Steele, C.R. (2000), "New evidence for the role of mechanical forces in the shoot apical meristem", J. Plant Grow. Regul., 19(1), 7-18. https://doi.org/10.1007/s003440000003
  5. Flory P.J. and Rehner J.J. (1943), "Statistical mechanics of cross-linked polymer networks II. swelling", J. Chem. Phys., 11(11) 521-526.
  6. Fujita, H. and Mochizuki, A. (2006), "The origin of the diversity of leaf venation pattern", Develop. Dyn., 235(10), 2710-2721. https://doi.org/10.1002/dvdy.20908
  7. Georget, D.M.R., Smith, A.C. and Waldron, K.W. (2003), "Modelling of carrot tissue as a fluid-filled foam", J. Mater. Sci., 38, 1933-1938. https://doi.org/10.1023/A:1023552430136
  8. Givnish, T.J. (1987), "Comparative studies of leaf form: assessing the relative roles of selective pressures and phylogenetic constraints", New Phytol., 106, 131-160.
  9. Green, A.A., Kennaway, J.R., Hanna, A.I., Andrew Bangham, J. and Coen, E. (2010), "Genetic control of organ shape and tissue polarity", PLoS Biology, 8(11), e1000537. https://doi.org/10.1371/journal.pbio.1000537
  10. Hong, W., Liu, Z.S. and Suo, Z.G. (2009), "Inhomogeneous swelling of a gel in equilibrium with a solvent and mechanical load", Int. J. Solid. Struct., 46(17), 3282-3289. https://doi.org/10.1016/j.ijsolstr.2009.04.022
  11. Horkay, F. and McKenna, G. (2007), Polymer Networks and Gels, Physical Properties of Polymers Handbook, Springer, New York City, USA.
  12. Kang, M.K. and Huang, R. (2010), "Swell-induced surface instability of confined hydrogel layers on substrates", J. Mech. Phys. Solid., 58, 1582-1598. https://doi.org/10.1016/j.jmps.2010.07.008
  13. Kleverlaan, M., Van Noort, R.H. and Jones, I. (2005), "Deployment of swelling elastomer packers in shell E&P", 421-425, SPE/IADC Drilling, Conference, Amsterdam, February.
  14. Li, B., Cao, Y.P., Feng, X.Q. and Gao, H.J. (2012), "Mechanics of morphological instabilities and surface wrinkling in soft materials: a review", Soft Matter, 8(21), 5728-5745. https://doi.org/10.1039/c2sm00011c
  15. Liu, Z.S., Hong, W., Suo, Z.G., Swaddiwudhipong, S. and Zhang, Y. (2010), "Modeling and simulation of buckling of polymeric membrane thin film gel", Comput. Mater. Sci., 49(1 SUPPL), S60-S64. https://doi.org/10.1016/j.commatsci.2009.12.036
  16. Liu, Z.S. Swaddiwudhipong, S., Cui, F.F., Hong, W., Suo, Z.G. and Zhang, Y.W. (2011), "Analytical Solutions of Polymeric Gel Structures under Buckling and Wrinkle", Int. J. Appl. Mech., 3(2) 235-257.
  17. Liu, Z.S., Swaddiwudhipong, S. and Hong, W. (2013), "Pattern formation in plants via instability theory of hydrogels", Soft Matter, 9(2), 577-587. https://doi.org/10.1039/c2sm26642c
  18. Newman, J.M., Hilton, H.W., Clifford, S.C. and Smith, A.C. (2005), "The mechanical properties of lettuce: A comparison of some agronomic and postharvest effects", J. Mater. Sci., 40, 1101-1104 https://doi.org/10.1007/s10853-005-6923-3
  19. Niklas, K.J. (1989), "Mechanical behavior of plant tissues as inferred from the theory of pressurized cellular solids", Am. J. Botany, 76(6), 929-937. https://doi.org/10.2307/2444549
  20. Wu, Z., Bouklas, N. and Huang, R. (2013), "Swell-induced surface instability of hydrogel layers with material properties varying in thickness direction", Int. J. Solid. Struct., 50, 578-587. https://doi.org/10.1016/j.ijsolstr.2012.10.022
  21. Yin, J., Cao, Z., Li, C., Sheinman, I. and Chen, X. (2008), "Stress-driven buckling patterns in spheroidal core/shell structures", Proc. Natl. Acad. Sci. USA, 105(49), 19132-19135. https://doi.org/10.1073/pnas.0810443105
  22. Yin, J., Chen, X. and Sheinman, I. (2009), "Anisotropic buckling patterns in spheroidal film/substrate systems and their implications in some natural and biological systems", J. Mech. Phys. Solid., 57(9), 1470-1484. https://doi.org/10.1016/j.jmps.2009.06.002

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