The mechanics of tip growth morphogenesis: What we have learned from rubber balloons

Journal of Mechanics of Materials and Structures

Volumn 2, Issue 6, 2007, Pages 1157-1168

  Bernal, Roberto ^a   Rojas, Enrique R ^b   Dumais, Jacques ^a  

^a HARVARD UNIVERSITY   (United States)

^b HARVARD UNIVERSITY   (United States)

Author keywords

Anisotropy; Cell morphogenesis; Inhomogeneity; Rubber ballon; Thin pressurized shell; Tip growth

Indexed keywords

EID: 34548672884     PISSN: 15593959     EISSN: None     Source Type: Journal    
DOI: 10.2140/jomms.2007.2.1157     Document Type: Article

References (18)

1. [Castle 1958] E. S. Castle, "The topography of tip growth in a plant cell", J. Gen. Physiol. 41:5 (1958), 913-926.
2. [Chater and Hutchinson 1984] E. Chater and J. W. Hutchinson, "On the propagation of bulges and buckles", J. Appl. Mech. (Trans. ASME) 51 (1984), 269-277.
3. [Chen 1973] J. C. W. Chen, "The kinetics of tip growth in the Nitella rhizoid", Plant Cell Physiol. 14:4 (1973), 631-640.
4. [Dumais et al. 2004] J. Dumais, S. R. Long, and S. L. Shaw, "The mechanics of surface expansion anisotropy in Medicago truncatula root hairs", Plant Physiol. 136 (2004), 3266-3275.
5. [Dumais et al. 2006] J. Dumais, S. L. Shaw, C. R. Steele, S. R. Long, and P. M. Ray, "An anisotropic-viscoplastic model of plant cell morphogenesis by tip growth", Int. J. Dev. Biol. 50 (2006), 209-222.
6. [Flügge 1973] W. Flügge, Stresses in shells, 2nd ed., Springer, Berlin, 1973.
7. [Green and King 1966] P. B. Green and A. King, "A mechanism for the origin of specifically oriented textures in development with special reference to Nitella wall texture", Aust. J. Biol. Sci. 19 (1966), 421-437.
8. [Harold 1990] F. M. Harold, "To shape a cell: an inquiry into the causes of morphogenesis of microorganisms", Microbiol. Rev. 54:4 (1990), 381-431.
9. [Hejnowicz et al. 1977] Z. Hejnowicz, B. Heinemann, and A. Sievers, "Tip growth: Patterns of growth rate and stress in the Chara rhizoid", Zeitung der Pflanzenphysiologie 81 (1977), 409-424.
10. [Kyriakides and Chang 1991] S. Kyriakides and Y. C. Chang, "The initiation and propagation of a localized instability in an inflated elastic tube", Int. J. Solids Struct. 27:9 (1991), 1085-1111.
11. [Ogden 1972] R. W. Ogden, "Large deformation isotropic elasticity: on the correlation of theory and experiment for incompressible rubberlike solids", P. Roy. Soc. Lond. A Mat. 326:1567 (1972), 565-584.
12. [Reinhardt 1892] M. O. Reinhardt, "Das Wachsthum der Pilzhyphen", Jahrbücher für wissenschaftliche Botanik 23 (1892), 479-566.
13. [Shaw et al. 2000] S. L. Shaw, J. Dumais, and S. R. Long, "Cell surface expansion in polarly growing root hairs of Medicago truncatula", Plant Physiol. 124 (2000), 959-970.
14. [Steele 2000] C. R. Steele, "Shell stability related to pattern formation in plants", J. Appl. Mech. (Trans. ASME) 67:2 (2000), 237-247.
15. [Thompson 1942] D. W. Thompson, On growth and form, 2nd ed., Cambridge Univ. Press, Cambridge, 1942. Reprinted by Dover, New York, 1992.
16. [Treloar et al. 1976] L. R. G. Treloar, H. G. Hopkins, R. S. Rivlin, and J. M. Ball, "The mechanics of rubber elasticity", P. Roy. Soc. Lond. A Mat. 351:1666 (1976), 301-330.
17. [Vincent 1990] J. F. V. Vincent, Structural biomaterials, Princeton University Press, Princeton, 1990.
18. [Vogel 2003] S. Vogel, Comparative biomechanics: life's physical world, Princeton University Press, Princeton, 2003.