메뉴 건너뛰기




Volumn 61, Issue 2, 2013, Pages 398-427

Morphoelastic rods. Part I: A single growing elastic rod

Author keywords

Buckled ring; Buckling instability; Kirchhoff rods; Morphoelasticity; Rod on foundation

Indexed keywords

BUCKLING INSTABILITIES; BULK GROWTH; CONSTITUTIVE LAW; ELASTIC ROD; KIRCHHOFF ELASTIC RODS; KIRCHHOFF ROD; MORPHOELASTICITY; MULTIPLICATIVE DECOMPOSITION; RIGID SUBSTRATES;

EID: 84871400789     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2012.09.017     Document Type: Article
Times cited : (98)

References (129)
  • 1
    • 47849092227 scopus 로고    scopus 로고
    • Growth and remodeling in a thick-walled artery model: Effects of spatial variations in wall constituents
    • Alford, P.W.; Humphrey, J.D.; Taber, L.A.; 2007. Growth and remodeling in a thick-walled artery model: effects of spatial variations in wall constituents. Biomech. Model Mechanobiol. 7, 245262.
    • (2007) Biomech. Model Mechanobiol. , vol.7 , pp. 245262
    • Alford, P.W.1    Humphrey, J.D.2    Taber, L.A.3
  • 5
    • 36749121933 scopus 로고
    • Theory of twisting and bending of chain macromolecules; Analysis of the fluorescence depolorization of DNA
    • Barkley, M.D.; Zimm, B.H.; 1979. Theory of twisting and bending of chain macromolecules; analysis of the fluorescence depolorization of DNA. J. Chem. Phys. 70.
    • (1979) J. Chem. Phys. , vol.70
    • Barkley, M.D.1    Zimm, B.H.2
  • 6
    • 0024605679 scopus 로고
    • Differential growth and plant tropism: A study assisted by computer simulation
    • Barlow, P.W.; Brain, P.; Adam, J.S.; 1989. Differential growth and plant tropism: a study assisted by computer simulation. Environ. Exp. Bot. 29.
    • (1989) Environ. Exp. Bot. , vol.29
    • Barlow, P.W.1    Brain, P.2    Adam, J.S.3
  • 7
    • 0000424101 scopus 로고
    • Twining of the hop (Humulus lupulus L)
    • Bell, P.R.; 1958. Twining of the hop (Humulus lupulus L). Nature 181, 10091010.
    • (1958) Nature , vol.181 , pp. 10091010
    • Bell, P.R.1
  • 8
    • 23844451870 scopus 로고    scopus 로고
    • Growth and instability in elastic tissues
    • Ben Amar, M.; Goriely, A.; 2005. Growth and instability in elastic tissues. J. Mech. Phys. Solids 53, 22842319.
    • (2005) J. Mech. Phys. Solids , vol.53 , pp. 22842319
    • Ben Amar, M.1    Goriely, A.2
  • 9
    • 84871444133 scopus 로고
    • An elastic model of the large structure of duplex DNA
    • Benham, C.J.; 1979. An elastic model of the large structure of duplex DNA. Bioploymers 18, 609623.
    • (1979) Bioploymers , vol.18 , pp. 609623
    • Benham, C.J.1
  • 10
    • 0020856954 scopus 로고
    • Geometry and mechanics of DNA superhelicity
    • Benham, C.J.; 1983. Geometry and mechanics of DNA superhelicity. Biopolymers 22, 247 72495.
    • (1983) Biopolymers , vol.22 , pp. 24772495
    • Benham, C.J.1
  • 12
    • 0002763438 scopus 로고
    • Bending of an infinite beam on an elastic foundation
    • Biot, M.A.; 1922. Bending of an infinite beam on an elastic foundation. Z. Angew. Math. Mech. 2 (3), 165184.
    • (1922) Z. Angew. Math. Mech. , vol.2 , Issue.3 , pp. 165184
    • Biot, M.A.1
  • 13
    • 0021329617 scopus 로고
    • Axonal growth in response to experimentally applied mechanical tension
    • Bray, D.; 1984. Axonal growth in response to experimentally applied mechanical tension. Dev. Biol. 102 (2), 379.
    • (1984) Dev. Biol. , vol.102 , Issue.2 , pp. 379
    • Bray, D.1
  • 15
    • 0242640130 scopus 로고
    • Higher mode buckling of bimetallic beam
    • Burgreen, D.; Regal, D.; 1971. Higher mode buckling of bimetallic beam. J. Eng. Mech. Div.-ASCE 97 (4), 10451056.
    • (1971) J. Eng. Mech. Div.-ASCE , vol.97 , Issue.4 , pp. 10451056
    • Burgreen, D.1    Regal, D.2
  • 16
    • 69949162370 scopus 로고    scopus 로고
    • Helical growth of the Arabidopsis mutant tortifolia2 does not depend on cell division patterns but involves handed twisting of isolated cells
    • Buschmann, H.; Hauptmann, M.; Niessing, D.; Lloyd, C.W.; Schffner, A.R.; 2009. Helical growth of the Arabidopsis mutant tortifolia2 does not depend on cell division patterns but involves handed twisting of isolated cells. Plant Cell 21(7), 2090.
    • (2009) Plant Cell , vol.21 , Issue.7 , pp. 2090
    • Buschmann, H.1    Hauptmann, M.2    Niessing, D.3    Lloyd, C.W.4    Schffner, A.R.5
  • 17
    • 0030918841 scopus 로고    scopus 로고
    • Cytomechanics of neurite outgrowth from chick brain neurons
    • May
    • Chada, S.; Lamoureux, P.; Buxbaum, R.E.; Heidemann, SR.; 1997. Cytomechanics of neurite outgrowth from chick brain neurons. J. Cell Sci. 110 (May (Pt 10)), 11791186.
    • (1997) J. Cell Sci. , vol.110 , Issue.PART 10 , pp. 11791186
    • Chada, S.1    Lamoureux, P.2    Buxbaum, R.E.3    Heidemann, S.R.4
  • 18
    • 26444482373 scopus 로고    scopus 로고
    • Primary root growth: A biophysical model of auxin-related control
    • Chavarria-Krauser, A.; Jager, W.; Schurr, U.; 2005. Primary root growth: a biophysical model of auxin-related control. Funct. Plant Biol. 32, 849862.
    • (2005) Funct. Plant Biol. , vol.32 , pp. 849862
    • Chavarria-Krauser, A.1    Jager, W.2    Schurr, U.3
  • 19
    • 0037119524 scopus 로고    scopus 로고
    • Buckling of extensible thermoelastic rods
    • Cisternas, J.; Holmes, P.; 2002. Buckling of extensible thermoelastic rods. Math. Comput. Modelling 36 (3), 233243.
    • (2002) Math. Comput. Modelling , vol.36 , Issue.3 , pp. 233243
    • Cisternas, J.1    Holmes, P.2
  • 21
    • 0000312790 scopus 로고
    • A theoretical model for tilts of bipolar magnetic regions
    • DaSilva, S.; Chouduri, A.R.; 1993. A theoretical model for tilts of bipolar magnetic regions. Astron. Astrophys. 272, 621.
    • (1993) Astron. Astrophys. , vol.272 , pp. 621
    • Dasilva, S.1    Chouduri, A.R.2
  • 22
    • 0024791323 scopus 로고
    • The cytomechanics of axonal elongation and retraction
    • December
    • Dennerll, T.J.; Lamoureux, P.; Buxbaum, R.E.; Heidemann, SR.; 1989. The cytomechanics of axonal elongation and retraction. J. Cell Biol. 109 (December (6 Pt 1)), 30733083.
    • (1989) J. Cell Biol. , vol.109 , Issue.6 PART 1 , pp. 30733083
    • Dennerll, T.J.1    Lamoureux, P.2    Buxbaum, R.E.3    Heidemann, S.R.4
  • 23
    • 0001945212 scopus 로고    scopus 로고
    • Hamiltonian formulations and symmetries in rod mechanics
    • Dichmann, D.J.; Li, Y.; Maddocks,J.H.; 1996. Hamiltonian formulations and symmetries in rod mechanics. IMA Vol. Math. AppI. 82, 71114.
    • (1996) IMA Math. AppI. , vol.82 , pp. 71114
    • Dichmann, D.J.1    Li, Y.2    Maddocks, J.H.3
  • 26
    • 16544374488 scopus 로고    scopus 로고
    • The mechanics of surface expansion anisotropy in medicago truncatula root hairs
    • Dumais, J.; Long, SR.; Shaw, S.L, 2004. The mechanics of surface expansion anisotropy in medicago truncatula root hairs. Plant Physiol. 136, 32663275.
    • (2004) Plant Physiol. , vol.136 , pp. 32663275
    • Dumais, J.1    Long, S.R.2    Shaw, S.L.3
  • 27
    • 34547655761 scopus 로고    scopus 로고
    • Biomechanical modelling of colorectal crypt budding and fission
    • Edwards, C.M.; Chapman, S.J.; 2007. Biomechanical modelling of colorectal crypt budding and fission. Bull. Math. Biol. 69 (6), 19271942.
    • (2007) Bull. Math. Biol. , vol.69 , Issue.6 , pp. 19271942
    • Edwards, C.M.1    Chapman, S.J.2
  • 28
    • 0023648107 scopus 로고
    • Vibrations and buckling of a beam on a variable winkler elastic foundation
    • Eisenberger, M.; Clastornik, J.; 1987. Vibrations and buckling of a beam on a variable winkler elastic foundation. J. Sound Vib. 115 (2), 23324 1.
    • (1987) J. Sound Vib. , vol.115 , Issue.2 , pp. 233241
    • Eisenberger, M.1    Clastornik, J.2
  • 29
    • 28444435706 scopus 로고
    • Mechanical model of scoliosis
    • Entov, V.M.; 1983. Mechanical model of scoliosis. Mech. Solids 18.
    • (1983) Mech. Solids , vol.18
    • Entov, V.M.1
  • 30
    • 0000923077 scopus 로고
    • Elemental growth rate of the primary root of Zea mays
    • Erickson, R.O.; Sax, KB.; 1956. Elemental growth rate of the primary root of Zea mays. Proc. Am. Philos. Soc. 100 (5), 487498.
    • (1956) Proc. Am. Philos. Soc. , vol.100 , Issue.5 , pp. 487498
    • Erickson, R.O.1    Sax, K.B.2
  • 31
    • 55349148656 scopus 로고    scopus 로고
    • Modeling the growth and branching of plants: A simple rod-based model
    • Faruk Senan, N.A.; OReilly, O.M.; Tresierras, T.N.; 2008. Modeling the growth and branching of plants: a simple rod-based model. J. Mech. Phys. Solids 56 (10), 30213036.
    • (2008) J. Mech. Phys. Solids , vol.56 , Issue.10 , pp. 30213036
    • Faruk Senan, N.A.1    Oreilly, O.M.2    Tresierras, T.N.3
  • 33
    • 0000088370 scopus 로고
    • Mechanics of standing trees: Modelling a growing structure submitted to continuous and fluctuating loads. 2. Tridimensional analysis of maturation stresses. case of standard hardwood Lcambial growthj
    • Fournier, M.; Chanson, B.; Thibaut, B.; Guitard, D.; 1991. Mechanics of standing trees: modelling a growing structure submitted to continuous and fluctuating loads. 2. Tridimensional analysis of maturation stresses. case of standard hardwood Lcambial growthj. In: Annales des Sciences Forestieres, vol. 48.
    • (1991) Annales des Sciences Forestieres , vol.48
    • Fournier, M.1    Chanson, B.2    Thibaut, B.3    Guitard, D.4
  • 35
    • 0036944879 scopus 로고    scopus 로고
    • Tropisms of Avena coleoptiles: Sine law for gravitropism, exponential law for photogravitropic equilibrium
    • Galland, P.; 2002. Tropisms of Avena coleoptiles: sine law for gravitropism, exponential law for photogravitropic equilibrium. Planta 215 (5), 779784.
    • (2002) Planta , vol.215 , Issue.5 , pp. 779784
    • Galland, P.1
  • 36
    • 33749016227 scopus 로고    scopus 로고
    • Dynamic buckling of morphoelastic filaments
    • Goldstein, R.E.; Goriely, A.; 2006. Dynamic buckling of morphoelastic filaments. Phys. Rev. E 74, 010901.
    • (2006) Phys. Rev. e , vol.74 , pp. 010901
    • Goldstein, R.E.1    Goriely, A.2
  • 37
    • 0001678450 scopus 로고
    • The Kortewegde Vries hierarchy as dynamics of closed curves in the plane
    • Goldstein, R.E.; Petrich, D.M.; 1991. The Kortewegde Vries hierarchy as dynamics of closed curves in the plane. Phys. Rev. Lett. 67.
    • (1991) Phys. Rev. Lett. , vol.67
    • Goldstein, R.E.1    Petrich, D.M.2
  • 39
    • 33746032175 scopus 로고    scopus 로고
    • Twisted elastic rings and the rediscoveries of Michells instability
    • Goriely, A.; 2006. Twisted elastic rings and the rediscoveries of Michells instability. J. Elasticity 84 (3), 281299.
    • (2006) J. Elasticity , vol.84 , Issue.3 , pp. 281299
    • Goriely, A.1
  • 41
    • 33750567312 scopus 로고    scopus 로고
    • Mechanics of climbing and attachment in twining plants
    • Goriely, A.; Neukirch, S.; 2006. Mechanics of climbing and attachment in twining plants. Phys. Rev. Lett. 97 (18), 184302.
    • (2006) Phys. Rev. Lett. , vol.97 , Issue.18 , pp. 184302
    • Goriely, A.1    Neukirch, S.2
  • 42
    • 0002803267 scopus 로고    scopus 로고
    • Nonlinear dynamics of filaments I: Dynamical instabilities
    • Goriely, A.; Tabor, M.; 1997a. Nonlinear dynamics of filaments I: Dynamical instabilities. Physica D 105, 2044.
    • (1997) Physica D , vol.105 , pp. 2044
    • Goriely, A.1    Tabor, M.2
  • 43
    • 22244457390 scopus 로고    scopus 로고
    • Nonlinear dynamics of filaments II: Nonlinear analysis
    • Goriely, A.; Tabor, M.; 1997b. Nonlinear dynamics of filaments II: Nonlinear analysis. Physica D 105, 4561.
    • (1997) Physica D , vol.105 , pp. 4561
    • Goriely, A.1    Tabor, M.2
  • 44
    • 0001031397 scopus 로고    scopus 로고
    • Spontaneous helix-hand reversal and tendril perversion in climbing plants
    • Goriely, A.; Tabor, M.; 1998. Spontaneous helix-hand reversal and tendril perversion in climbing plants. Phys. Rev. Lett. 80, 15641567.
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 15641567
    • Goriely, A.1    Tabor, M.2
  • 45
    • 0033874539 scopus 로고    scopus 로고
    • The nonlinear dynamics of filaments
    • Goriely, A.; Tabor, M.; 2000. The nonlinear dynamics of filaments. Nonlinear Dyn. 21(1), 101133.
    • (2000) Nonlinear Dyn. , vol.21 , Issue.1 , pp. 101133
    • Goriely, A.1    Tabor, M.2
  • 46
    • 0037460096 scopus 로고    scopus 로고
    • Biomechanical models of hyphal growth in actinomycetes
    • Goriely, A.; Tabor, M.; 2003a. Biomechanical models of hyphal growth in actinomycetes.J. Theor. Biol. 222, 211218.
    • (2003) J. Theor. Biol. , vol.222 , pp. 211218
    • Goriely, A.1    Tabor, M.2
  • 47
    • 0038476138 scopus 로고    scopus 로고
    • Self-similar tip growth in filamentary organisms
    • Goriely, A.; Tabor, M.; 2003b. Self-similar tip growth in filamentary organisms. Phys. Rev. Lett. 90 (10), 108101.
    • (2003) Phys. Rev. Lett. , vol.90 , Issue.10 , pp. 108101
    • Goriely, A.1    Tabor, M.2
  • 48
    • 79960644056 scopus 로고    scopus 로고
    • Spontaneous Rotational Inversion in Phycomyces
    • Goriely, A.; Tabor, M.; 2011. Spontaneous Rotational Inversion in Phycomyces. Phys. Rev. Lett. 106 (13), 138103.
    • (2011) Phys. Rev. Lett. , vol.106 , Issue.13 , pp. 138103
    • Goriely, A.1    Tabor, M.2
  • 49
    • 77955130831 scopus 로고    scopus 로고
    • On the mechanical stability of growing arteries
    • Goriely, A.; Vandiver, R.; 2010. On the mechanical stability of growing arteries. IMAJ. AppI. Math.; 75 (4), 549570. http://dx.doi.org/10.1093/imamatJ hxq021.
    • (2010) IMAJ. AppI. Math. , vol.75 , Issue.4 , pp. 549570
    • Goriely, A.1    Vandiver, R.2
  • 51
  • 52
    • 24344481368 scopus 로고    scopus 로고
    • Growth induced curve dynamics for filamentary micro-organisms
    • Goriely, A.; Karolyi, G.; Tabor, M.; 2005. Growth induced curve dynamics for filamentary micro-organisms. J. Math. Biol. 51(3), 355366.
    • (2005) J. Math. Biol. , vol.51 , Issue.3 , pp. 355366
    • Goriely, A.1    Karolyi, G.2    Tabor, M.3
  • 53
    • 84871410826 scopus 로고    scopus 로고
    • Elastic growth models. In: Mondaini, R.; Pardalos, P.M. (Eds.), Mathematical Modelling of Biosystems
    • Springer
    • Goriely, A.; Robertson-Tessi, M.; Tabor, M.; Vandiver, R.; 2008. Elastic growth models. In: Mondaini, R.; Pardalos, P.M. (Eds.), Mathematical Modelling of Biosystems. Applied Optimization, vol. 12.. Springer.
    • (2008) Applied Optimization , vol.12
    • Goriely, A.1    Robertson-Tessi, M.2    Tabor, M.3    Vandiver, R.4
  • 54
    • 0025362541 scopus 로고
    • Apical hyphal extension in streptomyces coelicolor A3(2)
    • Gray, DI.; Gooday, G.W.; Prosser, J.I.; 1990. Apical hyphal extension in streptomyces coelicolor A3(2). J. Gen. Microbiol. 136, 1077.
    • (1990) J. Gen. Microbiol. , vol.136 , pp. 1077
    • Gray, D.I.1    Gooday, G.W.2    Prosser, J.I.3
  • 55
    • 0014738575 scopus 로고
    • Non-isothermal theory of rods, plates and shells
    • Green, A.E.; Naghdi, P.M.; 1970. Non-isothermal theory of rods, plates and shells. Int. J. Solids Struct. 6 (2), 209244.
    • (1970) Int. J. Solids Struct. , vol.6 , Issue.2 , pp. 209244
    • Green, A.E.1    Naghdi, P.M.2
  • 56
    • 0018707065 scopus 로고
    • On thermal effects in the theory of rods
    • Green, A.E.; Naghdi, P.M.; 1979. On thermal effects in the theory of rods. Int.J. Solids Struct. 15(11), 829853.
    • (1979) Int.J. Solids Struct. , vol.15 , Issue.11 , pp. 829853
    • Green, A.E.1    Naghdi, P.M.2
  • 57
    • 84871443732 scopus 로고    scopus 로고
    • A new mathematical framework for modelling the biomechanics of growing trees with rod theory
    • Guillon, T.; Dumont, Y.; Fourcaud, T.; 2011. A new mathematical framework for modelling the biomechanics of growing trees with rod theory. Math. Comput. Modeling.
    • (2011) Math. Comput. Modeling
    • Guillon, T.1    Dumont, Y.2    Fourcaud, T.3
  • 58
    • 0000450212 scopus 로고    scopus 로고
    • Spontaneous curvature-induced dynamical instability of Kirchhoff filaments: Application to DNA kink deformations
    • Haijun, Z.; Zhong-Can, O.-Y.; 1999. Spontaneous curvature-induced dynamical instability of Kirchhoff filaments: application to DNA kink deformations. J. Chem. Phys. 110.
    • (1999) J. Chem. Phys. , vol.110
    • Haijun, Z.1    Zhong-Can, O.-Y.2
  • 61
    • 0031218118 scopus 로고    scopus 로고
    • Graviresponses in herbs and trees: A major role for the redistribution of tissue and growth stresses
    • Hejnowicz, Z.; 1997. Graviresponses in herbs and trees: a major role for the redistribution of tissue and growth stresses. Planta 203 (5), 136146.
    • (1997) Planta , vol.203 , Issue.5 , pp. 136146
    • Hejnowicz, Z.1
  • 62
    • 0037013180 scopus 로고    scopus 로고
    • Wall tissue remodeling regulates longitudinal tension in arteries
    • Jackson, Z.S.; Gotlieb, Al.; Langille, B.L.; 2002. Wall tissue remodeling regulates longitudinal tension in arteries. Circ. Res. 90 (8), 918925.
    • (2002) Circ. Res. , vol.90 , Issue.8 , pp. 918925
    • Jackson, Z.S.1    Gotlieb, Al.2    Langille, B.L.3
  • 63
    • 0025384799 scopus 로고
    • Knotted vortex filament in an ideal fluid
    • Keener, J.P.; 1990. Knotted vortex filament in an ideal fluid. J. Fluid Mech. 211.
    • (1990) J. Fluid Mech. , vol.211
    • Keener, J.P.1
  • 65
    • 0008186491 scopus 로고    scopus 로고
    • Dynamics of twist and writhe and the modeling of bacterial fibers
    • Mesirov, J.; Schuiten, K.; Summers, De Witt (Eds.) Springer
    • Klapper, I.; Tabor, M.; 1996. Dynamics of twist and writhe and the modeling of bacterial fibers. In: Mesirov, J.; Schuiten, K.; Summers, De Witt (Eds.), Mathematical Approaches to Biomolecular Structure and Dynamics. Springer.
    • (1996) Mathematical Approaches to Biomolecular Structure and Dynamics
    • Klapper, I.1    Tabor, M.2
  • 66
    • 0028131472 scopus 로고
    • The problem of hyphal growth in streptomycetes and fungi
    • Koch, AL, 1994. The problem of hyphal growth in streptomycetes and fungi. J. Theor. Biol. 171 (2), 137150.
    • (1994) J. Theor. Biol. , vol.171 , Issue.2 , pp. 137150
    • Koch, A.L.1
  • 67
    • 0013130429 scopus 로고
    • The problem of hyphal growth in streptomycetes and fungi
    • Koch, A.L. (Ed.) Chapman & Hall, New York
    • Koch, A.L.; 1995. The problem of hyphal growth in streptomycetes and fungi. In: Koch, A.L. (Ed.), Bacterial Growth and Form. Chapman & Hall, New York.
    • (1995) Bacterial Growth and Form
    • Koch, A.L.1
  • 69
    • 36749118289 scopus 로고
    • Rigid body motions, space curves, prolongation structures, fiber bundles, and solitons
    • Lakshmanan, M.; 1979. Rigid body motions, space curves, prolongation structures, fiber bundles, and solitons. J. Math. Phys. 20.
    • (1979) J. Math. Phys. , vol.20
    • Lakshmanan, M.1
  • 70
    • 36749108084 scopus 로고
    • Solitons on moving space curves
    • Lamb Jr.; G.L, 1977. Solitons on moving space curves. J. Math. Phys. 18.
    • (1977) J. Math. Phys. , vol.18
    • Lamb Jr., G.L.1
  • 71
    • 0024381605 scopus 로고
    • Direct evidence that growth cones pull
    • July
    • Lamoureux, P.; Buxbaum, R.E.; Heidemann, SR.; 1989. Direct evidence that growth cones pull. Nature 340 (July (6229)), 159162.
    • (1989) Nature , vol.340 , Issue.6229 , pp. 159162
    • Lamoureux, P.1    Buxbaum, R.E.2    Heidemann, S.R.3
  • 72
    • 0026648334 scopus 로고
    • A cytomechanical investigation of neurite growth on different culture surfaces
    • August
    • Lamoureux, P.; Zheng,J.; Buxbaum, R.E.; Heidemann, SR.; 1992. A cytomechanical investigation of neurite growth on different culture surfaces. J. Cell Biol. 118 (August (3)), 655661.
    • (1992) J. Cell Biol. , vol.118 , Issue.3 , pp. 655661
    • Lamoureux, P.1    Zheng, J.2    Buxbaum, R.E.3    Heidemann, S.R.4
  • 73
    • 0037064613 scopus 로고    scopus 로고
    • Mechanical tension can specify axonal fate in hippocampal neurons
    • November
    • Lamoureux, Phillipsnm, Ruthel, Gordon, Buxbaum, Robert E.; Heidemann, Steven R.; 2002. Mechanical tension can specify axonal fate in hippocampal neurons. J. Cell Biol. 159 (November (3)), 499508.
    • (2002) J. Cell Biol. , vol.159 , Issue.3 , pp. 499508
    • Lamoureux, P.1    Ruthel, G.2    Buxbaum, R.E.3    Heidemann, S.R.4
  • 74
    • 73949095432 scopus 로고    scopus 로고
    • Growth and elongation within and along the axon
    • February
    • Lamoureux, Phillip, Heidemann, Steven R.; Martzke, Nathan R.; Miller, Kyle E.; 2010. Growth and elongation within and along the axon. Dev. Neurobiol. 70 (February (3)), 135149.
    • (2010) Dev. Neurobiol. , vol.70 , Issue.3 , pp. 135149
    • Lamoureux, P.1    Heidemann, S.R.2    Martzke, N.R.3    Miller, K.E.4
  • 76
    • 0001131969 scopus 로고
    • The post-buckling problem for thin elastic shells
    • Lange, C.G.; Newell, A.C.; 1971. The post-buckling problem for thin elastic shells. SIAM J. AppI. Math. 21.
    • (1971) SIAM J. AppI. Math. , vol.21
    • Lange, C.G.1    Newell, A.C.2
  • 79
    • 0034894261 scopus 로고    scopus 로고
    • Stability of n-covered circles for elastic rods with constant planar intrinsic curvature
    • Manning, R.S.; Hoffman, K.A.; 2001. Stability of n-covered circles for elastic rods with constant planar intrinsic curvature. J. Elasticity 62.
    • (2001) J. Elasticity , vol.62
    • Manning, R.S.1    Hoffman, K.A.2
  • 80
    • 0000323998 scopus 로고    scopus 로고
    • A continuum rod model of sequence-dependent DNA structure
    • Manning, R.S.; Maddocks, J.H.; Kahn, J.D.; 1996. A continuum rod model of sequence-dependent DNA structure. J. Chem. Phys. 105, 56265646.
    • (1996) J. Chem. Phys. , vol.105 , pp. 56265646
    • Manning, R.S.1    Maddocks, J.H.2    Kahn, J.D.3
  • 82
    • 0038441296 scopus 로고    scopus 로고
    • Tendril perversion in intrinsically curved rods
    • McMillen, T.; Goriely, A.; 2002. Tendril perversion in intrinsically curved rods. J. Nonlinear Sci. 12 (3), 241281.
    • (2002) J. Nonlinear Sci. , vol.12 , Issue.3 , pp. 241281
    • McMillen, T.1    Goriely, A.2
  • 83
    • 0001478135 scopus 로고
    • Helical Bacillus subtilis macrofibers: Morphogenesis of a bacterial multicellular microorganism
    • Mendelson, N.H.; 1978. Helical Bacillus subtilis macrofibers: morphogenesis of a bacterial multicellular macroorganism. Proc NatI. Acad. Sd. USA 75, 1978.
    • (1978) Proc NatI. Acad. Sd. USA , vol.75 , pp. 1978
    • Mendelson, N.H.1
  • 84
    • 1142290570 scopus 로고
    • On the stability of a bent and twisted wire
    • Michell, J.H.; 1889. On the stability of a bent and twisted wire. Messenger Math. 11.
    • (1889) Messenger Math. , vol.11
    • Michell, J.H.1
  • 85
    • 0019987312 scopus 로고
    • Tension: The basis of umbilical cord growth
    • DOI 10.1016/S0022-3476(82)80344-2
    • Miller, A.E.;Jones, M.C.; Smith, D.W.; 1982. Tension: the basis of umbilical cord growth. J. Pediatr. 101, 844. (Pubitemid 12006728)
    • (1982) Journal of Pediatrics , vol.101 , Issue.5 , pp. 844
    • Miller, M.E.1    Jones, M.C.2    Smith, D.W.3
  • 86
    • 67650859608 scopus 로고    scopus 로고
    • The power and control of gravitropic movements in plants: A biomechanical and systems biology view
    • Moulia, B.; Fournier, M.; 2009. The power and control of gravitropic movements in plants: a biomechanical and systems biology view. J. Exp. Bot. 60 (2), 461.
    • (2009) J. Exp. Bot. , vol.60 , Issue.2 , pp. 461
    • Moulia, B.1    Fournier, M.2
  • 87
    • 33750488720 scopus 로고    scopus 로고
    • Posture control and skeletal mechanical acclimation in terrestrial plants: Implications for mechanical modeling of plant architecture
    • Moulia, B.; Coutand, C.; Lenne, C.; 2006. Posture control and skeletal mechanical acclimation in terrestrial plants: implications for mechanical modeling of plant architecture. Am. J. Bot 93 (10), 1477.
    • (2006) Am. J. Bot , vol.93 , Issue.10 , pp. 1477
    • Moulia, B.1    Coutand, C.2    Lenne, C.3
  • 89
    • 0032246289 scopus 로고    scopus 로고
    • Root-growth behavior of the Arabidopsis mutant rgrl. Roles of gravitropism and circumnutation in the waving/coiling phenomenon
    • Mullen, J.L.; Turk, E.; Johnson, K.; Wolverton, C.; Ishikawa, H.; Simmons, C.; SoIl, D.; Evans, ML, 1998. Root-growth behavior of the Arabidopsis mutant rgrl. Roles of gravitropism and circumnutation in the waving/coiling phenomenon. Plant Physiol. 118 (4), 1139.
    • (1998) Plant Physiol. , vol.118 , Issue.4 , pp. 1139
    • Mullen, J.L.1    Turk, E.2    Johnson, K.3    Wolverton, C.4    Ishikawa, H.5    Simmons, C.6    Soil, D.7    Evans, M.L.8
  • 91
    • 80055072934 scopus 로고    scopus 로고
    • Vibrations of post-buckled rods: The singular inextensible limit
    • Neukirch, S.; Frelat, J.; Goriely, A.; Maurini, C.; 2012. Vibrations of post-buckled rods: the singular inextensible limit J. Sound Vib. 331 (3), 704720.
    • (2012) J. Sound Vib. , vol.331 , Issue.3 , pp. 704720
    • Neukirch, S.1    Frelat, J.2    Goriely, A.3    Maurini, C.4
  • 92
    • 78651228781 scopus 로고    scopus 로고
    • On the Static Equilibria of Branched Elastic Rods
    • 2010.11.008
    • O'Reilly, O.M.; Tresierras, T.N.; 2011. On the Static Equilibria of Branched Elastic Rods. mU. Eng. Sci.; 49(2), 212227. http://dx.doi.org/10.1016/ j.ijengsci. 2010.11.008.
    • (2011) MU. Eng. Sci. , vol.49 , Issue.2 , pp. 212227
    • O'Reilly, O.M.1    Tresierras, T.N.2
  • 93
    • 84871424485 scopus 로고    scopus 로고
    • On the evolution of intrinsic curvature in rod-based models of growth in long slender plant stems
    • O'Reilly, O.M.; Tresierras, T.N.; 2010. On the evolution of intrinsic curvature in rod-based models of growth in long slender plant stems. mt. j. Solids Struct..
    • (2010) Mt. J. Solids Struct.
    • O'Reilly, O.M.1    Tresierras, T.N.2
  • 94
    • 41649088250 scopus 로고    scopus 로고
    • A physical model of axonal elongation: Force, viscosity, and adhesions govern the mode of outgrowth
    • O'Toole, M.; Lamoureux, P.; Miller, ICE.; 2008. A physical model of axonal elongation: force, viscosity, and adhesions govern the mode of outgrowth. Biophys. J. 94 (7), 26102620.
    • (2008) Biophys. J. , vol.94 , Issue.7 , pp. 26102620
    • O'Toole, M.1    Lamoureux, P.2    Miller, I.C.E.3
  • 95
    • 0025083338 scopus 로고
    • Reversible root tip rotation in Arabidopsis seedlings induced by obstacle-touching stimulus
    • Okada, IC, Shimura, Y.; 1990. Reversible root tip rotation in Arabidopsis seedlings induced by obstacle-touching stimulus. Science 250 (4978), 274.
    • (1990) Science , vol.250 , Issue.4978 , pp. 274
    • Okada, I.C.1    Shimura, Y.2
  • 96
    • 0035395730 scopus 로고    scopus 로고
    • Fluctuating elastic rings: Statics and dynamics
    • Panyukov, S.; Rabin, Y.; 2001. Fluctuating elastic rings: statics and dynamics. Phys. Rev. E 64, #0011909.
    • (2001) Phys. Rev. e , vol.64
    • Panyukov, S.1    Rabin, Y.2
  • 97
    • 0030153784 scopus 로고    scopus 로고
    • The history of tissue tension
    • Peters, W.S.; Tomos, A.D.; 1996. The history of tissue tension. Ann. Bot.-London 77 (6), 657665.
    • (1996) Ann. Bot.-London , vol.77 , Issue.6 , pp. 657665
    • Peters, W.S.1    Tomos, A.D.2
  • 99
    • 0032452370 scopus 로고    scopus 로고
    • Terminal twist induced continuous writhe of a circular rod with intrinsic curvature
    • Qian, H.; White, J.H.; 1998. Terminal twist induced continuous writhe of a circular rod with intrinsic curvature. J. Biomol. Struct. Dyn. 16.
    • (1998) J. Biomol. Struct. Dyn. , vol.16
    • Qian, H.1    White, J.H.2
  • 100
    • 0031214342 scopus 로고    scopus 로고
    • Theoretical study of the effect of stress-dependent remodeling on arterial geometry under hypertensive conditions
    • Rachev, A.; 1997. Theoretical study of the effect of stress-dependent remodeling on arterial geometry under hypertensive conditions. J. Biomech. 30, 8 19827.
    • (1997) J. Biomech. , vol.30 , pp. 819827
    • Rachev, A.1
  • 101
    • 0242317245 scopus 로고    scopus 로고
    • Biological growth and remodeling: A uniaxial example with possible application to tendons and ligaments
    • Rao, LJ.; Humphrey, J.D.; Rajagopal, KR.; 2003. Biological growth and remodeling: a uniaxial example with possible application to tendons and ligaments. Comput. Modeling Eng. Sci. 4 (3/4), 439456.
    • (2003) Comput. Modeling Eng. Sci. , vol.4 , Issue.3-4 , pp. 439456
    • Rao, L.J.1    Humphrey, J.D.2    Rajagopal, K.R.3
  • 103
    • 84912802922 scopus 로고
    • The growth process in fungi
    • Robertson, N.F.; 1968. The growth process in fungi. Annu. Rev. Phytopathol. 6(1), 115136.
    • (1968) Annu. Rev. Phytopathol. , vol.6 , Issue.1 , pp. 115136
    • Robertson, N.F.1
  • 104
    • 0028419679 scopus 로고
    • Stress-dependent finite growth in soft elastic tissue
    • Rodriguez, E.IC, Hoger, A.; McCulloch, A.; 1994. Stress-dependent finite growth in soft elastic tissue. J. Biomech. 27, 455467.
    • (1994) J. Biomech. , vol.27 , pp. 455467
    • Rodriguez, E.I.C.1    Hoger, A.2    McCulloch, A.3
  • 105
    • 84977284386 scopus 로고
    • Architecture and growth of the primary cell wall in some plant hairs and in the phycomyces sporangiophore
    • Roelofsen, P.A.; Houwink, A.L.; 1953. Architecture and growth of the primary cell wall in some plant hairs and in the phycomyces sporangiophore. Acta Bot. Neerl. 2, 218225.
    • (1953) Acta Bot. Neerl. , vol.2 , pp. 218225
    • Roelofsen, P.A.1    Houwink, A.L.2
  • 107
    • 0033738407 scopus 로고    scopus 로고
    • Cell surface expansion in polarly growing root hairs of medicago truncatula
    • Shaw, S.L.; Dumais, J.; Long, SR.; 2000. Cell surface expansion in polarly growing root hairs of medicago truncatula. Plant Physiol. 124, 959969.
    • (2000) Plant Physiol. , vol.124 , pp. 959969
    • Shaw, S.L.1    Dumais, J.2    Long, S.R.3
  • 108
    • 0000216631 scopus 로고    scopus 로고
    • On the dynamics of helical strips
    • Shipman, P.; Goriely, A.; 2000. On the dynamics of helical strips. Phys. Rev. E 61.
    • (2000) Phys. Rev. e , vol.61
    • Shipman, P.1    Goriely, A.2
  • 109
    • 38249021749 scopus 로고
    • On the curving and twining of stems
    • Silk, W.K.; 1989. On the curving and twining of stems. Environ. Exper. Bot. 29, 95109.
    • (1989) Environ. Exper. Bot. , vol.29 , pp. 95109
    • Silk, W.K.1
  • 110
    • 0000861961 scopus 로고
    • Growth of the stem of Pharbitis nil: Analysis of longitudinal and radial components
    • Silk, W.K.; Haidar, A.; 1986. Growth of the stem of Pharbitis nil: analysis of longitudinal and radial components. Phisiol. Veg. 24.
    • (1986) Phisiol. Veg. , vol.24
    • Silk, W.K.1    Haidar, A.2
  • 112
    • 0001773156 scopus 로고
    • Growth as a finite displacement field
    • Carlson, D.E.; Shield, R.T. (Eds.) Martinus Nijhoff, The Hague
    • Skalak, R.; 1981. Growth as a finite displacement field. In: Carlson, D.E.; Shield, R.T. (Eds.), Proceedings of the IUTAM Symposium on Finite Elasticity. Martinus Nijhoff, The Hague.
    • (1981) Proceedings of the IUTAM Symposium on Finite Elasticity
    • Skalak, R.1
  • 114
    • 79960129611 scopus 로고    scopus 로고
    • Plant stems: Functional design and mechanics
    • Speck, T.; Burgert, I.; 2011. Plant stems: functional design and mechanics. Annu. Rev. Mater. Res. 41, 169193.
    • (2011) Annu. Rev. Mater. Res. , vol.41 , pp. 169193
    • Speck, T.1    Burgert, I.2
  • 115
    • 0000600751 scopus 로고
    • Motion of magnetic flux tubes in the solar convection zone and chromosphere
    • Spruit, H.C.; 1981. Motion of magnetic flux tubes in the solar convection zone and chromosphere. Astron. Astrophys. 98, 155.
    • (1981) Astron. Astrophys. , vol.98 , pp. 155
    • Spruit, H.C.1
  • 116
    • 0034206659 scopus 로고    scopus 로고
    • Shell stability related to pattern formation in plants
    • Steele, C.R.; 2000. Shell stability related to pattern formation in plants. J. AppI. Mech. 67.
    • (2000) J. AppI. Mech. , vol.67
    • Steele, C.R.1
  • 117
    • 0011180659 scopus 로고
    • The deformation of a rod of growing biological material under longitudinal compression
    • Stein, A.A.; 1995. The deformation of a rod of growing biological material under longitudinal compression. J. AppI. Math. Mech. 59, 1995.
    • (1995) J. AppI. Math. Mech. , vol.59 , pp. 1995
    • Stein, A.A.1
  • 118
    • 0035668366 scopus 로고    scopus 로고
    • Stress-modulated growth, residual stress, and vascular heterogeneity
    • Taber, LA.; Humphrey,J.D.; 2001. Stress-modulated growth, residual stress, and vascular heterogeneity. J. Biomech. Eng. 123, 528535.
    • (2001) J. Biomech. Eng. , vol.123 , pp. 528535
    • Taber, L.A.1    Humphrey, J.D.2
  • 120
    • 0001764380 scopus 로고
    • Analysis of bi-metal thermostats
    • Timoshenko, S.P.; 1925. Analysis of bi-metal thermostats. J. Opt. Soc. Am. 11(3), 233255.
    • (1925) J. Opt. Soc. Am. , vol.11 , Issue.3 , pp. 233255
    • Timoshenko, S.P.1
  • 121
    • 0027577107 scopus 로고
    • The effect of intrinsic curvature on supercoilingpredictions of elasticity theory
    • Tobias, I.; Olson, W.K.; 1993. The effect of intrinsic curvature on supercoilingpredictions of elasticity theory. Biopolymers 33, 639646.
    • (1993) Biopolymers , vol.33 , pp. 639646
    • Tobias, I.1    Olson, W.K.2
  • 122
    • 0000417766 scopus 로고    scopus 로고
    • A class of exact dynamical solutions in the elastic rod model of DNA with implications for the theory of fluctuations in the torsional motion of plasmids
    • Tobias, I.; Coleman, B.D.; Lembo, M.; 1996. A class of exact dynamical solutions in the elastic rod model of DNA with implications for the theory of fluctuations in the torsional motion of plasmids. J. Chem. Phys. 105, 25172526.
    • (1996) J. Chem. Phys. , vol.105 , pp. 25172526
    • Tobias, I.1    Coleman, B.D.2    Lembo, M.3
  • 123
    • 69649101860 scopus 로고    scopus 로고
    • Tissue tension and axial growth of cylindrical structures in plants and elastic tissues
    • Vandiver, R.; Goriely, A.; 2008. Tissue tension and axial growth of cylindrical structures in plants and elastic tissues. Europhys. Lett. 84 (58004).
    • (2008) Europhys. Lett. , vol.84
    • Vandiver, R.1    Goriely, A.2
  • 125
    • 0001665109 scopus 로고    scopus 로고
    • Asymptotic and RayleighRitz routes to localized buckling solutions in an elastic instability problem
    • Wadee, M.K.; Hunt, G.W.; Whiting, AIM.; 1997. Asymptotic and RayleighRitz routes to localized buckling solutions in an elastic instability problem. Proc. R. Soc. London. Ser. A: Math. Phys. Eng. Sci. 453 (965), 20852107.
    • (1997) Proc. R. Soc. London. Ser. A: Math. Phys. Eng. Sci. , vol.453 , Issue.965 , pp. 20852107
    • Wadee, M.K.1    Hunt, G.W.2    Whiting, A.I.M.3
  • 126
    • 1142303893 scopus 로고    scopus 로고
    • Dynamic supercoiling bifurcations of growing elastic filaments
    • Wolgemuth, C.W.; Goldstein, R.E.; Powers, T.R.; 2004. Dynamic supercoiling bifurcations of growing elastic filaments. Physica D 190 (3), 266289.
    • (2004) Physica D , vol.190 , Issue.3 , pp. 266289
    • Wolgemuth, C.W.1    Goldstein, R.E.2    Powers, T.R.3
  • 127
    • 78650694106 scopus 로고    scopus 로고
    • A geometric theory of growth mechanics
    • Yavari, A.; 2010. A geometric theory of growth mechanics. J. Nonlinear Sci. 20, 78 1830.
    • (2010) J. Nonlinear Sci. , vol.20 , pp. 781830
    • Yavari, A.1
  • 128
    • 0001030745 scopus 로고
    • Stability of two planar loop elasticas
    • Zajac, E.E.; 1962. Stability of two planar loop elasticas. ASMEJ. AppI. Mech. March, 136142.
    • (1962) ASMEJ. AppI. Mech. March , pp. 136142
    • Zajac, E.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.