메뉴 건너뛰기




Volumn 240, Issue 3, 2006, Pages 489-500

Contact pressure models for spiral phyllotaxis and their computer simulation

Author keywords

Computer simulation; Contact pressure model; Phyllotaxis

Indexed keywords

COMPUTER SIMULATION; LEAF MORPHOLOGY;

EID: 33646242256     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2005.10.008     Document Type: Article
Times cited : (11)

References (39)
  • 1
    • 0016165351 scopus 로고
    • A model of contact pressure in phyllotaxis
    • Adler I. A model of contact pressure in phyllotaxis. J. Theor. Biol. 45 1 (1974) 1-79
    • (1974) J. Theor. Biol. , vol.45 , Issue.1 , pp. 1-79
    • Adler, I.1
  • 2
    • 0016547701 scopus 로고
    • A model of space filling in phyllotaxis
    • Adler I. A model of space filling in phyllotaxis. J. Theor. Biol. 53 (1975) 435-444
    • (1975) J. Theor. Biol. , vol.53 , pp. 435-444
    • Adler, I.1
  • 3
    • 0010076855 scopus 로고    scopus 로고
    • The role of continued fractions in phyllotaxis
    • Adler I. The role of continued fractions in phyllotaxis. J. Algebra 205 (1998) 227-243
    • (1998) J. Algebra , vol.205 , pp. 227-243
    • Adler, I.1
  • 4
    • 0030867693 scopus 로고    scopus 로고
    • A history of the study of phyllotaxis
    • Adler I., Barabe D., and Jean R.V. A history of the study of phyllotaxis. Ann. Bot. 80 (1997) 231-244
    • (1997) Ann. Bot. , vol.80 , pp. 231-244
    • Adler, I.1    Barabe, D.2    Jean, R.V.3
  • 5
    • 0041346103 scopus 로고    scopus 로고
    • A dynamical system for plant pattern formation
    • Atela P., Gole C., and Hotton S. A dynamical system for plant pattern formation. J. Nonlinear Sci. 12 6 (2002) 641-676
    • (2002) J. Nonlinear Sci. , vol.12 , Issue.6 , pp. 641-676
    • Atela, P.1    Gole, C.2    Hotton, S.3
  • 6
    • 0013344449 scopus 로고
    • Centroid of a polygon
    • Heckbert P.S. (Ed), Morgan Kaufmann, Los Altos, CA
    • Bashein G., and Detmer P.R. Centroid of a polygon. In: Heckbert P.S. (Ed). Graphic Gems, vol. IV (1994), Morgan Kaufmann, Los Altos, CA 3-8
    • (1994) Graphic Gems, vol. IV , pp. 3-8
    • Bashein, G.1    Detmer, P.R.2
  • 7
    • 0007368059 scopus 로고
    • Reaction-diffusion model for phyllotaxis
    • Bernasconi G. Reaction-diffusion model for phyllotaxis. Physica D 70 (1994) 90-99
    • (1994) Physica D , vol.70 , pp. 90-99
    • Bernasconi, G.1
  • 8
    • 0040504964 scopus 로고
    • The role of intermediate convergents in Taits explanation for phyllotaxis
    • Coxeter H.S.M. The role of intermediate convergents in Taits explanation for phyllotaxis. J. Algebra 20 (1972) 167-175
    • (1972) J. Algebra , vol.20 , pp. 167-175
    • Coxeter, H.S.M.1
  • 9
    • 33646252749 scopus 로고
    • The mathematics and computer graphics of spirals in plants
    • Dixon R. The mathematics and computer graphics of spirals in plants. Leonardo 16 2 (1983) 86-90
    • (1983) Leonardo , vol.16 , Issue.2 , pp. 86-90
    • Dixon, R.1
  • 10
    • 33646262127 scopus 로고    scopus 로고
    • Dixon, R., 1998. The shape of Dirichlet regions in a coxeter lattice as a function of divergence and rice. In: Jean, R.V., Barabe, D. (Eds.), Symmetry in Plants. Series in Mathematical Biology and Medicine, vol. 4, Singapore, pp. 313-333.
  • 11
    • 0029924552 scopus 로고    scopus 로고
    • Phyllotaxis as a dynamical self organizing process (Part I, II, III)
    • Douady S., and Couder Y. Phyllotaxis as a dynamical self organizing process (Part I, II, III). J. Theor. Biol. 178 (1996) 255-312
    • (1996) J. Theor. Biol. , vol.178 , pp. 255-312
    • Douady, S.1    Couder, Y.2
  • 12
    • 0033317391 scopus 로고    scopus 로고
    • Centroidal Voronoi tessellations
    • Du Q., Faber V., and Gunzburger M. Centroidal Voronoi tessellations. SIAM Rev. 41 4 (1999) 637-676
    • (1999) SIAM Rev. , vol.41 , Issue.4 , pp. 637-676
    • Du, Q.1    Faber, V.2    Gunzburger, M.3
  • 13
    • 11844301381 scopus 로고    scopus 로고
    • Formation of primordia and phyllotaxy
    • Flemming A.J. Formation of primordia and phyllotaxy. Curr. Opin. Plant Biol. 8 (2005) 53-58
    • (2005) Curr. Opin. Plant Biol. , vol.8 , pp. 53-58
    • Flemming, A.J.1
  • 14
    • 33646244093 scopus 로고    scopus 로고
    • Hofmeister, W., 1886. Allgemeine Morphologie der Gewächse. In: Handbuch der Physiologischen Botanik, vol. 1, Leipzig, pp. 405-664.
  • 15
    • 0017829092 scopus 로고
    • Description of cellular patterns by Dirichlet domains. The two dimensional case
    • Honda H. Description of cellular patterns by Dirichlet domains. The two dimensional case. J. Theor. Biol. 72 3 (1978) 523-543
    • (1978) J. Theor. Biol. , vol.72 , Issue.3 , pp. 523-543
    • Honda, H.1
  • 16
    • 0020972609 scopus 로고
    • Geometrical modelling of cells in tissues
    • Honda H. Geometrical modelling of cells in tissues. Inter. Rev. Cytol. 81 (1983) 191-248
    • (1983) Inter. Rev. Cytol. , vol.81 , pp. 191-248
    • Honda, H.1
  • 17
    • 33646238753 scopus 로고    scopus 로고
    • Jean, R.V., 1994. Phyllotaxis. Cambridge.
  • 18
    • 33646253480 scopus 로고    scopus 로고
    • Jean, R.V., Barabe, D. (Eds.), 1998. Symmetry in Plants. Series in Mathematical Biology and Medicine, vol. 4, Singapore.
  • 19
    • 33646239001 scopus 로고    scopus 로고
    • Khinchin, A. Ya., 1964. Continued Fractions. Chicago.
  • 20
    • 33646227233 scopus 로고    scopus 로고
    • Koch, A.-J., Bernasconi, G., Rothen, F., 1998. Phyllotaxis as a geometrical and dynamical system. In: Jean, R.V., Barabe, D. (Eds.), Symmetry in Plants. Series in Mathematical Biology and Medicine, vol. 4, Singapore, pp. 459-486.
  • 22
    • 0001291676 scopus 로고
    • Properties of maximal spacing on a circle
    • Marzec C., and Kappraff J. Properties of maximal spacing on a circle. J. Theor. Biol. 103 (1983) 201-226
    • (1983) J. Theor. Biol. , vol.103 , pp. 201-226
    • Marzec, C.1    Kappraff, J.2
  • 23
    • 0038071794 scopus 로고    scopus 로고
    • Complex pattern formation by a self-destabilization of established patterns
    • Meinhardt H. Complex pattern formation by a self-destabilization of established patterns. C. R. Biol. 326 2 (2003) 223-237
    • (2003) C. R. Biol. , vol.326 , Issue.2 , pp. 223-237
    • Meinhardt, H.1
  • 24
    • 0000281602 scopus 로고
    • The geometry of pyllotaxis and its origin
    • Richards F.J. The geometry of pyllotaxis and its origin. Symp. Soc. Exper. Biol. 2 (1948) 217-245
    • (1948) Symp. Soc. Exper. Biol. , vol.2 , pp. 217-245
    • Richards, F.J.1
  • 25
    • 0020069061 scopus 로고
    • Computer simulation of contact pressure in capitula
    • Ridley J.N. Computer simulation of contact pressure in capitula. J. Theor. Biol. 95 (1982) 1-11
    • (1982) J. Theor. Biol. , vol.95 , pp. 1-11
    • Ridley, J.N.1
  • 26
    • 38249040042 scopus 로고
    • Ideal phyllotaxis on a general surface of revolution
    • Ridley J.N. Ideal phyllotaxis on a general surface of revolution. Math. Biosci. 79 (1986) 1-24
    • (1986) Math. Biosci. , vol.79 , pp. 1-24
    • Ridley, J.N.1
  • 27
    • 0021230476 scopus 로고
    • Structure of Bernard convection cells, phyllotaxis and crystallography in cylindrical symmetry
    • Rivier N., Occelli R., Pantaloni J., and Lissowski A. Structure of Bernard convection cells, phyllotaxis and crystallography in cylindrical symmetry. J. Phys. 45 (1984) 49-63
    • (1984) J. Phys. , vol.45 , pp. 49-63
    • Rivier, N.1    Occelli, R.2    Pantaloni, J.3    Lissowski, A.4
  • 28
    • 0000992491 scopus 로고
    • Phyllotaxis, or the properties of spiral lattices I
    • Rothen F., and Koch A.-J. Phyllotaxis, or the properties of spiral lattices I. J. Phys. France 50 (1989) 633-657
    • (1989) J. Phys. France , vol.50 , pp. 633-657
    • Rothen, F.1    Koch, A.-J.2
  • 29
    • 0025663541 scopus 로고
    • Quantitative analysis of sunflower seed packing
    • Ryan W., Rouse J.L., and Bursill L.A. Quantitative analysis of sunflower seed packing. J. Theor. Biol. 147 (1991) 303-328
    • (1991) J. Theor. Biol. , vol.147 , pp. 303-328
    • Ryan, W.1    Rouse, J.L.2    Bursill, L.A.3
  • 33
    • 0000383251 scopus 로고
    • Minimum areas and leaf determination
    • Snow M.R. Minimum areas and leaf determination. Proc. Roy. Soc. London 139B (1952) 545-566
    • (1952) Proc. Roy. Soc. London , vol.139 B , pp. 545-566
    • Snow, M.R.1
  • 34
    • 0001530348 scopus 로고
    • Problems of phyllotaxis and leaf determination
    • Snow R. Problems of phyllotaxis and leaf determination. Endeavour 14 (1955) 190-199
    • (1955) Endeavour , vol.14 , pp. 190-199
    • Snow, R.1
  • 35
    • 0038646799 scopus 로고    scopus 로고
    • The auxin influx carrier is essential for correct leaf positioning
    • Stieger A., Reinhardt D., and Kuhlemeier C. The auxin influx carrier is essential for correct leaf positioning. Plant. J. 32 (2002) 509-517
    • (2002) Plant. J. , vol.32 , pp. 509-517
    • Stieger, A.1    Reinhardt, D.2    Kuhlemeier, C.3
  • 37
    • 33646269767 scopus 로고
    • Optimal spacing of points on a circle
    • van Ravenstein T. Optimal spacing of points on a circle. Fibonacci Quart. 27 (1989) 18-24
    • (1989) Fibonacci Quart. , vol.27 , pp. 18-24
    • van Ravenstein, T.1
  • 38
    • 0006450384 scopus 로고
    • A better way to construct the sunflower head
    • Vogel H. A better way to construct the sunflower head. Math. Biosci. 44 (1979) 179-189
    • (1979) Math. Biosci. , vol.44 , pp. 179-189
    • Vogel, H.1
  • 39
    • 84971023648 scopus 로고
    • A geometrical model of phyllotaxis
    • Williams R.F., and Brittain E.G. A geometrical model of phyllotaxis. Aust. J. Bot. 32 (1984) 43-72
    • (1984) Aust. J. Bot. , vol.32 , pp. 43-72
    • Williams, R.F.1    Brittain, E.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.