Limited Bibliography
I. Adler, D. Barabé, and R. V. Jean (1997). A History
of the Study of Phyllotaxis, Annals of Botany, 80,
231-244.
P. Atela, C. Golé, and S. Hotton (2002). A
Dynamical System for Plant Pattern Formation: Rigorous Analysis
(P. Atela, C. Golé, S. Hotton, J.
Nonlinear Sci. Vol. 12, Number 6
See the description in the
research page.
Barabé and Jean (Eds.) (1998). Symmetry in Plants,
World Scientific Publishing.
A compilation of surveys of the most
recent research by dozens of scientists, in all the fields pertaining
to phyllotaxis, written by the scientists themselves.
S. Douady and Y. Couder (1996). Phyllotaxis as a Dynamical Self
Organizing Process (Part I, II, III), J. theor. Biol. 139,
178-312.
Groundbreaking articles introducing the
models that are at the center of our research.
Dumais, J. and Kwiatkowska, D. (2002). Analysis of surface growth
in shoot apices. The Plant Journal 31,
229-241.
Develops a promising technique of 3-D
analysis of growing plant meristems, using a non destructive microscopy
method as well as curvature analysis at the cellular level.
Dumais, J. and C.R. Steele (2000). New evidence for the role
of mechanical forces in the shoot apical meristem, Journal
of Plant Growth Regulation 19, 7-18.
Uses stress analysis of incisions of
the growing head of sunflower as supporting evidence for buckling.
L.H. Hernandez and Paul B. Green (1993). Transduction for the
expression of structural patterns: analysis in sunflower, The
Plant Cell, Vol 5, 1725-1738.
A comparative analysis of various proposed
physiological mechanisms for phyllotaxis, favouring the "buckling"
hypothesis.
S. Hotton (1999). Symmetry of Plants, Ph.D. Thesis,
UC Santa Cruz.
See the description in the
research page.
Jean, Roger V. (1994). Phyllotaxis: A systemic study in plant
morphogenesis. Cambridge University Press: Cambridge.
A comprehensive look at many mathematical
models of phyllotaxis.
L.S. Levitov (1991): Energetic Approach to Phyllotaxis, Europhys.
Lett., 14 (6), 533-539.
An inspiring article on the use of (hyperbolic)
symmetry in phyllotaxis. See also the related article in "Symmetry
in Plants" by Levitov and Lee.
R.D. Meicenheimer (1998). Decussate to spiral transitions in
phyllotaxis, in Symmetry in Plants, World Scientific
Publishing.
Correlates changes of the eccentricity
of the meristem to decussate to spiral transitions. Gives relative
frequencies of different phyllotactic patterns.
D. Reinhardt, T. Mandel, and C. Kuhlemeier (2000).
Auxin Regulates the Initiation and Radial Position of Plant Lateral
Organs, The Plant Cell, Vol. 12, 507–518
.
The title says it. This gives credence
to a reaction-diffusion type of model for the inception of primordia.
R. Rutishauser (1998). Parameters of a quantitative
Phyllotaxis Analysis, in Symmetry in Plants, World
Scientific Publishers, 171-212.
Gives a table of
measurements of many plants samples ( plastochrone
ratios, divergence angles, leaf arc, phyllotactic type and others).
M. Snow and R. Snow (1951). On the question of tissue
tensions in stem apices. New Phytologist 50,
184-185.
Turing, A.M.(1952): The chemical basis of morphogenesis.
Phil. Trans. R.Soc. London B139, 545-566
Seminal paper showing mathematically
that certain chemical reactions can lead to non-homogeneous concentrations
of chemicals - hence patterning. [Turing was a father figure in
the birth of computers].
