Whorled phyllotactic patterns change with spontaneous curvature interaction β and stress tensor coupling γ. When γ increases β decreases in order to maintain the emergence of primordia as whorled patterns. Aberrant patterns (AB) emerge outside of the dash blue lines. Parameter values are η = 0.26, G[u] with a width of R/2, κ = 2 and c = 0.57.</p
Historically, the study of phyllotaxis was greatly helped by the simple description of botanical pat...
Aquatic plants provide an opportunity to characterize the geometrical relationships of leaf patterni...
The first phyllotaxis pattern formation model was proposed in 1868 by Schwendener, and consists of s...
Whorled phyllotactic patterns emerge as a function of the stress tensor coupling. When γ increases t...
Time sequence of emergence of primordia into whorled phyllotactic patterns. Parameter values are β =...
Ribbed patterns emerge as a function of the stress tensor coupling. The symmetry of ribs increases a...
Time sequence of emergence of spiraling patterns. Parameter values are β = 0.5, γ = 0.2 and the rest...
A variety of fascinating morphological patterns arise on surfaces of growing, developing or aging ti...
Twisted ribbons under tension exhibit a remarkably rich morphology, from smooth and wrinkled helicoi...
bilities, we introduce a comprehensive theoretical framework through which we construct a 4D phase d...
Biological world metabolizes itself with germination, growth, development, and aging every second. A...
The study of phyllotaxis has focused on seeking explanations for the occurrence of consecutive Fibon...
<p>Vertical lines: stability range of OD stripes, hexagons, and constant solution. Magenta (orange) ...
(A): Standard plot of fλ>0 as a function of balance and density, for constant symmetry . (B): Plot o...
<p><b>A, B.</b> The number of primordia before the first arrest (arrowheads in Fig <a href="http://w...
Historically, the study of phyllotaxis was greatly helped by the simple description of botanical pat...
Aquatic plants provide an opportunity to characterize the geometrical relationships of leaf patterni...
The first phyllotaxis pattern formation model was proposed in 1868 by Schwendener, and consists of s...
Whorled phyllotactic patterns emerge as a function of the stress tensor coupling. When γ increases t...
Time sequence of emergence of primordia into whorled phyllotactic patterns. Parameter values are β =...
Ribbed patterns emerge as a function of the stress tensor coupling. The symmetry of ribs increases a...
Time sequence of emergence of spiraling patterns. Parameter values are β = 0.5, γ = 0.2 and the rest...
A variety of fascinating morphological patterns arise on surfaces of growing, developing or aging ti...
Twisted ribbons under tension exhibit a remarkably rich morphology, from smooth and wrinkled helicoi...
bilities, we introduce a comprehensive theoretical framework through which we construct a 4D phase d...
Biological world metabolizes itself with germination, growth, development, and aging every second. A...
The study of phyllotaxis has focused on seeking explanations for the occurrence of consecutive Fibon...
<p>Vertical lines: stability range of OD stripes, hexagons, and constant solution. Magenta (orange) ...
(A): Standard plot of fλ>0 as a function of balance and density, for constant symmetry . (B): Plot o...
<p><b>A, B.</b> The number of primordia before the first arrest (arrowheads in Fig <a href="http://w...
Historically, the study of phyllotaxis was greatly helped by the simple description of botanical pat...
Aquatic plants provide an opportunity to characterize the geometrical relationships of leaf patterni...
The first phyllotaxis pattern formation model was proposed in 1868 by Schwendener, and consists of s...