Abstract
Extending the analysis of the ribbing patterns of Recent branchiopods, pattern transformation with the progression of growth is discussed. In ribbing patterns of brachiopods, each rib grows wider and higher, and sometimes branches off. It is proposed that median patterns appear as predictable outcomes of a simple space-filling process with stochastic properties, as shown by some investigators. From the analysis by the modified Fly method, it is found that branching points are determined by deterministic long range waves (breather-like solitons) which strongly interact with one another. For these patterns, all possible Interactive Lindenmayer systems with two sided inputs of most neighbouring cells were simulated, and all patterns were classified, compared to solutions with non-linear wave equations. It is concluded that ribbing patterns with deterministic signals are realized by coupling automata between I-L system developing kinks, and cell automata developing solitons. The importance of a morphogenetic control theory involving coupling and long range signals is emphasized.
| Original language | English |
|---|---|
| Pages (from-to) | 251-270 |
| Number of pages | 20 |
| Journal | Journal of Theoretical Biology |
| Volume | 139 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1989 Jul 21 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Agricultural and Biological Sciences(all)
- Biochemistry, Genetics and Molecular Biology(all)
- Immunology and Microbiology(all)
- Applied Mathematics
- Modelling and Simulation
- Statistics and Probability
- Medicine(all)
Cite this
Branching growth of ribbing patterns and the significance of concealed signals. / Gunji, Yukio.
In: Journal of Theoretical Biology, Vol. 139, No. 2, 21.07.1989, p. 251-270.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Branching growth of ribbing patterns and the significance of concealed signals
AU - Gunji, Yukio
PY - 1989/7/21
Y1 - 1989/7/21
N2 - Extending the analysis of the ribbing patterns of Recent branchiopods, pattern transformation with the progression of growth is discussed. In ribbing patterns of brachiopods, each rib grows wider and higher, and sometimes branches off. It is proposed that median patterns appear as predictable outcomes of a simple space-filling process with stochastic properties, as shown by some investigators. From the analysis by the modified Fly method, it is found that branching points are determined by deterministic long range waves (breather-like solitons) which strongly interact with one another. For these patterns, all possible Interactive Lindenmayer systems with two sided inputs of most neighbouring cells were simulated, and all patterns were classified, compared to solutions with non-linear wave equations. It is concluded that ribbing patterns with deterministic signals are realized by coupling automata between I-L system developing kinks, and cell automata developing solitons. The importance of a morphogenetic control theory involving coupling and long range signals is emphasized.
AB - Extending the analysis of the ribbing patterns of Recent branchiopods, pattern transformation with the progression of growth is discussed. In ribbing patterns of brachiopods, each rib grows wider and higher, and sometimes branches off. It is proposed that median patterns appear as predictable outcomes of a simple space-filling process with stochastic properties, as shown by some investigators. From the analysis by the modified Fly method, it is found that branching points are determined by deterministic long range waves (breather-like solitons) which strongly interact with one another. For these patterns, all possible Interactive Lindenmayer systems with two sided inputs of most neighbouring cells were simulated, and all patterns were classified, compared to solutions with non-linear wave equations. It is concluded that ribbing patterns with deterministic signals are realized by coupling automata between I-L system developing kinks, and cell automata developing solitons. The importance of a morphogenetic control theory involving coupling and long range signals is emphasized.
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UR - http://www.scopus.com/inward/citedby.url?scp=0040702817&partnerID=8YFLogxK
U2 - 10.1016/S0022-5193(89)80103-1
DO - 10.1016/S0022-5193(89)80103-1
M3 - Article
AN - SCOPUS:0040702817
VL - 139
SP - 251
EP - 270
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
SN - 0022-5193
IS - 2
ER -