Branching growth of ribbing patterns and the significance of concealed signals

Yukio Gunji*

*この研究の対応する著者

研究成果: Article査読

2 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)251-270
ページ数20
ジャーナルJournal of Theoretical Biology
139
2
DOI
出版ステータスPublished - 1989 7 21
外部発表はい

ASJC Scopus subject areas

  • 統計学および確率
  • モデリングとシミュレーション
  • 生化学、遺伝学、分子生物学(全般)
  • 免疫学および微生物学(全般)
  • 農業および生物科学(全般)
  • 応用数学

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