Mathematical modeling for spatiotemporal development of leaf primordium

Koji Ishii, Hiroyuki Hamada, Masahiro Okamoto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The phenome analysis for the leaf morphogenesis shows greater advances than that for other species. Although the phenome analysis is useful for an elucidation of relationship between genotype and phenotype, it is difficult to identify a complicated biochemical reaction system between genotype and phenotype. In this study, we proposed a novel mathematical model for the time-variant morphogenesis of leaf primordiums to infer the complicated system, and discussed an availability of the proposed model on the elucidation of the morphogenesis. The mathematical model was designed by integrating a reaction-diffusion equation with a cellular automaton theory. The proposed model could realize several well-known complicated pattern formations involving reconnection phenomena of the leaf venation such as Arabidopsis thaliana's and gingko's leaf. Thus, the proposed model is available for the elucidation of the leaf morphogenesis.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009
Pages813-818
Number of pages6
DOIs
Publication statusPublished - Oct 13 2009
EventInternational Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009 - Fukuoka, Japan
Duration: Mar 16 2009Mar 19 2009

Other

OtherInternational Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009
CountryJapan
CityFukuoka
Period3/16/093/19/09

Fingerprint

Automata theory
Mathematical models
Cellular automata
Availability

All Science Journal Classification (ASJC) codes

  • Hardware and Architecture
  • Software
  • Control and Systems Engineering

Cite this

Ishii, K., Hamada, H., & Okamoto, M. (2009). Mathematical modeling for spatiotemporal development of leaf primordium. In Proceedings of the International Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009 (pp. 813-818). [5066883] https://doi.org/10.1109/CISIS.2009.46

Mathematical modeling for spatiotemporal development of leaf primordium. / Ishii, Koji; Hamada, Hiroyuki; Okamoto, Masahiro.

Proceedings of the International Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009. 2009. p. 813-818 5066883.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ishii, K, Hamada, H & Okamoto, M 2009, Mathematical modeling for spatiotemporal development of leaf primordium. in Proceedings of the International Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009., 5066883, pp. 813-818, International Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009, Fukuoka, Japan, 3/16/09. https://doi.org/10.1109/CISIS.2009.46
Ishii K, Hamada H, Okamoto M. Mathematical modeling for spatiotemporal development of leaf primordium. In Proceedings of the International Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009. 2009. p. 813-818. 5066883 https://doi.org/10.1109/CISIS.2009.46
Ishii, Koji ; Hamada, Hiroyuki ; Okamoto, Masahiro. / Mathematical modeling for spatiotemporal development of leaf primordium. Proceedings of the International Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009. 2009. pp. 813-818
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