### 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 language | English |
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Title of host publication | Proceedings of the International Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009 |

Pages | 813-818 |

Number of pages | 6 |

DOIs | |

Publication status | Published - Oct 13 2009 |

Event | International Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009 - Fukuoka, Japan Duration: Mar 16 2009 → Mar 19 2009 |

### Other

Other | International Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009 |
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Country | Japan |

City | Fukuoka |

Period | 3/16/09 → 3/19/09 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Hardware and Architecture
- Software
- Control and Systems Engineering

### Cite this

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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

}

TY - GEN

T1 - Mathematical modeling for spatiotemporal development of leaf primordium

AU - Ishii, Koji

AU - Hamada, Hiroyuki

AU - Okamoto, Masahiro

PY - 2009/10/13

Y1 - 2009/10/13

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=70349743841&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349743841&partnerID=8YFLogxK

U2 - 10.1109/CISIS.2009.46

DO - 10.1109/CISIS.2009.46

M3 - Conference contribution

AN - SCOPUS:70349743841

SN - 9780769535753

SP - 813

EP - 818

BT - Proceedings of the International Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009

ER -