TY - GEN

T1 - Mathematical modeling for spatiotemporal development of leaf primordium

AU - Ishii, Koji

AU - Hamada, Hiroyuki

AU - Okamoto, Masahiro

PY - 2009

Y1 - 2009

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

T3 - Proceedings of the International Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009

SP - 813

EP - 818

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

T2 - International Conference on Complex, Intelligent and Software Intensive Systems, CISIS 2009

Y2 - 16 March 2009 through 19 March 2009

ER -