Derivation of rigorous relationships between proliferation and transition rates of multiple cells by algebraic approach

Hiroshi Yoshida, Hirokazu Anai, Katsuhisa Horimoto

研究成果: 会議への寄与タイプ論文

抜粋

The development of a multicellular organism is a dynamic process. Starting with one or a few cells, the organism develops into different types of cells with distinct functions to survive. We have constructed a simple model with a cell number increase and a cell-type order conservation to assess conditions for cell-type diversity. This model is based on stochastic Lindenmayer system for three types of cells. In the present model, we have successfully derived rigorous algebraic relations between the proliferation and transition rates for cell-type diversity by using a symbolic method, quantifier elimination (QE). Surprisingly, three modes for the proliferation and transition rates emerge against various ratios of the initial cells to the developed cells. Furthermore, it has been revealed that the high cell-type diversity originates from the order conservation. During the developing process of multicellular organisms, complex but explicit relations exist between the cell-type diversity and the development rates.

元の言語英語
ページ23-28
ページ数6
出版物ステータス出版済み - 12 1 2006
外部発表Yes
イベント10th World Multi-Conference on Systemics, Cybernetics and Informatics, WMSCI 2006, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006 - Orlando, FL, 米国
継続期間: 7 16 20067 19 2006

その他

その他10th World Multi-Conference on Systemics, Cybernetics and Informatics, WMSCI 2006, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006
米国
Orlando, FL
期間7/16/067/19/06

    フィンガープリント

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Computer Networks and Communications
  • Information Systems

これを引用

Yoshida, H., Anai, H., & Horimoto, K. (2006). Derivation of rigorous relationships between proliferation and transition rates of multiple cells by algebraic approach. 23-28. 論文発表場所 10th World Multi-Conference on Systemics, Cybernetics and Informatics, WMSCI 2006, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006, Orlando, FL, 米国.