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

Hiroshi Yoshida, Hirokazu Anai, Katsuhisa Horimoto

Research output: Contribution to conferencePaper

Abstract

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.

Original languageEnglish
Pages23-28
Number of pages6
Publication statusPublished - Dec 1 2006
Externally publishedYes
Event10th 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, United States
Duration: Jul 16 2006Jul 19 2006

Other

Other10th World Multi-Conference on Systemics, Cybernetics and Informatics, WMSCI 2006, Jointly with the 12th International Conference on Information Systems Analysis and Synthesis, ISAS 2006
CountryUnited States
CityOrlando, FL
Period7/16/067/19/06

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All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Computer Networks and Communications
  • Information Systems

Cite this

Yoshida, H., Anai, H., & Horimoto, K. (2006). Derivation of rigorous relationships between proliferation and transition rates of multiple cells by algebraic approach. 23-28. Paper presented at 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, United States.

Derivation of rigorous relationships between proliferation and transition rates of multiple cells by algebraic approach. / Yoshida, Hiroshi; Anai, Hirokazu; Horimoto, Katsuhisa.

2006. 23-28 Paper presented at 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, United States.

Research output: Contribution to conferencePaper

Yoshida, H, Anai, H & Horimoto, K 2006, 'Derivation of rigorous relationships between proliferation and transition rates of multiple cells by algebraic approach' Paper presented at 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, United States, 7/16/06 - 7/19/06, pp. 23-28.
Yoshida H, Anai H, Horimoto K. Derivation of rigorous relationships between proliferation and transition rates of multiple cells by algebraic approach. 2006. Paper presented at 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, United States.
Yoshida, Hiroshi ; Anai, Hirokazu ; Horimoto, Katsuhisa. / Derivation of rigorous relationships between proliferation and transition rates of multiple cells by algebraic approach. Paper presented at 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, United States.6 p.
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