Studies on mathematical model for developmental systems

发育系统数学模型研究

• 批准号: 62540158
• 负责人: NAKAMURA Akira
• 金额: $ 0.64万
• 依托单位: HIROSHIMA UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1987
• 资助国家: 日本
• 起止时间: 1987 至 1988
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-62540158/
• 关键词: Graph grammars; L-systems; Two-dimensional automata; Two-dimensional pictures; 細胞分裂システム; L-システム

It is one of the most interesting topics in modern applied mathematics to formalize biological developments as mathematical system. It is also a very important and significant work as the fundamantal theory of biological developments. From this point of view, we have obtained the following results in this research projent.(1) Graph-grammatical reseraxh of cell-division system. by considering cell-division systems as graph grammars, We have proposed path-controlled graph grammars and coordinated grammars. These are fruitful systems from the theory of two-dimensional pattern generations.(2) Introduction of fuzzy concept. It is natural to introduce fuzzy concept to developmental systems. To this end, we have pursued some fundamental properties of fuzzy concept and obtained some results.(3) Some results about graph theory. As mentioned some systems of map generations.

将生物学的发展形式化为数学系统是现代应用数学中最有趣的课题之一。作为生物学发展的基础理论，它也是一项非常重要和有意义的工作。从这一角度出发，我们在本研究项目中取得了以下成果：(1)细胞分裂系统的图形语法研究。通过将单元划分系统看作图文法，我们提出了路控制图文法和协调文法。这些都是二维模式生成理论的丰硕成果。(2)模糊概念的引入。在发展系统中引入模糊概念是很自然的。为此，我们研究了模糊概念的一些基本性质，得到了一些结果。(3)关于图论的一些结果。如上所述，一些地图生成系统。

项目成果

中村昭: Note on Multiple-Valued Logic in Japan. 11. 41-49 (1989)

Akira Nakamura：日本多值逻辑注释。11. 41-49 (1989)

会沢邦夫: セル構造に基づく高度並列情報処理システムに関する総合的研究研究成果報告書. 3-14 (1988)

Kunio Aizawa：基于单元结构的高度并行信息处理系统的综合研究报告3-14（1988）。

NAKAMURA, Akira: "A decidability result of the logic based on fuzzy rough sets" Note on Multiple-Valued Logic in Japan. 11. 41-49 (1989)

NAKAMURA, Akira：“基于模糊粗糙集的逻辑的可判定性结果”日本多值逻辑注释。

中村昭: 多値論理研究ノート. 9. 8.1-8.8 (1988)

Akira Nakamura：多值逻辑研究笔记 9. 8.1-8.8 (1988)。

中村昭: 数理科学. 300. 44-50 (1988)

中村晃：数学科学。300。44-50（1988）