A Comparative Study of the Pattern of Bryozoan Colony Growth

苔藓虫群体生长模式的比较研究

• 批准号: 04454031
• 负责人: MAWATARI Shunsuke
• 金额: $ 3.46万
• 依托单位: Hokkaido University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (B)
• 财政年份: 1992
• 资助国家: 日本
• 起止时间: 1992 至 1993
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-04454031/
• 关键词: Food intake efficiency; L-system; Minimum lengthbetween tentacles; Membranipora serrilamella; Colony growth pattern; Bifurcate budding; Bpronoy polygon; Closest packing structure; コケムシ; 群体成長パタン; 指数関数的増加; エルシステム; 触手冠間距離; 個虫

Colony grouth pattern of a cheilostomebyozoan Membranipora serrilamella was mathematically analyzed. Some rules of zooids buddingwere revealed as follows :(1) The budding type of parent zooid does not so much infruence thebuding type of daughter zooid. This was clarified by the application of the L-systme analysis bsed on probability.(2) each zooid keeps the maximum distance betrween its own orifice and the orifices of the sorrounding zooids. This resultwas indirectly brought by the present of variation of the zooid length in a colony.(3) There are sufficient area for tentacle expansion of each zooid whether the zooid is big or small.(4) Orifices in a colonyare not arranged in closest byt closer packing. This was revealed by the result that the variation range of the area of zooid exceeds that of the area of boronoy polygon.(5) Each zooid tends to include its tentacle crown a little. This behavior makes the food intake efficiency high.All of the data obtained by the present stucy consistently tell us that the zooids of a colony of Membranipora serrilamella are reglarly arranged in order to make their food intake efficiency high. This principle for existence can be applied for the study of bryozoan evolution.

本文对锯齿膜孔虫的群体生长模式进行了数学分析。本文揭示了子虫出芽的一些规律：（1）母虫出芽类型对子虫出芽类型的影响不大。应用基于概率的L-系统分析，阐明了这一点。(2)每个虫体在其孔与周围虫体孔之间保持最大距离。这一结果是由群体内存在的虫体长度变异间接引起的。(3)无论大小，每个子实体都有足够的伸展空间。(4)菌落中的小孔不是以最紧密的拜特排列的。这一点可以从虫体面积的变化幅度超过多角形面积的变化幅度中看出。(5)每一个虫体倾向于包括它的触手冠一点。本研究所获得的所有数据一致地告诉我们，一个锯缘膜孔菌群体的游动体是整齐排列的，以使其具有较高的摄食效率。这一存在原理可用于苔藓动物进化的研究。

项目成果

中島久男: "コケムシの平面群体パターンに関する数理的解析" 月刊「地球」. 15. 563-571 (1993)

Hisao Nakajima：《苔藓虫平面菌落模式的数学分析》月刊《地球》15。563-571（1993）。

Mawatari, S.: "Bryozoan colony formation" Mathematical Topics in Biology. No. 827. 45-56 (1993)

Mawatari, S.：“苔藓虫菌落形成”生物学数学主题。

Nakajima, H.: "A mathematical analysis on the colony growth pattern in a colony of Membranipora serrilamella"" Chikyu Monthly. Vol. 15, No. 9. 563-571 (1993)

Nakajima, H.：“对 Membranipora serrilamella 菌落中菌落生长模式的数学分析””Chikyu Monthly. Vol. 15, No. 9. 563-571 (1993)

中島久男: "コケムシの平面群体パターンに関する数理的解析" 月刊「地球」. 171. 563-571 (1993)

Hisao Nakajima：《苔藓虫平面菌落模式的数学分析》月刊《地球》171. 563-571（1993）。

馬渡峻輔: "コケムシ類の群体形成" 数理解析研究所講究録. 872. 45-56 (1993)

Shunsuke Mawatari：“苔藓虫的群体形成”数学科学研究所 Kokyuroku 872. 45-56 (1993)