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頁籤選單縮合
題 名 | A Mathematical Modeling of the Growth of Fungal Colonies on Solid Surfaces=黴菌菌落在固體表面成長的數學模擬 |
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作 者 | 徐治平; 陳翠華; 曹恆光; | 書刊名 | Journal of the Chinese Institute of Chemical Engineers |
卷 期 | 22:1 1991.01[民80.01] |
頁 次 | 頁1-6 |
分類號 | 369.34 |
關鍵詞 | 固體表面; 菌落; 數學模擬; 黴菌; |
語 文 | 英文(English) |
中文摘要 | 本文以數學模型描述黴菌菌落在固體表面成長時其三度空間的形狀變化。在分析過程裡菌落的成長假設可以分為水平方向與垂直方向兩個問題來考慮。我自證明了菌落的半徑在初期是呈指數形態地增加,然後便以定速度增長。數值模擬的結果顯示菌落的頂部與底部皆呈圓盤狀,而週邊可以一向上彎曲的曲線繞垂直軸旋轉一週所描出之曲面表示。 |
英文摘要 | A mathematical analysis for the description of the shape of a growing surface fungal colony in the three-dimensional space is presented. The growth phenomenon under consideration is decoupled into a horizontal growth process and a vertical growth process. We show that the radius of a fungal colony increases exponentially in the early stage, and increases at a constant rate at large times. The present kinetic model predicts that a growing fungal colony comprises a disk-shaped base, a flat circular top, and a concave-upward side surface. |
本系統中英文摘要資訊取自各篇刊載內容。