• 作者： Hsu, Jyh-Ping; Chen, Tsue-Hwa; Tsao, Heng-Kwong
• 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。我們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.
• 中文關鍵字： 表面黴菌菌落; 成長模式; 酒曲菌屬; 數學模擬
• 英文關鍵字： Surface Fungal Colony; Growth Model; Rhizopus; Mathematical Modeling