スギモト タケシ   Sugimoto Takeshi
  杉本 剛
   所属   神奈川大学  工学部 情報システム創成学科
    神奈川大学大学院  工学研究科 工学専攻(情報システム創成領域)
   職種   教授
言語種別 日本語
発行・発表の年月 2008/08
形態種別 その他
標題 Analysis of Ciliary Gliding in Freshwater Planarians
執筆形態 単著
掲載誌名 XXII International Congress of Theoretical and Applied Mechanics Abstract
巻・号・頁 78頁
概要 Freshwater planarians are small free-living creatures but too large invertebrates to swim by beating the 10-6m long cilia. As they do not have proper muscular systems, they make use of the technique called ciliary gliding: they secrete mucus on a substratum, and glide upon it by beating ventral cilia in an antiplecticly metachronous manner. A mathematical model for this locomotion consists of the continuity of mass and the Brinkman's equation for the continuity of momentum in the periciliary layer and the mucus layer. The basic equations are split into the time-averaged and time-dependent parts. The time-averaged part has the analytic solution set, whilst the time-dependent part is solved semi-analytically by use of the double-Fourier series. In the periciliary layer the flow almost creeps and the fast stream is confined near the mucus layer. Use of the typical values for the relevant parameters leads us to a paradox, for the cilium's tip speed is slower than the gliding speed itself. It is, however, possible to explain the cause of thrust by considering flip of the cilia tip owing to the buckling of the cilia.