应用科学学报 ›› 1999, Vol. 17 ›› Issue (1): 83-91.

• 论文 • 上一篇    下一篇

真骨鱼类卵膜孔精子引导系统的数学模型

吴坤明, 宋慧春, 沈其璋, 刘根洪   

  1. 苏州大学
  • 收稿日期:1997-05-24 修回日期:1997-12-04 出版日期:1999-03-31 发布日期:1999-03-31
  • 基金资助:
    国家自然科学基金资助项目

The Mathematical Model of Sperm Guidance System of Micropyle of The Teleost

WU KUNMING, SONG HUICHUN, SHEN QIZHANG, LIU GENHONG   

  1. Suzhou University, Suzhou 215151
  • Received:1997-05-24 Revised:1997-12-04 Online:1999-03-31 Published:1999-03-31

摘要: 继1987年发现泥鳅成熟卵卵膜孔涡旋状结构后,作者又发现大银鱼卵膜孔区域呈现沟脊放射状结构.通过对大银鱼、鲂鱼卵孔纵切面曲线的数学建模及其对这种纵切面曲线成因的研究,建立了真骨鱼卵膜孔区域的一般数学模型,由真骨鱼类卵孔曲面极小曲率性质,得出了这类鱼精子沿卵孔曲面入卵最省功节能的结论,从而进一步确证真骨鱼类精子入卵除化学因素外,还存在着不容忽视的数学物理因素——机械动力作用,这两者相得益彰,形成了一个完整的精子引导系统.

关键词: 真骨鱼类, 数学模型, 卵膜孔, 精子引导系统

Abstract: After finding the whirlpool like structure of micropyle of the mature egg of Misgurnus anguillicaudatus in 1987, we discovered again that there is a radiate structure. This article establishs a general mathematical model of the teleost's micropyle by building a mathematical model of sectional curves of micropyle of Protosalanx hyalocranius, Megalobrama terminalis and studying the cause of the kind of curves. Because the conclusion that it saves work most that sperms travels along the micropylar camber. Thus further proving that exists unnegligible mathematical and physical dynamic factors besides the chemical explanation during the teleosts's sperm entering micropyle, which is mechanical impetus acts. Both sides bring out the best in each other and form a complete sperm guidance system of micropyle.

Key words: micropyle, sperm guidance system, teleosts, mathematical model