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| 引用本文： | 殷雅俊. ?????????????е???[J]. 力学与实践, 2008, 30(2): 1-10. DOI: 10.6052/1000-0992-2007-526 |
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| 作者姓名： | 殷雅俊 |
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| 作者单位： | 清华大学航天航空学院工程力学系 |
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| 摘 要： | 简要综述了生物膜力学与几何的新进展. 在生物膜力学中，着重介绍了基于微分算子的平衡理论和几何约束理论；在生物膜几何中，重点评述了源于生物膜力学的新梯度算子及其积分性质. 指出：新梯度算子可能在生物膜曲面上诱发新的驱动力；生物膜力学与几何是一个有机整体，其背后存在着一个对称的几何体系，包括对称的微分算子以及对称的积分定理系统.
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| 关 键 词： | 生物膜 第2类梯度算子 积分定理 对称 |
| 收稿时间： | 2007-11-20 |
| 修稿时间： | 2007-11-20 |
SYMMETRIES IN THE MECHANICS AND GEOMETRY FOR BIOMEMBRANES |
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| YIN Yajun. SYMMETRIES IN THE MECHANICS AND GEOMETRY FOR BIOMEMBRANES[J]. Mechanics and Engineering, 2008, 30(2): 1-10. DOI: 10.6052/1000-0992-2007-526 |
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| Authors: | YIN Yajun |
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| Abstract: | This paper briefly reviews the recent progress in themechanics and geometry for biomembranes. In biomembrane mechanics,the equilibrium theory and geometrically constraint theory are introduced.In biomembrane geometry, a new gradient operator derived frombiomembrane mechanics and its integral characteristics are summarized. Thenew gradient operator may be responsible for a new driving force onbiomembrane surfaces. Besides, the mechanics and geometry for biomembranesare found to be an organic entity, behind which is a symmetric geometricsystem, including symmetric differential operators and symmetric integraltheorems. |
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