论文标题
带有弹性壳的气泡的半径演变
Radius evolution for bubbles with elastic shells
论文作者
论文摘要
我们对某些液体中的微生物（例如细菌或病毒）的三维细胞进行了扩展的瑞利植物方程（RP）方程进行分析，其中细菌中的细胞膜或病毒中的膜中的细胞膜具有弹性特性。为了说明此类微生物的形状构型的快速变化，气泡膜/包膜必须刚性以抵抗巨大的压力，同时灵活地适应生长或衰变。通过包括与弹性壁曲率平方成正比的压力弯曲项，将这种特性嵌入RP方程中。该扩展方程的分析解决方案是根据椭圆函数获得的。
We present an analysis of an extended Rayleigh-Plesset (RP) equation for a three dimensional cell of microorganisms such as bacteria or viruses in some liquid, where the cell membrane in bacteria or the envelope (capsid) in viruses possess elastic properties. To account for rapid changes in the shape configuration of such microorganisms, the bubble membrane/envelope must be rigid to resist large pressures while being flexible to adapt to growth or decay. Such properties are embedded in the RP equation by including a pressure bending term that is proportional to the square of the curvature of the elastic wall. Analytical solutions to this extended equation are obtained in terms of elliptic functions.
