Evans A R, Turner M S, Sens P
Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Apr;67(4 Pt 1):041907. doi: 10.1103/PhysRevE.67.041907. Epub 2003 Apr 21.
We study a physical model for the interaction between general inclusions bound to fluid membranes that possess finite tension gamma, as well as the usual bending rigidity kappa. We are motivated by an interest in proteins bound to cell membranes that apply forces to these membranes, due to either entropic or direct chemical interactions. We find an exact analytic solution for the repulsive interaction between two similar circularly symmetric inclusions. This repulsion extends over length scales approximately sqrt[kappa/gamma] and contrasts with the membrane-mediated contact attraction for similar inclusions on tensionless membranes. For noncircularly symmetric inclusions we study the small, algebraically long-ranged, attractive contribution to the force that arises. We discuss the relevance of our results to biological phenomena, such as the budding of caveolae from cell membranes and the striations that are observed on their coats. These, and other, "gnarly buds" may prove fascinating to study further.
我们研究了一个物理模型，该模型描述了与具有有限张力γ以及通常弯曲刚度κ的流体膜结合的一般内含物之间的相互作用。我们的研究动机源于对与细胞膜结合的蛋白质的兴趣，这些蛋白质由于熵效应或直接化学相互作用而对这些膜施加力。我们找到了两个相似的圆对称内含物之间排斥相互作用的精确解析解。这种排斥作用在长度尺度约为sqrt[kappa/gamma]上延伸，并且与无张力膜上相似内含物的膜介导接触吸引形成对比。对于非圆对称内含物，我们研究了产生的力的小的、代数长程的吸引贡献。我们讨论了我们的结果与生物现象的相关性，例如细胞膜上小窝的出芽以及在其衣被上观察到的条纹。这些以及其他“粗糙的芽”可能会被证明是进一步研究的有趣对象。
