Arsenault Mark E, Purohit Prashant K, Goldman Yale E, Shuman Henry, Bau Haim H
Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania, Towne Building, 220 S. 33rd St., Philadelphia, Pennsylvania 19104-6315, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Nov;82(5 Pt 1):051923. doi: 10.1103/PhysRevE.82.051923. Epub 2010 Nov 17.
With the aid of brownian dynamics models, it is possible to estimate polymer tension by monitoring polymers' transverse thermal fluctuations. To assess the precision of the approach, brownian dynamics-based tension estimates were compared with the force applied to rhodamine-phalloidin labeled actin filaments bound to polymer beads and suspended between two optical traps. The transverse thermal fluctuations of each filament were monitored with a CCD camera, and the images were analyzed to obtain the filament's transverse displacement variance as a function of position along the filament, the filament's tension, and the camera's exposure time. A linear Brownian dynamics model was used to estimate the filament's tension. The estimated force was compared and agreed within 30% (when the tension <0.1 pN ) and 70% (when the tension <1 pN ) with the applied trap force. In addition, the paper presents concise asymptotic expressions for the mechanical compliance of a system consisting of a filament attached tangentially to bead handles (dumbbell system). The techniques described here can be used for noncontact estimates of polymers' and fibers' tension.
借助布朗动力学模型,通过监测聚合物的横向热涨落来估计聚合物张力是可行的。为评估该方法的精度,将基于布朗动力学的张力估计值与施加于结合在聚合物珠上并悬浮于两个光阱之间的罗丹明 - 鬼笔环肽标记肌动蛋白丝的力进行了比较。用电荷耦合器件(CCD)相机监测每根丝的横向热涨落,并对图像进行分析,以获得丝的横向位移方差作为沿丝位置、丝的张力和相机曝光时间的函数。使用线性布朗动力学模型来估计丝的张力。估计力与施加的阱力相比,在张力小于0.1皮牛(pN)时相差在30%以内,在张力小于1皮牛时相差在70%以内。此外,本文还给出了由切向附着于珠柄的丝组成的系统(哑铃系统)的力学柔量的简洁渐近表达式。这里描述的技术可用于聚合物和纤维张力的非接触估计。