论文标题

运动与布朗力之间的相互作用对活性凝胶流变学的影响

The Effects of the Interplay Between Motor and Brownian Forces on the Rheology of Active Gels

论文作者

Córdoba, Andrés

论文摘要

活性凝胶在细胞内部发挥关键的机械作用,例如细胞分裂,运动和力传感。执行此类功能所需的独特机械性能是由分子电动机与半灵性聚合物丝之间的相互作用引起的。分子电动机可以将ATP水解水解中释放的能量转化为最高可Pico-Newton幅度的力。此外,形成活性凝胶的聚合物丝足够柔韧,可以对布朗力做出反应,但也足够僵硬,足以支撑由运动产生力引起的大张力。预计布朗力将产生重大作用,尤其是在运动活动中,准备稳定的非收缩活性凝胶用于流变学测量。在这里,最初以运动为主的动力学极限配制的活性凝胶的显微平均场理论扩展到包括布朗力。在此处介绍的模型中,即使在运动活动较高的系统中,在实际室温下,布朗力也可以准确地包括在内。结果表明,运动产生力与布朗力之间的微妙相互作用或竞争对活性凝胶的质量运输和流变特性具有重要影响。模型预测表明,在低频率下,活性凝胶的动态模量主要取决于运动蛋白动力学。然而,布朗力大大增加了松弛光谱的宽度,甚至可以影响较宽的频率范围内动态模量的形状,即使对于运动的比率与一百多个的布朗力之比。由于运动和布朗力之间的比率对ATP浓度敏感,因此此处介绍的结果揭示了活动凝胶的瞬时机械响应如何随着ATP浓度变化而变化。

Active gels perform key mechanical roles inside the cell, such as cell division, motion and force sensing. The unique mechanical properties required to perform such functions arise from the interactions between molecular motors and semi-flexible polymeric filaments. Molecular motors can convert the energy released in the hydrolysis of ATP into forces of up to pico-Newton magnitudes. Moreover, the polymeric filaments that form active gels are flexible enough to respond to Brownian forces, but also stiff enough to support the large tensions induced by the motor-generated forces. Brownian forces are expected to have a significant effect especially at motor activities at which stable non-contractile in vitro active gels are prepared for rheological measurements. Here, a microscopic mean-field theory of active gels originally formulated in the limit of motor-dominated dynamics is extended to include Brownian forces. In the model presented here Brownian forces are included accurately, at real room temperature, even in systems with high motor activity. It is shown that a subtle interplay, or competition, between motor-generated forces and Brownian forces has an important impact in the mass transport and rheological properties of active gels. The model predictions show that at low frequencies the dynamic modulus of active gels is determined mostly by motor protein dynamics. However, Brownian forces significantly increase the breadth of the relaxation spectrum and can affect the shape of the dynamic modulus over a wide frequency range even for ratios of motor to Brownian forces of more than a hundred. Since the ratio between motor and Brownian forces is sensitive to ATP concentration, the results presented here shed some light on how the transient mechanical response of active gels changes with varying ATP concentration.

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