发表机构
Institute for Theoretical Physics, Heidelberg University; BioQuant, Heidelberg University; Max Planck Institute for Medical Research（海德堡大学理论物理研究所; 海德堡大学生物定量研究中心; 马克斯·普朗克医学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究开发半解析粘弹性模型，结合摄动与分波展开法，预测超声诱导细胞内流的流型与能量分布，揭示流反转及密度、可压缩性对比的影响，探讨其在细胞感知信号传导的潜在应用。
AI 中文摘要
超声正越来越多地用于控制生物细胞，但其多种物理效应（包括辐射力、流、加热和空化）需要能够量化其相对强度的理论框架。本文开发了一种半解析模型，用于预测超声诱导细胞内流的流型和能量分布。细胞被建模为浸没在具有不同粘弹性质的流体中的粘弹性液滴，针对该几何结构，采用声流控中常用的摄动展开法求解带有Oldroyd-B本构律的动量方程，再通过分波展开和显式积分求解摄动不同阶次的方程。我们针对与合成聚合物及蛋白质溶液均相关的一系列参数研究该模型，发现一系列流反转现象，可将其与能量在不同模式中的分布关联起来；还考虑了密度和可压缩性的对比，其会改变这些转变并引入新的转变。最后，我们讨论了这些数学结果对于细胞感知和信号传导的潜在生物学意义。
英文摘要
Ultrasound is increasingly used to control biological cells, but its multiple physical effects, including radiation force, streaming, heating, and cavitation, require theoretical frameworks that can quantify their relative strengths. Here we develop a semi-analytical model to predict flow patterns and energy distributions of ultrasound-induced intracellular streaming. Cells are modeled as viscoelastic droplets immersed in a fluid with different viscoelastic properties. For this geometry, the momentum equation with an Oldroyd-B constitutive law is solved using a perturbation expansion commonly applied in acoustofluidics. The resulting equations for the different orders of the expansion are solved using partial wave expansion and explicit integration. We investigate our model for a range of parameters which is relevant both for synthetic polymer and for protein solutions. We find a series of flow reversals that we can connect to the distribution of energy into the different modes. We also consider density and compressibility contrasts, which shift these transitions and introduce new ones. Finally, we discuss the potential biological relevance of our mathematical results for cellular sensing and signaling.
CommentsRevtex, 22 pages, 7 figures, 6 appendices, 89 references
