Improvement of efficiency in drug release is of profound importance in biomedical engineering. The drift and diffusion of Brownian particles in a flexible and porous medium is a typical model for describing the directional drug release system. The tilted periodic potential, usually referred to as the washboard potential (WBP), is a well-known model for describing the motion of Brownian particles in a complex medium. Considering that the drug cargo, such as hydrogel, is flexible and thermally fluctuating, a soft matter potential (SMP), which allows Brownian particles to actively modify the structure of the soft medium, is proposed to describe the polymer networks. The giant acceleration of diffusion (GAD) and the thermodynamic uncertainty relation (TUR) of Brownian particles are investigated in the SMP and WBP, and it is found that the SMP leads to lower GAD and energy cost ⟨q⟩ for a given precision A of drug directional transport. Furthermore, the results indicate that a more deformable drug cargo can achieve a higher directional transport efficiency, that is, a lower Q=⟨q⟩/A. This is potentially applicable to improve the efficiency of controlled directional drug release.

中文翻译：

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软物质势中的布朗粒子：聚合物网络中定向药物运输和释放的模型

提高药物释放效率在生物医学工程中具有极其重要的意义。布朗颗粒在柔性多孔介质中的漂移和扩散是描述定向药物释放系统的典型模型。倾斜周期势，通常称为洗衣板势（WBP），是描述复杂介质中布朗粒子运动的众所周知的模型。考虑到水凝胶等药物货物具有柔性和热波动性，提出了软物质势（SMP）来描述聚合物网络，该软物质势允许布朗粒子主动改变软介质的结构。在SMP和WBP中研究了布朗粒子的巨大扩散加速度（GAD）和热力学不确定性关系（TUR），发现对于给定的精度A，SMP导致较低的GAD和能量成本⟨q⟩药物定向运输。此外，结果表明，可变形的药物货物可以实现更高的定向运输效率，即更低的Q=⟨q⟩/A。这可能适用于提高受控定向药物释放的效率。