论文标题
聚合物网络中纳米颗粒扩散的双弹簧模型
A Double-Spring Model for Nanoparticle Diffusion in a Polymer Network
论文作者
论文摘要
在生物医学工程和纳米技术中,聚合物网络中纳米颗粒(NP)的运输非常重要。预测限制在有序网络中的NP的有效扩散率是该边界领域的一个有趣的重点。在本研究中,通过单个颗粒耗散粒子动力学(DPD)研究了NP在不同NP半径和网络刚度的未进入聚合物网络中的扩散。已经发现,由于连接偏差引起的变形极大地促进了NP在跳跃过程中克服的潜在障碍$ U $,并且在较大的NP和较低网络刚性的环路伸展所引起的应变能量上占主导地位。基于连续力学理论的分析表明,这种变形的能量与连接偏差之间的关系可以用非线性弹簧来描述。考虑到循环拉伸和连接偏差的两个效果,提出了双弹簧模型来表征NP在有序网络中的扩散率。理论预测与我们的数值模拟非常吻合,并且与可用的研究一致。该模型有助于提高我们对复杂生物学环境中纳米颗粒动态行为的理解,并在设计生物医学应用方面提供了理论指导。
The transport of nanoparticles (NPs) in polymer networks, as a typical simplified model describing various structures in living systems, is profoundly important in biomedical engineering and nanotechnology. Predicting the effective diffusivity of NP confined in an ordered network has been an intriguing focus in this frontier field. In the present study, the diffusion of NPs in an unentangled polymer network for different NP radii and network stiffness is numerically investigated by single particle dissipative particle dynamics (DPD). It is found that, the deformation due to the junction deviation contributes significantly to the the potential barrier $U$ for the NP to overcome during hopping, and it is dominated over the strain energy induced by loop stretching for larger NPs and lower network rigidity. Analyses based on the theory of continuum mechanics reveal that the relation between this deformed energy and the junction deviation can be described by a non-linear spring. Taking into account both effects of the loop stretching and junction deviation, a double-spring model is proposed to characterize the diffusivity of the NPs in the ordered network. The theoretical prediction is in good agreement with our numerical simulations, and qualitatively consistent with the investigations available. This model is helpful to improve our understanding on the dynamic behavior of nanoparticle in complex biological environment, and provide theoretical guidance in designing biomedical applications.