Sohrabi Salman, Wang Shunqiang, Tan Jifu, Xu Jiang, Yang Jie, Liu Yaling
Department of Mechanical Engineering & Mechanics, Lehigh University, Bethlehem, PA 18015, USA.
School of Mechanics and Engineering, Southwest Jiaotong University, 610031 Chengdu, China.
J Biomech. 2017 Jan 4;50:240-247. doi: 10.1016/j.jbiomech.2016.11.023. Epub 2016 Nov 10.
Quantitative understanding of nanoparticles delivery in a complex vascular networks is very challenging because it involves interplay of transport, hydrodynamic force, and multivalent interactions across different scales. Heterogeneous pulmonary network includes up to 16 generations of vessels in its arterial tree. Modeling the complete pulmonary vascular system in 3D is computationally unrealistic. To save computational cost, a model reconstructed from MRI scanned images is cut into an arbitrary pathway consisting of the upper 4-generations. The remaining generations are represented by an artificially rebuilt pathway. Physiological data such as branch information and connectivity matrix are used for geometry reconstruction. A lumped model is used to model the flow resistance of the branches that are cut off from the truncated pathway. Moreover, since the nanoparticle binding process is stochastic in nature, a binding probability function is used to simplify the carrier attachment and detachment processes. The stitched realistic and artificial geometries coupled with the lumped model at the unresolved outlets are used to resolve the flow field within the truncated arterial tree. Then, the biodistribution of 200nm, 700nm and 2µm particles at different vessel generations is studied. At the end, 0.2-0.5% nanocarrier deposition is predicted during one time passage of drug carriers through pulmonary vascular tree. Our truncated approach enabled us to efficiently model hemodynamics and accordingly particle distribution in a complex 3D vasculature providing a simple, yet efficient predictive tool to study drug delivery at organ level.
定量理解纳米颗粒在复杂血管网络中的输送极具挑战性,因为它涉及不同尺度下的传输、流体动力和多价相互作用之间的相互影响。非均匀肺网络在其动脉树中包含多达16代血管。对完整的三维肺血管系统进行建模在计算上是不现实的。为了节省计算成本,将从MRI扫描图像重建的模型切割成由上4代组成的任意路径。其余几代由人工重建的路径表示。诸如分支信息和连通性矩阵等生理数据用于几何重建。采用集总模型对从截断路径中切除的分支的流动阻力进行建模。此外,由于纳米颗粒结合过程本质上是随机的,因此使用结合概率函数来简化载体的附着和脱离过程。将缝合的真实和人工几何形状与未解析出口处的集总模型相结合,以求解截断动脉树内的流场。然后,研究了200nm、700nm和2μm颗粒在不同血管代的生物分布。最后,预测在药物载体单次通过肺血管树期间纳米载体的沉积率为0.2 - 0.5%。我们的截断方法使我们能够有效地对血流动力学以及复杂三维脉管系统中的颗粒分布进行建模,从而提供了一个简单而有效的预测工具,用于在器官水平研究药物递送。