论文标题
在具有不同扩散率的半渗透分层介质中随机步行扩散模拟
Random walk diffusion simulations in semi-permeable layered media with varying diffusivity
论文作者
论文摘要
在本文中，我们介绍了基于分析和随机步行的解决方案，以在具有不同扩散率的半渗透分层介质中扩散。我们提出了一个基于处理膜渗透性和扩散变化为两个无穷小的单独现象的新的随机步行过境模型（杂种模型）。通过进行广泛的分析通量分析，将混合模型的性能与常用的膜模型（参考模型）进行了比较。我们从数值上证明了参考模型的局限性，并显示了我们新模型克服这些限制的能力。在基于组织学的域中，评估了两个随机步行过境模型对扩散张量心血管磁共振共振（DT-CMR）的模拟的适用性。我们考虑了更大的渗透率，以表明我们模型对生物组织以外的其他可能应用的潜力。
In this paper we present analytical and random walk based solutions to diffusion in semi-permeable layered media with varying diffusivity. We propose a new random walk transit model (hybrid model) based on treating the membrane permeability and the change in diffusion as two infinitesimal separate phenomena. By conducting an extensive analytical flux analysis, the performance of our hybrid model is compared with a commonly used membrane model (reference model). We numerically demonstrate the limitations of the reference model and show the capability of our new model to overcome these restrictions. The suitability of both random walk transit models for the application to simulations of the diffusion tensor cardiovascular magnetic resonance (DT-CMR) is assessed in a histology-based domain. We consider a larger range of permeabilities to show the potential of our model to other possible applications beyond biological tissue.
