乳腺肿瘤组织溶质运移的混合理论模型
Mixture theory modeling for characterizing solute transport in breast tumor tissues
摘要:
溶质传输模型使用混合物理论,适用于纳米粒子的积累和浓度衰减的组织空间中的不同血管配置。对于0.1 kDa和70 kDa之间的五种溶质分子量,进行了具有两个平行圆柱形血管(2 BC)和平行于包埋在组织圆柱体中的血管(BC_LC)的淋巴管的单个毛细管配置(SBC)的比较。我们发现,与单个毛细血管相比,第二毛细血管的存在降低了血管外浓度,并且这种降低通过淋巴管的存在而增强。两个相邻血管之间的并流流动方向导致组织空间中较大颗粒尺寸的非均匀纳米颗粒分布,而较小颗粒(0.1 kDa和3 kDa)显示出在逆流流动期间局部捕获在组织中的倾向。相对于血管直径改变毛细管间距离显示,与参考SBC配置相比,2 BC的浓度偏差为10- 30%,BC_LC配置的浓度偏差为45-60%。最后,我们引入了一个无量纲的时间尺度,捕获的concertation作为运输和几何参数的函数。我们发现组织空间中的峰值溶质浓度发生在无量纲时间T_peak^* = 0.027+/-0.018,与溶质尺寸、组织结构和微血管流动方向无关。这表明,如果确实存在这样一个通用的时间尺度,则对该时间的了解将允许估计组织中溶质浓度达到峰值的时间窗口。因此,这可以帮助设计未来的疗效研究,作为光热疗法中触发药物释放或激光激发的例子。
英文摘要:
Solute transport is modeled using mixture theory, applied to the nanoparticle accumulation and concentration decay in the tissue space for different vascular configurations. A comparison of a single capillary configuration (SBC) with two parallel cylindrical blood vessels (2 BC) and a lymph vessel parallel to a blood vessel (BC_LC) embedded in the tissue cylinder is performed for five solute molecular weights between 0.1 kDa and 70 kDa. We found that the presence of a second capillary reduces the extravascular concentration compared to a single capillary and this reduction is enhanced by the presence of a lymph vessel. Co-current flow direction between two adjacent vessels led to nonhomogeneous nanoparticle distribution for larger particle sizes in the tissue space, while smaller particles (0.1 kDa and 3 kDa) showed the propensity to get trapped locally in the tissue during counter-current flow. Varying the intercapillary distance with respect to vessel diameter shows a deviation of 10-30 % concentration for 2 BC and 45-60% concentration for BC_LC configuration compared to the reference SBC configuration. Finally, we introduce a non-dimensional time scale that captures the concertation as a function of the transport and geometric parameters. We find that the peak solute concentration in the tissue space occurs at a non-dimensional time, T_peak^* = 0.027+/-0.018, irrespective of the solute size, tissue architecture, and microvessel flow direction. This suggests that if indeed such a universal time scale holds, the knowledge of this time would allow estimation of the time window at which solute concentration in tissue peaks. Hence this can aid in the design of future therapeutic efficacy studies as an example for triggering drug release or laser excitation in the case of photothermal therapies.
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