Team MONC, Inria, Institut de Mathématiques de Bordeaux, CNRS, Bordeaux INP, Univ. Bordeaux, Bordeaux, France.
SMARTc, CRCM Inserm UMR1068, CNRS UMR7258, Aix Marseille University, Marseille, France.
J Math Biol. 2022 Feb 28;84(4):27. doi: 10.1007/s00285-022-01719-1.
Understanding the dynamics underlying fluid transport in tumour tissues is of fundamental importance to assess processes of drug delivery. Here, we analyse the impact of the tumour microscopic properties on the macroscopic dynamics of vascular and interstitial fluid flow. More precisely, we investigate the impact of the capillary wall permeability and the hydraulic conductivity of the interstitium on the macroscopic model arising from formal asymptotic 2-scale techniques. The homogenization technique allows us to derive two macroscale tissue models of fluid flow that take into account the microscopic structure of the vessels and the interstitial tissue. Different regimes were derived according to the magnitude of the vessel wall permeability and the interstitial hydraulic conductivity. Importantly, we provide an analysis of the properties of the models and show the link between them. Numerical simulations were eventually performed to test the models and to investigate the impact of the microstructure on the fluid transport. Future applications of our models include their calibration with real imaging data to investigate the impact of the tumour microenvironment on drug delivery.
理解肿瘤组织中流体输运的动力学原理对于评估药物输送过程至关重要。在这里，我们分析了肿瘤微观性质对血管和细胞间液流动宏观动力学的影响。更准确地说，我们研究了毛细血管壁通透性和细胞间质水力传导率对源于形式渐近 2 尺度技术的宏观模型的影响。均匀化技术使我们能够推导出两个考虑到血管和细胞间质微观结构的流体流动的宏观组织模型。根据血管壁通透性和细胞间质水力传导率的大小，推导出了不同的模式。重要的是，我们对模型的性质进行了分析，并展示了它们之间的联系。最终进行了数值模拟来测试模型，并研究微观结构对流体输运的影响。我们模型的未来应用包括用真实的成像数据对其进行校准，以研究肿瘤微环境对药物输送的影响。
