论文标题

神经胶质瘤侵袭的数学建模:酸和脉管系统介导的二分法和组织各向异性的影响

Mathematical modeling of glioma invasion: acid- and vasculature mediated go-or-grow dichotomy and the influence of tissue anisotropy

论文作者

Conte, Martina, Surulescu, Christina

论文摘要

从动力学转运方程和亚细胞动力学开始,我们推断出依赖于Go-orwe二分法以及脉管系统,酸度和脑组织各向异性的影响的多尺度侵袭模型。该模型的数值模拟是使用多个出租车进行的,以评估肿瘤和内皮细胞生长的几种情况下的溶液行为。该模型纳入正常组织和坏死物质的宏观演化的扩展使我们能够进行肿瘤分级。

Starting from kinetic transport equations and subcellular dynamics we deduce a multiscale model for glioma invasion relying on the go-or-grow dichotomy and the influence of vasculature, acidity, and brain tissue anisotropy. Numerical simulations are performed for this model with multiple taxis, in order to assess the solution behavior under several scenarios of taxis and growth for tumor and endothelial cells. An extension of the model to incorporate the macroscopic evolution of normal tissue and necrotic matter allows us to perform tumor grading.

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