胶质瘤侵袭的数学模型：酸和血管介导的去或生长二分法和tissue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
摘要：
从动力学传输方程和亚细胞动力学，我们推导出一个多尺度模型胶质瘤的侵袭依赖于去或生长二分法和血管系统，酸度和脑组织各向异性的影响。对该模型进行了数值模拟，以评估肿瘤和内皮细胞在几种情况下的生长和生长情况下的解行为。模型的扩展包括正常组织和坏死物质的宏观演变，使我们能够进行肿瘤分级。
英文摘要：
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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