This article is devoted to the mathematical modeling of migration of neuroblasts, precursor cells of neurons, along the pathway they usually follow before maturing. This pathway is determined mainly by chemotaxis and the heterogeneous mobility of neuroblasts in different regions of the brain. In numerical simulations, the application of novel discontinuous Galerkin methods allows to maintain the properties of the continuous model such as the maximum principle. We present some successful computer tests including parameter adjust to fit real data from rodent brains.

翻译：本文致力于建立神经母细胞（神经元前体细胞）沿其成熟前常规迁移路径的数学模型。该迁移路径主要由趋化作用及神经母细胞在大脑不同区域的异质性运动能力所决定。在数值模拟中，应用新型间断伽辽金方法能够保持连续模型的最大值原理等特性。我们展示了若干成功的计算机测试案例，包括通过参数调整拟合啮齿类动物大脑真实数据的过程。