论文标题
神经细胞趋化性向嗅球迁移的数学建模
Mathematical Modelling of Neuroblast Chemotaxis Migration towards the Olfactory Bulb
论文作者
论文摘要
本文致力于神经细胞的迁移，神经元的前体细胞的迁移，沿着它们通常在成熟之前遵循的途径。该途径主要取决于趋化性和大脑不同区域中神经细胞的异质迁移率。在数值模拟中，新型不连续的Galerkin方法的应用允许保持连续模型的性质，例如最大原理。我们提供了一些成功的计算机测试，包括参数调整以适合啮齿动物大脑的真实数据。
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.
