成神经细胞朝向嗅球趋化迁移的数学建模
Mathematical Modelling of Neuroblast Chemotaxis Migration towards the Olfactory Bulb
AI总结:
本文提出成神经细胞朝向嗅球趋化迁移的数学模型,采用新型间断Galerkin方法保持最大值原理等连续模型特性,并通过参数调整拟合啮齿动物大脑真实数据验证了模型有效性。
摘要:
本文致力于成神经细胞(神经元前体细胞)在成熟前通常遵循的路径迁移的数学建模。该路径主要由趋化性和成神经细胞在大脑不同区域的异质性迁移能力决定。在数值模拟中,应用新型间断Galerkin方法能够保持连续模型的特性,如最大值原理。我们展示了一些成功的计算机测试,包括调整参数以拟合来自啮齿动物大脑的真实数据。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。