Luca Magdalena, Chavez-Ross Alexandra, Edelstein-Keshet Leah, Mogilner Alex
Massachusetts College of Pharmacy and Health Sciences, School of Arts and Sciences, 179 Longwood Avenue, Boston, MA 021 15-5896, USA.
Bull Math Biol. 2003 Jul;65(4):693-730. doi: 10.1016/S0092-8240(03)00030-2.
Chemotactic cells known as microglia are involved in the inflammation associated with pathology in Alzheimer's disease (AD). We investigate conditions that lead to aggregation of microglia and formation of local accumulations of chemicals observed in AD senile plaques. We develop a model for chemotaxis in response to a combination of chemoattractant and chemorepellent signaling chemicals. Linear stability analysis and numerical simulations of the model predict that periodic patterns in cell and chemical distributions can evolve under local attraction, long-ranged repulsion, and other constraints on concentrations and diffusion coefficients of the chemotactic signals. Using biological parameters from the literature, we compare and discuss the applicability of this model to actual processes in AD.
被称为小胶质细胞的趋化细胞参与了与阿尔茨海默病（AD）病理相关的炎症反应。我们研究了导致小胶质细胞聚集以及在AD老年斑中观察到的化学物质局部积累形成的条件。我们建立了一个响应趋化因子和化学排斥信号化学物质组合的趋化模型。该模型的线性稳定性分析和数值模拟预测，在局部吸引、长程排斥以及对趋化信号浓度和扩散系数的其他限制条件下，细胞和化学物质分布的周期性模式可能会演变。利用文献中的生物学参数，我们比较并讨论了该模型对AD实际过程的适用性。
