论文标题
β-淀粉样蛋白和tau蛋白在阿尔茨海默氏病中的作用：图上的数学模型
The role of beta-amyloid and tau proteins in Alzheimer's disease: a mathematical model on graph
论文作者
论文摘要
在本说明中，我们研究了人类大脑中阿尔茨海默氏病进展的数学模型。我们方法的新颖性在于大脑的表示为两个超塑性图，其中有毒蛋白扩散，代表神经网络的连接图以及考虑细胞外空间的接近图。 β-淀粉样蛋白和Tau等有毒蛋白实际上起着至关重要的作用，在阿尔茨海默氏病的发展中起着至关重要的作用，并且分别是医疗治疗的靶标。最近的生物医学文献强调了这些蛋白质的协同作用的潜在影响。我们在数值上测试了各种建模假设，这些假设证实了该协同作用的相关性。
In this Note we study a mathematical model for the progression of Alzheimer's Disease in the human brain. The novelty of our approach consists in the representation of the brain as two superposed graphs where toxic proteins diffuse, the connectivity graph which represents the neural network, and the proximity graph which takes into account the extracellular space. Toxic proteins such as beta-amyloid and tau play in fact a crucial role in the development of Alzheimer's disease and, separately, have been targets of medical treatments. Recent biomedical literature stresses the potential impact of the synergetic action of these proteins. We numerically test various modelling hypotheses which confirm the relevance of this synergy.
