Department of Mathematics, University of Roma "Tor Vergata", Rome, Italy.
Istituto per le Applicazioni del Calcolo "M. Picone", Consiglio Nazionale delle Ricerche, Rome, Italy.
J Math Biol. 2023 Aug 30;87(3):49. doi: 10.1007/s00285-023-01985-7.
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 [Formula: see text] 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.
在本说明中，我们研究了人类大脑中阿尔茨海默病进展的数学模型。我们的方法的新颖之处在于将大脑表示为两个叠加的图，其中有毒蛋白质扩散，连接图表示神经网络，接近图考虑细胞外空间。实际上，[公式：见文本]淀粉样蛋白和 Tau 等有毒蛋白质在阿尔茨海默病的发展中起着至关重要的作用，并且已经成为医学治疗的目标。最近的生物医学文献强调了这些蛋白质协同作用的潜在影响。我们通过数值测试了各种建模假设，这些假设证实了这种协同作用的相关性。
