Alzheimer disease (AD) affects profoundly the quality of human life. Quantifying the severity degree of Alzheimer dementia for an individual person is critical for the early diagnose and prescription for delaying the further dementia progression. However, the quantitative diagnose for human subjects of the mild cognitively impairment (MCI) or AD with the different degree of dementia severity is a difficult task due to both the very broad distribution of dementia severities and the lack of good quantitative determinant to assess it. Here, based on cortical thickness profiles of human brains measured by magnetic resonance experiment, a new algebraic approach is presented for the personalized quantification of the severity degree of AD, ranging from 0 for the basin of cognitively normal state to 1 for AD state. Now one can unfold the broad distribution of dementia severities and corresponding cortex regions of human brains with MCI or AD by the different severity degree.

中文翻译：

---

通过对人脑皮层厚度分布的代数分析定量评估阿尔茨海默氏痴呆症的严重程度

阿尔茨海默氏病（AD）深刻影响着人们的生活质量。量化单个人的阿尔茨海默氏痴呆的严重程度对于早期诊断和延缓痴呆进一步发展的处方至关重要。然而，由于痴呆严重程度分布非常广泛且缺乏评估它的良好定量决定因素，对患有轻度认知障碍（MCI）或AD程度不同的痴呆严重程度的人类受试者进行定量诊断是一项艰巨的任务。在此，基于通过磁共振实验测量的人脑的皮质厚度分布，提出了一种新的代数方法，用于AD严重程度的个性化量化，范围从认知正常状态下的0到AD状态下的1。