Kramer Ivan
Department of Physics, University of Maryland Baltimore County, 1000 Hilltop Circle, Catonsville, MD 21250, USA.
Comput Math Methods Med. 2010 Jun;11(2):119-59. doi: 10.1080/17486700902910076.
The series of mutations that cause brain cells to spontaneously and randomly die leading to Alzheimer's disease (AD) is modelled. The prevalence of AD as a function of age in males and females is calculated from two very different mutation models of brain cell death. Once the prevalence functions are determined, the number of people with AD in any country or city can be estimated. The models developed here depend on three independent parameters: the number of mutations necessary for a brain cell associated with AD to spontaneously die, the average time between mutations, and the fraction of the risk population that is immune to developing the disease, if any. The values of these parameters are determined by fitting the model's AD incidence function to the incidence data. The best fits to the incidence rate data predict that as much as 74.1% of males and 79.5% of females may be naturally immune to developing AD. Thus, the development of AD is not a normal or inevitable result of the aging process. These fits also predict that males and females develop AD through different pathways, requiring a different number of mutations to cause the disease. The number of people in the USA with AD in the year 2000 is estimated to be 451,000. It is of paramount importance to determine the nature of the immunity to AD predicted here. Finding ways of blocking the mutations leading to the random, spontaneous death of memory brain cells would prevent AD from developing altogether.
对导致脑细胞自发且随机死亡进而引发阿尔茨海默病(AD)的一系列突变进行了建模。根据两种截然不同的脑细胞死亡突变模型,计算了AD在男性和女性中随年龄变化的患病率。一旦确定了患病率函数,就可以估算出任何国家或城市中患有AD的人数。这里开发的模型依赖于三个独立参数:与AD相关的脑细胞自发死亡所需的突变数量、突变之间的平均时间,以及对该疾病具有免疫能力(如果存在)的风险人群比例。通过将模型的AD发病率函数与发病率数据进行拟合来确定这些参数的值。对发病率数据的最佳拟合预测,高达74.1%的男性和79.5%的女性可能对患AD具有天然免疫力。因此,AD的发展并非衰老过程的正常或必然结果。这些拟合还预测,男性和女性通过不同途径患AD,导致该疾病所需的突变数量不同。据估计,2000年美国患有AD的人数为45.1万。确定这里预测的对AD免疫的本质至关重要。找到阻止导致记忆脑细胞随机、自发死亡的突变的方法将完全预防AD的发生。