Butov Alexander A, Carey James R, Volkov Maxim A, Sehl Mary E, Yashin Anatoli I
Department of Applied Mathematics, Faculty of Mechanics and Mathematics, Ulyanovsk State University, Leo Tolstoi 42, 432700 Ulyanovsk, Russian Federation.
Biogerontology. 2003;4(6):387-95. doi: 10.1023/B:BGEN.0000006559.59110.10.
We propose a "protein and energy" free radical model of aging that predicts patterns of survival and fertility curves for Mediterranean fruit flies. Mathematical and simulation models of individual physiological processes were constructed in terms of stochastic differential equations. The free radical theory of aging was used as a basis for construction of the model and was extended to describe the dynamics of the protein and energy balance in the functioning organism, including the concept of a maximum capacity for energy production. We fit the model to observed patterns of survival and fertility in flies given the basic diet schemes used in respective experiments. Age patterns of fertility and survival were predicted under various diet scenarios using the model, revealing that the predictions of the model are in good agreement with experimental data.
我们提出了一种衰老的“蛋白质与能量”自由基模型,该模型预测了地中海果蝇的存活模式和繁殖力曲线。根据随机微分方程构建了个体生理过程的数学模型和模拟模型。衰老的自由基理论被用作构建该模型的基础,并被扩展以描述功能生物体中蛋白质和能量平衡的动态变化,包括能量产生的最大能力这一概念。我们根据各个实验中使用的基本饮食方案,将该模型与果蝇观察到的存活和繁殖模式进行拟合。使用该模型预测了各种饮食情况下的繁殖力和存活年龄模式,结果表明该模型的预测与实验数据高度吻合。