Mathematical Biosciences Institute, The Ohio State University, Columbus, OH 43210, USA.
J Theor Biol. 2012 May 7;300:91-9. doi: 10.1016/j.jtbi.2012.01.024. Epub 2012 Jan 23.
Iron is a metal essential for cellular metabolism. However, excess iron available for reactions contributes to the formation of dangerous reactive oxygen species, such as the hydroxyl radical, via the Fenton reaction. Therefore, intracellular iron levels are tightly constrained by a control system of proteins. This paper contains a mathematical model, in the form of a system of five ordinary differential equations, of the core of this control system, including the labile iron pool as well as proteins that regulate uptake, storage, and export and are connected through negative feedback loops. The model is validated using data from an overexpression experiment with cultured human breast epithelial cells. The parameters in the mathematical model are not known for this particular cell culture system, so the analysis of the model was done for a generic choice of parameters. Through a mixture of analytical arguments and extensive simulations it is shown that for any choice of parameters the model reaches a unique stable steady state, thereby ruling out oscillatory behavior. It is shown furthermore that the model parameters are identifiable through suitable experiments.
铁是细胞代谢所必需的金属。然而,过多的铁可用于反应,通过芬顿反应形成危险的活性氧物质,如羟基自由基。因此,细胞内铁水平受到蛋白质控制系统的严格限制。本文包含了一个核心控制系统的数学模型,以五个常微分方程的形式表示,包括不稳定铁池以及调节摄取、储存和输出的蛋白质,这些蛋白质通过负反馈环连接。该模型使用培养的人乳腺上皮细胞的过表达实验数据进行了验证。由于该特定细胞培养系统中不知道数学模型中的参数,因此对模型进行了参数的一般选择的分析。通过混合分析论证和广泛的模拟,表明对于任何参数选择,模型都达到了唯一的稳定稳态,从而排除了振荡行为。此外,还表明可以通过适当的实验来识别模型参数。