Franzone P C, Paganuzzi A, Stefanelli M
J Math Biol. 1982;15(2):173-201. doi: 10.1007/BF00275072.
A mathematical model of iron metabolism is presented. It comprises the following iron pools within the body: transferrin-bound iron in the plasma, iron in circulating red cells and their bone marrow precursors, iron in mucosal, parenchymal and reticuloendothelial cells. The control exerted by a hormone, called erythropoietin, on bone marrow utilization of iron for hemoglobin synthesis is taken into account. The model so obtained consists of a system of functional differential equations of retarded type. Most model parameters can be estimated from radiotracer experiments, others can be measured and numerical values can be assigned to the remaining ones making few reasonable assumptions according to the available physiological knowledge. Iron metabolism behavior under different therapeutical treatments was stimulated. Model predictions were compared to experimental data collected in clinical routine.
本文提出了一个铁代谢的数学模型。它包括体内以下铁池：血浆中转铁蛋白结合的铁、循环红细胞及其骨髓前体细胞中的铁、黏膜、实质和网状内皮细胞中的铁。考虑了一种名为促红细胞生成素的激素对骨髓利用铁进行血红蛋白合成的控制作用。由此得到的模型由一个延迟型泛函微分方程组组成。大多数模型参数可通过放射性示踪实验估计，其他参数可测量，根据现有的生理学知识做出一些合理假设后，可为其余参数赋予数值。模拟了不同治疗方法下的铁代谢行为。将模型预测结果与临床常规收集的实验数据进行了比较。
