A mathematical model for the admission process in intensive care units
A mathematical model for the admission process in intensive care units
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DOI：
10.1016/j.cnsns.2013.05.031
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
G. R. R. Lamooki-G.-R.-R.-Lamooki-3263715;Farzaneh Maleki;A. Hajihosseini
中科院分区：
文献类型：
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作者：
G. R. R. Lamooki-G.-R.-R.-Lamooki-3263715;Farzaneh Maleki;A. Hajihosseini
建立了重症监护病房（ICU）入院过程的数学模型。结果表明，该模型表现出双稳态的某些值的参数。特别是，它被观察到，在一个二维参数空间中，两个鞍结分岔曲线终止于尖点分岔的一个点，创建一个封闭的区域中，该模型有一个不稳定和两个稳定状态。结果表明，在双稳态的存在下，参数的值的变化可能会导致不希望的结果，在接纳过程中的状态变量的值突然改变。使用数值模拟，它也讨论了如何可以避免这样的结果，通过适当地调整参数值。
A mathematical model is given for the admission process in Intensive Care Units (ICUs). It is shown that the model exhibits bistability for certain values of its parameters. In particular, it is observed that in a two-dimensional parameter space, two saddle-node bifurcation curves terminate at a single point of the cusp bifurcation, creating an enclosed region in which the model has one unstable and two stable states. It is shown that in the presence of bistability, variations in the value of parameters may lead to undesired outcomes in the admission process as the value of state variables abruptly changes. Using numerical simulations, it is also discussed how such outcomes can be avoided by appropriately adjusting the parameter values.