糖尿病相关葡萄糖吸收的非线性识别

G. Eigner, Katalin Koppány, Péter Pausits, L. Kovács
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引用次数: 0

摘要

在生物医学研究中,我们经常需要处理复杂的生物现象,这些现象通常用复杂的数学模型来描述。在大多数情况下,这些数学模型和要建模的系统也是非线性的。这些模型参数的合理调整一直是一个难以解决的问题。在许多研究领域和应用领域,例如在个性化医疗或生理过程控制中,使用这种复杂的模型是必不可少的。尽管有许多可用的识别技术,但在描述生理过程动力学的数学模型是高度非线性的情况下,没有通用的或“现成的”解决方案。我们的目标之一是开发一个简单,用户友好和灵活的识别框架,以支持识别复杂的非线性数学模型。该方法的性能可以用简单的度量来衡量。另一方面,我们的目标是成功实现葡萄糖吸收模型的识别框架,这对我们未来的工作至关重要,以验证先进控制算法的性能。结果表明,非线性识别框架在所有情况下都能满足预定义的要求,表现良好。
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Nonlinear identification of glucose absorption related to Diabetes Mellitus
In case of biomedical researches we often have to deal with complicated biological phenomenons, which are usually described with complex mathematical models. In most cases these mathematical models and the systems to be modelled are also nonlinear. The appropriate adjustment of the parameters of these models is always a problem which is hard to be solved. To work with such complex models is essential in many research fields and application areas e.g. in personalized medicine or by the control of physiological processes. Although there are many identification techniques available, there is no general or “oven-ready” solution in cases where the mathematical model describing the dynamics of the physiological processes is highly nonlinear. One of our aims was to develop a simple, user-friendly and flexible identification framework which supports the identification of complex, nonlinear mathematical models. The performance of the method can be measured by simple metric. On the other hand, our goal was to successfully realize the identification framework in case of glucose absorption models, which are essential in our future work in order to validate the performance of advanced control algorithms. Our results show that the nonlinear identification framework performed well, since the predefined requirements were satisfied in all cases.
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