Pulse is often used to excite biological systems. The inputs such as irrigation, therapy, and treatments to biological systems are also equivalent to pulses. This makes the biological system behave as switched models under the function of the input. To reduce difficulty in model parameter estimation, the system could be represented as a switched linear model under the pulse excitation. In this research, we studied the identification of a class of switched linear biological models with single input and the system matrix dependent on the intensity of excitation. System identifiability and identification were discussed. A recurrent-pulse excitation method was devised to provide necessary constraints for parameter estimation. The recurrent-pulse technique allowed determination of model parameters that would otherwise be difficult to determine uniquely. The usefulness of the method was demonstrated by examples including delayed fluorescence from photosystem II, which was well known as a versatile tool for sensing plant physiological status and environmental changes in the literature.

译文

:脉冲通常用于激发生物系统。诸如灌溉,治疗和对生物系统的处理之类的输入也等同于脉冲。这使得生物系统在输入的功能下表现为切换模型。为了减少模型参数估计的难度,可以将系统表示为脉冲激励下的开关线性模型。在这项研究中,我们研究了一类具有单输入和系统矩阵的开关线性生物模型的识别,该矩阵取决于激发强度。讨论了系统可识别性和识别性。设计了递归脉冲激励方法来为参数估计提供必要的约束。循环脉冲技术允许确定模型参数,否则将很难唯一确定模型参数。该方法的实用性通过实例得到了证明,其中包括来自Photosystem II的延迟荧光,该系统在文献中是众所周知的感知植物生理状态和环境变化的通用工具。

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