Cobelli C, Mari A, Del Prato S, De Kreutzenberg S, Nosadini R, Jensen I
Department of Electronics and Informatics, University of Padua, Italy.
Am J Physiol. 1987 Nov;253(5 Pt 1):E584-90. doi: 10.1152/ajpendo.1987.253.5.E584.
In this paper a deconvolution scheme is presented to reconstruct the rate of appearance of subcutaneously injected insulin. Relevant aspects of experiment design are briefly described. Intravenous insulin kinetics are modeled to determine the impulse response of the system. The deconvolution problem is not ill conditioned and is solved using a least-squares method without imposing constraints on the input. An estimate of the error of the reconstructed input is provided. The reliability of the deconvolution scheme is tested by means of an independent validation study. Finally, the different sources of error that affect the method are discussed, and a figure of the global error is derived.
本文提出了一种去卷积方法来重建皮下注射胰岛素的出现率。简要描述了实验设计的相关方面。对静脉注射胰岛素动力学进行建模以确定系统的脉冲响应。该去卷积问题并非病态问题，采用最小二乘法求解，且不对输入施加约束。提供了重建输入误差的估计值。通过独立验证研究对去卷积方法的可靠性进行了测试。最后，讨论了影响该方法的不同误差来源，并得出了全局误差的数值。
