Design of effective in-silico adjusting method to support a doctor about the plan of administering medicine

Yuichi Kida; Takuro Kida

doi:10.1117/12.848765

8 April 2010 Design of effective in-silico adjusting method to support a doctor about the plan of administering medicine

Yuichi Kida, Takuro Kida

Author Affiliations +

Proceedings Volume 7650, Health Monitoring of Structural and Biological Systems 2010; 76502Z (2010) https://doi.org/10.1117/12.848765
Event: SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2010, San Diego, California, United States

Abstract

We present the theory of the optimum running approximation of input signals using sample values of the corresponding output signals of multi-path analysis filters. The presented method uses time-limited running interpolation functions. As an application, we discuss design of in-silico smart adjusting-systems to support a doctor about the plan of administering medicine that is useful in personalized medical care. In this paper, firstly, we define a set of a finite number of signals in the initial set of signals and we present a one to one correspondence between each signal contained in the set of signals and the corresponding error of approximation of a certain finite time-interval. Secondly, based on this one-to-one correspondence, we prove that the presented running approximation minimizes various continuous worst-case measures of error at the same time. Certain reciprocal properties of the approximation are presented. Thirdly, extension to signal-estimation using multiple-input one-output system is presented. Finally, an application to the above in-silico adjusting method is discussed.

Citation Download Citation

Yuichi Kida and Takuro Kida "Design of effective in-silico adjusting method to support a doctor about the plan of administering medicine", Proc. SPIE 7650, Health Monitoring of Structural and Biological Systems 2010, 76502Z (8 April 2010); https://doi.org/10.1117/12.848765

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