Fractional-Order Modeling of the Depth of Analgesia as Reference Model for Control Purposes

被引：0

作者：

Muresan, Cristina I. ^{[1
]}

Hegedus, Erwin T. ^{[1
]}

Mihai, Marcian D. ^{[1
]}

Othman, Ghada Ben ^{[2
]}

Birs, Isabela ^{[1
,2
]}

Copot, Dana ^{[1
,2
]}

Dulf, Eva Henrietta ^{[1
]}

De Keyser, Robin ^{[2
]}

Ionescu, Clara M. ^{[1
,2
]}

Neckebroek, Martine ^{[3
]}

机构：

[1] Tech Univ Cluj Napoca, Dept Automat, Memorandumului St 28, Cluj Napoca 400114, Romania

[2] Univ Ghent, Dept Electromech Syst & Met Engn, Res Grp Dynam Syst & Control, Tech Lane Sci Pk 125, B-9052 Ghent, Belgium

[3] Ghent Univ Hosp, Dept Anesthesia, C Heymanslaan 10, B-9000 Ghent, Belgium

来源：

FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 09期

基金：

欧洲研究理事会;

关键词：

analgesia modeling; pain index; fractional-order models; closed-loop control of anesthesia; CLOSED-LOOP CONTROL; REMIFENTANIL; ANESTHESIA; PROPOFOL; CARE;

D O I：

10.3390/fractalfract8090539

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Little research has been carried out in terms of modeling and control of analgesia. However, emerging new technology and recent prototypes paved the way for several ideas on pain modeling for control. Recently, such an idea has been proposed for measuring the Depth of Analgesia (DoA). In this paper, that solution is further exploited towards obtaining a novel fractional-order model and dedicated controller for DoA. First, clinical data from patients undergoing general anesthesia are used to determine a commensurate fractional-order model of the skin impedance at each sampling period. Second, we provide a proof of concept indicating that fractional order changes due to variations in the infused opioid drug (Remifentanil). Third, a fractional-order model for DoA is developed correlating the changes in the pain index (as the output signal) and the Remifentanil infusion rate (as the input signal). Standard optimization routines are used to estimate the parameters. A database of 19 real patients is used. Lastly, a preliminary fractional-order controller is designed and tested in simulation for the 19 patients. The closed-loop simulation results correspond to the expected clinical outcomes.

引用

页数：22

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