State Space Model Optimization for Hyperbilirubinemia Management using Truncated Balance Realization

Tai BANDISAK; Sawit TANTHANUCHT; Booncharoen WONGKITTISUKSA

Authors

Tai BANDISAK Department of Electrical Engineering, Faculty of Engineering, Prince of Songkla University, Songkhla 90110
Sawit TANTHANUCHT Department of Electrical Engineering, Faculty of Engineering, Prince of Songkla University, Songkhla 90110
Booncharoen WONGKITTISUKSA Department of Electrical Engineering, Faculty of Engineering, Prince of Songkla University, Songkhla 90110

Keywords:

Bilirubin, compartmental model, neonatal jaundice, model order reduction, truncated balance realization

Abstract

Neonatal jaundice is a high bilirubin accumulation experienced in 60 % of newborns leading to permanent brain damage. However, bilirubin reduction time for an appropriate treatment is difficult to determine because of complicated bilirubin kinetics. This article presents a compartmental model optimization of bilirubin. The truncated balanced realization is employed to reduce complexity of the conventional bilirubin model. The compartments are determined by absolute value and argument analysis that are also able to simplify the conventional 3-compartment model to a 2-compartment model. The proposed models are verified with Berk and Brown 3-compartment models with focuses on the half-life and the trough point. Verification results showed that the half-life point of the optimized model is 20 min faster and the processing time to the trough point is approximate 8 % slower than the Berk model. In comparison with the Brown model, the half-life of the optimized model is similar the Berk model, and the processing time to the trough is 5 % slower than the original model. The proposed algorithm simplifies the complex compartmental models yielding comparable results, though it has to be traded off with a little slower time for the trough, and could well be developed into a high performance neonatal jaundice treatment system.

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Author Biography

Tai BANDISAK, Department of Electrical Engineering, Faculty of Engineering, Prince of Songkla University, Songkhla 90110

Ph.D student

Department of Electrical engineering, Faculty of Engineer,

Prince of Songkla University

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