A structure preserving model order reduction method for calcium homeostatic system.

Affiliation

Department of Electrical Engineering, Indian Institute of Technology, Kharagpur 721302, India. Electronic address: [Email]

Abstract

Calcium Homeostasis is a complex physiological process. Its mathematical model results in high order differential equation. In this paper, a model order reduction technique, based on time scale separation is proposed for a 27th order Calcium Homeostasis and Bone Remodeling (CHBR) system. The original state-space model after linearization has been decoupled into three reduced order subsystems: "Very-Slow", "Slow" and "Fast", at the same time preserving the structure of the system. The time and frequency response of individual reduced order model has been compared with the response of the original system. Furthermore, the effect of administering a therapeutic daily moderate dose of PTH has been studied with the help of reduced order models.

Keywords

Calcium homeostasis,Eigenvalue clustering,Order reduction,Participation factor,Permutation matrix,Timescale separation,

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