A Structure Preserving Model Order Reduction Method for Calcium Homeostatic System.

A Structure Preserving Model Order Reduction Method for Calcium Homeostatic System.
Math Biosci. 2019 Mar 28;:
Authors: Biswal B, Sen S, Maka S
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.
PMID: 30930136 [PubMed - as supplied by publisher]

Source: Mathematical Biosciences - March 27, 2019 Category: Statistics Authors: Biswal B, Sen S, Maka S Tags: Math Biosci Source Type: research