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Developing objective sensitivity analysis of periodic systems: case studies of biological oscillators

Lu, Baoyun and Yue, Hong (2012) Developing objective sensitivity analysis of periodic systems: case studies of biological oscillators. Acta Automatica Sinica, 38 (7). pp. 1065-1073.

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Abstract

Sensitivity analysis is a powerful tool in investigating the impact of parameter variations on the change of system behaviours quantitatively. For a periodic system, sensitivity analysis is a challenging problem since the standard sensitivity metrics grow unbounded when time tends to infinity. Objective sensitivity analyses using various oscillation features such as period, phase, amplitude, etc. are therefore needed to circumvent this problem. In this work, a new concept of basal state sensitivity is proposed based on which a phase sensitivity calculation is derived. The improved period sensitivity calculation following an existing algorithm using singular value decomposition (SVD) is also presented, which provides a simple calculation for the basal state sensitivity. These new sensitivity calculations are developed with the purpose to analyse biological oscillators since there is an increasing interest in understanding how oscillations occur and what the main controlling factors are following a growing experimental and computational evidence of oscillations in biological systems. The improved calculation of period sensitivity is shown to be consistent with the previous methods through a well studied circadian rhythm model. The calculation of new objective sensitivities are also testified by the same circadian rhythm model as well as an oscillatory signal transduction pathway model, which further illustrates the efficiency of this approach in handling complex biological oscillators in the presence of reaction conservations.

Item type: Article
ID code: 41618
Keywords: biological oscillators , sensitivity analysis, phase sensitivity, period sensitivity , Electrical engineering. Electronics Nuclear engineering
Subjects: Technology > Electrical engineering. Electronics Nuclear engineering
Department: Faculty of Engineering > Electronic and Electrical Engineering
Related URLs:
Depositing user: Pure Administrator
Date Deposited: 22 Oct 2012 10:59
Last modified: 17 Jul 2013 11:14
URI: http://strathprints.strath.ac.uk/id/eprint/41618

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