Abstract
Abstract Oscillations are crucial for biological functions regulated by complex networks of interacting components. Model-based analysis will help to understand the oscillation mechanisms and predict system behaviour. Features such as period, amplitude, and phase are normally used to characterise oscillations. The corresponding objective sensitivity analysis is not trivial since the raw state sensitivity of limit cycle oscillators is unbounded as time tends to infinity. By introducing the concept of basal state sensitivity, a new phase sensitivity measure is presented based on the cumulative phase directly derived from the raw state sensitivity. In this context, all the objective sensitivities on amplitude, period, and phase can be related to the raw state sensitivity. The algorithm is developed based on intuitive measures of objective sensitivities that can be efficiently calculated. The results are illustrated by the application to a circadian rhythm model.
Original language | English |
---|---|
Pages (from-to) | 10466-10471 |
Number of pages | 6 |
Journal | IFAC Proceedings Volumes |
Volume | 44 |
Issue number | 1 |
DOIs | |
Publication status | Published - 31 Jan 2011 |
Keywords
- sensitivity analysis
- oscillatory systems
- basal state sensitivity
- phase sensitivity
- circadian rhythm