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arXiv · 1604.05378

Model order reduction for Linear Noise Approximation using time-scale separation (Extended Version)

Narmada Herath·Domitilla Del Vecchio
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Abstract

In this paper, we focus on model reduction of biomolecular systems with multiple time-scales, modeled using the Linear Noise Approximation. Considering systems where the Linear Noise Approximation can be written in singular perturbation form, with $\epsilon$ as the singular perturbation parameter, we obtain a reduced order model that approximates the slow variable dynamics of the original system. In particular, we show that, on a finite time-interval, the first and second moments of the reduced system are within an $O(\epsilon)$-neighborhood of the first and second moments of the slow variable dynamics of the original system. The approach is illustrated on an example of a biomolecular system that exhibits time-scale separation.

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Narmada Herath, Domitilla Del Vecchio. 2016-04-18. Model order reduction for Linear Noise Approximation using time-scale separation (Extended Version). https://arxiv.org/abs/1604.05378

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