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— A class of singularly perturbed stochastic differential equations (SDE) with linear drift and nonlinear diffusion terms is considered. We prove that, on a finite time interval, the trajectories of the slow variables can be well approximated by those of a system with reduced dimension as the singular perturbation parameter becomes small. In particular, we… (More)

— At the interconnection of two gene transcriptional components in a biomolecular network, the noise in the downstream component can be reduced by increasing its gene copy number. However, this method of reducing noise increases the load applied to the upstream system, called retroactivity, thereby causing a perturbation in the upstream system. In this… (More)

In this paper, we focus on model reduction of biomolecular systems with multiple timescales , modeled using the Linear Noise Approximation. Considering systems where the Linear Noise Approximation can be written in singular perturbation form, with as the singular perturbation parameter, we obtain a reduced order model that approximates the slow variable… (More)

In this paper, we focus on model reduction of biomolecular systems with multiple timescales , modeled using the Linear Noise Approximation. Considering systems where the Linear Noise Approximation can be written in singular perturbation form, with as the singular perturbation parameter, we obtain a reduced order model that approximates the slow variable… (More)

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