Many biochemical reaction networks are inherently multiscale in time and in the counts of
participating molecular species. A standard technique to treat different time scales in the …

We examine reaction networks (CRNs) through their associated continuous-time Markov
processes. Studying the dynamics of such networks is in general hard, both analytically and …

Noise is often indispensable to key cellular activities, such as gene expression,
necessitating the use of stochastic models to capture its dynamics. The chemical master …

Chemical reaction networks (CRNs) are fundamental computational models used to study
the behavior of chemical reactions in well-mixed solutions. They have been used …

This thesis advances our understanding of three important aspects of biological systems
engineering: analysis, design, and computational methods. First, biological circuit design is …

Noise is often indispensable to key cellular activities, such as gene expression,
necessitating the use of stochastic models to capture its dynamics. The chemical master …

Noise is indispensible to key cellular activities, including gene expression coordination and
probabilistic differentiation. Stochastic models, such as the chemical master equation (CME) …

Many biochemical reaction networks are inherently multiscale in time and in the counts of
participating molecular species. A standard technique to treat different time scales in the …