299 citations · 1k across the 57 of their papers we have counts for
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Noise-induced Mixing and Multimodality in Reaction Networks
Tomislav Plesa, Radek Erban, Hans G. Othmer
We analyze a class of chemical reaction networks under mass-action kinetics and involving multiple time-scales, whose deterministic and stochastic models display qualitative differ…
Noise Control for DNA Computing
Tomislav Plesa, Konstantinos C. Zygalakis, David F. Anderson +1
Synthetic biology is a growing interdisciplinary field, with far-reaching applications, which aims to design biochemical systems that behave in a desired manner. With the advanceme…
Test Models for Statistical Inference: Two-Dimensional Reaction Systems Displaying Limit Cycle Bifurcations and Bistability
Tomislav Plesa, Tomas Vejchodsky, Radek Erban
Theoretical results regarding two-dimensional ordinary-differential equations (ODEs) with second-degree polynomial right-hand sides are summarized, with an emphasis on limit cycles…
Hybrid framework for the simulation of stochastic chemical kinetics
Andrew Duncan, Radek Erban, Konstantinos Zygalakis
Stochasticity plays a fundamental role in various biochemical processes, such as cell regulatory networks and enzyme cascades. Isothermal, well-mixed systems can be modelled as Mar…
Parameter estimation and bifurcation analysis of stochastic models of gene regulatory networks: tensor-structured methods
Shuohao Liao, Tomas Vejchodsky, Radek Erban
Stochastic modelling provides an indispensable tool for understanding how random events at the molecular level influence cellular functions. In practice, the common challenge is to…