A workflow for the hybrid modelling and simulation of multi-timescale biological systems

M Herajy, F Liu, M Heiner - BioSystems, 2025 - Elsevier
With the steady advance of in-silico biological experimentation, model construction and
simulation becomes a ubiquitous tool to understand and predict the behaviour of many …

A hybrid stochastic model of the budding yeast cell cycle

M Ahmadian, JJ Tyson, J Peccoud, Y Cao - NPJ systems biology and …, 2020 - nature.com
The growth and division of eukaryotic cells are regulated by complex, multi-scale networks.
In this process, the mechanism of controlling cell-cycle progression has to be robust against …

[HTML][HTML] Efficient Finite-Difference Estimation of Second-Order Parametric Sensitivities for Stochastic Discrete Biochemical Systems

F Jabeen, S Ilie - Mathematical and Computational Applications, 2024 - mdpi.com
Biochemical reaction systems in a cell exhibit stochastic behaviour, owing to the
unpredictable nature of the molecular interactions. The fluctuations at the molecular level …

Analysis and remedy of negativity problem in hybrid stochastic simulation algorithm and its application

M Chen, Y Cao - Proceedings of the 2018 ACM International …, 2018 - dl.acm.org
The hybrid stochastic simulation algorithm, proposed by Haseltine and Rawlings, can
significantly improve the simulation efficiency for multiscale biochemical networks. However …

Stochastic simulation of biochemical systems: In memory of Dan T. Gillespie's contributions

Y Cao, P Linda, E Seitaridou - Bulletin of Mathematical Biology, 2019 - Springer
On April 19, 2017, sad news hit all of us in the research communities of computational
biology, stochastic simulation and applied physics. Our beloved friend, Dan T. Gillespie, a …

A hybrid stochastic model of the budding yeast cell cycle

A Mansooreh, JJ Tyson, J Peccoud… - NPJ Systems Biology …, 2020 - search.proquest.com
The growth and division of eukaryotic cells are regulated by complex, multi-scale networks.
In this process, the mechanism of controlling cell-cycle progression has to be robust against …

[HTML][HTML] Finding acceptable parameter regions of stochastic Hill functions for multisite phosphorylation mechanism

M Chen, M Ahmadian, LT Watson, Y Cao - The Journal of Chemical …, 2020 - pubs.aip.org
Multisite phosphorylation plays an important role in regulating switch-like protein activity and
has been used widely in mathematical models. With the development of new experimental …

Stochastic Modeling and Simulation of Multiscale Biochemical Systems

M Chen - 2019 - vtechworks.lib.vt.edu
Numerous challenges arise in modeling and simulation as biochemical networks are
discovered with increasing complexities and unknown mechanisms. With the improvement …