Modeling the dynamic behavior of biochemical regulatory networks

JJ Tyson, T Laomettachit, P Kraikivski - Journal of theoretical biology, 2019 - Elsevier
Strategies for modeling the complex dynamical behavior of gene/protein regulatory networks
have evolved over the last 50 years as both the knowledge of these molecular control …

Efficient modelling of yeast cell cycles based on multisite phosphorylation using coloured hybrid Petri nets with marking-dependent arc weights

M Herajy, F Liu, M Heiner - Nonlinear Analysis: Hybrid Systems, 2018 - Elsevier
With the increasing interest in systems biology to investigate the dynamics and behaviour of
biological reaction networks, the scales as well as the complexities of the models under …

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 …

A stochastic model of size control in the budding yeast cell cycle

M Ahmadian, J Tyson, Y Cao - Proceedings of the 2018 ACM …, 2018 - dl.acm.org
Cell size is a key characteristic that significantly affects many aspects of cellular physiology.
There are specific control mechanisms during cell cycle to maintain the cell size within a …

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 …

Hybrid ode/ssa model of the budding yeast cell cycle control mechanism with mutant case study

M Ahmadian, S Wang, J Tyson, Y Cao - Proceedings of the 8th ACM …, 2017 - dl.acm.org
The budding yeast cell cycle is regulated by complex and multi-scale control mechanisms,
and is subject to inherent noise in a cell, resulted from low copy numbers of species such as …

Accuracy analysis of hybrid stochastic simulation algorithm on linear chain reaction systems

M Chen, S Wang, Y Cao - Bulletin of mathematical biology, 2019 - Springer
Noise in cellular systems is often modeled and simulated with Gillespie's stochastic
simulation algorithm (SSA), but the low efficiency of the SSA limits its application to large …

Parameter estimation of stochastic models based on limited data

M Chen, Y Cao, LT Watson - ACM SIGBioinformatics Record, 2018 - dl.acm.org
Progress in experimental techniques enables a more accurate quantification of genes,
mRNA, and proteins at the single cell level. Provided with limited time series data from …

Visualization of the budding yeast cell cycle

J Cui - 2017 - vtechworks.lib.vt.edu
The cell cycle of budding yeast is controlled by a complex chemically reacting network of a
large group of species, including mRNAs and proteins. Many mathematical models have …

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 …