Time-keeping and decision-making in living cells: Part II

JJ Tyson, A Csikasz-Nagy, D Gonze… - Interface …, 2022 - royalsocietypublishing.org
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Stochastic modeling and simulation of reaction-diffusion system with Hill function dynamics

M Chen, F Li, S Wang, Y Cao - Proceedings of the 7th ACM international …, 2016 - dl.acm.org
In this paper, we demonstrate that in one dimensional domain, highly nonlinear reaction
dynamics given by Hill function may have dramatic changes when discretization size is …

Modeling the temporal dynamics of master regulators and CtrA proteolysis in Caulobacter crescentus cell cycle

C Xu, H Hollis, M Dai, X Yao, LT Watson… - PLoS Computational …, 2022 - journals.plos.org
The cell cycle of Caulobacter crescentus involves the polar morphogenesis and an
asymmetric cell division driven by precise interactions and regulations of proteins, which …

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 …

Turing-pattern model of scaffolding proteins that establish spatial asymmetry during the cell cycle of Caulobacter crescentus

C Xu, JJ Tyson, Y Cao - Iscience, 2023 - cell.com
The crescent-shaped bacterium Caulobacter crescentus divides asymmetrically into a
sessile (stalked) cell and a motile (flagellated) cell. This dimorphic cell division cycle is …

Bridging intracellular scales by mechanistic computational models

LA Widmer, J Stelling - Current opinion in biotechnology, 2018 - Elsevier
Highlights•Intracellular dynamics span many spatial, temporal, and molecular abundance
scales.•Multi-class models enable to bridge scales while being computationally …

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 …

Mathematical Model of the Cell Cycle Control and Asymmetry Development in Caulobacter crescentus

C Xu - 2022 - vtechworks.lib.vt.edu
Caulobacter crescentus goes through a classic dimorphic cell division cycle to adapt to the
stringent environment and reduce intraspecific competition. Caulobacter mother cell gives …

Modeling the Cell Cycle of Caulobacter crescentus

R Blossey - Cell Cycle Regulation and Development in …, 2021 - Springer
Given the accumulated detailed knowledge about the molecular regulators in the cell cycle
of Caulobacter crescentus, the latter has become a topic of several attempts of mathematical …

Multi-Scale Modeling and Sensitivity Analysis in Biological Systems

A Dela - 2021 - search.proquest.com
We develop a multi-method sensitivity framework, which incorporates two variance-based
methods, namely Sobol's method, eFAST and Derivative-based global measures to identify …