Stochastic modeling and simulation of reaction-diffusion system with Hill function dynamics
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 …
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
The cell cycle of Caulobacter crescentus involves the polar morphogenesis and an
asymmetric cell division driven by precise interactions and regulations of proteins, which …
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
The hybrid stochastic simulation algorithm, proposed by Haseltine and Rawlings, can
significantly improve the simulation efficiency for multiscale biochemical networks. However …
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
The crescent-shaped bacterium Caulobacter crescentus divides asymmetrically into a
sessile (stalked) cell and a motile (flagellated) cell. This dimorphic cell division cycle is …
sessile (stalked) cell and a motile (flagellated) cell. This dimorphic cell division cycle is …
Parameter estimation of stochastic models based on limited data
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 …
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 …
stringent environment and reduce intraspecific competition. Caulobacter mother cell gives …
Mathematical modeling of molecular mechanisms governing cell cycle progression in Caulobacter crescentus and differentiation of immune system progenitor cells
BR Weston - 2021 - vtechworks.lib.vt.edu
Mathematical modeling of biological systems can be useful to reveal new insights into
biological observations. Here we apply mathematical modeling to study the underlying …
biological observations. Here we apply mathematical modeling to study the underlying …
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 …
discovered with increasing complexities and unknown mechanisms. With the improvement …