A novel population balance model to investigate the kinetics of in vitro cell proliferation: Part II. numerical solution, parameters' determination, and model outcomes

2011 ◽  
Vol 109 (3) ◽  
pp. 782-796 ◽  
Author(s):  
Sarah Fadda ◽  
Alberto Cincotti ◽  
Giacomo Cao
Keyword(s):  
Cell Proliferation ◽  
Numerical Solution ◽  
Population Balance ◽  
Balance Model ◽  
Population Balance Model ◽  
Solution Parameters ◽  
Kinetics Of

Application of a population balance model to a perfusion in vitro toxicity system

2006 ◽  
Vol 20 (7) ◽  
pp. 1213-1224 ◽  
Author(s):  
Th. Abberger ◽  
P. Jennings ◽  
A. Mirlach ◽  
S. Prajczer ◽  
W. Pfaller
Keyword(s):  
Population Balance ◽  
Balance Model ◽  
Population Balance Model ◽  
In Vitro Toxicity

A comprehensive mathematical analysis of a novel multistage population balance model for cell proliferation

2016 ◽  
Vol 91 ◽  
pp. 157-166 ◽  
Author(s):  
Margaritis Kostoglou ◽  
María Fuentes-Garí ◽  
David García-Münzer ◽  
Michael C. Georgiadis ◽  
Nicki Panoskaltsis ◽  
...  
Keyword(s):  
Cell Proliferation ◽  
Mathematical Analysis ◽  
Population Balance ◽  
Balance Model ◽  
Population Balance Model

scholarly journals Comparison of numerical solution strategies for population balance model of continuous cone mill

2019 ◽  
Vol 345 ◽  
pp. 739-749
Author(s):  
Satyajeet S. Bhonsale ◽  
Dries Telen ◽  
Bard Stokbroekx ◽  
Jan Van Impe
Keyword(s):  
Numerical Solution ◽  
Population Balance ◽  
Balance Model ◽  
Population Balance Model ◽  
Solution Strategies

scholarly journals Study on the regional characteristics during foam flooding by population balance model

2020 ◽  
pp. 014459872098361
Author(s):  
Zhongbao Wu ◽  
Qingjun Du ◽  
Bei Wei ◽  
Jian Hou
Keyword(s):  
Numerical Simulation ◽  
Simulation Model ◽  
Oil Recovery ◽  
Population Balance ◽  
Growth Zone ◽  
Balance Model ◽  
Population Balance Model ◽  
Liquid Ratio ◽  
One Dimensional ◽  
Foam Flooding

Foam flooding is an effective method for enhancing oil recovery in high water-cut reservoirs and unconventional reservoirs. It is a dynamic process that includes foam generation and coalescence when foam flows through porous media. In this study, a foam flooding simulation model was established based on the population balance model. The stabilizing effect of the polymer and the coalescence characteristics when foam encounters oil were considered. The numerical simulation model was fitted and verified through a one-dimensional displacement experiment. The pressure difference across the sand pack in single foam flooding and polymer-enhanced foam flooding both agree well with the simulation results. Based on the numerical simulation, the foam distribution characteristics in different cases were studied. The results show that there are three zones during foam flooding: the foam growth zone, stable zone, and decay zone. These characteristics are mainly influenced by the adsorption of surfactant, the gas–liquid ratio, the injection rate, and the injection scheme. The oil recovery of polymer-enhanced foam flooding is estimated to be 5.85% more than that of single foam flooding. Moreover, the growth zone and decay zone in three dimensions are considerably wider than in the one-dimensional model. In addition, the slug volume influences the oil recovery the most in the foam enhanced foam flooding, followed by the oil viscosity and gas-liquid ratio. The established model can describe the dynamic change process of foam, and can thus track the foam distribution underground and aid in optimization of the injection strategies during foam flooding.

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