Multilevel Discrete Modelling of Microbial Cell Cultures using Population Balances

M Attarakih, HJ Bart, K Rawajfeh - Computer Aided Chemical Engineering, 2023 - Elsevier
cell population balance models are used because of culture heterogeneity due to complex
intercellular phenomena governed by cellmethod, and the Lax-Wendroff finite difference

[PDF][PDF] Numerical solution of population balance equations with the maximum entropy method of moments.

A Zisimos - 2021 - dspace.lib.ntua.gr
Numerical methods, including the finite differences method, the … the solution of the population
balance equations using the maximum entropy method of moments. The maximum entropy …

Approximate moment methods for population balance equations in particulate and bioengineering processes

R Dürr, A Bück - Processes, 2020 - mdpi.com
… The MoMIC was initially developed for efficient numerical solution of Brownian coagulation
models [76]. Here, the corresponding PBE with discrete valued property space is reduced to …

Modeling heterogeneity in a cell culture using a coupled population balance-oxidative stress model

M Vitelli, IM Tamer, M Pritzker, H Budman - Biochemical Engineering …, 2024 - Elsevier
… by finite difference methods. Consequently, we propose to solve the system of equations by
the method … Two novel aspects of the numerical solution of this coupled population balance – …

Finite volume approximation of multidimensional aggregation population balance equation on triangular grid

M Singh, R Singh, S Singh, G Singh… - … and Computers in …, 2020 - Elsevier
… like finite difference methods and finite element methods merely focused on predicting the
number … of the numerical solution of the numerical methods. This motivates us to develop a …

Population balance modeling of volume and time dependent spray fluidized bed aggregation kernel using Monte Carlo simulation results

A Das, J Kumar - Applied Mathematical Modelling, 2021 - Elsevier
… is to model the aggregation kinetics of the SFBG process by means of population balance
modeling (… The population balance equation (PBE) can be used to track the changes in particle …

[HTML][HTML] Solution techniques for population balance equation: A case study for asphaltene aggregation

S Mohebi, M Bahrami - Egyptian Journal of Petroleum, 2022 - Elsevier
… accuracy of numerical solution in discretization approach is highly affected by cells number
[… evaluation of three different techniques of tackling population balance equation, namely: …

Model-based investigation of population heterogeneity induced variations in process performance

DT Doan - 2023 - mediatum.ub.tum.de
… a population balance equation, a second segregated model framework was proposed, which
is a Euler-Lagrange compartment approach, … In case of a multi-variable PBE, where each …

An integrative phenotype-structured partial differential equation model for the population dynamics of epithelial-mesenchymal transition

J Guilberteau, P Jain, MK Jolly, NP Duteil… - arXiv preprint arXiv …, 2023 - arxiv.org
… First, we show that the Cell Population Balance model can capture the previously reported
… it is proved that solutions are properly approximated by the proposed numerical method. …

Lyapunov Design Controllers for Different Moments of Structured Cell Population Balance Model With Input Constraints

A Binid, B Abouzaid, N Beniich - 2022 11th International …, 2022 - ieeexplore.ieee.org
… A nonlinear controllers was designed by using an age structured cell population balance
model in [5], … Srienc, “Numerical solution of multivariable cell population balance models: I. …