Control of particulate processes: Recent results and future challenges
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The relation between growth phases, cell volume changes and metabolism of adherent cells during cultivation
In biotechnology, mathematical models often consider changes in cell numbers as well as in
metabolite conversion to describe different cell growth phases. It has been frequently …
metabolite conversion to describe different cell growth phases. It has been frequently …
Morphologically-structured models of growing budding yeast populations
It has been well recognized that many key aspects of cell cycle regulation are encoded into
the size distributions of growing budding yeast populations due to the tight coupling …
the size distributions of growing budding yeast populations due to the tight coupling …
[PDF][PDF] Comparison on Trapezoidal and Simpson's Rule for Unequal Data Space
Numerical integration compromises a broad family of algorithm for calculating the numerical
value of a definite integral. Since some of the integration cannot be solved analytically …
value of a definite integral. Since some of the integration cannot be solved analytically …
On the solution of the population balance equation: From global to local constrained maximum entropy method
M Attarakih, HJ Bart, M Abu-Khader - Chemical Engineering Science, 2019 - Elsevier
We propose continuous approximations to the population balance equation based on
maximization of the Shannon entropy subject to the expected properties of the particle size …
maximization of the Shannon entropy subject to the expected properties of the particle size …
Clostridium butyricum population balance model: Predicting dynamic metabolic flux distributions using an objective function related to extracellular glycerol content
LM Serrano-Bermúdez, AF González Barrios… - Plos one, 2018 - journals.plos.org
Background Extensive experimentation has been conducted to increment 1, 3-propanediol
(PDO) production using Clostridium butyricum cultures in glycerol, but computational …
(PDO) production using Clostridium butyricum cultures in glycerol, but computational …
[HTML][HTML] Numerical schemes for a size-structured cell population model with equal fission
LM Abia, O Angulo, JC López-Marcos… - … and Computer Modelling, 2009 - Elsevier
We study numerically the evolution of a size-structured cell population model, with finite
maximum individual size and minimum size for mitosis. We formulate two schemes for the …
maximum individual size and minimum size for mitosis. We formulate two schemes for the …
A population balance model describing the cell cycle dynamics of myeloma cell cultivation
A multi‐staged population balance model is proposed to describe the cell cycle dynamics of
myeloma cell cultivation. In this model, the cell cycle is divided into three stages, ie, G1, S …
myeloma cell cultivation. In this model, the cell cycle is divided into three stages, ie, G1, S …
A comparative study of numerical approximations for solving the smoluchowski coagulation equation
In this work, numerical approximations for solving the one dimensional Smoluchowski
coagulation equation on non-uniform meshes has been analyzed. Among the various …
coagulation equation on non-uniform meshes has been analyzed. Among the various …
Cell population balance, ensemble and continuum modeling frameworks: Conditional equivalence and hybrid approaches
M Stamatakis - Chemical Engineering Science, 2010 - Elsevier
The cell population balance, ensemble and continuum modeling frameworks are widely
used for the mathematical description of microbial populations. Each of these approaches …
used for the mathematical description of microbial populations. Each of these approaches …