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A population balance model for fish population dynamics
Journal of Theoretical Biology, 1979Abstract A population balance model of fish population dynamics for batch systems was developed. A growth rate expression was introduced and coupled with the population balance. Solutions of the model provide predictions of such fish size distribution characteristics as average size, standard deviation and coefficient of variation.
R W, Thompson, D A, Cauley
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Population Balance Modeling of Antibodies Aggregation Kinetics
The Journal of Physical Chemistry B, 2012The aggregates morphology and the aggregation kinetics of a model monoclonal antibody under acidic conditions have been investigated. Growth occurs via irreversible cluster-cluster coagulation forming compact, fractal aggregates with fractal dimension of 2.6.
P. Arosio +3 more
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Population balance models of autonomous microbial oscillations
Journal of Biotechnology, 1995Autonomous oscillations in continuous microbial cultures is well documented for the case of baker's yeast, Saccharomyces cerevisiae, for which it has been observed under a range of operating conditions. We have found that autonomous microbial oscillations can be modeled by unstructured population balance models in which a key cell cycle parameter is a ...
M A, Hjortso, J, Nielsen
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Considerations on the crystallization modeling: Population balance solution
Computers & Chemical Engineering, 2007In crystallization processes, the need to improve the product quality and to minimize production cost requires understanding and optimization on how to obtain an appropriate particle-size distribution. In order to achieve this goal, a model of the process is necessary and the distribution of particles must be represented, which is made through the ...
Caliane Bastos Borba Costa +2 more
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Approximate ODE models for population balance systems
Computers & Chemical Engineering, 2015Abstract We propose an approximate polynomial method of moments for a class of first-order linear PDEs (partial differential equations) of hyperbolic type, involving a filtering term with applications to population balance systems with fines removal terms.
Naim Bajçinca +3 more
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Discrete bivariate population balance modelling of heteroaggregation processes
Journal of Colloid and Interface Science, 2009Heteroaggregation in binary particle mixtures was simulated with a discrete population balance model in terms of two internal coordinates describing the particle properties. The considered particle species are of different size and zeta-potential. Property space is reduced with a semi-heuristic approach to enable an efficient solution.
Rollié, S. +2 more
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Modelling shear-flocculation by population balances
Chemical Engineering Science, 1987Abstract A discretized population-balance approach based on a coalescence model is presented in this paper. The population-balance equation was tested for its validity by applying it to two special cases: constant collision-rate function and orthokinetic aggregation of monosized particles.
P.T.L. Koh +2 more
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Polydispersity and the Population Balance Model
2016In this chapter, an introduction to the concept of polydispersity in multiphase systems and the numerical solution of coupled computational fluid dynamics (CFD) and population balance equation (PBE) using CFD computer codes are presented. PBE is a balance equation based on the number density function and accounts for the spatial and temporal evolutions
Hamid Arastoopour +2 more
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Population balance modeling. Promise for the future
Chemical Engineering Science, 2002Population balance modeling has received an unprecedented amount of attention during the past few years from both academic and industrial quarters because of its applicability to a wide variety of particulate processes. In this article, a fresh look is taken of the basic issues of the application of population balances towards strengthening the ...
Doraiswami Ramkrishna, Alan W Mahoney
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Parameter Estimation in Population Balance Models
AIP Conference Proceedings, 2010The aim of this manuscript is to elucidate some models focusing on the dynamics of cell populations in vitro and to bring them in line with methods established in the context of inverse problems.We concentrate on a population balance model that describes the cell number as a function of time and single cell mass, where the key variable fulfills a ...
Andreas Groh +3 more
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