Several Galerkin, Tau and Collocation (pseudospectral) approximations have been
developed for the solution of the multi-variable cell population balance model in its most …

Multi-variable cell population balance models represent the most accurate and general way
of describing the complicated phenomena associated with cell growth, substrate …

We have developed finite element approximations to the generalized multi-variable cell
population balance problem under conditions of changing substrate concentration. We …

Cell population balance models are deterministic formulations which describe the dynamics
of cell growth and take into account the biological fact that cell properties are distributed …

Discretized population balances of aggregating systems are known to consistently over-
predict number densities for the largest particles. This over-prediction has been attributed …

The discretized population balance of Litster et al.(1995) is here reappraised and improved,
resulting in a correction to the previously published version. Results from the new and old …

One way of solving population balance equations in a time efficient way, necessary for using
the model in non-linear parameter estimation, process control or for combination with …

Transient cell population balance models consist of nonlinear partial differential-integro
equations. An accurate discretized approximation typically requires a large number of …

The cell population balance, ensemble and continuum modeling frameworks are widely
used for the mathematical description of microbial populations. Each of these approaches …

In this work we develop, demonstrate, and distribute the code for a new Simulink block that
models the dynamic evolution of the population density function for a physical system which …