saccharomyces cerevisiae (baker’s yeast) can exhibit sustained oscillations during the operation in a continuous bioreactor that adversely affects its stability and productivity. because of heterogeneous nature of cell populations, the cell population balance equation (pbe) can be used to capture the dynamic behavior of such cultures. in this work, an unstructured-segregated model is used for d...

Saccharomyces cerevisiae (baker’s yeast) can exhibit sustained oscillations during the operation in a continuous bioreactor that adversely affects its stability and productivity. Because of heterogeneous nature of cell populations, the cell population balance equation (PBE) can be used to capture the dynamic behavior of such cultures. In this work, an unstructured-segregated model is used f...

The observer design problem for a class of cell population balance models, describing the time evolution mass density distribution function and substrate concentration in continuous-stirred tank bioreactor with irregular discrete-time measurements is considered. model consists partial integro-differential equation coupled an ordinary differential equation. Using theory impulsive systems suffici...

Chemotherapeutics are often treated as having a lumped tumor effect, however, the growth state and exposure for individual cancer cells ultimately determines the response of the tumor to treatment. A multi-staged, age structured cell population balance equation (PBE) capable of cell-cycle tracking was formulated to account for this limitation. The method of orthogonal collocation on finite elem...

Population-based Incremental Learning is shown require very sensitive scaling of its learning rate. The learning rate must scale with the system size in a problem-dependent way. This is shown in two problems: the needle-in-a haystack, in which the learning rate must vanish exponentially in the system size, and in a smooth function in which the learning rate must vanish like the square root of t...

In this paper, we develop a population balance model for cell aggregation and adhesion process in a nonuniform shear flow. Some Monte Carlo simulation results based on the model are presented for the heterotypic cell-cell collision and adhesion to a substrate under dynamic shear forces. In particular, we focus on leukocyte (PMN)-melanoma cell emboli formation and subsequent tethering to the vas...