We start from a mathematical model which describes the collective motion of bacteria taking into account the underlying biochemistry. This model was first introduced by Keller-Segel [13]. A new formulation of the system of partial differential equations is obtained by the introduction of a new variable (this new variable is similar to the quasi-Fermi level in the framework of semiconductor mode...

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...

3 Simulation Phase: Three Models for Simulation 9 3.1 3D ChainMail . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2 Mass Spring Models . . . . . . . . . . . . . . . . . . . . . . . 13 3.2.1 Classical Mass Spring Model . . . . . . . . . . . . . . . 13 3.2.2 Fast Tetrahedral Mass Spring Model . . . . . . . . . . 15 3.3 Finite Element Models . . . . . . . . . . . . . . . . . . . . . . 1...