In this paper, we establish a nonlinear hybrid dynamical system to describe the batch fermentation of glycerol by K.
pneumoniae, in which three possible transport mechanisms of 1,3-PD are all taken into consideration. A system identification
model is proposed and solved by using a two-phase optimization algorithm. Through numerical calculation, we conclude
that it is most possible for 1,3-PD to pass the cell membrane by passive diffusion coupled with facilitated transport. Besides,
numerical simulation with the identified parameters is carried out, which shows that our algorithm is efficient and feasible.
The current work deals with the problem of modeling and system identification of the hybrid dynamical system in batch
culture. In a future work, we will consider sensitivity analysis of kinetic parameters in our model, so as to reduce the number
of these model parameters to be identified and concentrate on identifying these relatively sensitive parameters. Additionally,
our effort will focus on multistage analysis and optimal control of the hybrid dynamical system.