“…More recently Fredrickson and Mantzaris (2002) and Fredrickson (2003) expanded the CPB formulation to account for the transitions between the different phases of the cell cycle. The CPB framework has been successfully used to model cell cycle dynamics (Faraday and Kirkby, 1992;Liu et al, 2007), capture cell population heterogeneity (Mantzaris, 2005b;Mantzaris, 2005a), predict and control the dynamics of fermentation processes in batch or continuous bioreactors (Godin et al, 1999;Mantzaris et al, 1999;Zhu et al, 2000;Mantzaris and Daoutidis, 2004;Sharifian and Fanaei, 2009), study aggregation dynamics in suspension cultures (Kolewe et al, 2012), as well as investigate in vitro cell proliferation patterns (Fadda et al, 2012b;Fadda et al, 2012a). The deterministic CPB framework just discussed does not include stochasticity in intracellular reaction occurrence.…”