A novel quantitative model of cell cycle progression based on cyclin-dependent kinases activity and population balances

Macroscopic modeling of mammalian cell growth and metabolism

“…Macroscopic models are less accurate than structured models, but easier to set up and to apply. Segregated models, as opposite of non-segregated models, describe cellular behavior as a function of cell cycles or age of cells (García Münzer et al 2015a , b ; Karra et al 2010 ; Meshram et al 2013 ; Pisu et al 2015 ). The vast majority of models are non-structured and non-segregated.…”

Mathematical Modelling and Computational Simulation of Mammalian Cell Cycle Progression in Batch Systems

“…Finally, in Equations ( 3), ( 4) and ( 5), the amount of cells which leave G1, S and G2M phase, respectively, is intrinsically taken into account by the advection term on the internal variable ξ when its value attains the upper limit (i.e., 𝜉 = 1). The rate of the irreversible transition G1àG0, 𝛤 ) %$ (𝑣), can be expressed as follows (Fadda et al, 2012a;Pisu et al, 2015):…”

“…The same research group illustrated the capability of the proposed model in the specific case of leukemia chemotherapy treatment (Fuentes-Garì et al, 2015a). Finally, Pisu et al (2015), on the basis of PBM approach (Fadda et al, 2012a(Fadda et al, , 2012bPisu et al, 2003Pisu et al, , 2004Pisu et al, , 2006Pisu et al, and 2008Mancuso et al, 2009 and, and by considering a detailed biochemical network that regulates the cell cycle of mammalian cells Goldbeter (2009 and2012) proposed a novel method to link PBM to cell cycle kinetics. Specifically, the authors developed a multistage PBM involving four subpopulations (i.e., cells distributed over G0, G1, S, G2/M phases) with cell volume and dimensionless age of a cell in each phase as internal variables.…”

“…The rate of transitions between two subsequent phases of the cell cycle are obtained by means of a detailed biochemical model which simulates the series of complex events that take place during the cell growth and its division. With respect to the work by Pisu et al (2015), a more detailed kinetic network, which includes the regulatory action due to the extracellular signaling induced by external GF and ECM and their direct interaction with the cells cycle, is taken into account. The potential of the mathematical model has been tested by considering some specific procedures taking place during in vitro trials and in particular, the effect of seeding conditions and the addition of suitable substances in the culture medium.…”

Possible Anticancer Mechanisms of Some Costus speciosus Active Ingredients Concerning Drug Discovery

“…After which cell reaches the second phase, G2 where proteins and other cellular elements are synthesized. Eventually, the cell enters M phase where it splits into two daughter cells [74]. Cell cycle progression is forcefully regulated by interaction between cyclin-dependent kinases (Cdk1, 2, 4, or 6) and regulatory cyclin subunits (cyclin A, B, Ds, or E).…”