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DeBoeck2021 - Modular approach to modeling the cell cycle, 5 ODE model with 3 bistable switches


ABSTRACT: Model of the mammalian cell cycle as a chain of bistable switches. There are three bistable responses: response of E2F to Cyclin D, of Cdk1 to Cyclin B and of APC/C to Cdk1 activity. The model for the given parameters admits a complex limit cycle characterized by transitions through the bistable switches. The bistable responses are modeled directly using a functional motif, not through biochemical interactions. This modular approach allows to easily modify the properties of the bistable response curves. This version of the model correspond to Fig. 7 in the publication. We illustrated how, using this model, the system can be coupled to the circadian clock, by periodically modifying thresholds of one of the switches. We also illustrated how to implement the restriction point checkpoint using this model (those applications are not coded in the associated sbml file and can be seen in Fig. 8 of the publication). A related, simpler model that illustrates the bistable motif is MODEL2212060001

SUBMITTER: Jan Rombouts  

PROVIDER: BIOMD0000001080 | BioModels | 2024-01-29

REPOSITORIES: BioModels

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A modular approach for modeling the cell cycle based on functional response curves.

De Boeck Jolan J   Rombouts Jan J   Gelens Lendert L  

PLoS computational biology 20210811 8


Modeling biochemical reactions by means of differential equations often results in systems with a large number of variables and parameters. As this might complicate the interpretation and generalization of the obtained results, it is often desirable to reduce the complexity of the model. One way to accomplish this is by replacing the detailed reaction mechanisms of certain modules in the model by a mathematical expression that qualitatively describes the dynamical behavior of these modules. Such  ...[more]

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