Abstract：
:Computational modeling and the theory of nonlinear dynamical systems allow one to not simply describe the events of the cell cycle, but also to understand why these events occur, just as the theory of gravitation allows one to understand why cannonballs fly in parabolic arcs. The simplest examples of the eukaryotic cell cycle operate like autonomous oscillators. Here, we present the basic theory of oscillatory biochemical circuits in the context of the Xenopus embryonic cell cycle. We examine Boolean models, delay differential equation models, and especially ordinary differential equation (ODE) models. For ODE models, we explore what it takes to get oscillations out of two simple types of circuits (negative feedback loops and coupled positive and negative feedback loops). Finally, we review the procedures of linear stability analysis, which allow one to determine whether a given ODE model and a particular set of kinetic parameters will produce oscillations.
journal_name
Celljournal_title
Cellauthors
Ferrell JE Jr,Tsai TY,Yang Qdoi
10.1016/j.cell.2011.03.006subject
Has Abstractpub_date
2011-03-18 00:00:00pages
874-85issue
6eissn
0092-8674issn
1097-4172pii
S0092-8674(11)00243-1journal_volume
144pub_type
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