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The complex network of biochemical reaction/transport processes and their spatial organization make the development of a predictive model of a living cell a grand challenge for the 21st century.
==Overview==
The eukaryotic [[cell cycle]] is very complex and is one of the most studied topics, since its misregulation leads to [[cancer]]s.
It is possibly a good example of a mathematical model as it deals with simple calculus but gives valid results. Two research groups<ref>{{cite web|url=http://mpf.biol.vt.edu/lab_website/ |title=The JJ Tyson Lab|publisher=[[Virginia Tech]]|date= |accessdate=2011-07-20}}</ref><ref>{{cite web|url=http://www.cellcycle.bme.hu/ |title=The Molecular Network Dynamics Research Group|publisher=[[Budapest University of Technology and Economics]]}}</ref> have produced several models of the cell cycle simulating several organisms. They have recently produced a generic eukaryotic cell cycle model which can represent a particular eukaryote depending on the values of the parameters, demonstrating that the idiosyncrasies of the individual cell cycles are due to different protein concentrations and affinities, while the underlying mechanisms are conserved (Csikasz-Nagy et al., 2006).<br />
By means of a system of [[ordinary differential equation]]s these models show the change in time ([[dynamical system]]) of the protein inside a single typical cell; this type of model is called a [[deterministic system|deterministic process]] (whereas a model describing a statistical distribution of protein concentrations in a population of cells is called a [[stochastic process]]).<br />
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