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Subsequently we studied how a variation in the significant parameters would affect the behaviour of the pathway when varied one-at-a-time and in pairs of two.
The model was simulated with the parameter values presented in table 2 and was able to describe the oscillatory behaviour of the pathway with a frequency of roughly 2h, in accordance to experimental observations [14].
Herein, we have introduced a mathematical formulation that involves all the significant elements participating in the pathway, facilitating a more holistic description of the dynamic behaviour of the pathway.
The two most important features that have engaged the attention of theoreticians and experimentalists in this area are-a) the role of stochasticity in regulating the precision in the output of such pathways, and b) the effect of regulatory designs in conferring different dynamical behaviour of the pathway constituents.
The model was simulated with the parameter values presented in Table 1 and was able to describe the oscillatory behaviour of the pathway with a frequency of roughly 2.4 h, which is slightly higher that the reported approximately 2 h period in fibroblasts [14].
We then "experiment" on the model by simulation and sensitivity analysis to define those parameters which dominate the dynamic behaviour of the pathway.
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Achieving biological realism here is a formidable task, but could lead to a better understanding of the homeostatic and adaptive behaviours of the pathway.
The model developed herein incorporates all major components of the Notch signalling pathway, as described below, in an effort to study the behaviour of the delta/notch pathway in a single cell in the presence or absence of a delta signal from a neighbouring cell.
Although the Simplified cAMP Model could account for the majority of the behaviour of the cAMP pathway, there were exceptions.
We conclude that the computer model derived from the original narrative is able to capture the dynamic behaviour of the real pathway, demonstrating the validity of the approach.
This complex behaviour of the shikimate pathway in response to various treatments and its regulation by feedback mechanisms has been described [ 80].
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behavior of the pathway
characteristics of the pathway
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