K response, active Raf lasts longer so that dephosphorylated MEKP and MEKPP have a higher chance to be re-activated, which will eventually produce a prolonged signal for ERK activation. Taken together, the association of both active Ras and Raf are crucial for controlling the response of ERK in the MAPK signaling cascade. Furthermore, reactions related to kinases and phophatases for both MEK and ERK are also shown to be important for distinguishing between transient or prolonged ERK activation as a consequence of EGF stimulation. To examine the impact of specific pathway modules on differential ERK activities, we divided the entire EGFR pathway into three modules and only perturbed parameters that were involved in a particular subsystem. 
The results follow in 11741928 the next section. Intermediate module 22761436 reactions related to Ras and Raf are the most sensitive steps controlling the differential ERK response For the first top-level module spanning from reaction step 1 to 8, we perturbed seven forward kinetic parameters and three kinetic parameters of reverse reactions while fixing the other parameters at their nominal values. In examining the differentiating pathway parameters between the tolerable and intolerable group, parameter k1, i.e. the first reaction rate related to ligand-receptor binding, was found to be the most sensitive one. However, the toplevel module parameter perturbations resulted in only transient responses of ERK activity. This suggests that parametric variations of the top-level module are unlikely to cause significant differences in ERK responses. A similar picture emerges for the third, i.e. MAPK module, where separate perturbation showed no sustained ERK activity pattern either. However, differential responses of ERK activity were observed when the second or intermediate module was perturbed. This result was similar to those obtained with the whole pathway run. Specifically, in the intermediate module, R14, R16, and R18 were the most sensitive reactions, which are all involved in determining the activation level of Ras and Raf. Consequently, these observations indicate that differentiation-reactions in the third module such as R20, R22, and R24R26, which were MAPK Signaling Dynamics Parameter MAPK Signaling Dynamics GSK1363089 cost initial Condition x01 x02 x04 x09 x011 x014 x016 x017 x018 x022 x025 The column of actual test range represents ranges of initial values that are contained in the generated samples. doi:10.1371/journal.pone.0004560.t002 discovered as sensitive reactions in the whole-pathway perturbation, seem to be strongly influenced by the reactions of the intermediate module rather than affecting differential ERK activity patterns on their own. What are the most informative reactions controlling the amplitude of transient ERK responses In parallel to the case of transient vs. sustained ERK profiles, we continually investigated the differentiation-reactions that are instrumental for controlling the amplitude of ERK activity for the transient case. The result clearly shows that R18, i.e. the dephosphorylation of active Raf, is no longer a sensitive reaction for the amplitude-differentiation between the lowtransient and high-transient level. However, R14 and R16, critical steps for Ras deactivation and Raf activation, respectively, remained sensitive factors in determining the amplitude variation. What are the most informative reactions controlling the extent of sustained ERK responses We also searched for sensitive factors fo
