To reduce the influence of nonlinearity, the correlation selleck compound is calculated based upon ranks rather than absolute values.

PRCC between Pj   and Sy,n   was calculated as the correlation coefficient rpjsrpjs between the two residuals pj=Pˆj-P˜j and s=Sˆy,n-S˜y,n, where Pˆj and Sˆy,n are rank transformed Pj   and Sy,n  ; P˜j and S˜y,n are the linear regression models defined as follows ( Marino et al., 2008): P˜j=a0+∑l=1l≠jkalPˆl;S˜y,n=b0+∑l=1l≠jkblPˆlThus rpjs=∑i=1N(pij-p¯)(si-s¯)∑i=1N(pij-p¯)2∑i=1N(si-s¯)2,where N   is the number of Sobol’s points sampled from the model parameter space; p¯ and s¯ are respective sample means. Importantly, the sign of a PRCC indicates how the variation of each parameter affects the output signal: the positive index corresponds to the parameter whose higher value is likely to be associated with a higher value of the model output, and vice versa. The value of PRCC indices are distributed between

– 1 and 1 with 0 indicating an input to which the model output is completely insensitive. Thus, the output from our GSA procedure represents a matrix of PRCC, which contains the quantitative metrics of how the variation of each model parameter is correlated to the value of the integrated model readouts (Sy  ,n  ) of interest. To facilitate the analysis of the matrix, the results are visualised in

the form of colour-coded sensitivity profiles for Thiazovivin nmr individual model readouts Sy  ,n  . For the ErbB2/3 network model we generated the sensitivity profiles for SpAkt   and SpAktPer (see enough Fig. 3). The main goal of targeted anti-cancer treatments is to inhibit particular components within signalling networks in order to suppress signal propagation through the particular branches that have been recognised as implicated in cancer progression. Our GSA methodology has been designed for identification of the network parameters whose variation has the most impact on the value of the key signalling network outputs. Therefore we propose, that it can be used for the prediction of potential drug targets and biomarkers of cancer and drug resistance. Such predictions can be derived from the analysis and comparison of the sensitivity profiles of key model readouts in the absence (Sy  ) and in the presence ( SyInh) of the targeted drugs (inhibitors). In particular, we assume that the Sy   sensitivity profile can be used to identify anti-cancer drug targets and biomarkers of susceptibility to cancer, as it points to the parameters, variation of which is most likely to be associated with the suppression or elevation of cancer-related model outputs Sy  .