TY - JOUR T1 - Sensitivity analysis of Wnt <em>β-catenin</em> based transcription complex might bolster power-logarithmic psychophysical law and reveal preserved gene gene interactions JF - bioRxiv DO - 10.1101/015834 SP - 015834 AU - Shriprakash Sinha Y1 - 2015/01/01 UR - http://biorxiv.org/content/early/2015/10/20/015834.abstract N2 - Let a sensation magnitude γ be determined by a stimulus magnitude β. The Webers laws states that Δγ remains constant when the relative stimulus increment Δβ remains constant. It has been found that this law is actually a derivation of Bernoullis law were . Recently, such psychophysical laws have been observed in the natural behaviour of certain intra/extracellular factors working in the Wnt pathway. This manuscript tests the veracity of the prevalence of such laws, albeit at a coarse level, using sensitivity analysis on biologically inspired computational causal models. Sensitivity analysis plays a crucial role in observing the behaviour of output of a variable given variations in the input. In this work, the variation in the effect of the predictive behaviour of the transcription complex (TRCMPLX) conditional on the evidences of gene expressions in normal and tumor samples is observed by varying the initially assigned values of conditional probability tables (cpt) for TRCMPLX. Preliminary analysis shows that the variation in predictive behaviour of TRCMPLX conditional on gene evidences follows power and logarithmic psychophysical law crudely. This implies deviations in output are proportional to increasing function of deviations in input and shows constant behaviour for recorded deviations in higher values of the input. This points towards stability in the behaviour of TRCMPLX and is reflected in the preserved gene-gene interactions. These interactions are obtained by thresholding the inferred conditional probabilities of a gene activation given the status of another gene activation. The deviation in the interactions in normal and tumor samples was also observed by varying the initially assigned values of cpt for β-catenin based TRCMPLX. Analysis of deviation in interactions show prevalence of power-logarithmic psychophysical law. This prevalence is reported for interaction between pairs of (SFRP3, MYC), (SFRP2, CD44) and (DKK1, DACT2). Dynamic models of Bayesian networks might reveal the phenomena in a better way. ER -