TY - JOUR T1 - Sensitivity analysis of Wnt <em>β</em>-catenin 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/2015/04/19/015834.abstract N2 - Sensitivity analysis plays a crucial role in observing the behaviour of output of a variable given variations in the input. Recently, it has been found that some factors of the Wnt signaling pathway show a natural behaviour that can often be characterized by psychophysical laws. In colorectal cancer, β-catenin based transcription complex (TRCMPLX) plays a major role in driving the Wnt signaling pathway. In this manuscript, the deviation in the predictive behaviour of TRCMPLX conditional on the evidences of regulated 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 deviation in predictive behaviour of TRCMPLX conditional on gene evidences follows power-logarithmic psychophysical law crudely, implying deviations in output are proportional to increasing function of deviations in input and showing constancy for higher values of input. As a second observation, this points towards stability in the behaviour of TRCMPLX and is reflected in the preserved gene gene interactions of the Wnt pathway inferred from conditional probabilities of individual gene activation given the status of another gene activation derived using biologically inspired Bayesian Network. Finally, as a third observation, based on the sensitivity analysis it was found that the psychophysical laws are prevalent among the gene-gene interaction network also.Insight, Innovation and Integration Let a sensation magnitude γ be determined by a stimulus magnitude β. The Weber’s laws states that Δγ remains constant when the relative stimulus increment remains constant. It has been found that this law is actually a derivation of Bernoulli’s law were . Recently, such psychophysical laws have been observed in the behaviour of certain intra/extracellular factors working in the Wnt pathway and this manuscript tests the veracity of the prevalence of such laws, albiet at a coarse level, using sensitivity analysis on biologically inspired computational causal models. Sensitivity analysis observations reveal such natural behaviours in the signaling pathway at systems biology level. ER -