Sensitivity Analysis of a Cis-Regulatory Input Function

Stochastic effects of regulatory molecules in low copy numbers per cell in transcription-regulation process have now been recognized as a major. physiologically and evolutionarily important factor in the development and function of many living organisms. The transcription rate of a gene is often controlled by several regulators that bind specific sites in the gene's cis-regulatory region. The combined effect of these regulators is described by 6 cis-regulatory input function(CRIF), which is usually nonlinear. Since the average of a nonlinear function is generally not the same its the function of the average, in addition neither analytical nor numerical solutions of the Chemical Master equation are in general available, we take mass fluctuation kinetics(MFK) in place of mass action kinetics(MAK) to analyze the stochastic effects on sensitivity of cis-regulatory input functions with AND- and OR-logic gate.