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Noise in cellular circuitry -Noise may be essential for many cellular processes -Phenotypic variations in populations of cell is conjectured to be related to noise (fluctuation) in gene expression. -How do we quantify noise, and how do we identify the mechanisms by which it is generated? Elowitz, MB, Levine, AJ, Siggia, ED, and Swain, PS. Stochastic gene expression in a single cell. Science (2002), 297:1183-1186. Quantifying gene expression: using GFP Use a reporter gene whose product can be quantified: Green Fluorescence Protein DNA GFP Quantifying gene expression: effects of the environment A) In the presence of the repressor LacI: Glucose X X* LacI No transcription X* DNA GFP B) When the repressor LacI is inhibited X GFP GFP X* Lactose or IPTG transcription GFP Two mechanisms for noise in gene expression Intrinsic noise: inherent noise in the expression of the gene that comes from random events that govern the chemical reactions related to the process; hint Extrinsic noise: Fluctuations in the amounts of other cellular components that affect gene expression (concentrations, states and locations of molecules such as transcription factors and/or polymerases); hext The total noise htot is the combination of these two mechanisms. It can be shown that: hext2+hint2=htot2 (Swain, PS, Elowitz, MB, and Siggia, ED. Intrinsic and extrinsic contributions to stochasticity in gene expression. Proc. Natl. Acad. Sci. (USA), 99, 12795-12800 (2002). Intrinsic and extrinsic noise can be measured and distinguished with 2 genes A: in the absence of intrinsic noise, expression of the two genes are correlated; cells have the same color B. In the presence of intrinsic noise, gene expression becomes uncorrelated; changes in color The construction to quantify noise YFP Quantifying noise With c(i) and y(i) the average CFP and YFP intensity of the i-th cell, respectively, and <> denotes means over the cell population.