Bi 1x Spring 2014: LacI Titration

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1 Bi 1x Spring 2014: LacI Titration 1 Overview In this experiment, you will measure the effect of various mutated LacI repressor ribosome binding sites in an E. coli cell by measuring the expression of a yellow fluorescent protein. Using your skills of high-magnification phase and fluorescent microscopy coupled with some image processing tools, you will be able to measure the average protein copy number per cell! 2 Background In this section, we will cover the basics of gene regulation as well as a more detailed explanation of our experimental system. 2.1 Genetic Regulation What makes a human eye cell different from a skin cell? Both have the same set of genes, but clearly, they differ substantially in both structure and function. The reason, in part, is that although both cells share the same genes, they have different profiles of gene expression. If you think back to our lecture of genetics, we talked much about how genes are inherited across the biological scales and how we can identify the genotype of an organism by making observations of its phenotype, but we did not discuss in much detail how the genes were translated into an observable phenotype. The question of how gene expression is regulated is a major area of inquiry in contepmorary biology, both because of its importance to biological function, and because of the richness and diversity of gene regulation strategies that can be found in nature. Gene regulation occurs at all steps along the central dogma, from methylation of genomic DNA (known as epigenetics) to the chemical modifications made to proteins after translation that modulate its function or localization. In this final module, we will explore regulation of transcription using the LacI repressor molecule. Transcriptional regulation in prokaryotes is largely mediated by proteins that bind to DNA, called transcription factors (TFs). Most TFs bind specifically to a particluar DNA sequence known as an operator. For instance, the lac repressor protein binds srongly to the sequence AATTGTGAGCGCTCACAATT (refered to as O id ). TFs can be broadly categorized as either activators or repressors. Activators, as you can imagine, activate gene transcription by exhibiting favorable energetic interactions with the transcription machinery, such as RNA polymerase (). When an actiavor is bound near an binding site (known as a promoter ), it increases the rate of transcription by recruiting to its binding site. Repressors are proteins which inhibit gene transcription, usually by making the binding site less accessible. Many genes exhibit multiple TF binding sites surrounding the promoter region can quickly become quite complex, leading to exquisite control of when the gene is expressed. Often, the timing and abundnace of a protein can mean life or death for the cell. 2.2 The Lac Operon As we discussed in our lecture on genetics, the Lac operon is the canonical example of genetic regulation at the transcriptional level. In the perfect world of an E. coli cell, glucose is plentiful, antibiotic is absent, and there are no pesky Bi 1x students around to squish them onto agar pads 1

2 and blast them with high-intensity light. One can imagine that if glucose is present, there is no need to waste energy into building the machinery required to digest other carbon sources, such as lactose. However, if there is no glucose present yet lactose is plentiful, it would be in the organisms best interest to turn on expression of genes to help metabolize lactose. The Lac operon is sensitive to both concentration of glucose and lactose and initiates expression of the lactose metabolism genes (LacZ, LacY, and LacA) in the appropriate conditions. The general architecture of the lac operon is shown in Fig. 1. Lactose Absent No transcription LacI Promoter Operator LacZ, LacY, LacA Lactose Present Active transcription LacI mrna Promoter Operator LacZ, LacY, LacA Figure 1: The Lac operon. In absence of lactose, the repressor molecule LacI is bound to the operator, preventing transcription. In the presence of lactose, LacI is released from the DNA and transcription can proceed. The level of repression of the Lac operon is dependent on the number of LacI molecules present. If, for example, LacI were deleted from an E. coli cell, the LacZYA genes would be constitutively expressed. In our experiment, we will not measure the amount of LacZYA produced, but rather the abundance of yellow fluorescent protein (YFP). Prior to the lab, we have inserted a gene encoding YFP with the Lac operator O 2 (Fig. 2. Figure 2: Our experimental system. The YFP gene with the Lac repression promoter architecture has been inserted into the chromosome of E. coli (indicated by the elipses). In our system, we will not be directly measuring the presence of LacI. Rather, we will be measuring its effect on YFP expression. Intuitively, one would expect that the higher the concentration of LacI in the cell, the lower the level of gene expression one would obesreve. We can codify this intuition 2

3 mathematical by defining a quantity called the repression, where Repression = = Gene expression in the absence of repressor Gene expression in the presence of repressor YFP fluorescence in the absence of repressor YFP fluorescence in the presence of repressor (1) In other words, the repression tells us how many times less (or fold change ) a gene is expressed with LacI present than it would be if LacI were not present. Using the tools of statistical physics as discussed in lecture prior to the lab, we can take the next step and compute how this quantity depends on the physical parameters of our system: Repression = 1 + R N NS e ɛ rd/k B T, (2) where R is the number of repressor molecules, N NS is the number of nonspecific binding sites for the LacI repressor, ɛ rd is the energetic differece between the bound and unbound states of the LacI repressor, and k B T is the thermal energy. When testing a theoretical model, it is useful to have an experiment that allows you to independently tune the parameters of your model. In this experiment, you will test this model by tuning R. You will do this by using a set of E. coli strains that have been genetically engineered to express varying amounts of LacI. However, we won t tell you in advance what LacI copy number is for each strain; instead, you will use equation 3 to compute R for each of your experimental strains as part of your assignment. 3 Protocol Your kind and skilled TAs have prepared your samples ahead of time. Each group will be given a glass bottom dish with five E. coli-containing agarose pads. The pads will be laid out as follows: Figure 3: Agarose pad arrangement prepared before class The identity of each pad is as follows: 3

4 HG104::NoFluo - This strain has wild type levels of LacI, but does not have the YFP reporter. Therefore, it will only display autofluorescence. HG105::O2 - This strain produces no laci and will become the numerator of your repression measurement (see equation 1). Mystery strain I Mystery strain II Mystery strain III For each pad, you should take images at four to five different positions each containing five to ten cells for each field of view. Since you will be segmenting your images, be weary of cellular clumps in your field of view. Large numbers of clumped-together cells will make segmentation difficult if not impossible.. At each position you should take a phase contrast image as well as a FITC fluorescene image. Since you will be comparing different images, it is absolutely essential that each image is taken with the same exposure setting. To determine the appropriate exposure time, pick a field of cells on the HG105::O2 pad and test a range of exposure time ranging from 100 ms to several seconds. Do not use this position in your data set (why?). An appropriate exposure time will use 1/2 to 2/3 of the dynamic range of your camera (indicated by the curves in your settings window in Micro-Manager). Use the Multi-D acquisition window to take each image individually and save them in the appropriate folder. Your data sets will be uploaded the the course website. 4 Assignment Problem 0 (Summary). Write a brief summary of the experimental objectives, observations, and conclusions between one paragraph and one page in length. Problem 1 (Modalities of gene expression). From your understanding of gene expression, speculate on when we might expect a gene to only be activated? How about to only be repressed? Can you think of any case in which it would be advantageous for a gene to have little to no regulation? There is no right or wrong answer to this question. It is meant to get you thinking about regulation of gene expression as it relates to an organism s activities and struggles. Problem 2 (Example of your image overlay). For a phase fluorescent image of your choice, please show the following: 1. The original phase image. 2. The mask generated by your segmentation procedure. 3. An overlay of the original phase image and your final segementation mask. 4. An overlay of your final segmentation mask and the fluorescence image (in color). Be sure to include which pad your image came from as well as the code used for the processing. If 4

5 you do not have access to a color printer, print your color image in black and white, and Griffin your color image. Problem 3 (Calculating the number of LacI repressors per cell.). a) Using the HG104::NoFluo strain (Pad 1), compute and report the mean autofluorescence pixel value. b) For each of the other four strains, calculate the autofluorescence-corrected integrated fluorescence intensity of each detected cell. c) For each of the three experimental strains, compute the repression as defined by equation (1). I.e., compute Repression = = Gene expression in the absence of repressor Gene expression in the presence of repressor YFP fluorescence in the absence of repressor YFP fluorescence in the presence of repressor. (3) Here, the notation x refers to the value of x averaged over your samples. d) In lecture, we covered the basis of the statistical mechanical expression for repression defined by Repression = 1 + R N NS e ɛ rd/k B T, in which N NS is the number of possible nonspecific binding sites for LacI is is approximated by the length of the E. coli genome, base pairs. Why is this a good estimate? ɛ rd is the energetic difference of LacI bound to the operator versus unbound and is approximately 14.3k B T (Garcia and Phillips, PNAS, 2011). Calculate the number of repressors per cell, R, for each strain. Problem 4 (Cell-to-cell variability in gene expression). As you probably noticed while taking your images, not all E. coli cells on the same pad exhibit the same level of fluorescence (hence the average pixel intensities). This cell-to-cell variability in gene expression is known as the noise or variability in expression. A common measure of noise is the variance in gene expression normalized by the mean, or Fano factor. Mathematically, this translates to variance(gene Expression) Fano factor = mean(gene Expression) Compute the noise strength for each of your three experimental strains as well as for HG105. Make a scatter plot fo noise strength versus mean gene expression for each data point. Does the noise strength increase or decrease with increased gene expression? Problem 5 (Data and code). Attach all code, data, and sample images not specifically asked for in the other problems. 5

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