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Problem_Set_03_Solutions

Course: BIO SCI mcb 121, Spring 2012
School: UC Davis
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Word Count: 1021

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121 MCB Spring 2011 Problem Set 3 Problems 1-4 You are studying galactose metabolism in a new species of yeast. You have purified a novel protein important for galactose metabolism and have called it Gal400p. You have raised antibodies (Ab) against this protein and have carried out a Western blot experiment, where you have probed for the presence of this protein in cell extracts prepared from cells grown under...

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121 MCB Spring 2011 Problem Set 3 Problems 1-4 You are studying galactose metabolism in a new species of yeast. You have purified a novel protein important for galactose metabolism and have called it Gal400p. You have raised antibodies (Ab) against this protein and have carried out a Western blot experiment, where you have probed for the presence of this protein in cell extracts prepared from cells grown under different carbon sources (as indicated in the figure). Here is the data: In an independent set of experiments, you have cloned what you believe to be the GAL400 gene by complementing the gal minus phenotype of a gal400 mutant with a plasmid from a genomic DNA library that contains a fragment of DNA prepared from a wild type strain of this yeast species. Below is a restriction map of this fragment of DNA that shows the location of several unique restriction sites (evenly spaced every 500 bp). Also shown on this map is the location of a large open reading frame (Gene X) that you believe is likely to correspond to the GAL400 gene. 1 In a final set of experiments, you have carried out a Northern blot experiment to gain insight into the structure of the GAL400 mRNA as well as the nature of the regulation of the GAL400 gene. In this experiment, total mRNA was prepared from cells grown in the presence of either glucose or galactose, as indicated. Radioactive DNA probes were prepared using specific fragments of DNA prepared from by digestion of the plasmid with specific restriction enzymes, also as indicated. Below are the results of this experiment, where a dark band shows a positive signal on the Northern blot: One final piece of information: other studies of this species of yeast have shown that all genes lack introns and that all mRNAs contain a 500 nucleotide 3' untranslated region (3' UTR) in the mRNA that follows each open reading frame (ORF). With all of this information at hand, answer the following questions (starting on the next page) about the gal400 mutant, the GAL400 gene, as well as the mRNA and protein encoded by this gene. 2 1. Explain how the size of the protein that is recognized by the anti-Gal400p antibody and the size of the predicted ORF in the DNA fragment are consistent with your conclusion that the gene encoded in the DNA fragment is actually GAL400. Answer: The protein recognized by the antibody is 500 amino acids in length. This corresponds well to a 1.5 kb ORF sequence (1500 nucs 3 nucs/amino acid codon = 500 amino acids) 2. Given the results of both the Western and the Northern blots, what can you conclude about the nature of GAL400 gene regulation? In other words, under what carbon-source conditions is the Gal400p protein expressed? Do you think this regulation is likely to be at the step of RNA transcription or at the step of protein synthesis. Answer: The Gal400p protein is specifically expressed in the presence of galactose. This regulation is most likely to occur at the level of transcription since the results of the Northernblot indicate the that mRNA is present in samples prepared from cells grown in galactose but not in samples grown in glucose. Of course, there are other possibilities that we will learn about later in the quarter. For example the mRNA could be produced under both growth conditions but selectively degraded during growth in glucose. This is an example of what is termed "post-transcriptional regulation". 3. Given the results of the Northern blot experiment indicate on the DNA map below where the following features are encoded for the GAL400 gene: (1) The approximate locations of the translational start site (ATG codon), (2) the translational termination site (let us say that for this gene it is TAA), (3) the location of the 500 bp 3' UTR. 4. You and a friend are a hard working biochemists and have discovered a protein, which you call "Nodoze", that is expressed in the brains of former A+ students of MCB 121 (we won't go into the details of how you isolated this protein..). You decide that this would be a great product to market to other students, but that it would be much easier to express this protein in E. coli 3 using recombinant DNA technology, rather than continue your difficult biochemical preparation using native material. You have been able to obtain the sequence of two small peptide fragments of Nodoze: Sequence 1: Trp-Cys-Met-Trp-His Sequence 2: Met-Trp-Tyr-Gln-Trp a) Further experiments indicate that one of these sequences is likely to correspond to the extreme N-terminus of the protein while the other is likely to correspond to the extreme C-terminus of the protein. Which peptide is likely to be the N-terminal sequence? Sequence 2 as it has a methionine at the N-terminus b) You decide that you will take a PCR-based approach to clone the Nodoze gene. Your idea is to amplify the gene using human DNA and degenerate oligonucleotide primers. Your partner has used the peptide sequences and the genetic code to design four possible primers to use in PCR reactions. For each primer listed, nucleotides in parentheses mean that there is an equal mixture of those bases at that position in the primer; the total length of any given primer is 15 nucleotides. Primer 1: Primer 2: Primer 3: Primer 4: 5'-CCA(T/C)TG(G/A)TACCACAT-3' 5'-TGGTG(T/C)ATGTGGCA(T/C)-3' 5'-ATGTGGTA(T/C)CA(A/GTGG-3' 5-(G/A)TGCCACAT(G/A)CACCA-3' Which set of primers has the best chance of amplifying your gene? Primer 3 + Primer 4 c) What source of human DNA is the best to use as a template with your primers in this PCR reaction, genomic DNA or cDNA? Why? cDNA would be best. Because of the likely presence of large introns in human genes, it would be unlikely that you would be able to PCR amplify the entire coding region if you used genomic DNA as a template. d) Amino acid analysis of your protein sample indicates that Nodoze is 300 amino acids in length. How many base pairs do you expect the product of your PCR reaction to be? 300 amino acids x 3 basepairs/amino acid codon = 900 base pairs 4
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UC Davis - BIO SCI - mcb 121
MCB 121 Spring 2011: Study Problem Set 4 Here is the genetic code to use for this problem set:11. Before the triplet nature of the genetic code was established, it was proposed that message RNA might be read in overlapping triplets. For example, the seq
UC Davis - BIO SCI - mcb 121
MCB 121 Spring 2011: Study Problem Set 4 Here is the genetic code to use for this problem set:11. Before the triplet nature of the genetic code was established, it was proposed that message RNA might be read in overlapping triplets. For example, the seq
UC Davis - BIO SCI - mcb 121
MCB 121 2011 Dr. Ted Powers Supplement to Problem Set 4Puromycin and the Classical Model for Translational elongation1Classical Model for Translational ElongationKey features:transfer of P site amino acid to A site translocation of tRNAs on both subu
UC Davis - BIO SCI - mcb 121
MCB 121 Spring 2011: Problem Set 5 1. Over the years, a comprehensive set of temperature sensitive mutants involved in DNA replication in E. coli has been isolated and studied, defining the dna genes. These mutants can be divided into two classes, based o
UC Davis - BIO SCI - mcb 121
MCB 121 Spring 2011: Problem Set 5 Solutions 1. Over the years, a comprehensive set of temperature sensitive mutants involved in DNA replication in E. coli has been isolated and studied, defining the dna genes. These mutants can be divided into two classe
UC Davis - BIO SCI - mcb 121
MCB 121 Spring 2011: Problem Set 6 Solutions 1a. Consider the topology of a 10 kb (10,000 base pairs) circular plasmid, named pBR600, that resides inside of a bacterial cell. This plasmid normally displays 5 negative superhelical turns (i.e., supercoiling
UC Davis - BIO SCI - mcb 121
MCB 121 Spring 2011: Problem Set 7 Solutions 1. What evidence can you point to that suggests a common origin for the evolution of transcription between prokaryotes and eukaryotes? Answer: Some of the subunits in RNA polymerase II from eukaryotes are homol
UC Davis - BIO SCI - mcb 121
MCB 121 Spring 2011: Problem Set 8 Solutions 1. Which of the following describes a complete nucleosome as it exists in a mammalian cell nucleus? a. 2(H2A), 2(H2B), 1(H3), 1(H4), ~146 base pairs of DNA b. 2(H2A), 2(H2B), 2(H3), 2(H4), ~200 base pairs of DN
UC Davis - BIO SCI - mcb 121
MCB 121 2011 Sample Quiz I Questions Refer to the Genetic Code when necessary:1I) (Questions 1-4) Consider the following (simplified) pathways for head and tail formation for bacteriophage T4:One new temperature sensitive mutant (Gene X) of T4 has been
UC Davis - BIO SCI - mcb 121
George Mason - MATH - 214
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UC Davis - BIO SCI - mcb 121
MCB 121 2011 Sample Quiz II QuestionsWobble Pairing: 5' Base of tRNA anticodon U G I 3' Base of codon G U C, U, A11) Below is a schematic drawing of a human mRNA, showing potential for base-pairing interactions in the 5' UTR between three sequence elem
George Mason - MATH - 214
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UC Davis - BIO SCI - mcb 121
George Mason - MATH - 214
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UC Davis - BIO SCI - mcb 121
MCB 121 Spring 2011: Sample Quiz 3 I) (Problems 1-4) 1) Tetrahymena telomerase RNA (TER) provides a template that produces the following sequence for the G-rich strand of the telomere: 5'-TTGGGG-3'. The template portion of TER that encodes this sequence i
George Mason - MATH - 214
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UC Davis - BIO SCI - mcb 121
George Mason - MATH - 214
f/f ofit,+,Leafu-oEx.I (at= xJ(/ - l+2A(cfw_,Lt(n =oGlt,*(*+Llrt-= t.lt)=o=Iir _ (cfw__/) =o,U,Ji fr.i,;o,l:h*?bard,ta-h'L(orr-t /+I:o('*At f c =o^lx,lHr, h c/'u<e do=cfw_t,)9 F,'na/=2N'-l2&a^"1 gah's fu,n-/*,fThTl2,-lx-,f
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George Mason - MATH - 214
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George Mason - MATH - 214
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l'la;t 2/(.Leocfw_u.e' I aaa+.c\ead orrattl9a raiin gurtte9\ocfw_"*6a'*'ts-oqftr) >o'l" = f (t,fia')YaY-r.f| ?' fbl=orqaI-aPus=o.tfte*e is gtt (aa.*a - 2)th*o ts-+ hL fe44.,fru qtaitctt ,J Ct-tt*"l e*nltfiLas-)2 tn; hal4=+ lfu
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George Mason - MATH - 214
llon p tq.*-*'-ILe or\^-. /e6r'*r/ = O e Zad a4dr4 L'r,to,t ar",lt coe+/s6+ar"+t^t2 tr2-; c =Q * oAana&o>ish'c ghOil" +, PaAISt)h*rz tea!=)I =('ent *Czerzt4 rr=?z74 ?= 2- if - c^ t^. r hd"?' E =?*',' ut+tev)aatTar'+?r+c=oGrrq&^ ra$.
George Mason - MATH - 214
ItMa-r%Le2/+.r*r*e a 3ad" +'00'* ,? = o :)I@=-Ft)h,*h)u,u?,/,".^*2e4ae1d14,t=r?,%:': '/rea[ 4fi'eh'nct-n -tac*I = sr't acz"tJ) ' ! f/) ,-';, = Fa real r7n.t/C:'1n='tr, ert + co.i"r,ur,": r if ca'*/i42Cte'r nft + C'e?'s'e7tl4
George Mason - MATH - 214
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George Mason - MATH - 214
t-kcfu+eIrlfrd la-ffir.od'"B/'* V =Aft).Lt/atet*;@|r't= Cr e + C, e4t/Aor,t h * tzrea( tubats;nvf= C/(*vt +(>e4, ab*,, t=itt/r Uu<y'e+3)Cu,-, = c,eht + Gterr=4- - rea.l tTeddtr tH = f,/*) +/1"&l :) 4&) = ,!p'Gt + 42,?)If fft),r'qP'fu"
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George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 1Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1): Let f : A B and g : B C be functions. Prove the followingimplications:f and g injective g f injec
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 2Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1): Let G be a group and S G a subset. Show thatC (S ) = cfw_g G : gs = sg for every s S is a subgroup
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 3Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):Show that a subgroup of index two of a group is a normal subgroup.(2):Show that the automorphisms
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 4Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):A group G is called solvable if there is a normal chain, or sequenceG = G0G1Gn = cfw_e,with each
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 5Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):Show that a group G on four elements, |G| = 4 is abelian. Let N4 be thesubset of the symmetric grou
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 6Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):Let G be an abelian group with |G| = pn for some n N where p is a primenumber. Show that G has a co
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 7Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):Let G be a group with |G| = pn m where p is a prime, gcd(p, m) = 1 andp > m 1. Show that G has a un
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 8Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):Let G and H be nite groups of relatively prime orders. Show thatAut(G H ) Aut(G) Aut(H ).=Here Au
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 9Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):Let R = cfw_m + n 2 : m, n Z show that R is a subring of R. Showfurther that R (Z2 , +, ) where Z2
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 10Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):Let R be an integral domain. If a R is a unit and b R, show there isa unique automorphism of R[X ]
George Mason - MATH - 621
MATH 621, Algebra IAssignment sheet 11Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)Homework to be handed in:(1):For a ring R, the least n N such that n = 1 + + 1 (n times) = 0 iscalled the characteristic of R a
George Mason - MATH - 621
MATH 621 Algebra I Lecture NotesGeir AgnarssonApril 19, 201211.1GroupsSome preliminariesThese lecture notes will follow the class text [1] fairly closely. They are, inpart, based on lectures of the graduate algebra class MATH 250A given bythe lat
George Mason - MATH - 621
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George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 1Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1):Let f : A B and g : B C be functions.(i) Assume that both f and g are injective, we show that g f is also
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 2Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1): Let G be a group and S G a subset. Clearly C (S ) G, so to showthat C (S ) = cfw_g G : gs = sg for every
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 3Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1): Assume that G is a group with a subgroup H of index two in G, so[G : H ] = 2. Let g G. If g H then clearl
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 4Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1):Assume G is a solvable group, so G has a normal chainG = G0G1Gn = cfw_e,(1)where the quotient Gi /Gi1
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 5Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1):Let G be a group on four elements. For each element a G the cyclicsubgroup a is a subgroup of G, and henc
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 6Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1):Let G be an abelian group with |G| = pn for some n N where p is a primenumber. If n = 1 there is nothing
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 7Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1):Let G be a group with |G| = pn m where p is a prime, gcd(p, m) = 1 andp > m 1. If G has N p-Sylow subgrou
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 8Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1):Let G and H be nite groups of relatively prime orders. We want to showthat Aut(G H ) Aut(G) Aut(H ), wher
George Mason - MATH - 621
MATH 621, Algebra ISelected solutions for HW assignment 9Spring 2012 - George Mason University.Professor: Geir Agnarsson (geir@math.gmu.edu)(1):Using our more recent notation from class we haveR = cfw_m + n 2 : m, n Z = Z[ 2],all polynomial express
George Mason - MATH - 108
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George Mason - MATH - 108
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George Mason - MATH - 108
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George Mason - MATH - 108
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