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IMAT Biology · Formula sheet

Molecular Biology and Gene Expression formulas

6 formulas, 16 reference tables and 27 common traps for IMAT Biology Molecular Biology and Gene Expression, grouped by subtopic.

Full notes with worked examples

Nucleotides, the Double Helix and Base Pairing

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Chargaff's rule: base percentages in double-stranded DNA

Chargaff's rule

%A=%T,%G=%C,%A+%G=50%\%A = \%T, \quad \%G = \%C, \quad \%A + \%G = 50\%
  • %A\%Apercentage of all bases that are adenine (and so on for T, G, C)

Counting nucleotides, hydrogen bonds and phosphodiester bonds

Bonds in a linear double-stranded fragment

nH=2 nAT+3 nGC,nPDE=2(N−1)n_{\text{H}} = 2\,n_{AT} + 3\,n_{GC}, \qquad n_{\text{PDE}} = 2(N - 1)
  • nAT,nGCn_{AT}, n_{GC}numbers of A-T and G-C base pairs
  • NNtotal base pairs, N=nAT+nGCN = n_{AT} + n_{GC}
  • nPDEn_{\text{PDE}}phosphodiester bonds in both strands together

Nucleotides: the building blocks of DNA and RNA

PartIn DNAIn RNA
Sugardeoxyribose (no -OH on carbon 2′)ribose (-OH on carbon 2′)
Purine bases (two rings)adenine, guanineadenine, guanine
Pyrimidine bases (one ring)cytosine, thyminecytosine, uracil
Phosphateone per nucleotideone per nucleotide
Number of strandsusually two, as a double helixusually one, which can fold back on itself
Thymine is found only in DNA and uracil only in RNA. Everything else in the first four rows is shared.

The DNA double helix: backbone outside, paired bases inside

FeatureFact
Outside of the helixthe sugar-phosphate backbones, with negatively charged phosphates
Inside of the helixthe bases, stacked on each other and paired across the strands
A-T pair2 hydrogen bonds
G-C pair3 hydrogen bonds, so G-C rich DNA is harder to separate
Direction of the strandsantiparallel: 5′→3′ beside 3′→5′
Dimensionsabout 2 nm wide, 0.34 nm per base pair, about 10 base pairs per turn

Common traps

DNA has no uracil, but DNA bases can still pair with uracil

Uracil is never part of DNA. But during transcription an adenine in the DNA template pairs with uracil in the new RNA. So 'DNA bases may form hydrogen bonds with uracil' is true, while 'DNA contains uracil' is false.

Hydrogen bonds join the strands; phosphodiester bonds build each strand

Options often swap the two bonds. The bases of opposite strands are held by hydrogen bonds, which are weak and easy to break for copying. Each strand's own nucleotides are linked by covalent phosphodiester bonds, which stay intact when the helix opens.

Complement AND reverse to write the partner 5′→3′

Swapping the bases gives the partner strand running 3′→5′. Many options print those letters with 5′ and 3′ labels in the usual order, which is a different molecule. Reverse the complement before you compare it with options written 5′→3′.

A start codon does not mark the 5′ end

The 5′ end is a chemical feature (the free phosphate on carbon 5′). A sequence beginning with AUG or ATG tells you nothing about direction unless the ends are labelled or the 5′→3′ convention is stated.

Pair the right partners: G with C, A with T

Given guanine, the matching share belongs to cytosine, not thymine. To find thymine from guanine, double the guanine figure, subtract from 100%, then halve. Copying the guanine number as the answer is the commonest wrong option.

Chargaff's rule needs two strands

A single strand of DNA, or any RNA, can have any base ratio. The rule is a consequence of pairing, so it applies only to double-stranded DNA taken as a whole.

Count pairs, not nucleotides, before multiplying

If a fragment has 9 cytosines, it has 9 G-C pairs (9 C plus 9 G), not 18. Multiplying the nucleotide count by 3 double-counts every pair.

Phosphates are not phosphodiester bonds

Every nucleotide carries one phosphate, so phosphates = nucleotides. But a linear strand of n nucleotides has only n − 1 phosphodiester bonds, because the end nucleotide has no neighbour on one side.

DNA Replication: Semi-conservative Copying

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Semi-conservative replication and counting labelled strands

Molecules after n rounds

molecules=2n,fraction holding an original strand=22n\text{molecules} = 2^n, \qquad \text{fraction holding an original strand} = \frac{2}{2^n}
  • nnnumber of rounds of replication

The enzymes of DNA replication and what each one does

Enzyme or proteinJobBond made or broken
Helicaseunwinds the helix at the fork and separates the strandsbreaks hydrogen bonds between bases
Topoisomerase (DNA gyrase in bacteria)relieves the over-twisting ahead of the forkcuts and rejoins phosphodiester bonds
Single-strand binding proteinskeep the separated strands apartmakes or breaks none; they only bind
Primaselays down a short RNA primermakes phosphodiester bonds in RNA
DNA polymerase III (bacteria)extends the primer 5′→3′, pairing each new base with the template, and proofreadsmakes phosphodiester bonds
DNA polymerase I (bacteria)removes the RNA primers and fills the gaps with DNAbreaks and makes phosphodiester bonds
DNA ligaseseals the last gap in the backbone between neighbouring fragmentsmakes one phosphodiester bond

Leading and lagging strands and Okazaki fragments

FeatureLeading strandLagging strand
Direction of growth5′→3′, towards the fork5′→3′, away from the fork
How it is madecontinuously, in one piecein short Okazaki fragments
RNA primers neededone, at the originone for every fragment
Work for DNA ligasevery littlejoins every pair of neighbouring fragments

Key experiments: DNA as the genetic material and its structure

Who and whenWhat they didWhat it showed
Griffith (1928)mixed heat-killed virulent pneumococci with live harmless ones; the mice dieda 'transforming principle' can pass between bacteria
Avery, MacLeod and McCarty (1944)destroyed each type of molecule in the extract in turnthe transforming principle is DNA
Chargaff (about 1950)measured the bases in DNA from many speciesA = T and G = C
Hershey and Chase (1952)labelled phage protein with ³⁵S and phage DNA with ³²Ponly DNA enters the bacterium: genes are DNA
Franklin and Wilkins (1951 to 1953)X-ray crystallography of DNA fibresa regular helix with the backbone on the outside
Watson and Crick (1953)built the double-helix modelbase pairing suggests how DNA is copied
Meselson and Stahl (1958)grew bacteria in ¹⁵N then ¹⁴N and separated DNA by densityreplication is semi-conservative

Common traps

Molecules and strands give different fractions

After n rounds there are 2n2^n molecules but 2n+12^{n+1} strands. The 2 original strands are 2/2n2/2^n of the molecules but only 2/2n+12/2^{n+1} of the strands. Check which one the question asks for.

DNA polymerase needs a primer; RNA polymerase does not

DNA polymerase can only add to an existing 3′ end, so every new DNA strand starts on a short RNA primer. RNA polymerase in transcription starts a chain on its own. An option saying DNA polymerase begins a new strand from nothing is wrong.

The lagging strand is not built 3′→5′

No strand is ever built 3′→5′. The lagging strand is built 5′→3′ like the leading strand, but in pieces, each pointing away from the fork. An option saying one strand grows 3′→5′ is wrong.

X-ray crystallography, not electron microscopy, revealed the helix

Franklin's evidence came from the pattern X-rays make after passing through DNA fibres. Electron microscopes, chromatography and electrophoresis played no part in finding the double helix.

Transcription: From DNA to mRNA

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Template strand, coding strand and the mRNA sequence

mRNA from the two DNA strands

mRNA=coding strand with T→U=complement of the template strand\text{mRNA} = \text{coding strand with } T \rightarrow U = \text{complement of the template strand}

The stages of transcription and where it happens

Stage or featureWhat happens
InitiationRNA polymerase binds the promoter (in eukaryotes helped by transcription factors, often at a TATA box) and opens a short stretch of the helix
ElongationRNA polymerase moves along the template, adding ribonucleotides to the 3′ end of the growing RNA; the DNA closes again behind it
Terminationat a terminator sequence (bacteria) or after a polyadenylation signal (eukaryotes) the RNA and the enzyme are released
Whereeukaryotes: in the nucleus, and in mitochondria and chloroplasts, which have their own DNA; prokaryotes: in the cytoplasm
Enzymesbacteria: one RNA polymerase; eukaryotes: three (I makes most rRNA, II makes mRNA, III makes tRNA)

Replication compared with transcription

FeatureReplicationTranscription
Templateboth strands of the whole moleculeone strand of one gene at a time
Main enzymeDNA polymerase (with helicase, primase, ligase)RNA polymerase
Primerneeded (RNA primer)not needed
Sugar and bases addeddeoxyribose; A, T, G, Cribose; A, U, G, C
Producttwo double-stranded DNA moleculesone single-stranded RNA
Whenonce per cell cycle, in S phasecontinually, gene by gene, as the cell needs

Processing eukaryotic mRNA: cap, poly-A tail and splicing

StepWhat is added or removedWhy
5′ capa modified guanine (7-methylguanosine) added to the 5′ endprotects the 5′ end and helps the ribosome bind
Poly-A tailabout 100 to 250 adenine nucleotides added to the 3′ end, without a templateprotects the mRNA from breakdown and helps export
Splicingintrons cut out and exons joined by the spliceosome (small nuclear RNAs and proteins)leaves one continuous coding sequence
Alternative splicingdifferent combinations of exons kept in different cellsone gene can give several different proteins

Common traps

Transcription makes RNA, not protein

The direct product of transcribing any gene, even the insulin gene, is an RNA molecule. The protein is made later, by translation. Options naming a protein as the product of transcription are wrong.

The mRNA matches the coding strand, not the template

The template strand is the one read, so the mRNA is its complement. Writing the template's own letters with U for T gives the wrong mRNA, and that error is usually among the options.

The same three bond events happen in both processes

Breaking hydrogen bonds, forming hydrogen bonds and forming phosphodiester bonds all occur in replication and in transcription. A statement using one of these to tell them apart is wrong; the real differences are the sugar, the base U or T, the enzyme and the product.

Exons are expressed; introns are removed

The names help: EXons are EXpressed, INtrons stay IN the nucleus. So a mature mRNA is shorter than its gene, and protein length cannot be predicted from the length of the whole gene.

The Genetic Code and Protein Synthesis

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Codons: why the code uses triplets, and the start and stop codons

Number of possible codons

codons=4 n,43=64=61 (amino acids)+3 (stop)\text{codons} = 4^{\,n}, \qquad 4^3 = 64 = 61 \text{ (amino acids)} + 3 \text{ (stop)}
  • nnnumber of bases per codon
  • 44number of different bases in mRNA (A, U, G, C)

From DNA to mRNA codons to tRNA anticodons

Anticodons and the template strand

anticodon=complement of the codon=template strand with T→U\text{anticodon} = \text{complement of the codon} = \text{template strand with } T \rightarrow U

Properties of the genetic code: degenerate, unambiguous, universal

PropertyMeaningExample
Tripletthree bases make one codonAUG is one codon
Degeneratemost amino acids have more than one codonglycine: GGU, GGC, GGA and GGG
Unambiguouseach codon has only one meaningGGU always means glycine
Non-overlappingeach base belongs to one codon, read codon after codon with no gapsAUGGCC is read AUG, then GCC
Nearly universalthe same codons mean the same in almost all organismsbacteria can make human insulin from the human gene

mRNA, tRNA and rRNA: structure and job of each

RNAStructureJob
mRNA (messenger)one linear strand of codons; in eukaryotes with a cap and a poly-A tailcarries the gene's message from DNA to the ribosome
tRNA (transfer)one strand of about 75 to 90 nucleotides folded into a cloverleaf, with an anticodon loop; the amino acid binds the 3′ endbrings one kind of amino acid and pairs its anticodon with the codon
rRNA (ribosomal)long strands folded and combined with proteins into the two ribosome subunitsforms the ribosome; the rRNA of the large subunit makes the peptide bonds

Translation on the ribosome: initiation, elongation, termination

StageWhat happens
Initiationthe small subunit binds the mRNA and finds AUG; the initiator tRNA carrying methionine pairs with it in the P site; the large subunit joins
Elongationa charged tRNA enters the A site; the rRNA forms a peptide bond, passing the chain onto the new amino acid; the ribosome moves one codon along and the empty tRNA leaves from the E site
Terminationa stop codon reaches the A site; a release factor (a protein) binds; the polypeptide is freed and the subunits separate
After translationthe chain folds; proteins for secretion, made on the rough ER, are modified in the Golgi apparatus

Common traps

Stop codons code for no amino acid and have no tRNA

At a stop codon a protein release factor, not a tRNA, binds the ribosome. So count stop codons when finding mRNA length, but not when counting amino acids.

Degenerate is not the same as ambiguous

Degenerate means one amino acid has several codons. Ambiguous would mean one codon has several amino acids, which never happens. The code is degenerate but unambiguous.

Codons are on mRNA; anticodons are on tRNA

rRNA has no anticodons, and mRNA has no anticodons. A codon is a triplet of the message; an anticodon is the complementary triplet on the tRNA that reads it.

Anticodons match the template strand, not the coding strand

Two complements cancel out: template → mRNA → anticodon brings you back to the template sequence, with U for T. An option that matches the coding strand describes the mRNA, not the anticodons.

Translation is in the cytoplasm, in every kind of cell

Capping, splicing and transcription happen in the eukaryotic nucleus, but translation happens on ribosomes in the cytoplasm. It is not special to eukaryotes: bacteria translate on their own 70S ribosomes.

Mutations at the Level of DNA

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Point mutations: silent, missense, nonsense and frameshift

TypeChange in the DNAEffect on the protein
Silentsubstitution giving a codon for the same amino acidno change
Missensesubstitution giving a codon for a different amino acidone amino acid replaced; the protein may fold differently
Nonsensesubstitution giving a stop codona shorter protein, usually not functional
Frameshiftinsertion or deletion of 1, 2, 4 ... bases (not a multiple of 3)every codon after it read wrongly, often reaching an early stop
In-frame insertion or deletion3 bases (or a multiple of 3) added or lostone amino acid gained or lost; the rest unchanged

Causes of mutation, repair and inheritance of mutations

Source or systemWhat it does to DNA
Copying errorsa wrong base slips past DNA polymerase; after proofreading and repair about 1 base in 10910^9 to 101010^{10} copied stays wrong
Ultraviolet lightjoins neighbouring thymines into thymine dimers, which distort the helix
Ionising radiation (X-rays, gamma rays)breaks one or both strands of the backbone
Chemical mutagensalter bases or slip between them (intercalating agents cause frameshifts); tobacco smoke contains several
Repair systemsproofreading by DNA polymerase, mismatch repair, and excision repair of damaged bases

Common traps

A single-base change can have any of several effects

Do not assume a point mutation always changes the protein, or always ruins it. The same kind of event can be silent, change one amino acid, shorten the protein or shift the frame. A 'which effects are possible' question usually wants all of them.

Equal length does not rule out insertion or deletion

If one base is inserted and another deleted a few bases later, the length is unchanged but the codons between them are read in the wrong frame. When two sequences of equal length differ in a run of bases, consider substitution, insertion and deletion together.

Mutations are random, not directed by need

A mutagen raises the rate of mutation everywhere in the genome. It does not produce the change an organism needs; natural selection later acts on whatever variation arises.

The Genome, Chromatin and the Control of Genes

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Chromatin packing and the organisation of the genome

LevelWhat it isApproximate size
Histoneone small protein; eight (two each of H2A, H2B, H3, H4) form a corea few nanometres
Nucleosomeabout 147 base pairs of DNA wound nearly twice round a histone coreabout 10 nm across ('beads on a string')
Chromatin fibrenucleosomes packed together, helped by histone H1about 30 nm thick
Looped domainsthe fibre folded in loops on a protein scaffolda few hundred nanometres
Metaphase chromosomethe most condensed form: two sister chromatidsabout 1 µm wide and several µm long

The lac operon: switching bacterial genes on with lactose

LactoseGlucoseRepressorTranscription of lacZ, lacY, lacA
absentpresent or absentbound to the operatoroff
presentpresentreleased (allolactose bound)low (no help from CAP)
presentabsentreleased (allolactose bound)high (cAMP and CAP help RNA polymerase bind)

Control of gene expression in eukaryotes, in outline

LevelHow expression is controlled
Chromatinacetylating histones loosens chromatin and allows transcription; methylating DNA silences genes
Transcriptiontranscription factors bind promoters, enhancers and silencers to switch genes on or off
RNA processingalternative splicing chooses which exons enter the mRNA
mRNA lifetime and translationmicroRNAs and the length of the poly-A tail decide how long an mRNA lasts and how often it is read
Proteinproteins are activated by modification (for example phosphorylation) or destroyed by the proteasome

Common traps

Rank the packing levels by what contains what

A chromosome contains many nucleosomes, and each nucleosome contains eight histones, so chromosome > nucleosome > histone. Options that put a histone above a nucleosome reverse the nesting.

The repressor gene is outside the operon and always active

lacI has its own promoter and makes the repressor all the time. Lactose does not stop its production; it binds the repressor and changes its shape so that it falls off the operator.

Transcription factors regulate genes; RNA polymerase only transcribes them

RNA polymerase is needed for every gene and does not choose which genes are used. Gene expression is regulated by transcription factors (and by chromatin, splicing and the other levels), not by replication factors or by organelles such as the rough ER.

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