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Showing posts with label codon. Show all posts
Showing posts with label codon. Show all posts

Chargaff's Second Parity Rule is Violated in Proportion to Genome A+T Content

Erwin Chargaff was the first to notice, in the early 1950s, before Watson and Crick deduced the structure of DNA, that the quantity of purines in DNA equals the quantity of pyrimidines (specifically, the amount of adenine equals the amount of thymine; and the amount of guanine equals the amount of cytosine). This observation was key to establishing the structure of DNA, and it is often cited as Chargaff's first parity rule. But Chargaff also made another observation (the second parity rule), namely that even within a single strand of DNA, the amount of adenine tends to equal the amount of thymine and the amount of guanine tends to equal the amount of cytosine.

It's easy to understand why the first parity rule holds true, because complementarity of DNA strands depends on A pairing with T and G pairing with C; these pairings give rise to the "rungs" of the DNA ladder and ensure that copying of strands occurs with total fidelity during cell division. But there doesn't seem to be any a priori reason why the second parity rule should hold true. And in fact, it often doesn't hold true, as Wacław Szybalski noted in 1966 when he reported finding imbalances of purines and pyrimidines in bacteriophage and other DNA samples. Szybalski observed that in most cases, protein-coding regions of DNA tend to have slightly more purines than pyrimidines on one strand and slightly more pyrimidines than purines on the other strand, such that messenger RNA ends up purine-heavy.

If you're having trouble visualizing the situation, imagine a very short (12-base) "chromosome" containing 50% G+C content. One possibility is that one strand looks like GGGGGGTTTTTT and the other strand is CCCCCCAAAAAA. In this case half the purines (all the G's) are on one strand and half (A's) are on the other. But you could just as easily have strands be GGGGGGAAAAAA and CCCCCCTTTTTT. In this case, one strand is all-purines, the other all-pyrimidines. Both examples violate Chargaff's second rule, which requires that G = C and A = T within each strand (e.g., GGGCCCTTTAAA + CCCGGGAAATTT would obey the rule).

To my knowledge, no one has yet reported the fact (which I'll now report) that the degree to which Chargaff's second parity rule is violated depends on the G+C content of the source genome (at least for bacteria). Simply put, organisms with a G+C content of around 68% obey Chargaff's rules. Organisms with more than 68% G+C content violate Chargaff's second rule in the direction of pyrimidine loading of mRNA. Organisms with less than 68% G+C content (which of course includes the overwhelming majority of organisms) have purine-heavy DNA, to a degree that depends on the amount of A+T in the DNA.

Purine/pyrimidine ratio (in coding regions) as a function of genome G+C content based on codon analysis of 93 organisms. As genomes become more A+T rich, mRNA becomes more heavily purine-loaded.

The above graph shows how this relationship works. To create the graph, I did a statistical analysis of codon usage in 93 bacterial species. Organisms were chosen so as to obtain representatives across the AT/GC spectrum. No genus is represented more than once. In order to get as broad a sampling as possible, I included 14 intracellular symbionts with ultra-low G+C content (plus one such creature—Candidatus Hodgkinia cicadicola—with a 58% G+C content); many extremophiles; heterotrophs and autotrophs; pathogens and non-pathogens; and organisms with large and small genomes. The complete organism list is presented in a table further below.

Codon usage statistics for each organism were obtained using tools at http://genomevolution.org. Relative prevalences of A, T, G, and C in the genomes' coding regions were determined by codon frequency analysis. The purine:pyrimidine ratio was simply calculated as (A+G)/(C+T) based on the codon-wise frequency of usage of each base.

What we see is that while there is a good deal of noise in the data, nevertheless it's quite clear that purine/pyrimidine ratios increase sharply as genome G+C decreases.Organisms for which Chargaff's second rule holds true (points falling at y = 1.0) are in a small minority. Most organisms have purine-rich coding regions, resulting in purine-rich mRNA.

Purine enrichment occurs for both adenine and guanine. For example, in Clostridium botulinum (genome G+C = 28.21%), codon analysis reveals G/C/A/T relative abundances (on the coding strand) of 18.3/10.8/40.3/30.6.

Intra-codon base position analysis reveals that purine enrichment is far more concentrated in position one of the codon than other positions. The graphs below show the purine balance on a position-by-position basis, for each base in a codon.

Most of the variation in purine/pyrimidine ratio happens in position 1 of the codon (the 'A' in ATG, for example). Notice that the purine/pyrimidine ratio in this position is well above 1.0 for all organisms.

Variation in purine loading at the second position of the codon is more carefully controlled (notice that there is less "scatter" in this graph). The y-axis scale is different here than in the previous graph, hence the slope is quite a bit less pronounced than it looks. Also, notice that most of the points in this plot are below parity (i.e., below 1.0 on the y-axis), indicating that this codon position is relatively pyrimidine-rich.

The third (so-called "wobble") position of the codon shows considerable variation in values, but the slope of the curve is less than in the previous two graphs, and this position is pyrimidine-rich for about two-thirds of the organisms.

It's well known that GC-skew tends to be exaggerated in position 3 of the codon. For example, if the overall genome G+C is 70%, the position-wise G+C for the wobble base may be 90%. Surprisingly, we find that purine loading is most exaggerated in position 1 of the codon, not position 3. Not only is the slope of the purine-ratio curve shallower in position 3 than for the other two base positions, only position 1 is actually purine-heavy: positions 2 and 3 tend to be net pyrimidine-rich. This fact (that purine loading is primarily localized to codon position 1, whereas GC-skew is exaggerated in position 3) might indicate that the forces responsible for purine loading are entirely different from the forces responsible for GC skew.

What might those forces be? What kinds of selection pressure might cause organisms to purine-load one strand of their DNA? One possibility is that purine loading of the coding strand is a strategy for protecting the "weaker" or more vulnerable strand from damage or mutations. Cytosine is thought to be particularly vulnerable to deamination (and later substitution with thymine, during repair). It's possible that the transcription process (which is asymmetric, in that RNA polymerase operates against just one strand of DNA, leaving the other strand free) is protective of the antisense strand of DNA. That is, in transcription, RNA polymerase cloaks the antisense strand and in so doing renders that strand less vulnerable to deamination events, rogue methylations, etc., while transcription is taking place.

An entirely different possibility is envisioned by an RNA World hypothesis. In this hypothesis, the genetic material of early ancestor organisms was single-stranded RNA. Since single-stranded RNA is not "complementary" to anything, there is no need for it to obey Chargaff symmetries. Thus, purine loading could have occurred prior to the advent of double-stranded DNA, and early organisms could have been uniformly AT-rich. In this model of the world, GC-rich genomes are a late development, and the processes responsible for creating GC-rich DNA led to genetic material with full Chargaff base parity.

We may not know for a long time (if ever) what the mechanisms of purine enrichment are. But we know for sure that purine accumulation is a widespread phenomenon in the bacterial world (operating across diverse clades) and happens in a way that encourages purine-rich mRNA in organisms with low G+C content in their genomes.


Organisms used in this study:

Organism GC% genome size
Anaeromyxobacter dehalogenans 2CP-1 74.67 5009007
Cellulomonas flavigena strain DSM 20109 74.29 4123179
Xylanimonas cellulosilytica strain DSM 15894 72.47 3831380
Streptomyces bingchenggensis strain BCW-1 70.75 11936683
Myxococcus fulvus strain HW-1 70.63 9003593
Rubrobacter xylanophilus strain DSM 9941 70.48 3225748
Rhodospirillum centenum ATCC 51521 70.46 4355543
Actinomyces sp. oral taxon 175 strain F0384 68.73 3133330
Rhodococcus equi strain ATCC 33707 68.72 5259057
Acidovorax avenae subsp. citrulli strain AAC00-1 68.53 5352772
Bordetella bronchiseptica strain RB50 68.08 5339179
Alicycliphilus denitrificans strain K601 67.81 5070751
Stenotrophomonas maltophilia strain JV3 66.89 4544477
Rhodobacter capsulatus strain SB 1003 66.56 3871920
Pseudomonas aeruginosa strain PA7 66.45 6588339
Ralstonia eutropha strain H16 66.29 7416678
Xanthomonas campestris pv. raphani strain 756C 65.29 4941214
Thioalkalivibrio sp. strain HL-EbGR7 65.06 3470516
Rhodopseudomonas palustris strain BisB18 64.96 5513844
Brevundimonas diminuta strain ATCC 11568 64.51 3369316
Rhodothermus marinus strain DSM 4252 64.09 3386737
Bradyrhizobium japonicum strain USDA 110 64.06 9105828
Mycobacterium tuberculosis strain C 63.82 4379118
Thermanaerovibrio acidaminovorans strain DSM 6589 63.79 1848474
Halomonas elongata DSM 2581 strain type DSM 2581 63.61 4061296
Novosphingobium nitrogenifigens strain DSM 19370 63.43 4182647
Polaromonas sp. strain JS666 62.24 5898676
Desulfovibrio africanus strain Walvis Bay 61.42 4200534
Candidatus Desulforudis audaxviator strain MP104C 60.85 2349476
Burkholderia rhizoxinica strain HKI 454 60.68 3750138
Slackia heliotrinireducens strain DSM 20476 60.21 3165038
Candidatus Nitrospira defluvii 59.03 4317083
Halogeometricum borinquense DSM 11551 58.43 3944467
Candidatus Hodgkinia cicadicola strain Dsem 58.39 143795
Sideroxydans lithotrophicus strain ES-1 57.54 3003656
Cenarchaeum symbiosum A 57.37 2045086
Serratia sp. strain AS12 55.96 5443009
Acidaminococcus fermentans strain DSM 20731 55.84 2329769
Hyperthermus butylicus strain DSM 5456 53.74 1667163
Methanosaeta thermophila (Methanothrix thermophila PT) strain PT 53.55 1879471
Neisseria gonorrhoeae strain NCCP11945 53.37 2236178
Treponema paraluiscuniculi strain Cuniculi A 52.74 1133390
Pseudovibrio sp. strain FO-BEG1 52.38 5916782
Nitrosococcus halophilus strain Nc4 51.60 4145260
Herpetosiphon aurantiacus DSM 785 50.84 6785430
Escherichia coli B strain REL606 50.77 4629812
Bdellovibrio bacteriovorus strain ATCC15356;
50.65 3782950
Pectobacterium wasabiae strain WPP163 50.48 5063892
Anaplasma centrale (Anaplasma marginale subsp. centrale str. Israel) strain Israel 49.98 1206806
Actinomyces coleocanis strain DSM 15436 49.47 1723843
Desulfotalea psychrophila strain LSv54 46.72 3659634
Polynucleobacter necessarius strain STIR1 45.56 1560469
Nitrosomonas sp. strain Is79A3 45.44 3783444
Coprothermobacter proteolyticus strain DSM 5265 44.77 1424912
Vibrio sp. Ex25 strain EX25 44.57 5160431
Geobacillus thermoglucosidans strain TNO-09.020 43.82 3740238
Waddlia chondrophila strain 2032/99 43.59 2139757
Bacteroides fragilis strain 638R 43.42 5373121
Thiomicrospira crunogena strain XCL-2 43.13 2427734
Coxiella burnetii strain CbuG_Q212 42.63 2008870
Chlamydia muridarum Nigg strain MoPn 40.27 1080451
Psychromonas ingrahamii strain 37 40.09 4559598
Nitratiruptor sp. strain SB155-2 39.69 1877931
Lactobacillus reuteri strain DSM 20016 38.87 1999618
Thermotoga lettingae strain TM 38.70 2135342
Streptococcus pyogenes strain Alab49 38.63 1841271
Bartonella bacilliformis strain ATCC 35685; KC583 38.24 1445021
Halothermothrix orenii strain DSM 9562; H 168 37.78 2463968
Staphylothermus marinus strain F1 35.73 1570485
Calditerrivibrio nitroreducens strain DSM 19672 35.69 2216552
Bacillus thuringiensis serovar andalousiensis strain BGSC 4AW1 34.96 5488844
Desulfurobacterium thermolithotrophum 34.95 1541968
Wolbachia pipientis strain wPip 34.19 1482455
Nitrosopumilus maritimus strain SCM1 34.17 1645259
Staphylococcus aureus strain 04-02981 32.90 2821452
Methanobrevibacter ruminantium strain M1 32.64 2937203
Rickettsia japonica strain YH 32.35 1283087
Methanocaldococcus fervens strain AG86 (v1) 32.21 1507251
Mycoplasma genitalium G37 strain G-37 31.69 580076
Nanoarchaeum equitans strain Kin4-M 31.56 490885
Orientia tsutsugamushi strain Boryong 30.53 2127051
Methanococcus aeolicus strain Nankai-3 30.04 1569500
Candidatus Pelagibacter ubique strain HTCC1062 29.68 1308759
Ehrlichia canis strain Jake 28.96 1315030
Arcobacter nitrofigilis strain DSM 7299 28.36 3192235
Clostridium botulinum A strain ATCC 19397 28.21 3863450
Parvimonas sp. oral taxon 393 strain F0440 28.17 1483165
Candidatus Arthromitus sp. strain SFB-mouse-NYU 27.94 1569870
Candidatus Blochmannia floridanus 27.38 705557
Buchnera aphidicola (Acyrthosiphon pisum) strain 5A 25.69 653223
Wigglesworthia glossinidia endosymbiont of Glossina brevipalpis 22.48 703004
Candidatus Sulcia muelleri strain CARI (v1) 21.13 276511
Candidatus Carsonella ruddii strain PV (v1) 16.56 159662

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DNA: Full of Surprises

DNA is full of surprises, one of them being the radically different ways in which it can be used to express information. We think of DNA as a four-letter language (A,T,G,C), but some organisms choose to "speak" mostly G and C. Others avoid G and C, preferring instead to "speak" A and T. The question is, if DNA is fundamentally a four-letter language, why would some organisms want to limit themselves to dialects that use mostly just two letters?

The DNA of Clostridium botulinum (the botulism bug; a common soil inhabitant) is extraordinarily deficient in G and C: over 70% of its DNA is A and T. The soil bacterium Anaeromyxobacter dehalogenans, on the other hand, has DNA that's 74% G and C. Think of the constraints this puts on a coding system. Imagine that you want to store data using a four-letter alphabet, but you are required to use two of the four letters 74% of the time! Suddenly a two-bit-per-symbol encoding scheme (a four-letter code) starts to look and feel a lot more like a one-bit-per-symbol (two-letter) scheme.

What kinds of information are actually stored in DNA? Several kinds, but bottom line, DNA is primarily a system for specifying sequences of amino acids. The information is stored as three-letter "words" (GCA, ATG, TCG, etc.) called codons. There are 64 possible length-3 words in a system that uses a 4-letter alphabet. Fortunately, there are only 20 amino acids. I say "fortunately," because imagine if there were 64 different amino acids (as there might be in extra-terrestrial life, say) and they had to occur in roughly equal amounts in all proteins. Every possible codon would have to be used (in roughly equal numbers) and there would be no possibility of an organism like C. botulinum developing a "preference" for A or T in its DNA. It is precisely because only 20 codons out of a possible 64 need be used that organisms like C. botulinum (with a huge imbalance of AT vs. GC in its DNA) can exist.

As it happens, all organisms do tend to use all 64 possible codons, but they use them with vastly varying frequencies, giving rise to codon "dialects." (Note that the mapping of 64 codons onto 20 amino acids means some codons are necessarily synonymous. For example, there are four different codons for glycine and six for leucine.) You might expect that an organism like C. botulinum with mostly A and T in its DNA would "speak" in A- and T-rich codons. And you'd be right. Here's a chart showing which codons C. botulinum actually uses, and at what frequencies:


The green-highlighted codons are the ones C. botulinum uses preferentially (with the usage frequencies shown as precentages). As you can see, the most-often-used codons tend to contain a lot of A and/or T. Which is exactly what you'd expect, given that the organism's DNA is 72% A and T.

In theory, a 3-letter word in a 4-letter language can store six bits of information. But we know from information theory that the actual information content of a word depends on how often it's used. If I send you a 100-word e-mail that contains the question "Why?" repeated 100 times, you're not really receiving the same amount of information as would be in a 100-word e-mail that contains text in which no word appears twice.

The average information content of a C. botulinum codon is easily calculated using the usage-frequencies shown above. (All you do is calculate -F * log2(F) for each codon and add up the results.) If you do the math, you find that C. botulinum uses an average of 5.217 bits per codon, about 13% short of the theoretical six bits available.

One might imagine that the more GC/AT-imbalanced an organism's DNA is, the more biased its codon preferences will be. This is exactly what we find if we plot codon entropy against genome G+C content for a range of organisms having DNA of various G+C contents.

Average codon entropy versus genome G+C content for 90 microorganisms.
In the above graph, you can see that when an organism's DNA is composed of equal amounts of the bases (G+C = 50%, A+T = 50%), the organism tends to use all codons more or less equally, and entropy approaches the theoretical limit of six bits per codon. But when an organism develops a particular "dialect" (of GC-rich DNA, or AT-rich DNA), it starts using a smaller and smaller codon vocabulary more and more intensively. This is what causes the curve to fall off sharply on either side of the graph.

If you have an observant eye, you may have noticed that the two halves of the graph are not symmetrical, even though they look symmetrical at first glance. (Organisms on the high-GC side are using slightly less entropy per codon than low-GC organisms, for a given amount of genome GC/AT skew.) If you're a biologist, you might want to think about why this is so. I'll return to the subject in a future post.

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Decrypting DNA

In a previous post ("Information Theory in Three Minutes"), I hinted at the power of information theory to gage redundancy in a language. A fundamental finding of information theory is that when a language uses symbols in such a way that some symbols appear more often than others (for example when vowels turn up more often than consonants, in English), it's a tipoff to redundancy.

DNA is a language with many hidden redundancies. It's a four-letter language, with symbol choices of A, G, C, and T (adenine, guanine, cytosine, and thymine), which means any given symbol should be able to convey two bits' worth of information, since log2(4) is two. But it turns out, different organisms speak different "dialects" of this language. Some organisms use G and C twice as often as A and T, which (if you do the math) means each symbol is actually carrying a maximum of 1.837 bits (not 2 bits) of information.

Consider how an alien visitor to earth might be able to use information theory to figure out terrestrial molecular biology.

The first thing an alien visitor might notice is that there are four "symbols" in DNA (A, G, C, T).

By analyzing the frequencies of various naturally occurring combinations of these letters, the alien would quickly determine that the natural "word length" of DNA is three.

There are 64 possible 3-letter words that can be spelled with a 4-letter alphabet. So in theory, a 3-letter "word" in DNA should convey 6 bits worth of information (since 2 to the 6th power is 64). But an alien would look at many samples of earthly DNA, from many creatures, and do a summation of -F * log2(F) for every 3-letter "word" used by a given creature's DNA (where F is simply the frequency of usage of the 3-letter combo). From this sort of analysis, the alien would find that even though 64 different codons (3-letter words) are, in fact, being used in earthly DNA, in actuality the entropy per codon in some cases is as little as 4.524 bits. (Or at least, it approaches that value asymptotically.)

Since 2 to the 4.524 power is 23, and since proteins (the predominant macromolecule in earthly biology) are made of amino acids, a canny alien would surmise that there must be around 23 different amino acids; and earthly DNA is a language for mapping 3-letters words to those 23 amino acids.

As it turns out, the genetic code does use 3-letter "words" (codons) to specify amino acids, but there are 20 amino acids (not 23), with 3 "stop codons" reserved for telling the cell's protein-making machinery "this is the end of this protein; stop here."

E. coli codon usage.
The above chart shows the actual codon usage pattern for E. coli. Note that all organisms use the same 3-letter codes for the same amino acids, and most organisms use all 64 possible codons, but the codons are used with vastly unequal frequencies. If you look in the upper right corner of the above chart, for example, you'll see that E. coli uses CTG (one of the six codons for Leucine) far more often than CTA (another codon for Leucine). One of the open questions in biology is why organisms favor certain synonymous codons over others (a phenomenon called codon usage bias).

While DNA's 6-bit codon bandwidth permits 64 different codons, and while organisms do generally make use of all 64 codons, the uneven usage pattern means fewer than 6 bits of information are used per codon. To get the actual codon entropy, all you have to do is take each usage frequency and calculate -F * log2(F) for each codon, then sum. If you do that for E. coli, you get 5.679 bits per codon. As it happens, E. coli actually does make use of almost all the available bandwidth (of 6 bits) in its codons. This turns out not to be true for all organisms, however.
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