Matzke NJ? Hey, I know that guy! I thought that this article was not coming out until October, and I would therefore have a few weeks to prepare some suitable PT posts to update everyone on developments in flagellar evolution since my first effort in 2003 (read this for background), and on the litany of errors and pseudoscience that the ID movement has produced regarding their favorite "Icon of Intelligent Design." But, the powers that be at Nature Reviews Microbiology have seen fit to release the article as an Advanced Online Publication -- and put it on their front page, no less -- so it remains a secret no longer. C'est la vie. There are several large flagellum-related topics I still plan to blog in the near future, but for the moment I would just like to hit one topic: what is The Main Point that PT readers should get out of the article? The Main Point A number of issues are discussed in this paper. I won't belabor most of them (read the paper!), but I do want to make sure one key point is well understood by everyone in the evolution vs. ID/creationism debate -- or at least among us skeptics of ID, since the ID/creationists probably won't listen. Referring to the Kitzmiller case, we note in Box 2: Of forelimbs and flagella,Pallen MJ, Matzke NJ. (2006). "From The Origin of Species to the origin of bacterial flagella." Nature Reviews Microbiology, 4(10), 784-790. October 2006. Advanced Online Publication on September 5, 2006. [PubMed] [Journal] [DOI] [Google Scholar] In the recent Dover trial, and elsewhere, the 'Intelligent Design' movement has championed the bacterial flagellum as an irreducibly complex system that, it is claimed, could not have evolved through natural selection. Here we explore the arguments in favour of viewing bacterial flagella as evolved, rather than designed, entities. We dismiss the need for any great conceptual leaps in creating a model of flagellar evolution and speculate as to how an experimental programme focused on this topic might look.
Below, I will show that Minnich's claim has been repeated by many other leading ID advocates, and that they have all got their basic facts badly wrong. What ID advocates have claimed First, let's look at what the IDists have written while arguing against the evolution of the flagellum:ID advocates say that their position is supported by discontinuities between the flagellum and the rest of the biological world, just as a designed entity like a watch differs from an undesigned entity, such as a stone. In support of this line of reasoning, Scott Minnich in his expert witness report claimed that "the other thirty proteins in the flagellar motor (that are not present in the type III secretion system) are unique to the motor and are not found in any other living system." As our discussion shows, this is not true. Instead, we have detected sequence homologies linking flagellar components to the rest of the biological universe (Table 1). (Pallen and Matzke 2006, "From The Origin of Species to the origin of bacterial flagella." Nature Reviews Microbiology advance online publication 5 September 2006.)
It follows that the TTSS does not explain the evolution of the flagellum (despite the handwaving of Aizawa 2001). Nor, for that matter, does the bacterial flagellum explain in any meaningful sense the evolution of the TTSS. The TTSS is after all much simpler than the flagellum. The TTSS contains ten or so proteins that are homologous to proteins in the flagellum. The flagellum requires an additional thirty or forty proteins, which are unique. William A. Dembski (2003). "Still Spinning Just Fine: A Response to Ken Miller." DesignInference.com. February 17, 2003.
With the bacterial flagellum, you're talking about a machine that's got 40 structural parts. Yes, we find 10 of them are involved in another molecular machine, but the other 30 are unique! So where are you going to borrow them from? Eventually you're going to have to account for the function of every single part as originally having some other purpose. So you can only follow that argument so far until you run into the problem of you're borrowing parts from nothing. Scott Minnich (2003), in the video Unlocking the Mystery of Life, online at The Apologia Project.
Miller's scenario faces at least key three difficulties. First, the other thirty or so proteins in the flagellar motor are unique to it and are not found in any other living system. From where,then, were these protein parts co-opted? Stephen C. Meyer (2004). "Verdict on the Bacterial Flagellum Premature: A Response to Begley's 'Evolution Critics Come Under Fire...' in the Wall Street Journal." Discovery Institute website, February 19, 2004.
Additionally, the other thirty proteins in the flagellar motor (that are not present in the TTSS) are unique to the motor and are not found in any other living system. From whence, then, were these protein parts co-opted? Minnich (2005) expert report, March 31, 2005 / Scott A. Minnich & Stephen C. Meyer (2004). "Genetic Analysis of Coordinate Flagellar and Type III Regulatory Circuits in Pathogenic Bacteria." Second International Conference on Design & Nature, Rhodes Greece. Wessex Institute of Technology, September 1, 2004.
Summary: All the IDists think that 3/4 of the flagellum proteins are "unique", i.e. do not share homologies with other proteins. All they are aware of is the homologies to T3SS, which they usually mention while rebutting Kenneth Miller. Casey Luskin, a late example, cuts the number to 2/3, probably because he is dimly aware that there are some other homologous proteins out there, perhaps because several of us ID skeptics have been mentioning this point repeatedly for several years. The facts What's the truth? Have a look at Table 1 of Pallen and Matzke 2006: Table 1: Homologies of flagellar proteinsWith regards to the flagellum at least 2/3 of the parts are not known to be shared with any other structure therefore might not be even a sub-part of another system at all. Casey Luskin (2006). "Do Car Engines Run on Lugnuts? A Response to Ken Miller & Judge Jones's Straw Tests of Irreducible Complexity for the Bacterial Flagellum." Evolution News & Views. April 19, 2006.
| Protein | Location | Function | Indispensable? | Homologies* | Refs |
|---|---|---|---|---|---|
* Homologies (as evidenced by expected values <1e05) can be confirmed by retrieving the relevant flagellar protein sequences for Escherichia coli K-12 or Salmonella enterica Typhimurium LT2 and carrying out the following: | |||||
||performing a BLASTp search at the NCBI site under default conditions. | |||||
‡performing multiple PSI-BLAST iterations at the NCBI site under default conditions; | |||||
§performing multiple iterations of PSI–BLAST at the NCBI site under default conditions, except for adjusting the threshold for inclusion to 0.05 and restricting the taxonomic scope to Enterobacteriaceae, starting with the protein sequences for FlgB, FlgL; | |||||
¶These similarities fail to achieve unequivocal significance using BLAST/PSI–BLAST under any of the above conditions, but are supported by other structural or functional considerations. T3SS, type III secretion system. | |||||
| FlgA | P ring | Chaperone? | Absent from Gram-positive bacteria | CpaB‡ | 25, 29 |
| FlgBCFG | Rod | Transmission shaft | Yes | FlgBCEFGK§ | 25 |
| FlgD | Hook | Hook cap | Yes | None yet known | 25 |
| FlgE | Hook | Universal joint | Yes | FlgBCEFGK§ | 25 |
| FlgH | L ring | Bushing | Absent from Gram-positive bacteria | None yet known | 25 |
| FlgI | P ring | Bushing | Absent from Gram-positive bacteria | None yet known | 25 |
| FlgJ | Rod | Rod cap; muramidase | FlgJ N-terminal domain absent from some systems | None yet known | 25 |
| FlgK | Hook–filament junction | Hook-associated protein 1 | Yes | FlgBCEFGK§ | 25 |
| FlgL | Hook–filament junction | Hook-associated protein 3 | Yes | FliC§ | 25 |
| FlgM | Cytoplasm and exterior | Anti-sigma factor | Absent from Caulobacter | None yet known | 25 |
| FlgN | Cytoplasm | Chaperone | Undetectable in some systems | None yet known | 25 |
| FlhA | T3SS apparatus | Protein export | Yes | LcrD/YscV|| | 25 |
| FlhB | T3SS apparatus | Protein export | Yes | YscU|| | 25 |
| FlhDC | Cytoplasm | Transcriptional regulator | Absent from many systems | Other activators‡ | 25 |
| FlhE | Unknown | Unknown | Mutant retains full motility | None yet known | 25 |
| FliA | Cytoplasm | sigma factor | Absent from Caulobacter | RpoD, RpoH, RpoS|| | 25 |
| FliB | Cytoplasm | N-methylase | Absent from Escherichia coli | None yet known | 25 |
| FliC | Filament | Flagellin | Yes | FlgL§, EspA¶ | 25, 78 |
| FliD | Filament | Filament cap; hook-associated protein 2 | Absent from Caulobacter | None yet known | 25 |
| FliE | Rod/basal body | MS ring–rod junction | Yes | None yet known | 25 |
| FliF | T3SS apparatus | Protein export | Yes | YscJ§ | 25 |
| FliG | Peripheral | Motor | Yes | MgtE¶ | 25 |
| FliH | T3SS apparatus | Regulates FliI | Mutant retains some motility | YscL*, AtpFH¶ | 38, 79 |
| FliI | T3SS apparatus | ATPase for protein export | Yes | YscN||, AtpD||, Rho|| | 38 |
| FliJ | Cytoplasm | Chaperone | Undetectable in some systems | YscO¶ | 25 |
| FliK | Hook/basal body | Controls hook length | Yes | YscP¶ | 25 |
| FliL | Basal body | Unknown | Mutant retains full motility | None yet known | 80 |
| FliM | T3SS apparatus | Protein export | Yes | FliN‡, YscQ‡ | 25 |
| FliN | T3SS apparatus | Protein export | Yes | FliM‡, YscQ‡ | 25 |
| FliO | T3SS apparatus | Protein export | Undetectable in some systems | None yet known | 25 |
| FliP | T3SS apparatus | Protein export | Yes | YscR|| | 25 |
| FliQ | T3SS apparatus | Protein export | Yes | YscS|| | 25 |
| FliR | T3SS apparatus | Protein export | Yes | YscT|| | 25 |
| FliS | Cytoplasm | FliC chaperone | Absent from Caulobacter | None yet known | 25 |
| FliT | Cytoplasm | FliD chaperone | Absent from many systems | None yet known | 25 |
| FliZ | Cytoplasm | Regulator | Absent from many systems | None yet known | 25 |
| MotA | Inner membrane | Motor | Yes | ExbB‡, TolQ‡ | 25 |
| MotB | Inner membrane | Motor | Yes | ExbD‡, TolR‡, OmpA‡ | 25 |
53 Comments
Corkscrew · 7 September 2006
From the table, I count 15 proteins with no known homologies, 2 of which are indispensable. What's with that?
Andrea Bottaro · 7 September 2006
Great job, Nick. I wonder whether the "30 unique proteins" canard is going to find its way in the new edition of "Of Pandas and People", that Dembski & C are supposed to be putting out shortly. That would be sweet.
SteveF · 7 September 2006
I've just had a quick scan of the paper. Looks like being a good read. In the meantime (and I thought this was as good a place as any to put it) the following paper in today's Nature is well worth a glance:
Keightley, P.D. and Otto, S.P. (2006) Interference among deleterious mutations favours sex and recombination in finite populations. Nature, 443, 89-92.
Sex and recombination are widespread, but explaining these phenomena has been one of the most difficult problems in evolutionary biology. Recombination is advantageous when different individuals in a population carry different advantageous alleles. By bringing together advantageous alleles onto the same chromosome, recombination speeds up the process of adaptation and opposes the fixation of harmful mutations by means of Muller's ratchet. Nevertheless, adaptive substitutions favour sex and recombination only if the rate of adaptive mutation is high, and Muller's ratchet operates only in small or asexual populations. Here, by tracking the fate of modifier alleles that alter the frequency of sex and recombination, we show that background selection against deleterious mutant alleles provides a stochastic advantage to sex and recombination that increases with population size. The advantage arises because, with low levels of recombination, selection at other loci severely reduces the effective population size and genetic variance in fitness at a focal locus (the Hill---Robertson effect), making a population less able to respond to selection and to rid itself of deleterious mutations. Sex and recombination reveal the hidden genetic variance in fitness by combining chromosomes of intermediate fitness to create chromosomes that are relatively free of (or are loaded with) deleterious mutations. This increase in genetic variance within finite populations improves the response to selection and generates a substantial advantage to sex and recombination that is fairly insensitive to the form of epistatic interactions between deleterious alleles. The mechanism supported by our results offers a robust and broadly applicable explanation for the evolutionary advantage of recombination and can explain the spread of costly sex.
SteveF · 7 September 2006
One thought (and it may be a nitpick) about the abstract. I'm not entirely convinced by this sentence:
"Here we explore the arguments in favour of viewing bacterial flagella as evolved, rather than designed, entities"
It seems to me that this is a little generous towards the ID crowd, implicitly crediting them with having an actual working scientific hypothesis for the origin of the bacterial flagella.
Am I just being pedantic?
Steevl · 7 September 2006
Steevl · 7 September 2006
Oh, darn it. I just looked it up and it means both. Now I look like an idiot.
SteveF · 7 September 2006
From one pedant to another, belabor is prefectly acceptable in this context:
"to explain, worry about, or work at (something) repeatedly or more than is necessary: He kept belaboring the point long after we had agreed."
iain law · 7 September 2006
Nick,
Your table lists two proteins (FlgD and FliE) that are indispensible but have no known homologies, not one as you say below the table. This doesn't affect your main points, of course.
steve s · 7 September 2006
David vun Kannon · 7 September 2006
I agree with Corkscrew, if you count "None" (FliO) as equal to "None Yet Known" then you've got 15, 2 (FlgB, FliE) that are indispensable.
What stands out more to my eye is the obvious correlation of "Absent" and "None". Can anyone elucidate that?
Gary Hurd · 7 September 2006
Congratulations Nick, you worked long and hard on that paper.
AnthonyK · 7 September 2006
Could it be that real scientists are doing the work of the ID crowd for them? Of course not, because we are actually, bit by bit, clawing away at the "we don't know at the moment = we can never know (and don't want to know)" hypothesis.
I wonder, though, to what extent ID is useful (god I hated writing that) in that it provides fruitful new areas of investigation? Might this kind of thing lead to real breakthroughs of the cure for X variety? What do you think Nick? Presumably as a scientist you aren't wasting your time proving them wrong. And where do you go from here?
Great work. But you're right, they won't listen.
David vun Kannon · 7 September 2006
Not being an expert in these matters, I don't know much you relaxed the defaults to arrive at some of the homologies. I'm sure a rebuttal of this data will observe that only using the defaults flips the ratios around completely.
Does the paper explain the extent and significance of the variation from the defaults and why using the defaults was inappropriate? If the same criteria were applied to the other proteins in the table what would be the results? Especially the homologies identified by paragraph marks - from the brief explanation it sounds like these homologies are identified with extremely subjective criteria.
With all the pounding on ID advocates to define their terms and stick to a consistent definition, I can't say I'm happy about a table that conflates four different meaning of the word homology in order to make its point. I'm very open to hearing from Nick or any other expert on using BLAST that this conflation is acceptable and standard procedure when counting homologies. As a non-expert however, that doesn't jump out at me as true.
Nick (Matzke) · 7 September 2006
Thanks for the comments -- making various edits. Apologies for counting errors, that's what I get for posting in the middle of the night.
Zachriel · 7 September 2006
Great job. I've cited your argument on flagellum evolution often. I'll be sure to update my links to the peer article.
Warren · 7 September 2006
Corkscrew · 7 September 2006
Hmm, I thought the issue discussed in the Keightley and Otto paper had been resolved a while back. Long-term effects like deterioration aren't enough to overcome the twofold reproductive advantage of asexual species - the sexual species would get overrun before the problems became apparent. However, parasitism and disease, adapting as they do to target individual organisms, are able to do substantially more damage to identical children than to children produced sexually.
That's the version I heard anyway, obviously I bow to the superior experience of anyone with actual scientific qualifications.
Nick (Matzke) · 7 September 2006
Regarding BLASTing on non-default settings: not really. Of the four categories, the first three are completely standard techniques and the homologies are well-accepted. Of the 28 homologies I counted just now (including a dual homology), only five are based on "structural/other" criteria, and even so several of those are well-accepted.
Homology by technique:
BLASTP defaults: 7
PSI-BLAST defaults: 7
PSI-BLAST slightly relaxed: 9
Structural/other: 5
The PT server appears to be overloaded at the moment, so I am having trouble logging in to do edits. For the record, the correct counts are 15 and 2 for "unique" and "unique + inessential."
steve s · 7 September 2006
TLTB · 7 September 2006
More than factual details of your study, what is important here is that you have shown what good science does - it takes an unknown and chips away at it looking for answers. Since IDers can't prove that something is irreducibly complex in principle, their claims rely on the fact that we don't know everything there is to know. ID depends on science not going forward.
Good job taking away one of their icons. Of course, they'll just find another dozen things we don't know everything about and claim they're irreducibly complex...
Nick ((Matzke)) · 7 September 2006
Michael Suttkus, II · 7 September 2006
Nick ((Matzke)) · 7 September 2006
CJ O'Brien · 7 September 2006
The SpringerBot is, in his own words, an "autodidact." If he wants to know what's in the paper, he'll tell YOU what's in the paper.
Fross · 7 September 2006
this is another example of how I.D. is actually anti-science.
While they are certainly imaginative in their questions (a very good thing!!) They are imaginative for the purpose of trying to find a question so difficult and so complex that they feel it can't be answered. To them, unanswered questions are the ultimate goal, since it creates a safe haven for their "supernatural" answers. Finding a good difficult question is the last step in their "research" and it closes the door for them. (ie "how could the flagellum have evolved step by step?)
Science on the other hand has another reason to be imaginative in finding difficult and hard questions. Science is more about finding the correct question than the correct answer, because in science questions aren't used to shut doors, but to open new doors. In this regard, it's good to have the I.Dists around because sometimes they can offer up some imaginative questions that might not have been asked otherwise. Someone already mentioned this, but it looks to me like a lot of flagellum research is being done these days and I think at least a small part of that was influenced by the ID throwing down the challenge. (of course that's just a guess)
Steviepinhead · 7 September 2006
Matt Inlay · 7 September 2006
Great post Nick, and congrats on the publication.
I'm sure the IDists will complain that only one side of the story is being given "airtime" in peer-reviewed journals, and that somehow that isn't "fair". However, it's important to note that journals are not required to publish both sides of an argument when one side is based on faulty logic and science. Both sides must maintain a level of scientific rigor to be taken seriously by a journal. It's obvious that IDists argue by omitting important information or outright lying. They shouldn't whine that journals are unimpressed by it.
Another thing that's important to remember is that the bacterial flagellum was chosen as their biochemical mascot specifically because it's so friggin complex. It's not as though the flagellum is the cornerstone of all life on earth. I doubt it's even required for the bacteria that have it. If they really wanted to look for evidence of design, they would focus on those systems that were actually critical to all organisms (DNA replication, transcription, translation, to name a few). It shouldn't be surprising that the flagellum would give the most difficulty in explaining its origins, that's why they chose it.
If IC were really a roadblock for evolution, then it would apply equally to the most simple IC systems as well as the most complex. It's funny that reading Nick's post, I can see where other IC systems, like the complement system, have already bypassed the major hurdles that the flagellum research is still in the process of passing. For example, the IDists argue that the TTSS evolved from the flagellum and not vice versa. However, in the case of the complement system, we can see the steady accumulation of parts from the most basic complement system in sea urchin to the most complex in mammals. With regards to ICness, there's no qualitative difference between the complement system and the bacterial flagellum, only quantitative (i.e. number of parts). That the IDists focus so much attention on one system and ignore the others speaks volumes as to the vacuity of their ideas.
Coin · 7 September 2006
Great stuff-- I don't have access to Nature but am looking forward to your forthcoming posts here on the subject.
Something related to this subject which I find very interesting but don't know all that much about is the existence of variations in the flagellum. I'm told there are variations in structure, and your post here discusses variations in even composition (absent proteins), between the flagella of different organisms. I don't know the extent of these variations, but it seems to me the mere existence of variations belies the ID model of the flagellum as an ancient, divinely engineered gift likely to have been handed down by God himself; the flagellum apparently continues to mutate, just like any other normal part of a living thing.
It also makes me wonder what else we can conclude from those variations. You discuss here the question of the ancestry of the NF T3SS system (a funny question in itself; why would Intelligent Design lead us to conclude the flagellum came first and the NF T3SS came after? Why couldn't the designer have bestowed some bacteria with a secretion system, and then it "degraded" into an outbound motor? Is it just because the one is more "useful"?) ...but I'm somewhat curious whether anything is known (or can be detected) about the ancestry in whatever variations in the finished flagellum itself exist from organism to organism.
Do there exist any examples of an organism whose bacterial flagellum is "unusual" (mutated) in some way, and this variation is not just the result of random genetic drift but was actually clearly selected for for some reason?
Is there somewhere I could find out more about such things?
Another question, are the flagella found in bacteria the same as the flagella found in complex eukaryotes (for example, sperm cells)?
Thanks.
ofro · 7 September 2006
Torbjörn Larsson · 7 September 2006
It seems we can use the flagellum as a scourge.
"At most, one can show that ID is unparsimonious and unnecessary"
I think one can show more in the particular cases, IC for example.
As TLTB says, one can't show IC in principle, due to scaffolding et cetera. In fact one can't in general show which structure or algorithm is the simplest to solve a specific task. If the global simplest solution is an illdefined concept, so is the local simplest (IC) solution.
So IC is illdefined. This forces IDers to specially plead to look for specific examples, and use an argument from ignorance to motivate a doubt.
In particular cases, probably all of them, it seems one can show that ID is unparsimonious, unnecessary, illdefined, nonuniversal, and arguing from ignorance.
Coin · 7 September 2006
ofro · 7 September 2006
'Rev Dr' Lenny Flank · 7 September 2006
Nick ((Matzke)) · 7 September 2006
Coin · 7 September 2006
Anyway, though my halfhearted joke (about which really comes first in ID, the flagellum or the secretion system) was not really intended to garner response, I am legitimately curious about what the record has to say about the phylogeny of whatever variations on the standard bacterial flagellum exist.
KiwiInOz · 7 September 2006
Nothing like a little flagellation to start the working day.
Onya Nick.
Nick ((Matzke)) · 7 September 2006
Nick ((Matzke)) · 7 September 2006
KeithB · 7 September 2006
"I doubt it's even required for the bacteria that have it."
In "Unlocking Life's Mysteries" they show bacteria lounging around on the bottom of pond since they lack a flagellum.
I pointed out that this was pretty sneaky false propaganda to the ID'ist showing the video since anyone who has ever seen movies of bacteria know that they are pretty much neutrally buoyant. Brownian motion is enough to get them around pretty good.
Coin · 7 September 2006
Ichneumon · 7 September 2006
Nick ((Matzke)) · 7 September 2006
Nick ((Matzke)) · 7 September 2006
Coin · 7 September 2006
Very interesting, thanks.
James Downard · 7 September 2006
Bravo! One can see the flagellum myth being nibbled away, or sometimes chomped back, as with this installment, and need only see how long it takes before the ID set simply drop it from their mystery list and jomp to some other antievolutionary icon.
steve s · 7 September 2006
That guy who looks like a Disney-anthropomorphized ratCasey Luskin has a comment about Mr. Matzke.Nick (Matzke) · 7 September 2006
Huh. The quote is from his "lugnuts" article as I referenced in the OP.
Teapot · 8 September 2006
Nick (Matzke) · 8 September 2006
Thought Provoker · 8 September 2006
I posted this in reply to the Uncommon Descent thread. However, my posts there have generally show up days/weeks later or not at all. Therefore, I am cross-posting it here. Thank you for your indulgence.
Scott wrote... "C'mon folks, why are we even still discussing the rediculous [sic] notion that the flagellum could have come about via Darwinian mechanisms?"
The reason this subject is of interest because it is something scientifically tangible. It provides an opportunity to explore the predictive nature of both ID and evolution. More importantly, debating this topic helps inform and define what is meant by the term "Intelligent Design" by various proponents.
At its core, the flagellum embodies the concept that if it looks designed it probably is. It also presents the challenge/opportunity to evolution proponents to hypothesize how this came about naturally. Why should anyone be surprised when evolution proponents start making predictions about the origin of the flagellum and testing those predictions? In my opinion debating this is both very topical and constructive (as opposed to arguing about who is and isn't a true Christian).
I read with interest Joseph's comments (even checked out his blog). This is an example of the positive aspects in discussing this. I can understand the position that the existence of the flagellum isn't "anti-evolution" but is designed the same way that the earth/moon system is designed. They both came about via natural processes but, if I understand correctly, Joseph and other ID proponents are arguing that it is unlikely, if not impossible, that either came about from "sheer-dumb-luck".
Unless ID wants to remain a simple variant of a "God in the gaps" argument, its proponents need to encourage discovery and discussion. We should all be eager for "actual molecular biologist[s]" to study and discuss evidence of the natural process that lead to the flagellum. This, of course, might be problematic for those whose real agenda is the promotion of the supernatural.
Thought Provoker · 8 September 2006
UPDATE - My post showed up at Uncommon Descent. It looks like things are improving in that regard.
I also wanted to add my appreciation of Nick Matzke's work.
I honestly hope it will lead to positive and constructive discourse on this interesting subject.
Nick ((Matzke)) · 12 September 2006
I posted some replies to comments at Telic Thoughts.
Nick ((Matzke)) · 13 September 2006
I have posted a short update to my Big Flagellum Essay from 2003.
I have also added some of the more recent articles to the Flagellum Background page.