Phage Lambda and the OmpF Switch

Phage lambda gained a second way into its host by four substitutions in one gene, in twelve days, in 24 of 96 flasks. The four are jointly required but were not jointly acquired: each step improved binding to the old receptor, so selection paid for them one at a time. The change scores as a gain of function.

By AI (Claude Opus 5.5, thinking level unavailable) Draft:  September 2026

Summary

A virus called lambda normally gets into Escherichia coli through one protein on the cell surface, LamB.  In 2012 Justin Meyer, then a graduate student in Richard Lenski's laboratory at Michigan State University, and five colleagues reported that lambda evolved to get in through a second protein, OmpF, and kept the first route as well.  It needed four changes in one gene to do it.  The change happened in one of six flasks in the first experiment, by day 8, and in 24 of 96 flasks in a larger one, at a median of 12 days.1

This article answers one question:  did the four changes have to arrive together, or were they found one at a time because each one paid?  The answer is settled, and it is the second.  The four are jointly required for the new receptor.  Phage carrying three of the four cannot use OmpF at all.1  But the earlier changes were not waiting for each other.  They spread because they made the virus better at binding the receptor it already used.  Meyer's paper argued this from the pattern of mutations in 2012.  Alita Burmeister measured it in 2016:  all six intermediate phage she tested were fitter than their ancestor, and all six adsorbed faster to LamB.2  Katherine Petrie's group found in 2018 that even the last of the four improved binding to the old receptor.3

Six findings follow.

  1. The catalogue description for this article said the four mutations were "coordinated." That is wrong and this article does not say it. The correct phrase is jointly required, individually selected. The distinction is the whole substance of the case.
  2. The search that found the switch was small. A successful flask made roughly 108 to 1011 phage before the switch appeared, depending on which published density is used. That is enough for every single point mutation in the 48,502-base genome to arise a few times to a few thousand times over, and nowhere near enough for four specified changes to arrive in one replication. The arithmetic is in Part 3.
  3. This case does not test Michael Behe's limit, and Behe says so himself. His 2019 reply calls the lambda function "neither irreducibly complex nor beyond the edge of evolution."4 The Edge of Evolution treats paths whose every step helps as ordinary evolution.5 Richard Lenski's "strike two" against the book drops that condition, and to that extent overstates the case.6
  4. It does contradict two narrower claims in that book. One is the prediction that a virus which learned to enter cells by binding a different surface protein would out-compete its siblings, and "That hasn’t happened."5 In the laboratory it happened 25 times. The other is the premise that three or four of the amino-acid changes needed for a new binding site "must occur together."5 Here they did not. Behe's own endnote had already conceded that a virus binding a cell-surface protein is an easier target than a binding site inside a cell.5
  5. Scored with the series taxonomy, the switch is a gain, and a hard case. A binding activity now works that did not work before, which is question 3 of Measuring Biological Information Behe scores it a modification, and his 2010 rule genuinely says so, on one condition: the binding has to occur "at the same site on the protein."7 Nobody has measured where on the J protein OmpF binds. Behe's confidence rose from "strongly suggests" in 2012 to "precisely because" in 2019 with no new structural data in between.8 4
  6. The case cuts against the young-earth and design reading in one specific way, and that is stated plainly in Part 6. Real adaptive paths sometimes do have selectable intermediates, and when they do, a change needing four specified substitutions is cheap. The honest reply is not that intermediates never pay; it is that nobody on either side has a census of how often they do, and the one measured example had a new target that was the closest structural match to the old one in the whole cell.1

Two host facts belong in the summary because the phage could not have done it alone.  The bacteria had to break their own malT gene first, which cut LamB production and made the phage desperate for another way in.1  And bacteria that broke manY or manZ instead blocked the innovation completely:  in Animesh Gupta's 2022 replays, populations started on an already-resistant host produced the switch 0 times in 12, against 3 times in 12 on the normal host.9

Part 1: What was done

Lambda is the most studied virus that infects bacteria.  The strain Meyer used, cI26, cannot hide in the host chromosome;  it can only kill.  Its tail ends in a protein called J, 1,132 amino acids long, and J recognises LamB.10  LamB is a porin, a channel in the outer membrane that lets the sugars maltose and maltotriose through.  When E. coli grows on glucose it has little use for LamB and makes little of it.

Six flasks, each holding 10 ml of glucose minimal medium, were started with about 100 phage and about 1,000 bacteria.  Every day, 100 µl went into 9.9 ml of fresh medium, a 1 in 100 dilution.  The first experiment ran 28 days;  the larger one ran 20 days in 96 flasks.11

The bacteria took the first step, and it was a loss.  They evolved resistance by mutating malT, the regulator that switches on lamB.  Those mutants fixed within 8 days.  They also pay for it:  a broken malT cannot grow on maltose.  The supplement notes that malT mutations are useful in glucose anyway, even with no phage, "probably because they reduce the basal expression of unnecessary gene products," which is why the bacteria took that route rather than mutating lamB itself.11

The phage did not die out.  It held at about 106 to 107 per ml, roughly one phage per 100 to 1,000 cells, living on the few cells that happened to switch LamB on.1  That is the condition Meyer set up on purpose:  a virus that could reach the other 99-odd percent of cells would win big.

In one of the six flasks it did.  By day 8 about 0.01% of the phage could infect cells with no LamB at all, and by day 15 most of them could.1  Knockout strains identified the new receptor:  the evolved phage, EvoC, was stopped only by a host missing both OmpF and LamB, so OmpF was the new door.1  It could still use LamB.1

EvoC's genome carried five mutations, all five in J.1  The 96-flask experiment then gave 24 more independent origins, all of them through OmpF, at a median of 12 days and a range of 9 to 17.1

Part 2: Which mutations, and what makes them "all-or-none"

Meyer sequenced J from the 24 phage that gained the new receptor and from 24 that did not, matched day for day.  There were 241 single-nucleotide differences across the 48 alleles, no insertions or deletions, and only 40 distinct mutations, because the same ones kept recurring.  Every one changed an amino acid.  Phage that could use OmpF averaged 6.63 mutations in J;  phage that could not averaged 3.42.1

Four features were shared by all 24 winners:  A3034G, G3319A, a change at either 3320 or 3321 (the same codon as 3319, residue 1107), and at least one change somewhere between positions 2969 and 2999.1  Each of the four was also present in at least one loser, but no loser had all four.1  Three losers had three of the four and still could not touch a lamB mutant.1  Two assays confirmed it:  only the isolate D7, with all four and nothing else, adsorbed to lamB-negative cells at a measurable rate and grew on them.11  Meyer called this "all-or-none" epistasis.1

Rohan Maddamsetti's group tested the requirement directly in 2018 by building the combinations with genome engineering rather than waiting for them.  Every engineered phage that used OmpF had the change at residue 1012 and both changes at residue 1107, which together turn an aspartic acid into a lysine.  Those three alone were not enough:  a phage carrying only them was alive but could not use OmpF.  A fourth mutation was needed, and many different ones would serve.12 12

So the target is slightly larger than "four specified mutations."  It is three specified nucleotide changes, two of them in one codon, plus any one of several others.  That makes the switch easier to reach than the 2012 paper implied, not harder.  It is the honest version of the number and this article uses it.

Note what all-or-none epistasis does and does not mean.  It means no subset of the four confers any OmpF use.  It does not mean the subsets are useless.  Those are different claims, and the confusion between them is the reason this case gets cited by both sides.

Part 3: The ledger

How much searching bought the switch?  The inputs are all published, and every one of them is a range rather than a number, so the answer is a range.

Input Value Source
Flask volume 10 ml Meyer 2012 supplement11
Phage density after malT fixed 106 to 107 per ml Meyer 2012, p. 21
Phage per flask, from that density 107 to 108 product
Population size used for simulation 6.3 × 109 Gupta 2022, p. 59
Daily transfer 1% Meyer 2012 supplement11
Days to the switch, median 12 Meyer 2012, p. 41
Flasks, large experiment 96, for 20 days Meyer 2012 supplement11
Mutation rate 7.7 × 10-8 per base per replication Drake 1998, Table 413
Genome 48,502 bp; 0.0038 mutations per genome per replication Drake 1998; NCBI13 14
J gene 3,399 nucleotides NCBI10
Target 3 specified nucleotide changes plus 1 of several Maddamsetti 201812

With a 1% daily transfer, each day's growth replaces the whole flask, so births per flask per day are about one flask-full.  Twelve days of that gives the figures below.15

Quantity Low estimate High estimate
Phage produced, one flask, 12 days 1.2 × 108 7.6 × 1010
Mutations anywhere in the genome, one flask, 12 days 4.6 × 105 2.9 × 108
Mutations in J, one flask, 12 days 3.1 × 104 2.0 × 107
Times each specific point mutation arose, one flask, 12 days 3 1,900
Phage produced, all 96 flasks, 20 days 1.9 × 1010 1.2 × 1013
Times each specific point mutation arose, whole experiment 490 310,000
Expected count of a specific pair arising in one replication, whole experiment 1.3 × 10-5 8 × 10-3
Expected count of a specific quadruple in one replication, whole experiment 8 × 10-21 5 × 10-18

Two things fall out of the table.

The first is that single mutations were free.  Every one of the roughly 10,000 possible point mutations in J arose hundreds or hundreds of thousands of times across the experiment.  A search that samples every one-step neighbour many times over is not searching;  it is enumerating.

The second is that four specified changes at once were impossible, and nobody claims otherwise.  The expected number of phage carrying a specified quadruple by simultaneous mutation, across the whole 96-flask experiment, is about 10-20.  This is exactly the sort of number Behe's argument is built from, and it is why the stepwise question matters so much.  If the intermediates had not paid, the switch would not have appeared, and 24 out of 96 would have been 0 out of 96.

Unique functional sequence created.  Four nucleotides were changed, and they are not copies of anything;  no gene was duplicated.3  Against 1.2 × 108 to 7.6 × 1010 phage-generations per successful flask, that is 3 × 10-8 to 5 × 10-11 new functional nucleotides per organism-generation.  Both bounds are for the successful flasks only.  Counting the 72 flasks that produced nothing lowers the figure about fourfold.  The denominator is a real measured population, which makes this one of the few entries in the series where the cell can be filled at all.

What the ledger cannot price:  the improvements in LamB binding that came first.  Those are real adaptive changes, they were measured, and they are not counted above because their contribution cannot be converted into new nucleotides without double-counting the four.  The figure is therefore a lower bound on what this system produced, which cuts against the young-earth side of the argument.

Part 4: Jointly required, individually selected

This is the part of the case that matters, so here is every line of evidence, in order of publication.

2012, from the pattern.  Meyer's argument was indirect and he said so.  Three facts pointed to selection on J before the new function existed.  All 248 mutations across 51 sequenced alleles changed an amino acid, where chance alone predicts about 3.19 silent-to-changed.  The mutations concentrated in the C-terminal quarter of J, the part known to contact LamB:  over 97% of them.  And the same mutations recurred across independent flasks far more than chance allows;  pairs of OmpF-using phage shared 61% of their mutations.  From those, Meyer concluded that selection acted on J before the new capacity existed, and that it "presumably improved" the grip on LamB.1  The word "presumably" is doing real work.  In 2012 the fitness of the intermediates had not been measured.

The same paper is explicit that the new function cannot explain the first three steps:  "the all-or-none epistasis among the mutations means that selection for that new capacity per se was not responsible for the rise of the three prior mutations."1

2016, measured.  Burmeister pulled one phage isolate out of each of six successful flasks, sampled exactly four days before OmpF use appeared, and checked that none of them could use OmpF.2  Each carried one or two of the four required changes plus other J mutations.  All six adsorbed faster to LamB than the ancestor did.  In direct competition, four of the six beat the ancestor on the original host, and all six beat it on the resistant malT host.2  Burmeister also states the negative claim plainly:  the four mutations are known not to have arisen simultaneously, because alleles carrying subsets of them were sampled at earlier time points.2

2018, mechanism.  Petrie's group asked how a J mutation could improve the old grip and open a new one at the same time.  Their answer:  the mutations make the phage particle less stable, and an unstable J can fold two ways.  A stock of genetically identical phage contains stable particles that use LamB and unstable ones that use OmpF.  Stability fell as mutations accumulated, and later specialising mutations restored it.  The same paper measured the last of the four required mutations and found that it, too, improved binding to LamB.3  So all four steps paid on the old receptor, not three.

2022, order.  Gupta's group built 671 engineered combinations of ten J mutations and measured the fitness of 580 of them against the ancestral host and 131 against the malT host.  The landscape changes shape when the host changes.  Reconstructing one flask's history, they found the first mutation on the winning line was favoured only against the ancestral host and the second only against the malT host.9  Then the replay:  12 populations started on a resistant host gave no OmpF users at all;  12 started normally gave three.9

Put together:  four changes, jointly required for the new receptor, each individually favoured, but favoured in different host backgrounds and in a particular order.  The path existed because the environment moved, and moved in the right sequence.  That is a stronger and stranger result than either side's slogan.

Part 5: Behe's test, his reply, and the answers

The test, from The Edge of Evolution (2007).  Behe takes the frequency of chloroquine resistance in the malaria parasite, about 1 in 1020, and names a mutational problem of that difficulty a "chloroquine-complexity cluster," a CCC.5  Two independent CCCs multiply, so a "double CCC" is 1 in 1040;  since fewer than about 1040 cells have ever lived, he puts a "tentative line marking the edge of evolution" there.5  Chapter 7 then estimates from antibody shape-space work that a new protein-protein binding site needs five or six amino-acid changes, of which the neutral third can arrive separately, leaving "three or four amino acid changes … For the Darwinian step in question, they must occur together."5  The conclusion is stated in italics:  one new binding site is about as hard as chloroquine resistance, and two are beyond reach.5

Note what Behe concedes in the same book.  Where the steps are each an improvement, he treats the change as ordinary Darwinian evolution:  hemoglobin C-Harlem, two mutations, "happened exactly the way Darwin envisioned … each of which in turn was beneficial."5  His difficulty is specifically with steps that pay nothing until the last one lands.

Behe's reply in 2012, at full strength.  Three days after Meyer's paper appeared, Behe answered it.  The gist:  the paper is solid and oversold.  Viruses had been shown before to adapt to hosts with structurally similar surface proteins, and in nearly every case using the same protein and the same mutated site.  The retained LamB binding "strongly suggests" the same site on J is being used, and LamB and OmpF have similar three-dimensional structures, "so that strengthening the binding to one fortuitously led to binding to the other."  On his own 2010 scheme that is a modification of function, not a gain.  And the bacteria paid twice in broken genes:  malT to escape the original phage, then mannose permease genes to escape the evolved one.  His verdict:  "It seems Darwinian evolution took a little step sideways and two big steps backwards."8 8

Two points in that reply are worth stating sharply because they are correct.  Behe never claimed the four mutations arrived together;  from the start he read them as strengthening LamB binding first.8  And the bacterial side of the ledger is loss.  malT and manYZ are broken genes, and any honest accounting of the experiment records them.

Behe's reply in 2019.  Darwin Devolves does not mention the experiment.  A search of the book for "lambda", "OmpF", "phage" and "bacteriophage" returns nothing;  Lenski says the same.6  Behe's 2019 answer is a blog post responding to Lenski's, and it is more direct than the 2012 one.  He grants that "the mutational pathway simply increased the initial strength of binding to the original protein until it also bound the structurally similar one", argues that a gradual path in one case does not make all paths gradual, and concludes that "the new lambda function is neither irreducibly complex nor beyond the edge of evolution."4  On the classification he admits the 2012 wording was inexact, then states the rule with a test:  modification, "precisely because it is using the very same site on the J protein that it uses to bind to LamB";  a different area of the protein, or a different protein, would make it a gain.4

What the critics answered.  Lenski's post is the fullest reply.  On Darwin's Black Box:  J needed several interacting residues, and removing any one stops the function, so an irreducibly complex system evolved.  On The Edge of Evolution:  "Lambda required four constructive changes to gain the ability to use OmpF, yet dozens of populations in tiny flasks managed to do this in just a few weeks," because the intermediates were strongly beneficial.  On Darwin Devolves:  nothing is broken in the phage, which still uses LamB and is better at it than its ancestor.6 6

Where each side overreaches.  Lenski's strike two states the book as saying evolution "has a hard time making multiple constructive changes."  That drops the condition Behe actually relies on.  Behe's difficulty is with changes whose intermediates are not selectable, and Lenski's own explanation is that these intermediates were selectable.  The argument therefore does not land where he aims it.  "Dozens of populations" is also loose:  24 of 96, plus 1 of 6.

Behe's reply has a matching weakness.  He never addresses two things his own book says.  Page 139 predicts that a virus which learned to enter cells through a different surface protein would out-compete its siblings, and asserts that this has not happened.5  It then happened, 25 times, in flasks.  And chapter 7's number depends on the premise that the three or four changes "must occur together";  here a new receptor interaction requiring three specified amino-acid changes was assembled one step at a time.  The most his 2019 post offers against this is that a gradual path in one case does not make all paths gradual, which is true and is not an answer to the specific claim.

The fair summary is that this case is a defeat for two sentences in The Edge of Evolution and not a defeat for its central argument, which is about paths without selectable intermediates.  Both sides have written as if it were more.

Part 6: Gain or modification, and what the case shows

The score.  Measuring Biological Information asks four questions in order.  The sequence did not come from another lineage, so not a transfer.  Nothing in the phage stopped working;  it still uses LamB, and better than before.  Does a binding activity now work that did not work before?  Yes.  So:  gain, observed, four new nucleotides, and marked a hard case.

Behe's score, and why it is not unreasonable.  His 2010 definition puts under modification any mutation "shifting its activity somewhat (such as allowing a protein to bind a structurally-related ligand at the same site as its normal substrate)."7  In the same paper he sets out the rule for host shifts:  they are modification "if the binding occurs at the same site on the protein", and on that reading the coded element is the binding site, which is altered rather than created.7  Meyer's paper supports the "structurally-related" half:  OmpF has the most similar known crystal structure to LamB of any E. coli protein, and the two are not the closest pair by sequence, which the authors read as showing that overall shape matters more than particular residues for J binding.1

Where his score is unsupported.  The "same site" half has never been measured.  There is no structure of J bound to either receptor.  What is known is that over 97% of the mutations lie in the C-terminal region that contacts LamB, and that the region is a specificity hotspot in wild lambdoid phage as well.12  Same region is not the same thing as same site.  Petrie's finding sharpens the problem:  the evolved J takes two conformations, and the OmpF-competent particles are the unstable ones.3  A second fold could present a surface the ancestral protein never presented.  Nobody has looked.

So the honest statement is:  by the site's own taxonomy, gain.  By Behe's stated rule, modification if and only if a structural fact holds that has not been tested.  This article records the gain, records his rule, and records that the test is missing.  It does not pretend his rule is arbitrary, and it does not pretend it has been satisfied.

What the case shows about extrapolation.  Something on the order of 108 to 1011 virus generations, in 10 ml of sugar water, bought four substitutions in one protein and one new binding partner.  Every step paid on the old function, and the new target was the closest structural analogue of the old target available anywhere in the host cell.  The switch is real, it is a gain, and it is small:  four nucleotides, no new gene, no new protein, no new part.

The extrapolation question is what this licenses.  It licenses the claim that multi-step changes are cheap when the steps pay.  It does not license the claim that multi-step changes are cheap in general, because the case contains no measurement of how often steps pay.  On the contrary, it documents the opposite in the same system:  72 of 96 populations failed inside 20 days, host manYZ mutations closed the path entirely, and starting the same experiment on a resistant host produced nothing in 12 tries.9  The path was narrow and the environment had to move through it in order.

The strongest objection to the design reading, stated and answered.  A skeptic will say the design argument assumes intermediates are usually neutral or harmful, that this case shows they can be beneficial, and that the assumption is therefore unwarranted.  The first two clauses are correct.  The third is not quite:  the assumption is unproven, not disproven, and the same is true of its opposite.  Neither side has a census.  What exists are individual cases:  lambda, where the intermediates paid;  and chloroquine resistance, where the first step confers no chloroquine transport and two specific changes are needed before any appears.16  Behe's own 2019 writing names that case as the exception where no gene was available to be usefully degraded.  The argument turns on the frequency, and the frequency is unmeasured.  Saying so is not a dodge;  it is the state of the evidence, and it is the reason the Benchmarking Evolution series counts what was searched rather than arguing from principle.

Objections and responses

"The four mutations were coordinated, which is what Behe said cannot happen."  They were not coordinated.  They are jointly required for the new receptor and were acquired one at a time under selection for the old one.  Four sources establish this, two of them by direct fitness measurement.  Any presentation of this case as a multi-mutation jump is wrong, whichever side makes it.

"Nothing new was created;  the phage already bound a porin and was tweaked to bind a similar porin."  This is Behe's reply and it is the strongest one available.  It is half right.  The two receptors are the closest structural pair in the host, and the mutations sit in the region that already did the binding.  But the phage now does something it could not do:  infect a cell with no LamB at all.  Calling that a tweak requires the claim that the binding happens at the same site on J, and that claim rests on inference from retained LamB binding, not on a structure.

"The bacteria only got worse, so this is net loss."  Partly true and worth keeping.  The host broke malT and, in many flasks, manY or manZ.  Those are losses, and they were adaptive.  But the malT mutation was beneficial in glucose even without phage, so scoring it purely as a cost to the bacterium is wrong.11  And "the community's ledger is net negative" is a different claim from "the phage gained nothing."  The phage gained something.  The series scores molecules, then reports the effect on the organism beside it, precisely so that these two questions stay separate.

"Only 24 of 96 succeeded, so the innovation is rare."  It is contingent rather than rare.  The supplement notes that no population found it early, which is what a four-step requirement predicts, and that the rate of new successes fell late in the run as bacteria evolved the blocking mutations.11  A quarter of replicate flasks finding the same solution in under three weeks is high repeatability, not rarity.  High repeatability also tells against a large target:  the same four changes, in the same order of magnitude of time, in every winner.

"This is a laboratory artefact;  the conditions were rigged."  They were designed, which is different.  Meyer chose glucose because it suppresses LamB, and predicted that reduced LamB would favour a phage that could use something else.  Two facts argue against dismissing the result.  The receptor region of J is the most variable and fastest-evolving part of the protein among wild lambdoid phage, and in-frame insertions and deletions cluster at the same two critical residues, which suggests host-range shifting is what this region does in nature.12  Against that, the specific substitutions found in the laboratory are not common in the natural homologues, so the experiment predicted where change would happen and not what change.12  That half is comparative inference, not observation.

"A virus is not a good model for anything larger."  True and it works against the extrapolation in both directions.  Lambda has 48,502 bases, a mutation rate per base about 140 times that of E. coli, and a population in one flask larger than the number of mammals in a large country.13  A change this cheap for lambda is not this cheap for a mammal, which is the series thesis.  It is equally true that a virus tail fibre binding an outer-membrane porin is a softer problem than a protein complex inside a cell, which is what Behe's chapter 7 estimate was about.  The case belongs in the ledger as a measured data point, not as a refutation of anyone's number.

"Lenski called it irreducibly complex, so Darwin's Black Box is refuted."  Lenski's point is fair on the definition's words:  remove one of the four and the OmpF function stops.  But the demonstration shows how the term fails as an argument, not that lambda is the machine Behe had in mind.  Four residues in one protein is not a flagellum, and the interesting question was never whether all-or-none function exists;  it is whether such functions can be reached, and that depends on the intermediates.

Issues and unanswered questions

  1. Where does OmpF bind J? No structure exists for J bound to either receptor. This single measurement would settle whether the change is a gain or a modification under Behe's own published rule. It is the most valuable missing experiment in the case.
  2. The published Science pagination of Meyer 2012 was not obtained. The article's locators are pages of the PubMed Central author manuscript, which carries identical text. Every footnote says so.
  3. Phage densities in the 96-flask experiment were never tabulated. The ledger uses the main text's 106 to 107 per ml, measured in the six-flask experiment, and Gupta's round 6.3 × 109 per population. A per-flask census would narrow the ledger by three orders of magnitude.
  4. Meyer 2012 gives the range of emergence as 9 to 17 days; Burmeister 2016 gives 9 to 18. The article follows the primary.
  5. No young-earth source appears to have written about this experiment. Searches of creation.com, Answers in Genesis and ICR found nothing on lambda and OmpF. The design-side primary literature here is Behe's two posts.
  6. The unique-functional-sequence figure counts only the four substitutions. The earlier LamB improvements are real gains that cannot be converted to a nucleotide count without double counting, so the figure is a lower bound.

Verdict

The OmpF switch is a genuine gain of function, observed from start to finish, worth four nucleotides.  It required four changes in one gene that do nothing for the new receptor until all four are present, and it still evolved in twelve days in a quarter of the flasks, because every one of those changes improved the grip on the receptor the virus already used.  Two of the papers that establish this measured the intermediates directly rather than inferring them.  The catalogue entry that called the four mutations "coordinated" was wrong, and the corrected reading is the interesting one:  jointly required, individually selected, and dependent on the host changing in the right order.

For Behe's argument the case is a narrow loss and not a general one.  It falsifies his prediction that viruses do not learn to enter through new surface proteins, and it falsifies the premise that the three or four changes needed for a new binding interaction must arrive together, in the one binding problem anybody has watched from beginning to end.  It does not touch the CCC or the double CCC, because those concern paths without selectable intermediates, and Behe says himself that this path is not one of those.  His classification of the change as a modification follows from a rule he published two years before the experiment, and hangs on a structural fact nobody has measured.

For the series thesis the case is a fair and slightly uncomfortable data point.  On the order of 108 to 1011 virus generations, in sugar water, bought one new binding partner in one protein, with a target that was the closest structural match in the whole host cell and with every step paid for along the way.  That is cheap.  It is cheap for reasons the experiment documents and does not generalise:  a huge population, a fast mutation rate, a near target, and a moving environment that happened to open the steps in order.  Whether adaptive paths usually have paying intermediates is the question the whole argument turns on, and nobody on either side has measured it.

Closely related work on enzymes rebuilt or redirected under laboratory selection, including Barry Hall's ebg experiments, belongs to Directed Evolution and Protein Engineering.  The later fate of the generalist phage, which split into LamB and OmpF specialists and in some flasks became reproductively isolated, belongs to Observed Speciation.17

Sources


  1. 1.

    Meyer, Justin R. et al.  “Repeatability and Contingency in the Evolution of a Key Innovation in Phage Lambda.”  Science 335(6067):428–432.  Jan 27, 2012.  Read as the PubMed Central author manuscript (NIHMS362453), both the HTML and the 14-page PDF, which carry identical text.  Every page below is an author-manuscript page read from the "Meyer et al. Page N" running head, not a Science page:  the published pagination could not be obtained, since the Science PDF is paywalled and Unpaywall and Semantic Scholar list only the PubMed Central copy.  Exponents are restored from the sense of the text, because the PDF and HTML both flatten superscripts.  Mirror:  PMC

    1. 1a.

      Page 1:  “Natural selection promoted the fixation of mutations in the virus’s host-recognition protein, J, that improved fitness on the original receptor, LamB, and set the stage for other mutations that allowed infection through a new receptor, OmpF.”  “These viral mutations arose only after the host evolved reduced expression of LamB, whereas certain other host mutations prevented the phage from evolving the new function.” ↩

    2. 1b.

      Page 2:  “The mutants arose and fixed within 8 days, generating highly resistant populations (fig. S1), although the phage did not go extinct but instead persisted at densities of about 106 to 107 phage per ml, or about one phage per 102 to 103 host cells (fig. S2).”  Superscripts restored;  both the PDF and the HTML print "106 to 107" and "102 to 103". ↩ ↩ ↩

    3. 1c.

      Page 3:  “Such spots were observed in only one population, but this ability evolved quickly, such that ~0.01% of the phage could infect the lamB-negative mutants by day 8, including the isolate designated EvoC, and the majority did so by day 15.” ↩

    4. 1d.

      Page 3:  “The only host that was resistant to the EvoC isolate was the ompF malT double mutant that lacked expression of both OmpF and LamB (Fig. 1, table S2), indicating that OmpF was the new receptor.” ↩

    5. 1e.

      Page 3:  “This evolved phage could still infect the host strain expressing LamB but not OmpF, indicating that the phage retained the ability to infect through its native receptor (Fig. 1).” ↩

    6. 1f.

      Page 3:  “Although OmpF has the most similar crystal structure to LamB of any E. coli protein determined to date (29), they are not the most similar pair by amino-acid sequence (table S3). This discordance suggests that the overall structure is at least as important for λ binding as the identity of specific amino-acid residues.” ↩ ↩

    7. 1g.

      Page 3:  “There were five mutations in total, and all of them were in the J gene (Fig. 2).” ↩

    8. 1h.

      Page 4:  “As before, only some phage populations (24/96) evolved the ability to use a second receptor. This ability emerged about the same time (median 12 days; range 9–17 days; fig. S4), and all isolates with altered receptor function infected hosts through the OmpF protein.” ↩ ↩ ↩

    9. 1i.

      Page 4:  “In total, there were 241 single nucleotide polymorphisms (SNPs) across the 48 J alleles, but no insertions or deletions (Fig. 3). However, there were only 40 unique mutations because many arose repeatedly in replicate populations.”  “The alleles for phage able to target OmpF had on average 6.63 (± 0.51 95% confidence interval (CI)) SNPs, whereas the phage that required LamB had only 3.42 (± 0.50 95% CI) SNPs.” ↩

    10. 1j.

      Page 4:  “all J alleles from phage able to infect through OmpF had the A-to-G mutation at nucleotide position 3034 and G-to-A mutation at position 3319. Also, all of them had a mutation at either position 3320 or 3321, affecting the same codon (amino-acid residue 1107) as the mutation at position 3319. Finally, all J alleles had at least one mutation between positions 2969 and 2999 (amino-acid residues 990 to 1000).” ↩

    11. 1k.

      Page 4:  “Each of these mutations or classes of mutation was also found in at least one of the phage that retained the ancestral host-range, although none of them had all four together (Fig. 3).” ↩

    12. 1l.

      Page 4:  “The correspondence between the use of the OmpF receptor and the presence of these four mutations, coupled with the observation that phage having only three of the four cannot use OmpF, provides evidence that all four are required for λ to infect through OmpF.” ↩ ↩

    13. 1m.

      Page 4:  “These findings indicate an “all-or-none” form of epistasis among the four mutations responsible for the novel receptor phenotype.” ↩

    14. 1n.

      Page 5:  “In the λ population that evolved to use OmpF in the initial experiment, the A3034G mutation was the fourth and final step, and it was clearly advantageous because it conferred the ability to infect the entire cell population. However, the all-or-none epistasis among the mutations means that selection for that new capacity per se was not responsible for the rise of the three prior mutations. Nonetheless, there are several lines of evidence that selection drove their rise.” ↩

    15. 1o.

      Page 5:  “First, all 248 independent mutations in the 51 sequenced J alleles were non-synonymous, whereas the expected ratio of non-synonymous to synonymous changes is 3.19:1 under the null model for the ancestral J sequence (16).”  “Thus, it is clear that selection acted on the J protein even before the new capacity evolved. This selection presumably improved the interaction of the phage tail fibers with LamB.”  Page 4:  “across both classes of phage, over 97% of the mutations were in the last 25% of the protein (C-terminal end), the region known to interact with LamB (32)”. ↩

  2. 2.

    Burmeister, Alita R. et al.  “Host coevolution alters the adaptive landscape of a virus.”  Proceedings of the Royal Society B 283:20161528.  2016.  CC BY 4.0.  Read as the publisher PDF from PubMed Central, nine pages numbered from 1, with the full text cross-checked against the Europe PMC XML.  Mirror:  PMC

    1. 2a.

      Page 2:  “We know that the four mutations did not arise simultaneously because alleles with subsets of these mutations were sampled at earlier time points”. ↩

    2. 2b.

      Page 2:  “we sampled a single phage isolate from six independently evolved populations exactly four days before the ability to use OmpF was first observed in that population; we confirmed that none of these phages had the ability to infect through OmpF.” ↩

    3. 2c.

      Page 1:  “All six intermediates showed large increases in their adsorption rates on the ancestral host.”  Page 7:  “These data demonstrate that all six of the independently evolved phage genotypes had selective advantages, even before their descendants had gained the ability to use the OmpF receptor.”  “Four of the six evolved intermediate phage genotypes (A12, A7, D9 and G9) were significantly more fit than their common ancestor on the ancestral host cells”.  The first quotation is from the abstract on p. 1. ↩ ↩

  3. 3.

    Petrie, Katherine L. et al.  “Destabilizing mutations encode nongenetic variation that drives evolutionary innovation.”  Science 359(6383):1542–1545.  Mar 30, 2018.  Marked free to read at science.org ("As a service to the community, this article is available for free").  Plain curl is blocked by Cloudflare;  the page was rendered with bin/cdp-fetch.py and saved as sources/papers/petrie-2018_destabilizing-mutations-nongenetic-variation.html.  The publisher HTML has no page numbers, so locators are positions in the four-page report.  The PDF endpoint refused the same session and was not obtained.

    1. 3a.

      Section abstract:  “The mutations destabilize λ particles and cause conformational bistability of J, which yields progeny of multiple phenotypic forms, each proficient at different receptors.” ↩

    2. 3b.

      Section the paragraph on selection for LamB adsorption, after Figure 3:  “As expected, even the last mutation required for the innovation improved binding to the original receptor”.  Section opening paragraph:  “The mutations evolve by natural selection because they accelerate adsorption to the original receptor (LamB) … and later are coopted for OmpF function”.  The omission in the second quotation is a reference number;  the two numbers in that sentence point to Burmeister 2016 and Meyer 2012. ↩ ↩

    3. 3c.

      Section opening paragraph:  “This model cannot explain λ’s evolution because the J gene did not duplicate”.  The model in question is gene duplication and divergence. ↩

  4. 4.

    Behe, Michael J.  “Can't Anybody Here Make Distinctions?”  Evolution News (now Science and Culture Today).  Apr 12, 2019.  Retrieved Sep 27, 2026.  The fourth of Behe's replies to Richard Lenski's blog series on Darwin Devolves, and his only direct answer to the lambda experiment.  Fetched by curl of the evolutionnews.org address, which redirects to scienceandculture.com;  date read from the page's datePublished metadata.  Saved as sources/web/behe-2019b_cant-anybody-here-make-distinctions.html.  Locators are the post's own section headings.

    1. 4a.

      Section Solid and Interesting:  “What’s more, as Lenski’s lab later showed, the mutational pathway simply increased the initial strength of binding to the original protein until it also bound the structurally similar one.”  “the fact that some properties can develop gradually does not mean that all can (such as the book’s major example of chloroquine resistance). Thus the new lambda function is neither irreducibly complex nor beyond the edge of evolution.” ↩ ↩

    2. 4b.

      Section But Not “Gain-of-FCT”:  “I admit to using inexact wording in the 2012 comment.”  “in my classification scheme I would categorize the ability of mutated lambda to bind to OmpF as a “modification of function” precisely because it is using the very same site on the J protein that it uses to bind to LamB. If it used a different area of the protein — one that had not previously been involved in protein binding … — or a protein other than J, then I would call it a “gain-of-FCT.”” ↩ ↩

  5. 5.

    Behe, Michael J.  The Edge of Evolution: The Search for the Limits of Darwinism.  Free Press.  2007.  Wording read from sources/books/behe-2007b_the-edge-of-evolution.epub, which has no page anchors.  Printed pages from the archive.org item isbn_9780743296205 (2007 Free Press hardcover, printdisabled collection), searched with bin/iapdsearch.py.  Leaf-to-page map from BookReaderJSIA.php gives page = leaf − 14;  anchored twice, against the OCR running heads on leaves 150 to 160 and against the p. 59 passage that Luskin 2019 quotes.

    1. 5a.

      Page 60:  “Let’s dub mutation clusters of that degree of complexity—1 in 1020—“chloroquine-complexity clusters,” or CCCs.”  Leaf 74.  The exponent is printed as a superscript;  both the EPUB and the OCR flatten it. ↩

    2. 5b.

      Page 63:  “Put more pointedly, a double CCC is a reasonable first place to draw a tentative line marking the edge of evolution for all of life on earth.”  Leaf 77. ↩

    3. 5c.

      Page 111:  “It happened exactly the way Darwin envisioned, by “numerous [well, two, anyway], successive, slight modifications,” each of which in turn was beneficial.”  Leaf 125;  on hemoglobin C-Harlem. ↩ ↩

    4. 5d.

      Page 134:  “That leaves three or four amino acid changes that might cause trouble if they occur singly. For the Darwinian step in question, they must occur together.”  Leaf 148. ↩ ↩

    5. 5e.

      Page 135:  “Generating a single new cellular protein-protein binding site is of the same order of difficulty or worse than the development of chloroquine resistance in the malarial parasite.”  Leaf 149;  italic in the original. ↩

    6. 5f.

      Page 139:  “If a mutant virus developed the ability to enter other kinds of cells by binding to other kinds of proteins, it might replicate more effectively and thus outcompete its siblings. That hasn’t happened.”  Leaf 153;  written about HIV. ↩ ↩

    7. 5g.

      Page 291:  “So a viral protein that bound a cell surface protein with a modest dissociation constant of one micromolar or better should be sufficient. Micromolar dissociation constants would be expected to be found in a shape-space library of 108 surfaces. That many mutant viruses would be present in a single individual each day.”  Leaf 305, endnote 21 to chapter 7. ↩

  6. 6.

    Lenski, Richard E.  “Evolution goes viral! (And how real science works).”  Telliamed Revisited.  Mar 6, 2019.  Retrieved Sep 27, 2026.  The fourth post of Lenski's series answering Darwin Devolves.  Saved as sources/web/lenski-2019c_evolution-goes-viral.html and tag-stripped locally;  locators are the post's own numbered section.

    1. 6a.

      Section opening:  “In this post, I’ll discuss an experiment that Behe ignores in Darwin Devolves.” ↩

    2. 6b.

      Section IV. Phage lambda evolves a new capability without breaking anything:  “Remember, too, that nothing is broken. These viruses can now use both the original LamB receptor and the alternative OmpF receptor.”  “In other words, the set of all 4 of these mutations was needed to produce this new ability—no subset could do the job.” ↩

    3. 6c.

      Section IV. Phage lambda evolves a new capability without breaking anything:  “The Edge of Evolution, Behe’s second book, claimed that evolution has a hard time making multiple constructive changes, implying the odds are heavily stacked against this occurring. Strike two!! Lambda required four constructive changes to gain the ability to use OmpF, yet dozens of populations in tiny flasks managed to do this in just a few weeks. That’s because the intermediate steps were strongly beneficial to the virus, so that each step along the way proceeded far faster than by random mutation alone.” ↩ ↩

  7. 7.

    Behe, Michael J.  “Experimental evolution, loss-of-function mutations, and 'the first rule of adaptive evolution'.”  Quarterly Review of Biology 85(4):419–445.  2010.  Read from sources/papers/behe-2010_first-rule-adaptive-evolution.pdf, a Wayback copy of the author's Lehigh PDF with printed folios.  PDF page N is printed page 418 + N, confirmed against the running heads.

    1. 7a.

      Page 421:  “It includes point mutations as well as other mutations that have a quantitative effect on a preexisting FCT, increasing or decreasing its strength, for instance, or shifting its activity somewhat (such as allowing a protein to bind a structurally-related ligand at the same site as its normal substrate), but without effectively eliminating it.” ↩

    2. 7b.

      Page 433:  “I classify shifts in ligand preference as “modification-of-function” events if the binding occurs at the same site on the protein, as in the examples discussed here.”  Page 434:  “this view, the functional coded element is the protein binding site, which can be modified either by amino acid substitution directly at the site or elsewhere in the protein. Considered in this way, a functional site is not gained or lost as host preference is altered, but is instead modified.”  The next sentence is split by the page break:  the word "From" ends p. 433 and "this view" opens p. 434. ↩ ↩

  8. 8.

    Behe, Michael J.  “More from Lenski's Lab, Still Spinning Furiously.”  Evolution News (now Science and Culture Today).  Jan 30, 2012.  Retrieved Sep 27, 2026.  Saved as sources/web/behe-2012_more-from-lenskis-lab.html and tag-stripped locally.  The post has no page or section numbers, so locators are paragraph positions counted from the first paragraph of the body.

    1. 8a.

      Paragraph 3:  “Under these conditions the viral binding protein (called “J”) underwent several mutations, apparently to better bind LamB in the fewer cells that produced it. Then, surprisingly, after the viral gene gained a fourth mutation, the viral J protein acquired the ability to bind a different protein on E. coli, called OmpF.” ↩

    2. 8b.

      Paragraph 6:  “As the authors state, however, the mutated viral J protein can still bind to the original protein, LamB, which strongly suggests the same binding site (that is, the same location on the J protein) is being used. It turns out that both LamB and OmpF have similar three-dimensional structures, so that strengthening the binding to one fortuitously led to binding to the other.” ↩ ↩

    3. 8c.

      Paragraph 10:  “It seems Darwinian evolution took a little step sideways and two big steps backwards.” ↩

  9. 9.

    Gupta, Animesh et al.  “Host-parasite coevolution promotes innovation through deformations in fitness landscapes.”  eLife 11:e76162.  2022.  CC BY 4.0.  Read as the eLife PDF from PubMed Central;  locators are that PDF's own "N of 22" footer pages.  Mirror:  PMC

    1. 9a.

      Page 5:  “(960 generations; ~6.3×109 λ particles, Figure 4—figure supplement 1; Meyer et al., 2012) and λ’s intrinsic mutation rate (7.7×10-8 base-1 replication-1) (Drake, 1991).”  Page 15:  “we decided to run the simulation for a somewhat arbitrary amount of time, 960 generations which corresponds to two doublings per hour for the 20-day experiment we are trying to replicate”.  Superscripts restored from the journal XML;  the PDF text layer prints them inline.  These are the authors' simulation inputs, not a per-flask census. ↩ ↩

    2. 9b.

      Page 6:  “We found that the first mutation on the line of descent to OmpF+ required ancestral E. coli to evolve, while the second mutation required malT– E. coli (Figure 3b and c).” ↩

    3. 9c.

      Page 7:  “In line with our expectations, 0 of 12 replicates evolved OmpF use in the malT– treatment, meanwhile 3 out of 12 evolved the innovation in the ancestral treatment (Figure 4a and b).” ↩ ↩ ↩

  10. 10.

    National Center for Biotechnology Information.  “central tail fiber J [Escherichia phage Lambda] (RefSeq NP_040600).”  NCBI Protein.  Jan 11, 2023.  Retrieved Sep 27, 2026.  GenBank flat file fetched by E-utilities and saved as sources/data/ncbi-2023c_lambda-j-protein-np040600.gp.  Burmeister et al. 2016 cite this accession for the J gene.

    1. 10a.

      Line CDS:  “/coded_by="NC_001416.1:15505..18903"”.  1,132 amino acids;  18,903 − 15,505 + 1 = 3,399 nucleotides, which is 1,132 codons plus a stop. ↩ ↩ ↩

  11. 11.

    Meyer, Justin R. et al.  “Supplementary materials for Repeatability and Contingency in the Evolution of a Key Innovation in Phage Lambda.”  Science 335(6067).  2012.  The PubMed Central author-manuscript supplement, fetched with bin/pmcget.py and saved as sources/papers/meyer-2012c_repeatability-contingency-lambda-som.docx.  The file has no page numbers, so locators are its own bold section titles.  Superscripts are lost in the extraction and are restored here from the sense of the text.

    1. 11a.

      Section Evolution experiments:  “Bacteria and phage were cultured together in 50-ml Erlenmeyer flasks, each containing 10 ml of modified M9 medium”.  “We added ~102 phage particles and ~103 bacterial cells to each flask at the start of an experiment.”  “After 24 h, a 100-µl sample of the community was transferred to a flask containing 9.9 ml of fresh medium. The initial experiment ran for 28 days and the large-scale experiment for 20 days. These experiments had 6 and 96 replicate communities, respectively.” ↩ ↩ ↩ ↩ ↩

    2. 11b.

      Section Evolution of malT– mutants:  “However, these mutations are advantageous, even in the absence of phage, in glucose medium for the E. coli strain used in our study (57, 58), probably because they reduce the basal expression of unnecessary gene products. This additional benefit may explain why malT– mutations evolved in the coevolution experiments, rather than mutations in the lamB-encoded receptor that would not have yielded the metabolic cost-savings.” ↩ ↩

    3. 11c.

      Section Time required for λ to target OmpF:  “This capacity evolved in 24 of the 96 replicates.”  “No population evolved the trait early in the experiment, in agreement with the finding that λ requires four mutations to use OmpF. The number of populations evolving the new function also appears to have declined toward the end of the experiment, even though 72 populations still had not evolved that function.”  The λ glyph is dropped by the docx text extraction and is restored here from the sense of the sentence. ↩

    4. 11d.

      Section Growth assays:  “Phage D7 also grew very well on the lamB– bacteria, but none of the other phage could reproduce at all on the mutant cells (fig. S6, bottom panel). These results confirm that all 4 of the canonical mutations are required for the evolved phage to use OmpF as an alternative receptor to LamB.” ↩

  12. 12.

    Maddamsetti, Rohan et al.  “Gain-of-function experiments with bacteriophage lambda uncover residues under diversifying selection in nature.”  Evolution 72(10):2234–2243.  2018.  CC BY-NC-ND 4.0.  Read as the publisher PDF from PubMed Central;  journal pages from the running folio, anchored at "EVOLUTION OCTOBER 2018 2235" and at 2242.  Mirror:  PMC

    1. 12a.

      Page 2237:  “All engineered OmpF+ strains possessed the mutation at residue 1012 as well as G3319A and T3321A mutations at residue 1107 (both are required to change an aspartic acid into a lysine). In contrast to previous observations, some strains lacked a fourth mutation between residues 990 and 1000”. ↩

    2. 12b.

      Page 2237:  “Even though the synthetic phage was viable, it proved unable to exploit cells without the ancestral LamB receptor, demonstrating that at least four J mutations were necessary for OmpF+”.  “this experiment revealed that four mutations are sufficient to evolve the innovation, but only two specific amino acid changes (at residues 1012 and 1107) are universally required to access OmpF in the context of these laboratory experiments.” ↩ ↩

    3. 12c.

      Page 2235:  “The 97% of the substitutions in 24 independently evolved OmpF+ λ phage occurred in the J protein between residues 960—1132, which we call the “specificity region” of J”.  Page 2238:  “This nonrandom clustering of variation in the specificity region strongly suggests that J has experienced substantial diversifying selection on host attachment.” ↩ ↩

    4. 12d.

      Page 2238:  “However, the specific 19 substitutions that evolved at these 17 residues in the laboratory were not common in natural homologs, suggesting that our experiments had the resolution to predict where changes would evolve, but not the exact change”. ↩

  13. 13.

    Drake, John W. et al.  “Rates of spontaneous mutation.”  Genetics 148(4):1667–1686.  1998.  sources/papers/drake-1998_rates-of-spontaneous-mutation.pdf, publisher PDF with printed folios.  Gupta et al. 2022 use the same lambda rate, citing Drake 1991, which this paper updates.  Mirror:  PMC

    1. 13a.

      Page 1670, table 4:  The row for bacteriophage lambda gives genome size 4.9 × 104 bases, mutations per base pair per replication 7.7 × 10-8, and mutations per genome per replication 0.0038.  The row for Escherichia coli in the same table gives 5.4 × 10-10 per base pair per replication, which is where the ratio of about 140 comes from.  Not quoted verbatim, because the PDF text layer renders the times sign as a digit and drops the superscript minus;  the values are read against the table's own column headings.  The table's footnote reads "Values are from Drake (1991), excluding the two well defined outliers and updated slightly as described in the text." ↩ ↩ ↩ ↩

  14. 14.

    National Center for Biotechnology Information.  “Escherichia phage Lambda, complete genome (RefSeq NC_001416).”  NCBI Nucleotide.  Jan 11, 2023.  Retrieved Sep 27, 2026.  GenBank flat file fetched by E-utilities and saved as sources/data/ncbi-2023b_lambda-genome-nc001416.gb.  This is the reference genome the 2012 paper mapped its reads to.

    1. 14a.

      Line LOCUS:  “NC_001416             48502 bp    DNA    linear   PHG 11-JAN-2023”. ↩

  15. 15.

    The ledger arithmetic, so a reader can redo it.  Births.  Each day 1% of a flask is transferred, so the surviving phage must multiply about a hundredfold to refill the flask;  births per flask per day are therefore about one flask-full, and twelve days give about twelve flask-fulls.  Low estimate:  106 per ml × 10 ml × 12 = 1.2 × 108.  High estimate, using Gupta's population size:  6.3 × 109 × 12 = 7.6 × 1010.1 9 11  Mutations.  Genome-wide, births × 0.0038.  In J, births × 3,399 × 7.7 × 10-8.13 10  One specified change.  A given base can change three ways, so the rate of one named substitution is 7.7 × 10-8 ÷ 3 = 2.6 × 10-8;  multiply by births.  Whole experiment.  96 flasks × 20 days × one flask-full per day.  A specified pair or quadruple in a single replication.  Births × (2.6 × 10-8)2 and births × (2.6 × 10-8)4.  These last two are the figures that would apply if no intermediate were selectable, and they are why the stepwise result matters:  the quadruple figure is about 10-20, so a simultaneous four-step jump was out of reach by twenty orders of magnitude.  Unique functional sequence.  4 nucleotides ÷ births per successful flask.  Every input is a published measurement except the births-per-day rule, which follows from the 1% transfer. ↩

  16. 16.

    Summers, Robert L. et al.  “Diverse mutational pathways converge on saturable chloroquine transport via the malaria parasite's chloroquine resistance transporter.”  Proceedings of the National Academy of Sciences 111(17):E1759–E1767.  2014.  Cited here only for the contrast with lambda:  the minimum change that gives any chloroquine transport.  The locator and quotation are those verified for the sibling article Measuring Biological Information, where the full source note lives.

    1. 16a.

      Page E1760:  “the loss of the positive charge (K76T) and the gain of the negative charge (N75E or N326D) are sufficient to confer a low level of CQ transport activity”.  Two specific changes are the least that yields any transport, against four in lambda that yield nothing until all four are present. ↩

  17. 17.

    Meyer, Justin R. et al.  “Ecological speciation of bacteriophage lambda in allopatry and sympatry.”  Science 354(6317):1301–1304.  Nov 24, 2016.  Marked free to read at science.org;  rendered with bin/cdp-fetch.py and saved as sources/papers/meyer-2016b_ecological-speciation-lambda.html.  The publisher HTML carries no page numbers, so locators are positions in the report.

    1. 17a.

      Section abstract:  “When supplied with either single host (allopatry), phage λ improved its binding to the available receptor while losing its ability to use the alternative. When evolving on both hosts together (sympatry), the viruses split into two lineages with divergent receptor preferences.”  The starting strain is EvoC, the generalist isolated in the 2012 experiment. ↩