The amplification model for adaptive mutation: simulations and analysis

It has been proposed that the lac revertants arising under selective conditions in the Cairns experiment do not arise by stress-induced mutagenesis of stationary phase cells as has been previously assumed. Instead, these revertants may arise within growing clones initiated by cells with a preexisting duplication of the weakly functional lac allele used in this experiment. It is proposed that spontaneous stepwise increases in lac copy number (amplification) allow a progressive improvement in growth. Reversion is made more likely primarily by the resultant increase in the number of mutational targets--more cells with more lac copies. The gene amplification model requires no stress-induced variation in the rate or target specificity of mutation and thus does not violate neo-Darwinian theory. However, it does require that a multistep process of amplification, reversion, and amplification segregation be completed within approximately 20 generations of growth. This work examines the proposed amplification model from a theoretical point of view, formalizing it into a mathematical framework and using this to determine what would be required for the process to occur within the specified period. The analysis assumes no stress-induced change in mutation rate and describes only the growth improvement occurring during the process of amplification and subsequent elimination of excess mutant lac copies. The dynamics of the system are described using Monte Carlo simulations and numerical integration of the deterministic equations governing the system. The results imply that the amplification model can account for the behavior of the system using biologically reasonable parameter values and thus can, in principle, explain Cairnsian adaptive mutation.     

Regulating general mutation rates: examination of the hypermutable state model for Cairnsian adaptive mutation

In the lac adaptive mutation system of Cairns, selected mutant colonies but not unselected mutant types appear to arise from a nongrowing population of Escherichia coli. The general mutagenesis suffered by the selected mutants has been interpreted as support for the idea that E. coli possesses an evolved (and therefore beneficial) mechanism that increases the mutation rate in response to stress (the hypermutable state model, HSM). This mechanism is proposed to allow faster genetic adaptation to stressful conditions and to explain why mutations appear directed to useful sites. Analysis of the HSM reveals that it requires implausibly intense mutagenesis (10(5) times the unselected rate) and even then cannot account for the behavior of the Cairns system. The assumptions of the HSM predict that selected revertants will carry an average of eight deleterious null mutations and thus seem unlikely to be successful in long-term evolution. The experimentally observed 35-fold increase in the level of general mutagenesis cannot account for even one Lac(+) revertant from a mutagenized subpopulation of 10(5) cells (the number proposed to enter the hypermutable state). We conclude that temporary general mutagenesis during stress is unlikely to provide a long-term selective advantage in this or any similar genetic system.     

The effect of genomic position on reversion of a lac frameshift mutation (lacIZ33) during non-lethal selection (adaptive mutation)

In a system described by Cairns and Foster, starvation of a particular leaky lac mutant (lacIZ33) in the presence of lactose appears to direct mutation in non-growing cells to sites that allow growth (adaptive mutation). This behaviour requires that the lac operon be located on an F' plasmid. This position effect was investigated by placing the mutant lac operon at many sites in the genome of Salmonella enterica (Typhimurium; LT2) and testing reversion behaviour. Genomic position did not affect reversion during non-selective growth. When lac was at any of 550 chromosomal sites, starvation caused little or no enhancement of reversion. In the 28 strains with the lac on Salmonella's conjugative plasmid (pSLT), selection enhanced reversion strongly, just as seen for strains with lac on an F' plasmid. In 46 strains, the lac operon was inserted within a small chromosomal duplication, and selection stimulated RecA-dependent partial reversion by simple amplification (about 8x) of the mutant lac region. The position of lac on a conjugative plasmid is important to reversion because it allows more frequent gene duplication and amplification. These events are central to growth and reversion under selection because they increase the number of replicating lac alleles within each developing revertant clone.     

Amplification of lac cannot account for adaptive mutation to Lac+ in Escherichia coli

When the Lac- strain of Escherichia coli, FC40, is incubated with lactose as its sole carbon and energy source, Lac+ revertants arise at a constant rate, a phenomenon known as adaptive mutation. Two alternative models for adaptive mutation have been proposed: (i) recombination-dependent mutation, which specifies that recombination occurring in nongrowing cells stimulates error-prone DNA synthesis, and (ii) amplification-dependent mutation, which specifies that amplification of the lac region and growth of the amplifying cells creates enough DNA replication to produce mutations at the normal rate. Here, we examined several of the predictions of the amplification-dependent mutation model and found that they are not fulfilled. First, inhibition of adaptive mutation by a gene that is toxic when overexpressed does not depend on the proximity of the gene to lac. Second, mutation at a second locus during selection for Lac+ revertants is also independent of the proximity of the locus to lac. Third, mutation at a second locus on the episome occurs even when the lac allele under selection is on the chromosome. Our results support the hypothesis that most Lac+ mutants that appear during lactose selection are true revertants that arise in a single step from Lac- cells, not from a population of growing or amplifying precursor cells.     

Effect of growth under selection on appearance of chromosomal mutations in Salmonella enterica

Populations adapt physiologically using regulatory mechanisms and genetically by means of mutations that improve growth. During growth under selection, genetic adaptation can be rapid. In several genetic systems, the speed of adaptation has been attributed to cellular mechanisms that increase mutation rates in response to growth limitation. An alternative possibility is that growth limitation serves only as a selective agent but acts on small-effect mutations that are common under all growth conditions. The genetic systems that initially suggested stress-induced mutagenesis have been analyzed without regard for multistep adaptation and some include features that make such analysis difficult. To test the selection-only model, a simpler system is examined, whose behavior was originally attributed to stress-induced mutagenesis (Yang et al. 2001, 2006). A population with a silent chromosomal lac operon gives rise to Lac+ revertant colonies that accumulate over 6 days under selection. Each colony contains a mixture of singly and doubly mutant cells. Evidence is provided that the colonies are initiated by pre-existing single mutants with a weak Lac+ phenotype. Under selection, these cells initiate slow-growing clones, in which a second mutation arises and improves growth of the resulting double mutant. The system shows no evidence of general mutagenesis during selection. Selection alone may explain rapid adaptation in this and other systems that give the appearance of mutagenesis.     

Plasmid Copy Number Underlies Adaptive Mutability in Bacteria

The origin of mutations under selection has been intensively studied using the Cairns-Foster system, in which cells of an Escherichia coli lac mutant are plated on lactose and give rise to 100 Lac⁺ revertants over several days. These revertants have been attributed variously to stress-induced mutagenesis of nongrowing cells or to selective improvement of preexisting weakly Lac⁺ cells with no mutagenesis. Most revertant colonies (90%) contain stably Lac⁺ cells, while others (10%) contain cells with an unstable amplification of the leaky mutant lac allele. Evidence is presented that both stable and unstable Lac⁺ revertant colonies are initiated by preexisting cells with multiple copies of the F′lac plasmid, which carries the mutant lac allele. The tetracycline analog anhydrotetracycline (AnTc) inhibits growth of cells with multiple copies of the tetA gene. Populations with tetA on their F′lac plasmid include rare cells with an elevated plasmid copy number and multiple copies of both the tetA and lac genes. Pregrowth of such populations with AnTc reduces the number of cells with multiple F′lac copies and consequently the number of Lac⁺ colonies appearing under selection. Revertant yield is restored rapidly by a few generations of growth without AnTc. We suggest that preexisting cells with multiple F′lac copies divide very little under selection but have enough energy to replicate their F′lac plasmids repeatedly until reversion initiates a stable Lac⁺ colony. Preexisting cells whose high-copy plasmid includes an internal lac duplication grow under selection and produce an unstable Lac⁺ colony. In this model, all revertant colonies are initiated by preexisting cells and cannot be stress induced.     

A comparison of mathematical model predictions to experimental measurements for growth and recombinant protein production in induced cultures of Escherichia coli

Recombinant cell growth and protein synthesis by a recombinant Escherichia coli under various inducing conditions are compared to the predictions of a mathematical model. The mathematical model used was a combination of two literature models: (1) an empirical kinetic model for recombinant growth and product formation and (2) a genetically structured model of the lac promoter-operator on a multicopy plasmid. The experimental system utilized was recombinant E. coli CSH22 bearing the temperature-sensitive plasmid pVH106/172, which codes for the synthesis of beta-galactosidase and the other lac operon genes under the control of a lac promoter. Mathematical model predictions for recombinant beta-galactosidase yield and specific growth rate were compared with fermentation measurements of these same quantities for conditions of chemical induction with cyclic AMP and IPTG, copy number amplification (by shifting culture temperature), and combined chemical induction and copy number amplification. The model successfully predicted experimental product yields for most cases of chemical induction even though the product yields varied from 0.34 x 10(3) to 1500 x 10(3) units/g cell mass. The kinetic model also correctly predicted a decline in the specific growth rate with increasing levels of plasmid and recombinant protein. The model was less successful at predicting product amplification at high copy numbers. A comparison of model predictions and experimental results was also used to investigate some of the assumptions used in constructing the mathematical models.     

Spontaneous Point Mutations That Occur More Often When Advantageous than When Neutral

Recent reports have called into question the widespread belief "that mutations arise continuously and without any consideration for their utility" (in the words of J. Cairns) and have suggested that some mutations (which Cairns called "directed" mutations) may occur as specific responses to environmental challenges, i.e., they may occur more often when advantageous than when neutral. In this paper it is shown that point mutations in the trp operon reverted to trp+ more frequently under conditions of prolonged tryptophan deprivation when the reversions were advantageous, than in the presence of tryptophan when the reversions were neutral. The overall mutation rate, as determined from the rates of mutation to valine resistance and to constitutive expression of the lac operon, did not increase during tryptophan starvation. The trp reversion rate did not increase when the cells were starved for cysteine for a similar period, indicating that the increased reversion rate was specific to conditions where the reversions were advantageous. Two artifactual explanations for the observations, delayed growth of some preexisting revertants and cryptic growth by some cells at the expense of dying cells within aged colonies, were tested and rejected as unlikely. The trp+ reversions that occurred while trp- colonies aged in the absence of tryptophan were shown to be time-dependent rather than replication-dependent, and it is suggested that they occur by mechanisms different from those that have been studied in growing cells. A heuristic model for the molecular basis of such mutations is proposed and evidence consistent with that model is discussed. It is suggested that the results in this and previous studies can be explained on the basis of underlying random mechanisms that act during prolonged periods of physiological stress, and that "directed" mutations are not necessarily the basis of those observations.     

The joys and terrors of fast adaptation: new findings elucidate antibiotic resistance and natural selection

Experiments of Pränting and Andersson demonstrate how bacteria adapt to the growth limitation caused by antibiotic resistance mutations. The process of adaptation relies on gene copy number changes that arise at high rates, including duplications (10^?4 per cell per generation), amplifications (10^?2 per cell per generation) and mutant copy loss (10^?2 per cell per division). Reversible increases in copy number improve growth by small steps and provide more targets for rare sequence alterations (10^?9 per cell per division) that can stably improve growth. After sequence alteration, selection favours loss of the still mutant gene copies that accelerated adaptation. The results strongly support the amplification‐reversion model for fast adaptation and argue against the alternative idea of ‘stress‐induced mutagenesis’.     

Spontaneous mutagenesis in exponentially growing and stationary-phase, umuDC-proficient and -deficient, Escherichia coli dnaQ49

Spontaneous mutations arise not only in exponentially growing bacteria but also in non-dividing or slowly dividing stationary-phase cells. In the latter case mutations are called adaptive or stationary-phase mutations. High spontaneous mutability has been observed in temperature sensitive Escherichia coli dnaQ49 strain deficient in 3'-->5' proofreading activity assured by the e subunit of the main replicative polymerase, Pol III. The aim of this study was to evaluate the effects of the dnaQ49 mutation and deletion of the umuDC operon encoding polymerase V (Pol V) on spontaneous mutagenesis in growing and stationary-phase E. coli cells. Using the argE3(OC) -->Arg+ reversion system in the AB1157 strain, we found that the level of growth-dependent and stationary-phase Arg+ revertants was significantly increased in the dnaQ49 mutant at the non-permissive temperature of 37 degrees C. At this temperature, in contrast to cultures grown at 28 degrees C, SOS functions were dramatically increased. Deletion of the umuDC operon in the dnaQ49 strain led to a 10-fold decrease in the level of Arg+ revertants in cultures grown at 37 degrees C and only to a 2-fold decrease in cultures grown at 28 degrees C. Furthermore, in stationary-phase cultures Pol V influenced spontaneous mutagenesis to a much lesser extent than in growing cultures. Our results indicate that the level of Pol III desintegration, dependent on the temperature of incubation, is more critical for spontaneous mutagenesis in stationary-phase dnaQ49 cells than the presence or absence of Pol V.     

UNG-dependent correction of molecular heteroduplexes of M13 phage DNA in Escherichia coli cells

Correction of heteroduplex DNA obtained by hybridization of uracil-containing single-stranded M13mp18 phage DNA and "mutant" synthetic oligonucleotide with deletion of cytosine in SalGI site was studied in ung+ and ung- E. coli strains. Uracil-containing DNA was prepared after growth of phage in an E. coli strain dut- ung-. The DNA was hybridized with "mutant" oligonucleotide then complementary DNA chain was synthesized by T4 DNA polymerase. Ung+ and ung- E. coli cells were transformed by DNA. In all experiments mutation frequency in ung+ was higher than in ung- cells (approximately 6-fold) and reached 11-50%. Absolute number of mutants was higher in ung+ cells. The results indicate that high level of mutagenesis depends on uracil repair system polarizing the correction of heteroduplex DNA.     

In pursuit of a molecular mechanism for adaptive gene amplification

"Adaptive" or "stationary-phase" mutation is a collection of apparent stress responses in which cells exposed to a growth-limiting environment generate genetic changes, some of which can allow resumption of rapid growth. In the well-characterized Lac system of Escherichia coli, reversions of a lac frameshift allele give rise to adaptive point mutations. Also in this system, adaptive gene amplification has been documented as a separate and parallel response that allows growth on lactose medium without acquisition of a compensatory frameshift mutation. In amplification, the DNA region containing the weakly functional lac allele becomes amplified to multiple copies, which produce sufficient enzyme activity to allow growth on the otherwise growth-limiting lactose medium. The amplifications are "adaptive" in that they occur after cells encounter the growth-limiting environment. Adaptive amplification is a reversible genetic change that allows adaptation and growth. It may be similar to chromosomal instability observed in the origins and progression of many cancers. We explore possible molecular mechanisms of adaptive amplification in the bacterial system and note parallels to chromosomal instability in other systems.     

大肠杆菌FC40系统静止期突变中的F因子转移

本研究采用大肠杆菌GM133 rifr细胞和营养收集细胞HB214 strr进行适应性突变实验。在混合30min和2d 后添加链霉素杀死GM133基因型细胞,继续培养5d后,在选择平板上出现了一定数量的lac+strr基因型回复突变菌落。根据这些突变菌落的数量,估计在lac+突变产生之前,GM133和HB214细胞之间的接合频率分别为0.07%和7.47%。在培养了7d的选择平板上添加含链霉素的M9选择培养基,2d 后也观察到大量发生lac+突变但没有形成肉眼可见菌落的营养收集细胞。此外,在lac+突变发生后,也有F因子从GM133细胞转移进入HB214细胞。这些事实表明,在FC40系统的适应性突变实验中发生了真正的F因子转移。 Abstract:The experiment of adaptive mutation was performed by using Escherichia coli GM133 rifr as test cells and HB214 strr as scavenger cells.Transfer frequency between GM133 and HB214 was estimated,based on the number of revertants appeared on the selective plates when GM133 were killed by addition of M9 selective medium containing 100μg/mL of streptomycin at different time.After 30 minutes the cells of GM133 and HB214 were mixed,the estimated transfer frequency was about 0.07%,and two days,7.47%.After selection of 7 days,some HB214 cells with F` factor from GM133 cells and lac+ mutation were observed,but these cells failed to form the colonies which can be seen by the naked-eye.It was demonstrated that actual F` factor transfer events from test cells GM133 to scavenger cells HB214 occurred during the selection.     

Adaptive amplification and point mutation are independent mechanisms: evidence for various stress-inducible mutation mechanisms

“Adaptive mutation” denotes a collection of processes in which cells respond to growth-limiting environments by producing compensatory mutants that grow well, apparently violating fundamental principles of evolution. In a well-studied model, starvation of stationary-phase lac⁻ Escherichia coli cells on lactose medium induces Lac⁺ revertants at higher frequencies than predicted by usual mutation models. These revertants carry either a compensatory frameshift mutation or a greater than 20-fold amplification of the leaky lac allele. A crucial distinction between alternative hypotheses for the mechanisms of adaptive mutation hinges on whether these amplification and frameshift mutation events are distinct, or whether amplification is a molecular intermediate, producing an intermediate cell type, in colonies on a pathway to frameshift mutation. The latter model allows the evolutionarily conservative idea of increased mutations (per cell) without increased mutation rate (by virtue of extra gene copies per cell), whereas the former requires an increase in mutation rate, potentially accelerating evolution. To resolve these models, we probed early events leading to rare adaptive mutations and report several results that show that amplification is not the precursor to frameshift mutation but rather is an independent adaptive outcome. (i) Using new high-resolution selection methods and stringent analysis of all cells in very young (micro)colonies (500–10,000 cells), we find that most mutant colonies contain no detectable lac-amplified cells, in contrast with previous reports. (ii) Analysis of nascent colonies, as young as the two-cell stage, revealed mutant Lac⁺ cells with no lac-amplified cells present. (iii) Stringent colony-fate experiments show that microcolonies of lac-amplified cells grow to form visible colonies of lac-amplified, not mutant, cells. (iv) Mutant cells do not overgrow lac-amplified cells in microcolonies fast enough to mask the lac-amplified cells. (v) lac-amplified cells are not SOS-induced, as was proposed to explain elevated mutation in a sequential model. (vi) Amplification, and not frameshift mutation, requires DNA polymerase I, demonstrating that mutation is separable from amplification, and also illuminating the amplification mechanism. We conclude that amplification and mutation are independent outcomes of adaptive genetic change. We suggest that the availability of alternative pathways for genetic/evolutionary adaptation and clonal expansion under stress may be exploited during processes ranging from the evolution of drug resistance to cancer progression.     

Cloning, characterization, and effects of overexpression of the Escherichia coli rnd gene encoding RNase D.

RNase D is a 3'-exoribonuclease whose in vitro specificity has suggested that it is involved in the processing of tRNA precursors. Its in vivo role has remained unclear, however, because mutant cells devoid of the enzyme display no defect in growth or tRNA processing. To learn more about the structure and function of RNase D, we cloned the Escherichia coli rnd gene, which is thought to code for this enzyme. The rnd gene was isolated from a cosmid library based on elevated RNase D activity and was subcloned as a 1.4-kilobase-pair fragment in pUC18. Maxicell analysis of the cloned fragment revealed that a single protein of approximately 40 kilodaltons, which is the size of RNase D, was synthesized. The rnd gene is present as a single copy on the E. coli chromosome and is totally absent in a deletion mutant. Cells that harbored the cloned rnd gene displayed RNase D activity that was elevated as much as 20-fold over that of the wild type. As growth of the culture progressed, however, RNase D specific activity declined dramatically, together with a similar decrease in plasmid copy number. In contrast, no decrease in copy number was observed with an inactive rnd gene. Placement of the rnd gene downstream from the lac promoter led to inducible RNase D overexpression and concomitantly slowed cell growth. These findings support the idea that rnd is the structural gene for RNase D and indicate that elevated RNase D activity is deleterious to E. coli.     

Reversion of Q beta RNA phage mutants by homologous RNA recombination.

Q beta phage RNAs with inactivating insertion (8-base) or deletion (17-base) mutations within their replicase genes were prepared from modified Q beta cDNAs and transfected into Escherichia coli spheroplasts containing Q beta replicase provided in trans by a resident plasmid. Replicase-defective (Rep-) Q beta phage produced by these spheroplasts were detected as normal-sized plaques on lawns of cells containing plasmid-derived Q beta replicase, but were unable to form plaques on cells lacking this plasmid. When individual Rep- phage were isolated and grown to high titer in cells containing plasmid-derived Q beta replicase, revertant (Rep+) Q beta phage were obtained at a frequency of ca. 10(-8). To investigate the mechanism of this reversion, a point mutation was placed into the plasmid-derived Q beta replicase gene by site-directed mutagenesis. Q beta mutants amplified on cells containing the resultant plasmid also yielded Rep+ revertants. Genomic RNA was isolated from several of the latter phage revertants and sequenced. Results showed that the original mutation (insertion or deletion) was no longer present in the phage revertants but that the marker mutation placed into the plasmid was now present in the genomic RNAs, indicating that recombination was one mechanism involved in the reversion of the Q beta mutants. Further experiments demonstrated that the 3' noncoding region of the plasmid-derived replicase gene was necessary for the reversion-recombination of the deletion mutant, whereas this region was not required for reversion or recombination of the insertion mutant. Results are discussed in terms of a template-switching model of RNA recombination involving Q beta replicase, the mutant phage genome, and plasmid-derived replicase mRNA.     

Formation of an F' plasmid by recombination between imperfectly repeated chromosomal Rep sequences: a closer look at an old friend (F'(128) pro lac)

Plasmid F'(128) was formed by an exchange between chromosomal Rep sequences that placed lac near dinB between many pairs of Rep sequences. Plasmid F'(128) is critical for selection-enhanced lac reversion (adaptive mutation), which requires prior lac amplification. The structure of F'(128) supports the idea that amplification is initiated by Rep-Rep recombination and that general mutagenesis requires coamplification of dinB (error-prone polymerase) with lac.