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PubMed2001

Improved inference of mutation rates: I. An integral representation for the Luria-Delbrück distribution.

The estimation of mutation rates is ordinarily performed using results based on the Luria-Delbrück distribution. There are certain difficulties associated with the use of this distribution in practice, some of which we address in this paper (others in the companion paper, Oprea and Kepler, Theor. Popul. Biol., 2001). The distribution is difficult to compute exactly, especially for large values of the random variable. To overcome this problem, we derive an integral representation of the Luria-Delbrück distribution that can be computed easily for large culture sizes. In addition, we introduce the usual assumption of very small probability of having a large proportion of mutants only after the generating function has been computed. Thus, we obtain information on the moments for the more general case. We examine the asymptotic behavior of this system. We find a scaling or "standardization" technique that reduces the family of distributions parameterized by three parameters (mutation rate, initial cell number, and final cell number) to a single distribution with no parameters, valid so long as the product of the mutation rate and the final culture is sufficiently large. We provide a pair of techniques for computing confidence intervals for the mutation rate. In the second paper of this series, we use the distribution derived here to find approximate distributions for the case where the cell cycle time is not well-described as an exponential random variable as is implicitly assumed by Luria-Delbrück distribution.

Cell Cycle↗
PubMed1997

Mutation rates as adaptations.

In order to better understand life, it is helpful to look beyond the envelop of life as we know it. A simple model of coevolution was implemented with the addition of a gene for the mutation rate of the individual. This allowed the mutation rate itself to evolve in a lineage. The model shows that when the individuals interact in a sort of zero-sum game, the lineages maintain relatively high mutation rates. However, when individuals engage in interactions that have greater consequences for one individual in the interaction than the other, lineages tend to evolve relatively low mutation rates. This model suggests that one possible cause for differential mutation rates across genes may be the coevolutionary pressure of the various forms of interactions with other genes.

Adaptation, Physiological↗
PubMed2003

Mutation rates: estimating phase variation rates when fitness differences are present and their impact on population structure.

Phase variation is a mechanism of ON-OFF switching that is widely utilized by bacterial pathogens. There is currently no standardization to how the rate of phase variation is determined experimentally, and traditional methods of mutation rate estimation may not be appropriate to this process. Here, the history of mutation rate estimation is reviewed, describing the existing methods available. A new mathematical model that can be applied to this problem is also presented. This model specifically includes the confounding factors of back-mutation and the influence of fitness differences between the alternate phenotypes. These are central features of phase variation but are rarely addressed, with the result that some previously estimated phase variation rates may have been significantly overestimated. It is shown that, conversely, the model can also be used to investigate fitness differences if mutation rates are approximately known. In addition, stochastic simulations of the model are used to explore the impact of 'jackpot cultures' on the mutation rate estimation. Using the model, the impact of realistic rates and selection on population structure is investigated. In the absence of fitness differences it is predicted that there will be phenotypic stability over many generations. The rate of phenotypic change within a population is likely, therefore, to be principally determined by selection. A greater insight into the population dynamics of mutation rate processes can be gained if populations are monitored over successive time points.

Bacteria↗
PubMed2002

Truly hypervariable DNA fingerprints due to exceptionally high mutation rates.

The power of DNA fingerprinting is due to comparatively high mutation rates of minisatellite and microsatellite DNA sequences. Studying the mating system of a parrot species (Burrowing Parrots, Cyanoliseus patagonus) using oligonucleotide probes, we observed mutation rates that are several orders of magnitude higher than those described anywhere in the literature. Most plausibly, the respective values are based on 3-4 loci with mutation rates of up to 100%.

Animals↗
PubMed2000

The interaction of vpr with uracil DNA glycosylase modulates the human immunodeficiency virus type 1 In vivo mutation rate.

The Vpr protein of human immunodeficiency virus type 1 (HIV-1) influences the in vivo mutation rate of the virus. Since Vpr interacts with a cellular protein implicated in the DNA repair process, uracil DNA glycosylase (UNG), we have explored the contribution of this interaction to the mutation rate of HIV-1. Single-amino-acid variants of Vpr were characterized for their differential UNG-binding properties and used to trans complement vpr null mutant HIV-1. A striking correlation was established between the abilities of Vpr to interact with UNG and to influence the HIV-1 mutation rate. We demonstrate that Vpr incorporation into virus particles is required to influence the in vivo mutation rate and to mediate virion packaging of the nuclear form of UNG. The recruitment of UNG into virions indicates a mechanism for how Vpr can influence reverse transcription accuracy. Our data suggest that distinct mechanisms evolved in primate and nonprimate lentiviruses to reconcile uracil misincorporation into lentiviral DNA.

Animals↗
PubMed2005

[Equilibrium between genetic drift and migration at various mutation rates: simulation analysis].

Rates of approach to equilibrium values of F(ST)/R(ST) at various mutation rates and using different mutation models (K-allele model KAM and stepwise model SMM) were analyzed numerically for the finite island model and the one-dimensional stepping stone models of migration, using simulation. In the island model of migration and the KAM mutation model, the rate of approach to the equilibrium F(ST) value was appreciably higher and the equilibrium value was almost twofold lower at micro (mutation rate) = m (migration rate) than at micro << m. In the one-dimensional stepping stone model of migration and the KAM model of mutation, the mutation rate significantly affected both the rate of approaching F(ST) equilibrium and the equilibrium value. In both island and one-dimensional stepping stone models and SMM, R(ST) was not influenced by various mutation rates. The rate of approach to the equilibrium values of both F(ST) and R(ST) was lower for the stepping stone model than to the island model. RST was rather resistant to deviations from the SMM mutation model.

Genetic Drift↗
PubMed1981

Evolution of the mutation rate at a heterotic locus.

A diffusion model of the modification of mutation rates at a heterotic locus in a finite population is examined. An asymptotic analysis assuming strong selection and weak linkage shows that selection can operate on mutation rates in this setting. There exists a favored mutation rate which is a function only of the equilibrium allele frequency of the heterotic locus and the population size. It is independent of the strength of selection at the heterotoxic locus. Computer simulations are also provided to show that this form of natural selection can occur.

Biological Evolution↗
PubMed1985

Rapid change in mutation rate in a local population of Drosophila melanogaster.

The lethal and detrimental loads per second chromosome rapidly increased from 1968 to 1970 in a local population of Drosophila melanogaster in Japan (lethal load, from about 0.16 to 0.38; detrimental load, from 0.125 to 0.231 [Watanabe, T. K., Watanabe, T. & Oshima, C. (1976) Evolution 30, 109-118]). When the homozygous loads were measured in 1983, the lethal load had decreased to approximately the original amount (0.19) but the detrimental load had stayed high (0.241). The rise and fall of the lethal load can be accounted for by a P-type element that invaded a population with M cytotype, producing a high mutation rate. The mutation rate fell back to the earlier value after the cytotype became P. That the detrimental load did not decrease can be explained by assuming a longer persistence for detrimental mutations in the population. Evidence for a P-type mutator factor is that the mutation rate of the wild-type chromosomes differs between the different cytoplasmic and chromosomal backgrounds, being lower in the background from which the chromosomes were taken.

Animals↗
PubMed1993

A molecular approach to estimating the human deleterious mutation rate.

We propose a method of measuring the human genomic deleterious mutation rate based on comparison of the rate of evolution per nucleotide per generation of neutral sequences, microN, with the overall rate of evolution of unique sequence DNA, microO. Data on microN, which are based on pseudogenes, permit an estimate of the total zygotic (twice the genomic) mutation rate, UT = 2 microNn = 2(2 x 10(-8)(3 x 10(9)) approximately 10(2), where n is the number of nucleotides per genome. Data on microO can be obtained by comparison of representative samples of relatively short homologous sequences from the genomes of Homo and a related species. The fraction of the genome that is controlled by negative selection is fS = (microN - microO)/microN and the deleterious zygotic mutation rate, the expected number of new deleterious alleles carried by a zygote, is US = UTfS. If fS > 0.01, US > 1, which would have important implications for human genetics and evolutionary biology.

Biological Evolution↗
PubMed2025

AVITI sequencing of a four-generation CEPH/Utah pedigree confirms low mutation rates at homopolymer loci despite their low sequence complexity.

BACKGROUND: Short tandem repeats (STRs) and homopolymers are among the most mutable loci in the human genome. Despite their presumed mutability owing to replication slippage, homopolymer loci exhibit lower mutation rates and minimal paternal age effects compared to other STRs. This paradox questions if technical limitations, rather than biological mechanisms, explain these observations. RESULTS: We used the Element Biosciences AVITI platform to sequence the genomes of a 48-member, four-generation CEPH/Utah pedigree. As the AVITI platform reduces error rates at repetitive sequences compared to Illumina, this design enabled accurate mutation discovery at 90% of assayed homopolymers and a 1.7-fold increase in discoverable mutations compared to Illumina. We identified a median of 35 de novo homopolymer mutations per trio and a mutation rate of 5.28 &#xd7; 10-5 DNMs per locus per generation, confirming a lower rate than dinucleotides (1.94 &#xd7; 10-4). Most DNMs were single base-pair expansions or contractions. Despite comprising <1% of homopolymer loci, G/C homopolymers showed 18-fold higher mutation rates than A/T homopolymers; in contrast, the high dinucleotide mutation rate is not driven by a particular motif class. Parent-of-origin analysis revealed 78% of homopolymer mutations are paternal in origin, but no significant paternal age effect was observed. CONCLUSIONS: This study confirms that homopolymers exhibit lower mutation rates and lack strong paternal age effects compared to other STRs, likely owing to the combination of a lower propensity to form slippage-causing secondary structures and more efficient mismatch repair. Our set of high-quality mutations suggest these phenomena are biological rather than technical in nature. Finally, we demonstrate that AVITI sequencing unlocks previously intractable regions of the genome and will be a powerful tool for continued investigation of repeat mutation.

AVITI↗
PubMed2005

Understanding differences between phylogenetic and pedigree-derived mtDNA mutation rate: a model using families from the Azores Islands (Portugal).

We analyzed the control region of the mitochondrial DNA (mtDNA) from maternally related individuals originating from the Azores Islands (Portugal) in order to estimate the mutation rate of mtDNA and to gain insights into the process by which a new mutation arises and segregates into heteroplasmy. Length and/or point heteroplasmies were found at least in one individual of 72% of the studied families. Eleven new point substitutions were found, all of them in heteroplasmy, from which five appear to be somatic mutations and six can be considered germinal, evidencing the high frequency of somatic mutations in mtDNA in healthy young individuals. Different values of the mutation rate according to different assumptions were estimated. When considering all the germinal mutations, the value of the mutation rate obtained is one of the highest reported so far in family studies. However, when corrected for gender (assuming that the mutations present in men have the same evolutionary weight of somatic mutations because they will inevitably be lost) and for the probability of intraindividual fixation, the value for the mutation rate obtained for HVRI and HVRII (0.2415 mutations/site/Myr) was in the upper end of the values provided by phylogenetic estimations. These results indicate that the discrepancy, that has been reported previously, between the human mtDNA mutation rates observed along evolutionary timescales and the estimations obtained using family pedigrees can be minimized when corrections for gender proportions in newborn individuals and for the probability of intraindividual fixation are introduced. The analyses performed support the hypothesis that (1) in a constant, tight bottleneck genetic drift alone can explain different patterns of heteroplasmy segregation and (2) in neutral conditions, the destiny of a new mutation is strictly related to the initial proportion of the new variant. Another important point arising from the data obtained is that, even in the absence of a paternal contribution of mtDNA, recombination may occur between mtDNA molecules present in an individual, which is only observable if it occurs between mtDNA types that differ at two or more positions.

Azores↗
PubMed1985

A deterministic approach for the estimation of mutation rates in cultured mammalian cells.

Unequal growth rates between mutant and wild-type cells in a large population constitute a problem for the estimation of mutation rate. Over a period of cell growth, a selective advantage of one cell type over the other might lead to considerable error in the estimation of mutation rate if equal growth rates are assumed. In this study, we propose a formula and apply it to the estimation of spontaneous mutation rate in a growing population of Chinese hamster V79 cells in which ouabain-resistant mutant cells exhibit a slower growth rate than the wild-type cells. The formula is a generalization of that previously presented by Armitage (1953), and this is the first attempt to apply the deterministic approach for mutation rate estimation to cultured mammalian cells. The value of the estimated rate is compared with that derived from a parallel experiment using the fluctuation test of Luria and Delbrück (1943). The limitations and advantages of taking the deterministic approach to mutation rate estimation in mammalian cell systems are discussed.

Animals↗
PubMed2002

Elevated mutation rates in the germ line of first- and second-generation offspring of irradiated male mice.

Mutation rates at two expanded simple tandem repeat loci were studied in the germ line of first- and second-generation offspring of inbred male CBA/H, C57BL/6, and BALB/c mice exposed to either high linear energy transfer fission neutrons or low linear energy transfer x-rays. Paternal CBA/H exposure to either x-rays or fission neutrons resulted in increased mutation rates in the germ line of two subsequent generations. Comparable transgenerational effects were observed also in neutron-irradiated C57BL/6 and x-irradiated BALB/c mice. The levels of spontaneous mutation rates and radiation-induced transgenerational instability varied between strains (BALB/c>CBA/H>C57BL/6). Pre- and postmeiotic paternal exposure resulted in similar increases in mutation rate in the germ line of both generations of CBA/H mice, which together with our previous results suggests that radiation-induced expanded simple tandem repeat instability is manifested in diploid cells after fertilization. The remarkable finding that radiation-induced germ-line instability persists for at least two generations raises important issues of risk evaluation in humans.

Alleles↗
PubMed1996

Mutation rate in the hypervariable VNTR g3 (D7S22) is affected by allele length and a flanking DNA sequence polymorphism near the repeat array.

The hypervariable human minisatellite locus D7S22 (g3) is highly polymorphic. The allelic distribution in D7S22 features a size clustering of the alleles and a comparably low allelic diversity among small alleles. This reduced diversity could reflect a situation where some alleles are less likely to mutate than others. Several factors could explain such an effect, including allele size, variation in repeat composition, and allelic differences in nearby cis-acting elements affecting the mutation rate. We have characterized 40 de novo mutations found on Southern blots in a large amount of paternity-testing material. There is a significant excess of paternal mutations, and small size changes are most frequent. Mutation rate is affected by allele length, with highest rates in larger alleles. Alleles of the family groups with D7S22 mutations and 50 small alleles were analyzed by nucleotide sequencing. Two hundred thirty-six base pairs of the immediate flanking region upstream of the repeat array were PCR amplified and screened for point mutations by DNA sequencing of the PCR products. Two base substitution polymorphisms were identified: one C/G transversion and one A/G transition, 54 bp and 173 bp upstream of the repeat array, respectively. There is a significant association between mutation and occurrence of 54C, while association is not obvious between mutation rate and the 173A/G variants. There is a marked association between different flanking haplotypes and allele size, and within the smallest allele-size group, all alleles had the 54G/173A haplotype. Both allele size and allelic state at site 54 remain associated with mutation rate when the other factor is controlled. Possible mechanisms behind the variation in mutation rate in D7S22 are discussed.

Alleles↗
PubMed2000

Somatic mutation rates and specificities at TC/AG and GT/CA microsatellite sequences in nontumorigenic human lymphoblastoid cells.

We have examined mutational events at TC/AG microsatellites, the second most abundant dinucleotide repetitive motif in the human genome. Mutational targets were constructed containing TC/AG alleles up to 20 units in-frame within the coding region of the herpes simplex virus thymidine kinase (HSV-tk) gene. These targets were incorporated into oriP shuttle vectors, which replicate episomally in human lymphoblastoid cells. The overall HSV-tk mutant frequencies measured after 10 population doublings in cells derived from a clinically normal donor were slightly increased over the background of mutations recovered in Escherichia coli. DNA sequence analyses revealed that replication of TC/AG vectors in human cells increased the mutation frequencies at the microsatellite motif up to 3-fold, relative to background. Additionally, the median HSV-tk mutation rate of single-cell clones carrying the [TC/AG]17 vector was significantly different from that of clones harboring the control vector. The median rate of allele length alterations within the [TC/AG]11 tract was 2 x 10(-6) mutations/cell generation, with an equivalent rate of deletion and expansion mutations. In contrast, a [GT/CA]10 vector showed no increase in microsatellite mutation frequency after replication in human cells, and mutation rates of clones carrying a [GT/CA]16 vector were not significantly different from controls. Intriguingly, replication in human cells of all microsatellite-containing vectors resulted in elevated mutation frequencies at the downstream HSV-tk coding sequence of up to 20-fold, an effect not observed for the control vector. These results demonstrate that the frequency of mutational events at TC/AG motifs is slightly greater than at GT/CA motifs of similar allele length. This is the first report to our knowledge of the mutation rates at TC/AG microsatellite alleles in eukaryotic or prokaryotic cells.

Base Sequence↗
PubMed1998

Deoxyribonucleoside triphosphate pool imbalances in vivo are associated with an increased retroviral mutation rate.

Deoxyribonucleoside triphosphate (dNTP) pool imbalances are associated with an increase in the rate of misincorporation and hypermutation during in vitro reverse transcription reactions. However, the effects of in vivo dNTP pool imbalances on the accuracy of reverse transcription are unknown. We sought to determine the effects of in vivo dNTP pool imbalances on retroviral mutation rates and to test our hypothesis that 3'-azido-3'-deoxythymidine (AZT) increases the retroviral mutation rates through induction of dNTP pool imbalances. D17 cells were treated with thymidine, hydroxyurea (HU), or AZT, and the effects on in vivo dNTP pools were measured. Thymidine and HU treatments induced significant dNTP pool imbalances. In contrast, AZT treatment had very little effect on the dNTP pools. The effects of in vivo dNTP pool imbalances induced by thymidine and HU treatments on the retroviral mutation rates were also determined. Spleen necrosis virus (SNV)-based and murine leukemia virus (MLV)-based retroviral vectors that expressed the lacZ mutant reporter gene were used. The frequencies of inactivating mutations introduced in the lacZ gene in a single replication cycle provided a measure of the retroviral mutation rates. Treatment of D17 target cells with 500 microM thymidine increased the SNV and MLV mutant frequencies 4.7- and 4-fold, respectively. Treatment of D17 target cells with 2 mM HU increased the SNV and MLV mutant frequencies 2.1- and 2.7-fold, respectively. These results demonstrate that dNTP pool imbalances are associated with an increase in the in vivo retroviral mutation rates, but AZT treatment results in an increase in the retroviral mutation rates by a mechanism not involving alterations in dNTP pools.

Cell Line↗
PubMed1999

The application of a linear algebra to the analysis of mutation rates.

Cells and bacteria growing in culture are subject to mutation, and as this mutation is the ultimate substrate for selection and evolution, the factors controlling the mutation rate are of some interest. The mutational event is not observed directly, but is inferred from the phenotype of the original mutant or of its descendants; the rate of mutation is inferred from the number of such mutant phenotypes. Such inference presumes a knowledge of the probability distribution for the size of a clone arising from a single mutation. We develop a mathematical formulation that assists in the design and analysis of experiments which investigate mutation rates and mutant clone size distribution, and we use it to analyse data for which the classical Luria-Delbrück clone-size distribution must be rejected.

Animals↗
PubMed2002

Effect of chromosome location on bacterial mutation rates.

In previous comparisons of enterobacterial sequences, synonymous substitution rates were higher in genes closer to the replication terminus, suggesting that mutation rates increase with distance from the replication origin. In order to directly test for the effects of chromosomal location on the rates of point mutations, we assayed the reversion rates of two lacZ alleles inserted at four positions in the Salmonella enterica chromosome. Mutation rates at an intermediate locus were significantly higher than those at loci nearer to and farther from the replication origin. The higher reversion rates at this locus were neither the result of an overall increase in mutation rates produced by the insertion at this location nor a function of the mutations' immediate neighbors, but rather a regional effect. At all loci, regardless of chromosome location, T.A --> G.C transversions were more frequent than A.T --> G.C transitions during the exponential phase.

Analysis of Variance↗