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Modes of reproduction and the accumulation of deleterious mutations with multiplicative fitness effects.

Mutational load depends not only on the number and nature of mutations but also on the reproductive mode. Traditionally, only a few specific reproductive modes are considered in the search of explanations for the maintenance of sex. There are, however, many alternatives. Including these may give radically different conclusions. The theory on deterministic deleterious mutations states that in large populations segregation and recombination may lead to a lower load of deleterious mutations, provided that there are synergistic interactions. Empirical research suggests that effects of deleterious mutations are often multiplicative. Such situations have largely been ignored in the literature, since recombination and segregation have no effect on mutation load in the absence of epistasis. However, this is true only when clonal reproduction and sexual reproduction with equal male and female ploidy are considered. We consider several alternative reproductive modes that are all known to occur in insects: arrhenotoky, paternal genome elimination, apomictic thelytoky, and automictic thelytoky with different cytological mechanisms to restore diploidy. We give a method that is based on probability-generating functions, which provides analytical and numerical results on the distributions of deleterious mutations. Using this, we show that segregation and recombination do make a difference. Furthermore, we prove that a modified form of Haldane's principle holds more generally for thelytokous reproduction. We discuss the implications of our results for evolutionary transitions between different reproductive modes in insects. Since the strength of Muller's ratchet is reduced considerably for several forms of automictic thelytoky, many of our results are expected to be also valid for initially small populations.

Data Interpretation, Statistical↗

Evaluation of structural and evolutionary contributions to deleterious mutation prediction.

Methods for automated prediction of deleterious protein mutations have utilized both structural and evolutionary information but the relative contribution of these two factors remains unclear. To address this, we have used a variety of structural and evolutionary features to create simple deleterious mutation models that have been tested on both experimental mutagenesis and human allele data. We find that the most accurate predictions are obtained using a solvent-accessibility term, the C(beta) density, and a score derived from homologous sequences, SIFT. A classification tree using these two features has a cross-validated prediction error of 20.5% on an experimental mutagenesis test set when the prior probability for deleterious and neutral cases is equal, whereas this prediction error is 28.8% and 22.2% using either the C(beta) density or SIFT alone. The improvement imparted by structure increases when fewer homologs are available: when restricted to three homologs the prediction error improves from 26.9% using SIFT alone to 22.4% using SIFT and the C(beta) density, or 24.8% using SIFT and a noisy C(beta) density term approximating the inaccuracy of ab initio structures modeled by the Rosetta method. We conclude that methods for deleterious mutation prediction should include structural information when fewer than five to ten homologs are available, and that ab initio predicted structures may soon be useful in such cases when high-resolution structures are unavailable.

Bacterial Proteins↗

A neutral theory predicts multigenic aging and increased concentrations of deleterious mutations on the mitochondrial and Y chromosomes.

Population genetic forces have molded the constitution of the human genome over evolutionary time, and some of the most important parameters are the initial frequency of the allele, p, the effective population size, Ne, and the selection coefficient, s. There is considerable agreement among evolutionary gerontologists that the amplitude of -s is small for alleles that are Deleterious In Late Life (DILL), and thus DILL traits are effectively neutral and should be fixed in the human population in relationship to Ne and p. Even higher rates of fixation of deleterious mutations are predicted to occur in the two nonrecombinant genomes in humans, i.e., the Y chromosome and the mitochondrial genome, as a consequence of their lower Ne than autosomes, and the predicted higher rate of fixation of deleterious alleles on the Y may explain the reduced average life span of males vs. females. The high probability of fixation of neutral and mildly deleterious mutations in the mitochondrial genome explains in part its fast rate of evolution, the high observed frequency of mitochondrial disease in relationship to this genome's small size, and may be the underlying reason for the transfer of mitochondrial genes over evolutionary time to the nucleus. The predicted higher concentration of deleterious mutations on the mitochondrial genome could have some leverage to cause more dysfunction than that predicted by mitochondrial gene number alone, because of the essential role of mitochondrial gene function in multisubunit complexes, the coupling of mitochondrial functions, the observation that some mtDNA sequences facilitate somatic mutation, and the likelihood of deleterious mutations either increasing the production of or the sensitivity to mitochondrial ROS.

Aging↗

Little evidence for synergism among deleterious mutations in a nonsegmented RNA virus.

Several models have been proposed to account for the segmentation of RNA viruses. One of the best known models suggests that segmentation, and mixing of segments during coinfections, is a way to eliminate deleterious mutations from the genome. However, for validity, this model requires that deleterious mutations interact in a synergistic way. That is, two mutations together should have a more deleterious effect than the result of adding their individual effects. Here I present evidence that deleterious mutations in foot-and-mouth disease virus produce a decline in fitness but that the relationship between the number of mutations fixed and the magnitude of fitness decline is compatible mainly with a nonsynergistic model. However, the statistical uncertainties associated with the data still give some room for the existence of very weak synergistic epistasis.

Aphthovirus↗

Prediction of solvent accessibility and sites of deleterious mutations from protein sequence.

Residues that form the hydrophobic core of a protein are critical for its stability. A number of approaches have been developed to classify residues as buried or exposed. In order to optimize the classification, we have refined a suite of five methods over a large dataset and proposed a metamethod based on an ensemble average of the individual methods, leading to a two-state classification accuracy of 80%. Many studies have suggested that hydrophobic core residues are likely sites of deleterious mutations, so we wanted to see to what extent these sites can be predicted from the putative buried residues. Residues that were most confidently classified as buried were proposed as sites of deleterious mutations. This proposition was tested on six proteins for which sites of deleterious mutations have previously been identified by stability measurement or functional assay. Of the total of 130 residues predicted as sites of deleterious mutations, 104 (or 80%) were correct.

Amino Acid Sequence↗

Accumulation of deleterious mutations in small abiotic populations of RNA.

The accumulation of slightly deleterious mutations in populations leads to the buildup of a genetic load and can cause the extinction of populations of small size. Mutation-accumulation experiments have been used to study this process in a wide variety of organisms, yet the exact mutational underpinnings of genetic loads and their fitness consequences remain poorly characterized. Here, we use an abiotic system of RNA populations evolving continuously in vitro to examine the molecular events that can instigate a genetic load. By tracking the fitness decline of ligase ribozyme populations with bottleneck sizes between 100 and 3000 molecules, we detected the appearance and subsequent fixation of both slightly deleterious mutations and advantageous mutations. Smaller populations went extinct in significantly fewer generations than did larger ones, supporting the notion of a mutational meltdown. These data suggest that mutation accumulation was an important evolutionary force in the prebiotic RNA world and that mechanisms such as recombination to ameliorate genetic loads may have been in place early in the history of life.

Base Sequence↗

Deleterious mutation accumulation and the regeneration of genetic resources.

The accumulation of mildly deleterious mutations accompanying recurrent regeneration of plant germ plasm was modeled under regeneration conditions characterized by different amounts of selection and genetic drift. Under some regeneration conditions (sample sizes >/=75 individuals and bulk harvesting of seed) mutation accumulation was negligible, but under others (sample sizes <75 individuals or equalization of seed production by individual plants) mutation numbers per genome increased significantly during 25-50 cycles of regeneration. When mutations also are assumed to occur (at elevated rates) during seed storage, significant mutation accumulation and fitness decline occurred in 10 or fewer cycles of regeneration regardless of the regeneration conditions. Calculations also were performed to determine the numbers of deleterious mutations introduced and remaining in the genome of an existing variety after hybridization with a genetic resource and subsequent backcrossing. The results suggest that mutation accumulation has the potential to reduce the viability of materials held in germ plasm collections and to offset gains expected by the introduction of particular genes of interest from genetic resources.

Alleles↗

The effects of deleterious mutations on linked, neutral variation in small populations.

The effects of recessive, deleterious mutations on genetic variation at linked neutral loci can be heterozygosity-decreasing because of reduced effective population sizes or heterozygosity-increasing because of associative overdominance. Here we examine the balance between these effects by simulating individual diploid genotypes in small panmictic populations. The haploid genome consists of one linkage group with 1000 loci that can have deleterious mutations and a neutral marker. Combinations of the following parameters are studied: gametic mutation rate to harmful alleles (U), population size (N), recombination rate (r), selection coefficient (s), and dominance (h). Tight linkage (r </= 10(-4)) gives significant associative effects, leading either to strong reduction of heterozygosity when the product Nhs is large or to a clear increase when the product Nhs is small, the boundary between these effects being 1 < Nhs < 4 in our simulations. Associative overdominance can lead to heterozygosities that are larger than predicted by the background selection models and even larger than the neutral expectation.

Alleles↗

Direct estimation of per nucleotide and genomic deleterious mutation rates in Drosophila.

Spontaneous mutations are the source of genetic variation required for evolutionary change, and are therefore important for many aspects of evolutionary biology. For example, the divergence between taxa at neutrally evolving sites in the genome is proportional to the per nucleotide mutation rate, u (ref. 1), and this can be used to date speciation events by assuming a molecular clock. The overall rate of occurrence of deleterious mutations in the genome each generation (U) appears in theories of nucleotide divergence and polymorphism, the evolution of sex and recombination, and the evolutionary consequences of inbreeding. However, estimates of U based on changes in allozymes or DNA sequences and fitness traits are discordant. Here we directly estimate u in Drosophila melanogaster by scanning 20 million bases of DNA from three sets of mutation accumulation lines by using denaturing high-performance liquid chromatography. From 37 mutation events that we detected, we obtained a mean estimate for u of 8.4 x 10(-9) per generation. Moreover, we detected significant heterogeneity in u among the three mutation-accumulation-line genotypes. By multiplying u by an estimate of the fraction of mutations that are deleterious in natural populations of Drosophila, we estimate that U is 1.2 per diploid genome. This high rate suggests that selection against deleterious mutations may have a key role in explaining patterns of genetic variation in the genome, and help to maintain recombination and sexual reproduction.

Animals↗

Limited dispersal, deleterious mutations and the evolution of sex.

This study presents a mathematical model that allows for some offspring to be dispersed at random, while others stay close to their mothers. A single genetic locus is assumed to control fertility, and this locus is subject to the occurrence of deleterious mutations. It is shown that, at equilibrium, the frequency of deleterious mutations in the population is inversely related to the rate of dispersal. This is because dispersal of offspring leads to enhanced competition among adults. The results also show that sexual reproduction can lead to a decrease in the equilibrium frequency of deleterious mutations. The reason for this relationship is that sex involves the dispersal of genetic material, and thus, like the dispersal of offspring, sex enhances competition among adults. The model is described using the example of a hermaphroditic plant population. However, the results should apply to animal populations as well.

Biological Evolution↗

[Evolution of sex: role of deleterious mutation and mobile elements].

Prevalence of sexual reproduction is still enigma. The main character of sex is alleles mixing that could be advantageous either in unstable environment (in this case sex provides high temp of evolution) or in unstable genotype (in this case sex provides purge of genome from deleterious mutations). As long as not all species inhabit highly changeable environments, variation of genotypes is more important factor. As the majority of new mutations is deleterious, effective mechanism of genome purging is needed. Maintenance of "purging mechanism" may be a single role of sex. Two promising mutational hypotheses--clade selection (Muller's ratchet and Nunney's hypothesis) and mutational deterministic hypothesis of Kondrashov claim that more effective elimination of slightly-deleterious mutations provides main advantage to sexual population in comparison with asexual. Despite prima facie similarity, these hypotheses differ in mechanisms, work at different temporal scales and have different consequences. Kondrashov's hypothesis reveals short-term advantage of sexual reproduction, and thus, based on the individual selection. Clade selection displays long-term advantage of sexual reproduction that could be realized only by group selection. The role of mobile elements in evolution of sexual reproduction is also discussed. Firstly, mobile elements ("sexual molecular parasites") can complicate the problem: having been domesticated in asexual genomes and remaining active in sexual genomes they lead to higher mutational rate in sexual organisms and so violate assumption critical for both mutational hypotheses of "other things being equal". Secondly, mobile elements could be leader factor of origin of sex (hypothesis proposed by Hickey). Because theory of group selection could explain maintenance of sex, but not its origin, mobile elements could induce the origin of sex but were not able to maintain it, so the next scenario of evolution of sex is proposed: mobile elements induced origin of sex, which was established later by group selection because provided long term benefit (Muller's ratchet and Nunney's hypothesis). So, on all stages of evolution, sex was not advantageous for the organism per se.

Animals↗

Deleterious mutations as an evolutionary factor. II. Facultative apomixis and selfing.

A population with u deleterious mutations per genome per generation is considered in which only those individuals that carry less than a critical number k of mutations are viable. Besides a large number of loci subject to mutation and selection, the genome contains one or two special loci responsible for the mode of reproduction. Amphimixis vs. apomixis and amphimixis vs. selfing are considered separately. In the first case, the genome degradation rate v (= u/square root k) is found to play the decisive role, as in the case of recombination. When v greater than 1.25, obligate amphimixis is established. If v decreases below this value, the alleles with first low and then larger penetrance are fixed, until alleles conferring obligate asexual reproduction become advantageous. The proportion of resources allocated to produce seeds also increases with decrease of v. These results are unlikely to depend on the genetic basis of the mode of reproduction. The result of competition between outcrossing and selfing depends on both u and k, as well as on whether the mutations are recessive. The alleles for selfing with low penetrance are selected against if the mutations are at all recessive. The fitness of alleles with high penetrance depends primarily on u, decreasing when u increases. There may exist conditions when only the alleles providing intermediate selfing rates can be fixed in a population. In other cases a population may exist with either obligate outcrossing or selfing at a high rate. Thus, truncation selection against deleterious mutations may be a factor supporting obligate or facultative sex despite the twofold advantage of apomixis or selfing.

Alleles↗

A candidate gene approach within the susceptibility region PCaP on 1q42.2-43 excludes deleterious mutations of the PCTA-1 gene to be responsible for hereditary prostate cancer.

OBJECTIVE: The Prostate Carcinoma Tumor Antigen-1 (PCTA-1) is located at the prostate cancer susceptibility locus on chromosome 1q42.2-43 (PCaP). In this candidate gene approach, we searched for deleterious mutations within the PCTA-1 gene and its promoter. MATERIALS AND METHODS: Seventy-seven familial prostate cancer cases from 36 German and French pedigrees were screened for germline mutations in the PCTA-1 gene using enzymatic mutation detection (EMD). Putative missense mutations were genotyped by RPLP and ddNTP primer extension assays in 88 controls to assess allele frequencies and haplotypes. RESULTS: Several sequence variants were found but none of the findings indicated a deleterious mutation. Three affected brothers showed an intronic variation, which may interfere with correct splicing. Four non-conservative SNPs were characterized, coding for the amino acid alterations Y19F, C36R, V56M and S184R. All exchanges were found in controls with common allelic frequencies of at least 28%. Haplotype definition including six SNPs within the PCTA-1 gene revealed a complete linkage disequilibrium. Low haplotype diversity leads to a predominance of only two peptide variants of the PCTA-1 protein, coded by 95% of all chromosomes. CONCLUSIONS: PCTA-1 is not a classical high risk gene with deleterious mutations predisposing to hereditary prostate cancer. Its contribution to prostate cancer susceptibility as a low risk factor in sporadic disease has to be assessed in larger samples by association studies.

Galectins↗

The accumulation of deleterious mutations within the frozen niche variation hypothesis.

The frozen niche variation hypothesis proposes that asexual clones exploit a fraction of a total resource niche available to the sexual population from which they arise. Differences in niche breadth may allow a period of coexistence between a sexual population and the faster reproducing asexual clones. Here, we model the longer term threat to the persistence of the sexual population from an accumulation of clonal diversity, balanced by the cost to the asexual population resulting from a faster rate of accumulation of deleterious mutations. We use Monte-Carlo simulations to quantify the interaction of niche breadth with accumulating deleterious mutations. These two mechanisms may act synergistically to prevent the extinction of the sexual population, given: (1) sufficient genetic variation, and consequently niche breadth, in the sexual population; (2) a relatively slow rate of accumulation of genetic diversity in the clonal population; (3) synergistic epistasis in the accumulation of deleterious mutations.

Biological Evolution↗

Dynamics of unconditionally deleterious mutations: Gaussian approximation and soft selection.

This paper studies the influence of two opposite forces, unidirectional unconditionally deleterious mutations and directional selection against them, on an amphimictic population. Mutant alleles are assumed to be equally deleterious and rare, so that homozygous mutations can be ignored. Thus, a genotype is completely described by its value with respect to a quantitative trait chi, the number of mutations it carries, while a population is described by its distribution p(chi) with mean M[p] and variance V[p] = sigma(2)[p]. When mutations are only slightly deleterious, so that M > 1, before selection p(chi) is close to Gaussian with any mode of selection. I assume that selection is soft in the sense that the fitness of a genotype depends on the difference between its value of chi and M, in units of sigma. This leads to a simple system of equations connecting the values of M and V in successive generations. This system has a unique and stable equilibrium, M = U/delta)2(2--rho) and V = (U/delta)2, where U is the genomic deleterious mutation rate, delta is the selection differential for chi in units of sigma, and rho is the ratio of variances of p(chi) after and before selection. Both delta and rho are parameters of the mode of soft selection, and do not depend on M or V. In an equilibrium population, the selection coefficient against a mutant allele is s = delta2[U(2--rho)]-1. The mutation load can be tolerable only if the genome degradation rate v = U/sigma is below 2. Other features of mutation-selection equilibrium are also discussed.

Alleles↗

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↗

Quantifying the slightly deleterious mutation model of molecular evolution.

We have attempted to quantify the frequency and effects of slightly deleterious mutations (SDMs), those that have selective effects close to the reciprocal of the effective population size of a species, by comparing the level of selective constraint in protein-coding genes of related species that have different present-day effective population sizes. In our two comparisons, the species with the smaller effective population size showed lower constraint, implying that SDMs had become fixed. The fixation of SDMs was supported by the observation of a higher fraction of radical to conservative amino acid substitutions in species with smaller effective population sizes. The fraction of strongly deleterious mutations (which rarely become fixed) is >70% in most species. Only approximately 10% or fewer of mutations seem to behave as SDMs, but SDMs could comprise a substantial fraction of mutations in protein-coding genes that have a chance of becoming fixed between species.

Amino Acid Substitution↗

Mismatch repair and the accumulation of deleterious mutations influence the competitive advantage of MAT (mating type) heterozygosity in the yeast Saccharomyces cerevisiae.

Competitions between matched pairs of diploid strains of Saccharomyces cerevisiae, one capable of undergoing sexual recombination (MAT-heterozygous) and the other not (MAT-homozygous), have proved useful for measuring the effects of mitotic and meiotic recombination and DNA repair on competitive ability in this organism. Overall competitive differences between the strains can be enhanced by converting them to petites (aerobic respiration incompetent). Here we report the results of competitions between pairs of strains that also differ in their ability to undergo mismatch repair. In petite strains, the growth rates of mismatch-repair defective strains declined over time regardless of their MAT genotype. Mismatch-repair proficient MAT-heterozygous strains did not show a decline, while repair-deficient MAT-homozygous strains did. The decline appears to be due to the accumulation of deleterious mutations of small effect, which can be corrected by MAT-heterozygous strains having intact mismatch repair. The relative competitive abilities of MAT-heterozygous and MAT-homozygous strains diverged during the course of the competitions, and the variance of this divergence increased significantly when mismatch repair was defective. This large stochastic component indicates that a relatively small number of deleterious mutations may be involved. The accumulation of deleterious mutations and their subsequent repair may have a bearing on the origin of sex in this organism.

DNA Repair↗