Estimation of mutation rates in cultured mammalian cells

The factors that affect reliable estimations of mutation rates (μ) in cultured mammalian somatic cell populations by fluctuation analysis are studied experimentally and statistically. We analyze the differential effect of the final cell population size in each culture (N_t) and the number of parallel cultures (C) on the variation in the rate estimates ($\text{μ}$) inferred from the P₀ method. The analysis can be made after the derivation of the variance of $\text{μ}$, which is a measure of variation of $\text{μ}$ for a given combination of N_t and C in a number of repeat experiments. The variance of $\text{μ}$ is inversely proportional to C and to the square of N_t. N_t determines the probability of occurrence of mutation in a cell culture. By influencing the size of P₀, N_t also determines whether a rate estimate is obtainable from the experiment. Since P_o is estimated from the fraction of cultures containing no mutation in a set of C cultures, C becomes a determining factor for the accuracy of $\text{μ}$. The rate estimated from $\text{P}\text{?}{}_0$ is biased, but the bias is in general 2 orders of magnitude smaller than $\text{μ}$. By the selection of an appropriate combination of N_t and C for the experiment, this bias can be reduced even further.Based on the notion of comparing two proportions, we propose a test statistic and have applied it to experimental results for a test of equality of mutation rates in different cell lines. This development places the comparison of mutation rates on a statistical basis.     

Genetic variability maintained by mutation and overdominant selection in finite populations

Mathematical properties of the overdominance model with mutation and random genetic drift are studied by using the method of stochastic differential equations (Itô and McKean 1974). It is shown that overdominant selection is very powerful in increasing the mean heterozygosity as compared with neutral mutations, and if 2Ns (N = effective population size; s = selective disadvantage for homozygotes) is larger than 10, a very low mutation rate is sufficient to explain the observed level of allozyme polymorphism. The distribution of heterozygosity for overdominant genes is considerably different from that of neutral mutations, and if the ratio of selection coefficient (s) to mutation rate (ν) is large and the mean heterozygosity (h) is lower than 0.2, single-locus heterozygosity is either approximately 0 or 0.5. If h increases further, however, heterozygosity shows a multiple-peak distribution. Reflecting this type of distribution, the relationship between the mean and variance of heterozygosity is considerably different from that for neutral genes. When s/v is large, the proportion of polymorphic loci increases approximately linearly with mean heterozygosity. The distribution of allele frequencies is also drastically different from that of neutral genes, and generally shows a peak at the intermediate gene frequency. Implications of these results on the maintenance of allozyme polymorphism are discussed.     

Genetic structure of South Australian Pyrenophora teres populations as revealed by microsatellite analyses

The aim of this study was to determine the genetic structure of South Australian field populations of the barley net blotch pathogens, Pyrenophora teres f. sp. teres (PTT) and P. teres f. sp. maculata (PTM), using microsatellite DNA markers. Three PTT populations (76 isolates total) and two PTM populations (43 isolates total) were sampled from separate fields during a single growing season. The results showed that of the 20 microsatellite loci examined, 17 (85 %) were polymorphic within the PTT and PTM populations. In total, 120 distinct alleles were identified of which only 11 (9 %) were shared between the two population types. Nei’s measure of gene diversity across the PTT and PTM populations was similar at 0.38 and 0.40, respectively, and also much higher than previously reported from studies in which other types of molecular markers were used. The coefficient of genetic differentiation among both populations was the same (G_ST = 0.03) and the low and insignificant estimates of F_ST, as indicated by θ, between populations of the same type (PTT: θ < 0.008, PTM: θ = 0.014) indicated that isolates sampled from different areas within the same field were genetically similar. In contrast, high and significant genetic differentiation was observed among and between populations of different type (G_ST = 0.42, θ > 0.567). The high number of unique multilocus haplotypes observed within the PTT (84 %) and PTM (100 %) populations, combined with a 1:1 distribution of both mating types, suggested that sexual reproduction was predominant among these populations. However, tests for multilocus associations showed that both PTT and PTM populations were in significant linkage disequilibrium. Although the levels of disequilibrium were low, an asexual reproductive component could not be excluded.     

Interchromosomal Biased Gene Conversion, Mutation and Selection in a Multigene Family

A mathematical model of the effects of interchromosomal biased gene conversion, mutation and natural selection on a multigene family is developed and analyzed. The model assumes two allelic states at each of n loci. The effects of genetic drift are ignored. The model is developed under the assumption of no recombination, but the analysis shows that, at equilibrium, there is no linkage disequilibrium, which implies that the conclusions are valid for arbitrary recombination among loci. At equilibrium, the balance between mutation, gene conversion and selection depends on the ratio of the mutation rates to the quantity [s + g(2α - 1)/ n], where s is the increment or decrement in relative fitness with each additional copy of one of the alleles, g is the conversion rate, and α is a measure of the bias in favor of one of the alleles. When this quantity is large relative to the mutation rates, the allele that has the net advantage, combining the effects of selection and conversion, will be nearly fixed in the multigene family. A comparison of these results with those from a comparable model of intrachromosomal biased conversion shows that biased interchromosomal conversion leads to approximately the same equilibrium copy number as does intrachromosomal conversion of the same strength. Interchromosomal conversion is much more effective in causing the substitution of one allele by another. The relative frequencies of interchromosomal and intrachromosomal conversion is indicated by the extent of the linkage disequilibrium among the loci in a multigene family.     

Genetic diversity and biogeography of the traditional Chinese medicine, Gardenia jasminoides, based on AFLP markers

Gardenia jasminoides Ellis is used in traditional Chinese medicine (TCM) in China. Levels of genetic variation and patterns of population structure within and among eight wild or cultivated populations of G. jasminoides Ellis in China were investigated using amplified fragment length polymorphism (AFLP) markers. Of the 11 primers screened, four produced highly reproducible AFLP bands. Using these primers, 244 discernible DNA fragments were generated with 165 bands (67.6%), were polymorphic, indicating considerable genetic variation at the species level. In contrast, there were relatively low levels of polymorphism at the population level with the percentage of polymorphic bands (PPB) ranging from 36.89% to 59.43%. Genetic diversity within populations ranged from 0.2086 to 0.3108, averaging 0.2392 at the species level. A high level of genetic differentiation among populations was detected based on Nei's genetic diversity analysis (76.59%), Shannon's index analysis (64.8%) and AMOVA analysis (72.75%). No significant statistical differences (analysis of molecular variance [AMOVA], p = 0.0639) in AFLP variation were found between regions. However, the variance among populations and within populations differed significantly (p < 0.001). An indirect estimate of historical levels of gene flow (N_m = 1.7448) was consistent with the high mean genetic identity (mean I = 0.9263) found among populations. There is an association between geographic and genetic distances between populations. Presently gene change exists between populations.     

Effects of the shape of distribution of mutant effect in nearly neutral mutation models

Models of the theory of nearly neutral mutation incorporate a continuous distribution of mutation effects in contrast to the theory of purely neutral mutation which allows no mutations with intermediate effects. Previous studies of one such model, namely the house-of-cards mutation model, assumed normal distribution of mutation effect. Here I study the house-of-cards mutation model in random-mating finite populations using the weak-mutation approximation, paying attention to the effects of the distribution of mutant effects. The average selection coefficient, substitution rate and average heterozygosity in the equilibrium and transient states were studied mainly by computer simulation. The main findings are: (i) Very rapid decrease of the substitution rate and very slow approach to equilibrium as selection becomes stronger are characteristics of assuming normal distribution of mutant effect. If the right tail of the mutation distribution decays more rapidly than that of the normal distribution, the decrease of substitution rate becomes slower and equilibrium is achieved more quickly. (ii) The dispersion index becomes smaller or larger than 1 depending on the time and the intensity of selection, (iii) LetN be the population size. When selection is strong the ratio of 4N times the substitution rate to the average heterozygosity, which is expected to be 1 under neutrality, is larger than 1 in earlier generations but becomes less than 1 in later generations. These findings show the importance of the distribution of mutant effect and time in determination of the behaviour of various statistics frequently used in the study of molecular evolution.     

The balance between pleiotropic mutation and selection,when alleles have discrete effects

The theory of pleiotropic mutation and selection is investigated and developed for a large population of asexual organisms. Members of the population are subject to stabilising selection on Omega phenotypic characters, which each independently affect fitness. Pleiotropy is incorporated into the model by allowing each mutation to simultaneously affect all characters. To expose differences with continuous-allele models, the characters are taken to originate from discrete-effect alleles and thus have discrete genotypic effects. Each character can take the values nxDelta where n=0,+/-1,+/-2, em leader, and the splitting in character effects, Delta, is a parameter of the model. When the distribution of mutant effects is normally distributed around the parental value, and Delta is large, a "stepwise" model of mutation arises, where only adjacent trait effects are accessible from a single mutation. The present work is primarily concerned with the opposite limit, where Delta is small and many different trait effects are accessible from a single mutation.In contrast to what has been established for continuous-effect models, discrete-effect models do not yield a singular equilibrium distribution of genotypic effects for any value of Omega. Instead, for different values of Omega, the equilibrium frequencies of trait values have very different dependencies on Delta. For Omega=1 and 2, decreasing Delta broadens the width of the frequency distribution and hence increases the equilibrium level of polymorphism. For all sufficiently large values of Omega, however, decreasing Delta decreases the width of the frequency distribution and the equilibrium level of polymorphism. The connection with continuous trait models follows when the limit Delta-->0 is considered, and a singular probability density of trait values is obtained for all sufficiently large Omega.     

元江鲤种群遗传多样性

选择12对微卫星标记检测了于2011年采集自元江(红河上游中国江段)5个样点192尾鲤的群体遗传多样性.共检测到201个等位基因,每个位点等位基因2-27个.各群体各位点平均等位基因(NA)12.25-14.67个,平均有效等位基因(NE)8.28-9.73个,平均观察杂合度(Ho)o.7765-0.8037,平均期望杂合度(HE)0.7761-0.8080,平均多态信息含量(PIC)0.7534-0.7843.元江鲤种群192个个体各位点NA、NE、Ho、HE、PIC分别为16.50、11.26、0.7927、0.8049、0.7966,种群遗传多样性水平高.元江鲤群体之间遗传分化小,可作为一个种群管理单元进行管理.增殖放流要防止遗传多样性丧失.     

High genetic differentiation and variation as revealed by ISSR marker in Pseudotaxus chienii (Taxaceae), an old rare conifer endemic to China

Pseudotaxus chienii (Taxaceae) is an endangered conifer species endemic to China, with a historically disjunct distribution pattern. Eleven populations sampled throughout its range were examined using inter-simple sequence repeats (ISSR) markers. Twenty primers generated 242 bands, and each detected polymorphic loci, with 73.14% of polymorphic loci overall. The estimate for θ^B was 0.5306, whereas G_ST and Φ_ST values were 0.6146 and 0.6401, respectively. 50.62% of the total diversity based on Shannon's index of phenetic diversity was attributed to among populations, which was consistent with the θ^B estimation. Compared with other conifers, remarkable genetic differentiation occurred among P. chienii populations. A Mantel test indicated that pairwise values of θ^B were significantly related with geographical distances between populations (r = 0.676, P = 0.001). In terms of the above results, conservation strategies and maintenance plans of P. chienii were recommended.     

The selection mutation equation

Fisher's Fundamental Theorem of Natural Selection is extended to the selection mutation model with mutation rates _ij=_ii.e. depending only on the target gene, by constructing a simple Lyapunov function. For other mutation rates stable limit cycles are possible.     

High allozyme diversity and unidirectional linear migration patterns within a population of tetraploid Isoetes sinensis, a rare and endangered pteridophyte

Isoetes sinensis (Isoetaceae), an aquatic quillwort which occurs only in two fragmented sites of China as an allotetraploid, is critically endangered. Genetic variation among eight subpopulations of I. sinensis was examined in the Xin’an River (119°14′–15′E, 29°28′N) by using allozyme polymorphism. Eighteen loci of 10 enzyme systems were examined and used for the analysis of population genetic parameters. As expected for allotetraploids, fixed heterozygosity was found at four loci. A high level of genetic diversity was observed in the population, with mean number of alleles per loci of 1.8, and mean percentage of polymorphic loci of 55.6%, which were much higher than the average values in fern species. The genetic variation within each subpopulation was not positively correlated with its size, which may be explained by high gene flow (Nm = 2.57), clonal reproduction and fixed heterozygosity of allopolyploid. The I. sinensis population contained high clonal diversity (PD = 0.39, D = 0.95), indicating the successful seedling recruitment of the population. Significant positive relationship was detected between clonal diversity and the size of subpopulation. Partitioning the genetic diversity indicated that 91.1% of the genetic variation was within subpopulations and only 8.9% existed among subpopulations. The migration pattern of I. sinensis along the Xin’an River is best explained by a source–sink model, but with unidirectional gene flow among subpopulations underlined by hydrochoric force. The results were then discussed in relation to both in situ and ex situ conservation efforts of the population.     

Genetic variability of the tokay gecko based on microsatellite analysis

The black-spotted tokay gecko and red-spotted tokay gecko have different distribution areas and are significantly different in appearance but are classified into the same species Gekko gecko. Twelve microsatellite loci were isolated, characterized and evaluated from wild black-spotted tokay geckos for the first time. Of them, nine loci were successfully amplified in red-spotted tokay geckos using multiplex polymerase chain reactions (PCRs). A total of 208 different alleles were observed in the 70 wild black-spotted and red-spotted tokays, and the average number of alleles per locus was 17.3. The average values for observed heterozygosity, expected heterozygosity and polymorphism information content were 0.762, 0.891 and 0.871, respectively, which showed that the wild G. gecko population had a high level of genetic variability. Both black-spotted tokays and red-spotted tokays showed a significant (P < 0.001) deficit of heterozygotes. The red-spotted tokay (H_E = 0.881, A = 16.4) had a higher level of genetic variability than black-spotted tokay (H_E = 0.804, A = 10.7). The pairwise F_ST (P < 0.001) estimates of the two types of tokay were 0.143, which indicated that there was a significant level of genetic differentiation between the two.     

Genetic variation in nuclear and mitochondrial markers supports a large sex difference in lifetime reproductive skew in a lekking species

Sex differences in skews of vertebrate lifetime reproductive success are difficult to measure directly. Evolutionary histories of differential skew should be detectable in the genome. For example, male‐biased skew should reduce variation in the biparentally inherited genome relative to the maternally inherited genome. We tested this approach in lek‐breeding ruff (Class Aves, Philomachus pugnax) by comparing genetic variation of nuclear microsatellites (θ_n; biparental) versus mitochondrial D‐loop sequences (θ_m; maternal), and conversion to comparable nuclear (N_e) and female (N_ef) effective population size using published ranges of mutation rates for each marker (μ). We provide a Bayesian method to calculate N_e (θ_n = 4N_eμ_n) and N_ef (θ_m = 2N_efμ_m) using 95% credible intervals (CI) of θ_n and θ_m as informative priors, and accounting for uncertainty in μ. In 96 male ruffs from one population, N_e was 97% (79–100%) lower than expected under random mating in an ideal population, where N_e:N_ef = 2. This substantially lower autosomal variation represents the first genomic support of strong male reproductive skew in a lekking species.     

A trade-off between oxidative stress resistance and DNA repair plays a role in the evolution of elevated mutation rates in bacteria

The dominant paradigm for the evolution of mutator alleles in bacterial populations is that they spread by indirect selection for linked beneficial mutations when bacteria are poorly adapted. In this paper, we challenge the ubiquity of this paradigm by demonstrating that a clinically important stressor, hydrogen peroxide, generates direct selection for an elevated mutation rate in the pathogenic bacterium Pseudomonas aeruginosa as a consequence of a trade-off between the fidelity of DNA repair and hydrogen peroxide resistance. We demonstrate that the biochemical mechanism underlying this trade-off in the case of mutS is the elevated secretion of catalase by the mutator strain. Our results provide, to our knowledge, the first experimental evidence that direct selection can favour mutator alleles in bacterial populations, and pave the way for future studies to understand how mutation and DNA repair are linked to stress responses and how this affects the evolution of bacterial mutation rates.     

Evolution of MHC class I genes in two ancient fish, paddlefish (Polyodon spathula) and Chinese sturgeon (Acipenser sinensis)

Here we present the first isolation of major histocompatibility complex (MHC) class I genes from two ancient fish, paddlefish (Polyodon spathula) and Chinese sturgeon (Acipenser sinensis). Seventeen sequences obtained showed high polymorphism and positive natural selection with d_N/d_S > 1. Evolutionary relationships revealed that sequences from paddlefish and Chinese sturgeon distinguished from other vertebrate class I and had an intermingling of alleles, which indicates that Acipenseriformes have a common ancestral gene of class I and a trans-species polymorphism across Acipenseriformes. We also found clear evidence of recombination among class I genes of paddlefish and Chinese sturgeon.     

Mating system and population genetic structure of Bruguiera gymnorrhiza (Rhizophoraceae), a viviparous mangrove species in China

In order to explain the diversity patterns and develop the conservation strategies, the population genetic structures and the mating systems of Bruguiera gymnorrhiza from the coastlines of south China were investigated in this study. The mating system parameters were analyzed using progeny arrays for allozyme markers. The multilocus outcrossing rates (tm) ranged from 0.845 (Fugong) to 0.267 (Dongzhai harbor). High allozyme variations within the five collected populations were determined and compared with the published data of other plant species with the mixed mating systems. At species level, the percentage of polymorphic loci (P) was 80%, the average number of alleles per locus (A) was 2.440, and the heterozygosity (He) was 0.293. The total gene diversity within each population (H_S = 0.2782) and the coefficient of genetic differentiation (G_ST = 0.0579) among the populations were estimated. On the basis of this population genetic structure, it is suggested that the gene flow (Nm = 3.85) is quite high, which is possibly related to its water-dispersed hypocotyls. It is also suggested that the mating system of this species is of mixed mating.     

Chemical implantation of Group 4 cations on silica via cyclopentadienyl- and N,N-dialkylcarbamato derivatives

Chemical implantation of Group 4 cations [Ti(III), Ti(IV), Zr(IV), Hf(IV)] has been carried out under mild conditions by the reaction of polycyclopentadienyl- (MCp_n; M = Ti, n = 3, 4; M = Zr, Hf, n = 4), mixed cyclopentadienyl/N,N-dialkylcarbamato (ML_x(O₂CNEt₂)_y; M = Ti, L = Cp, C₅Me₅ (Cp*), x = 2, y = 1; M = Hf, L = Cp, x = 1, y = 3), and N,N-dialkylcarbamato (M(O₂CNR₂)_n, M = Ti, n = 3, R = ⁱPr; M = Ti, Hf, n = 4, R = Et; M = Zr, n = 4, R = ⁱPr) derivatives, with the silanol groups of amorphous silica. Cyclopentadiene/pentamethylcyclopentadiene and/or carbon dioxide and the secondary amine are released in the process. The amount of implanted cations depends on the metal and on the ligands, the pentamethylcyclopentadienyl complex being less reactive than the unsubstituted congener. The starting complexes and the final products have been characterized by EPR or by ¹³C CP-MAS NMR spectroscopy.     

Cobalt(II) coordination compounds with acetate and 2-aminopyridine ligands: Synthesis, characterization, structures and magnetic properties of two polymorphic forms

The synthesis and characterization of two polymorphic modifications of new cobalt coordination compound with 2-aminopyridine are reported. The modifications were prepared by the reaction of a solution of cobalt acetate tetrahydrate and 2-aminopyridine. The crystal structures of both polymorphic modifications have been determined by single-crystal X-ray diffraction analysis. The structures of both modifications are quite similar. In both of them the Co²⁺ is six coordinated by four O atoms from two bidentate chelate acetate ligands and by two N atoms from two 2-aminopyridine molecules. Acetate and 2-aminopyridine ligands are lying cis about the metal centre. The most important difference is in asymmetry of acetate ligand chelate bonding and in H-bonding network. Compounds exhibit an extensive system of intra and intermolecular hydrogen bonding. Magnetic properties of both modifications were studied between 2 K and 300 K giving the result μ_eff = 4.6 BM for modification I and μ_eff = 4.7 BM for modification II in paramagnetic region.     

Clines with partial panmixia

In spatially distributed populations, global panmixia can be regarded as the limiting case of long-distance migration. The effect of incorporating partial panmixia into single-locus clines maintained by migration and selection is investigated. In a diallelic, two-deme model without dominance, partial panmixia can increase or decrease both the polymorphic area in the plane of the migration rates and the equilibrium gene-frequency difference between the two demes. For multiple alleles, under the assumptions that the number of demes is large and both migration and selection are arbitrary but weak, a system of integro-partial differential equations is derived. For two alleles with conservative migration, (i) a Lyapunov functional is found, suggesting generic global convergence of the gene frequency; (ii) conditions for the stability or instability of the fixation states, and hence for a protected polymorphism, are obtained; and (iii) a variational representation of the minimal selection-migration ratio λ₀ (the principal eigenvalue of the linearized system) for protection from loss is used to prove that λ₀ is an increasing function of the panmictic rate and to deduce the effect on λ₀ of changes in selection and migration. The unidimensional step-environment with uniform population density, homogeneous, isotropic migration, and no dominance is examined in detail: An explicit characteristic equation is derived for λ₀; bounds on λ₀ are established; and λ₀ is approximated in four limiting cases. An explicit formula is also deduced for the globally asymptotically stable cline in an unbounded habitat with a symmetric environment; partial panmixia maintains some polymorphism even as the distance from the center of the cline tends to infinity.     

Physiological,morphological and anatomical trait variations between winter and summer leaves of Cistus species

Morphological, anatomical and physiological summer and winter leaf traits of Cistus incanus subsp. incanus, C. salvifolius and C. monspeliensis growing at the Botanical garden of Rome were analyzed. With regard to differences between summer and winter leaves of the considered species, leaf thickness (L) was 21% higher in summer than in winter leaves (mean of the considered species) and this increase was mostly the result of the increased palisade parenchyma thickness over the spongy parenchyma one (24 and 16% higher in summer than in winter leaves, respectively). Leaf mass area (LMA) and leaf tissue density (LTD) were 38% and 17% higher in summer than in winter leaves, respectively (mean of the considered species). The photosynthetic rate (P_N), stomatal conductance (g_s) and chlorophyll content (Chl) of summer leaves were 54%, 17% and 14% lower, respectively, than in winter leaves. C. monspeliensis summer leaves had the highest LMA, LTD, adaxial cuticle thickness (14.6 ± 1.8 mg cm⁻², 1091 ± 94 mg cm⁻³, and 5.8 ± 1.7 μm, respectively) and the lowest mesophyll intercellular spaces (f_ias 38 ± 3%). Moreover, C. monspeliensis had the highest P_N in summer (2.6 ± 0.1 μmol m⁻² s⁻¹) and C. incanus the highest P_N and WUE (84% and 59% higher than the other species) in the favorable period, associated to a higher f_ias (42 ± 2%). C. salvifolius had the highest P_N (54% higher than the other species) in winter. The plasticity index could allow a better interpretation of the habitat preference of the considered species. The physiological plasticity (PI_p = 0.39, mean value of the considered species) was higher than the morphological (PI_m = 0.22, mean value) and anatomical (PI_a = 0.13, mean value) plasticity. Moreover, among the considered species, C. salvifolius and C. incanus are characterized by a larger PI_a (0.14, mean value) which seems to be correlated with their wider ecological distribution and the more favorable conditions of the environments where they naturally occur. The highest PI_m (0.29) of C. monspeliensis indicates that it can play a high adaptive role in highly stressed environments, like fire degraded Mediterranean areas in which it occurs.