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1.
Theor Popul Biol ; 158: 21-59, 2024 Aug.
Artigo em Inglês | MEDLINE | ID: mdl-38677378

RESUMO

We study the response of a quantitative trait to exponential directional selection in a finite haploid population, both at the genetic and the phenotypic level. We assume an infinite sites model, in which the number of new mutations per generation in the population follows a Poisson distribution (with mean Θ) and each mutation occurs at a new, previously monomorphic site. Mutation effects are beneficial and drawn from a distribution. Sites are unlinked and contribute additively to the trait. Assuming that selection is stronger than random genetic drift, we model the initial phase of the dynamics by a supercritical Galton-Watson process. This enables us to obtain time-dependent results. We show that the copy-number distribution of the mutant in generation n, conditioned on non-extinction until n, is described accurately by the deterministic increase from an initial distribution with mean 1. This distribution is related to the absolutely continuous part W+ of the random variable, typically denoted W, that characterizes the stochasticity accumulating during the mutant's sweep. A suitable transformation yields the approximate dynamics of the mutant frequency distribution in a Wright-Fisher population of size N. Our expression provides a very accurate approximation except when mutant frequencies are close to 1. On this basis, we derive explicitly the (approximate) time dependence of the expected mean and variance of the trait and of the expected number of segregating sites. Unexpectedly, we obtain highly accurate approximations for all times, even for the quasi-stationary phase when the expected per-generation response and the trait variance have equilibrated. The latter refine classical results. In addition, we find that Θ is the main determinant of the pattern of adaptation at the genetic level, i.e., whether the initial allele-frequency dynamics are best described by sweep-like patterns at few loci or small allele-frequency shifts at many. The number of segregating sites is an appropriate indicator for these patterns. The selection strength determines primarily the rate of adaptation. The accuracy of our results is tested by comprehensive simulations in a Wright-Fisher framework. We argue that our results apply to more complex forms of directional selection.


Assuntos
Modelos Genéticos , Herança Multifatorial , Seleção Genética , Mutação , Haploidia , Característica Quantitativa Herdável , Genética Populacional , Fenótipo
2.
Proc Biol Sci ; 290(1994): 20222108, 2023 03 08.
Artigo em Inglês | MEDLINE | ID: mdl-36883275

RESUMO

Upon the secondary contact of populations, speciation with gene flow is greatly facilitated when the same pleiotropic loci are both subject to divergent ecological selection and induce non-random mating, leading to loci with this fortuitous combination of functions being referred to as 'magic trait' loci. We use a population genetics model to examine whether 'pseudomagic trait' complexes, composed of physically linked loci fulfilling these two functions, are as efficient in promoting premating isolation as magic traits. We specifically measure the evolution of choosiness, which controls the strength of assortative mating. We show that, surprisingly, pseudomagic trait complexes, and to a lesser extent also physically unlinked loci, can lead to the evolution of considerably stronger assortative mating preferences than do magic traits, provided polymorphism at the involved loci is maintained. This is because assortative mating preferences are generally favoured when there is a risk of producing maladapted recombinants, as occurs with non-magic trait complexes but not with magic traits (since pleiotropy precludes recombination). Contrary to current belief, magic traits may not be the most effective genetic architecture for promoting strong premating isolation. Therefore, distinguishing between magic traits and pseudomagic trait complexes is important when inferring their role in premating isolation. This calls for further fine-scale genomic research on speciation genes.


Assuntos
Comunicação Celular , Fluxo Gênico , Genômica , Fenótipo , Polimorfismo Genético
3.
Theor Popul Biol ; 153: 69-90, 2023 10.
Artigo em Inglês | MEDLINE | ID: mdl-37451508

RESUMO

Recombination often concentrates in small regions called recombination hotspots where recombination is much higher than the genome's average. In many vertebrates, including humans, gene PRDM9 specifies which DNA motifs will be the target for breaks that initiate recombination, ultimately determining the location of recombination hotspots. Because the sequence that breaks (allowing recombination) is converted into the sequence that does not break (preventing recombination), the latter sequence is over-transmitted to future generations and recombination hotspots are self-destructive. Given their self-destructive nature, recombination hotspots should eventually become extinct in genomes where they are found. While empirical evidence shows that individual hotspots do become inactive over time (die), hotspots are abundant in many vertebrates: a contradiction called the Recombination Hotspot Paradox. What saves recombination hotspots from their foretold extinction? Here we formulate a co-evolutionary model of the interaction among sequence-specific gene conversion, fertility selection, and recurrent mutation. We find that allelic frequencies oscillate leading to stable limit cycles. From a biological perspective this means that when fertility selection is weaker than gene conversion, it cannot stop individual hotspots from dying but can save them from extinction by driving their re-activation (resuscitation). In our model, mutation balances death and resuscitation of hotspots, thus maintaining their number over evolutionary time. Interestingly, we find that multiple alleles result in oscillations that are chaotic and multiple targets in oscillations that are asynchronous between targets thus helping to maintain the average genomic recombination probability constant. Furthermore, we find that the level of expression of PRDM9 should control for the fraction of targets that are hotspots and the overall temperature of the genome. Therefore, our co-evolutionary model improves our understanding of how hotspots may be replaced, thus contributing to solve the Recombination Hotspot Paradox. From a more applied perspective our work provides testable predictions regarding the relation between mutation probability and fertility selection with life expectancy of hotspots.


Assuntos
Conversão Gênica , Recombinação Genética , Humanos , Animais , Mutação , Frequência do Gene , Modelos Genéticos , Histona-Lisina N-Metiltransferase/genética
4.
Theor Popul Biol ; 144: 49-69, 2022 04.
Artigo em Inglês | MEDLINE | ID: mdl-35124094

RESUMO

We study local adaptation of a peripheral population by investigating the fate of new mutations using a haploid two-locus two-allele continent-island migration model. We explore how linkage, epistasis, and maladaptive gene flow affect the invasion probability of weakly beneficial de-novo mutations that arise on the island at an arbitrary physical distance to a locus that already maintains a stable migration-selection polymorphism. By assuming a slightly supercritical branching process, we deduce explicit conditions on the parameters that permit a positive invasion probability and we derive approximations for it. They show how the invasion probability depends on the additive and epistatic effects of the mutant, on its linkage to the polymorphism, and on the migration rate. We use these approximations together with empirically motivated distributions of epistatic effects to analyze the influence of epistasis on the expected invasion probability if mutants are drawn randomly from such a distribution and occur at a random physical distance to the existing polymorphism. We find that the invasion probability generally increases as the epistasis parameter increases or the migration rate decreases, but not necessarily as the recombination rate decreases. Finally, we shed light on the size of emerging genomic islands of divergence by exploring the size of the chromosomal neighborhood of the already established polymorphism in which 50% or 90% of the successfully invading mutations become established. These 'window sizes' always decrease in a reverse sigmoidal way with stronger migration and typically increase with increasing epistatic effect.


Assuntos
Epistasia Genética , Modelos Genéticos , Ilhas Genômicas , Mutação , Recombinação Genética , Seleção Genética
5.
J Hered ; 110(4): 494-513, 2019 07 01.
Artigo em Inglês | MEDLINE | ID: mdl-30715354

RESUMO

With the advent of next-generation sequencing approaches, the search for individual loci underlying local adaptation has become a major enterprise in evolutionary biology. One promising method to identify such loci is to examine genome-wide patterns of differentiation, using an FST-outlier approach. The effects of pleiotropy and epistasis on this approach are not yet known. Here, we model 2 populations of a sexually reproducing, diploid organism with 2 quantitative traits, one of which is involved in local adaptation. We consider genetic architectures with and without pleiotropy and epistasis. We also model neutral marker loci on an explicit genetic map as the 2 populations diverge and apply FST outlier approaches to determine the extent to which quantitative trait loci (QTL) are detectable. Our results show, under a wide range of conditions, that only a small number of QTL are typically responsible for most of the trait divergence between populations, even when inheritance is highly polygenic. We find that the loci making the largest contributions to trait divergence tend to be detectable outliers. These loci also make the largest contributions to within-population genetic variance. The addition of pleiotropy reduces the extent to which quantitative traits can evolve independently but does not reduce the efficacy of outlier scans. The addition of epistasis, however, reduces the mean FST values for causative QTL, making these loci more difficult, but not impossible, to detect in outlier scans.


Assuntos
Adaptação Biológica/genética , Epistasia Genética , Pleiotropia Genética , Genética Populacional , Estudo de Associação Genômica Ampla , Modelos Genéticos , Locos de Características Quantitativas , Algoritmos , Sequenciamento de Nucleotídeos em Larga Escala
6.
JAMA ; 321(10): 983-997, 2019 Mar 12.
Artigo em Inglês | MEDLINE | ID: mdl-30860564

RESUMO

IMPORTANCE: Blood transfusion is one of the most frequently used therapies worldwide and is associated with benefits, risks, and costs. OBJECTIVE: To develop a set of evidence-based recommendations for patient blood management (PBM) and for research. EVIDENCE REVIEW: The scientific committee developed 17 Population/Intervention/Comparison/Outcome (PICO) questions for red blood cell (RBC) transfusion in adult patients in 3 areas: preoperative anemia (3 questions), RBC transfusion thresholds (11 questions), and implementation of PBM programs (3 questions). These questions guided the literature search in 4 biomedical databases (MEDLINE, EMBASE, Cochrane Library, Transfusion Evidence Library), searched from inception to January 2018. Meta-analyses were conducted with the GRADE (Grading of Recommendations, Assessment, Development, and Evaluation) methodology and the Evidence-to-Decision framework by 3 panels including clinical and scientific experts, nurses, patient representatives, and methodologists, to develop clinical recommendations during a consensus conference in Frankfurt/Main, Germany, in April 2018. FINDINGS: From 17 607 literature citations associated with the 17 PICO questions, 145 studies, including 63 randomized clinical trials with 23 143 patients and 82 observational studies with more than 4 million patients, were analyzed. For preoperative anemia, 4 clinical and 3 research recommendations were developed, including the strong recommendation to detect and manage anemia sufficiently early before major elective surgery. For RBC transfusion thresholds, 4 clinical and 6 research recommendations were developed, including 2 strong clinical recommendations for critically ill but clinically stable intensive care patients with or without septic shock (recommended threshold for RBC transfusion, hemoglobin concentration <7 g/dL) as well as for patients undergoing cardiac surgery (recommended threshold for RBC transfusion, hemoglobin concentration <7.5 g/dL). For implementation of PBM programs, 2 clinical and 3 research recommendations were developed, including recommendations to implement comprehensive PBM programs and to use electronic decision support systems (both conditional recommendations) to improve appropriate RBC utilization. CONCLUSIONS AND RELEVANCE: The 2018 PBM International Consensus Conference defined the current status of the PBM evidence base for practice and research purposes and established 10 clinical recommendations and 12 research recommendations for preoperative anemia, RBC transfusion thresholds for adults, and implementation of PBM programs. The relative paucity of strong evidence to answer many of the PICO questions supports the need for additional research and an international consensus for accepted definitions and hemoglobin thresholds, as well as clinically meaningful end points for multicenter trials.


Assuntos
Anemia Ferropriva/diagnóstico , Anemia Ferropriva/tratamento farmacológico , Transfusão de Sangue , Transfusão de Eritrócitos/normas , Hemoglobinas/análise , Cuidados Pré-Operatórios/normas , Anemia/diagnóstico , Perda Sanguínea Cirúrgica/prevenção & controle , Transfusão de Sangue/normas , Procedimentos Cirúrgicos Cardíacos , Cuidados Críticos , Hemorragia Gastrointestinal/terapia , Hematínicos/uso terapêutico , Fraturas do Quadril , Humanos , Ferro/uso terapêutico
7.
J Hered ; 109(7): 825-829, 2018 10 31.
Artigo em Inglês | MEDLINE | ID: mdl-30295862

RESUMO

Genetic variation plays a fundamental role in all models of evolution. For phenotypes composed of multiple quantitative traits, genetic variation is best quantified as additive genetic variances and covariances, as these values determine the rate and trajectory of evolution. Additive genetic variances and covariances are often summarized conveniently in the G-matrix, which has additive genetic variances for each trait on the diagonal and additive genetic covariances as its off-diagonal elements. The evolution of the G-matrix is an interesting topic in its own right, because the processes that affect trait means also affect the distribution of standing genetic variation, which, in turn, feeds back to affect the rate of change of trait means. Theoretical studies of the G-matrix have profitably employed simulation-based models because the topic is often too complex to yield meaningful analytical results. Here, we present a series of G-matrix simulation software packages, which have emerged from about 15 years of research on this topic. These simulation models are useful for research and for building intuition regarding the evolution of the G-matrix under a wide variety of circumstances. A tutorial and source code also provide a foundation upon which future models can be built. These tools will be useful to students as well as researchers.


Assuntos
Pesquisa em Genética , Software , Ensino , Evolução Molecular , Modelos Genéticos
8.
J Math Biol ; 76(1-2): 151-203, 2018 01.
Artigo em Inglês | MEDLINE | ID: mdl-28547213

RESUMO

Two-locus two-allele models are among the most studied models in population genetics. The reason is that they are the simplest models to explore the role of epistasis for a variety of important evolutionary problems, including the maintenance of polymorphism and the evolution of genetic incompatibilities. Many specific types of models have been explored. However, due to the mathematical complexity arising from the fact that epistasis generates linkage disequilibrium, few general insights have emerged. Here, we study a simpler problem by assuming that linkage disequilibrium can be ignored. This is a valid approximation if selection is sufficiently weak relative to recombination. The goal of our paper is to characterize all possible equilibrium structures, or more precisely and general, all robust phase portraits or evolutionary flows arising from this weak-selection dynamics. For general fitness matrices, we have not fully accomplished this goal, because some cases remain undecided. However, for many specific classes of fitness schemes, including additive fitnesses, purely additive-by-additive epistasis, haploid selection, multilinear epistasis, marginal overdominance or underdominance, and the symmetric viability model, we obtain complete characterizations of the possible equilibrium structures and, in several cases, even of all possible phase portraits. A central point in our analysis is the inference of the number and stability of fully polymorphic equilibria from the boundary flow, i.e., from the dynamics at the four marginal single-locus subsystems. The key mathematical ingredient for this is index theory. The specific form of epistasis has both a big influence on the possible boundary flows as well as on the internal equilibrium structure admitted by a given boundary flow.


Assuntos
Evolução Molecular , Modelos Genéticos , Alelos , Animais , Biologia Computacional , Epistasia Genética , Aptidão Genética , Genética Populacional/estatística & dados numéricos , Haploidia , Desequilíbrio de Ligação , Conceitos Matemáticos , Polimorfismo Genético , Seleção Genética
9.
Theor Popul Biol ; 117: 1-22, 2017 10.
Artigo em Inglês | MEDLINE | ID: mdl-28818453

RESUMO

The shape of allele-frequency clines maintained by migration-selection balance depends not only on the properties of migration and selection, but also on the dominance relations among alleles and on linkage to other loci under selection. We investigate a two-locus model in which two diallelic, recombining loci are subject to selection caused by an abrupt environmental change. The habitat is one-dimensional and unbounded, selection at each locus is modeled by step functions such that in one region one allele at each locus is advantageous and in the other deleterious. We admit an environmentally independent, intermediate degree of dominance at both loci, including complete dominance. First, we derive an explicit expression for the single-locus cline with dominance, thus generalizing classical results by Haldane (1948). We show that the slope of the cline in the center (at the step) or, equivalently, the width of the cline, is independent of the degree of dominance. Second, under the assumption of strong recombination relative to selection and migration, the first-order approximations of the allele-frequency clines at each of the loci and of the linkage disequilibrium are derived. This may be interpreted as the quasi-linkage-equilibrium approximation of the two-locus cline. Explicit asymptotic expressions for the clines are deduced as x→±∞. For equivalent loci, explicit expressions for the whole clines are derived. The influence of dominance and of linkage on the slope of the cline in the center and on a global measure of steepness are investigated. This global measure reflects the influence of dominance. Finally, the accuracy of the approximations and the dependence of the shape of the two-locus cline on the full range of recombination rates is explored by numerical integration of the underlying system of partial differential equations.


Assuntos
Frequência do Gene , Modelos Genéticos , Seleção Genética , Migração Animal , Animais , Meio Ambiente , Genótipo , Migração Humana , Humanos , Desequilíbrio de Ligação , Fenótipo
10.
Proc Natl Acad Sci U S A ; 111(22): 8113-8, 2014 Jun 03.
Artigo em Inglês | MEDLINE | ID: mdl-24821767

RESUMO

The pronounced and elaborate displays that often differ between closely related animal species have led to the common assumption that sexual selection is important in speciation, especially in geographically separated populations. We use population genetic models to examine the ability of Fisherian sexual selection to contribute to lasting species differentiation by isolating its effect after the onset of gene flow between allopatric populations. We show that when sexually selected traits are under ecologically divergent selection, the situation most favorable to speciation, mating preferences tend to introgress faster than trait alleles, causing sexual selection to counter the effects of local adaptation. As a consequence, the net amount of trait divergence often drops with stronger Fisherian sexual selection. Furthermore, alleles for progressively weaker preferences spread in this context until sexual selection is removed. The effects of pure Fisherian sexual selection on species maintenance are thus much more inhibitory than previously assumed.


Assuntos
Migração Animal/fisiologia , Genética Populacional/métodos , Preferência de Acasalamento Animal/fisiologia , Modelos Genéticos , Algoritmos , Animais , Evolução Biológica , Feminino , Frequência do Gene , Especiação Genética , Genótipo , Haploidia , Humanos , Desequilíbrio de Ligação , Masculino , Casamento
11.
Mol Ecol ; 25(11): 2542-58, 2016 06.
Artigo em Inglês | MEDLINE | ID: mdl-27206531

RESUMO

Genomic islands are clusters of loci with elevated divergence that are commonly found in population genomic studies of local adaptation and speciation. One explanation for their evolution is that linkage between selected alleles confers a benefit, which increases the establishment probability of new mutations that are linked to existing locally adapted polymorphisms. Previous theory suggested there is only limited potential for the evolution of islands via this mechanism, but involved some simplifying assumptions that may limit the accuracy of this inference. Here, we extend previous analytical approaches to study the effect of linkage on the establishment probability of new mutations and identify parameter regimes that are most likely to lead to evolution of islands via this mechanism. We show how the interplay between migration and selection affects the establishment probability of linked vs. unlinked alleles, the expected maximum size of genomic islands, and the expected time required for their evolution. Our results agree with previous studies, suggesting that this mechanism alone is unlikely to be a general explanation for the evolution of genomic islands. However, this mechanism could occur more readily if there were other pre-adaptations to reduce local rates of recombination or increase the local density of mutational targets within the region of the island. We also show that island formation via erosion following secondary contact is much more rapid than island formation from de novo mutations, suggesting that this mechanism may be more likely.


Assuntos
Alelos , Evolução Molecular , Ligação Genética , Ilhas Genômicas , Modelos Genéticos , Fluxo Gênico , Especiação Genética , Genética Populacional , Mutação , Probabilidade
12.
Int J Med Microbiol ; 305(7): 595-600, 2015 Oct.
Artigo em Inglês | MEDLINE | ID: mdl-26321004

RESUMO

In 1995, in agreement with the German Federal Ministry of Health, the Robert Koch Institute established a public health microbiology system consisting of national reference centers (NRCs) and consultant laboratories (CLs). The goal was to improve the efficiency of infection protection by advising the authorities on possible measures and to supplement infectious disease surveillance by monitoring selected pathogens that have high public health relevance. Currently, there are 19 NRCs and 40 CLs, each appointed for three years. In 2009, an additional system of national networks of NRCs and CLs was set up in order to enhance effectiveness and cooperation within the national reference laboratory system. The aim of these networks was to advance exchange in diagnostic methods and prevention concepts among reference laboratories and to develop geographic coverage of services. In the last two decades, the German public health laboratory reference system coped with all major infectious disease challenges. The European Union and the European Centre for Disease Prevention and Control (ECDC) are considering implementing a European public health microbiology reference laboratory system. The German reference laboratory system should be well prepared to participate actively in this upcoming endeavor.


Assuntos
Controle de Doenças Transmissíveis/métodos , Doenças Transmissíveis/diagnóstico , Doenças Transmissíveis/epidemiologia , Consultores , Laboratórios/organização & administração , Técnicas Microbiológicas/métodos , Administração em Saúde Pública/métodos , Controle de Doenças Transmissíveis/organização & administração , Alemanha/epidemiologia , Humanos
14.
Theor Popul Biol ; 99: 43-66, 2015 Feb.
Artigo em Inglês | MEDLINE | ID: mdl-25446959

RESUMO

The existence, uniqueness, and shape of clines in a quantitative trait under selection toward a spatially varying optimum is studied. The focus is on deterministic diploid two-locus n-deme models subject to various migration patterns and selection scenarios. Migration patterns may exhibit isolation by distance, as in the stepping-stone model, or random dispersal, as in the island model. The phenotypic optimum may change abruptly in a single environmental step, more gradually, or not at all. Symmetry assumptions are imposed on phenotypic optima and migration rates. We study clines in the mean, variance, and linkage disequilibrium (LD). Clines result from polymorphic equilibria. The possible equilibrium configurations are determined as functions of the migration rate. Whereas for weak migration, many polymorphic equilibria may be simultaneously stable, their number decreases with increasing migration rate. Also for intermediate migration rates polymorphic equilibria are in general not unique, however, for loci of equal effects the corresponding clines in the mean, variance, and LD are unique. For sufficiently strong migration, no polymorphism is maintained. Both migration pattern and selection scenario exert strong influence on the existence and shape of clines. The results for discrete demes are compared with those from models in which space varies continuously and dispersal is modeled by diffusion. Comparisons with previous studies, which investigated clines under neutrality or under linkage equilibrium, are performed. If there is no long-distance migration, the environment does not change abruptly, and linkage is not very tight, populations are almost everywhere close to linkage equilibrium.


Assuntos
Modelos Genéticos , Polimorfismo Genético , Seleção Genética/genética , Animais , Diploide , Frequência do Gene , Genótipo , Desequilíbrio de Ligação/genética , Fenótipo , Recombinação Genética/genética
15.
Acta Neuropathol ; 128(4): 463-76, 2014 Oct.
Artigo em Inglês | MEDLINE | ID: mdl-25073522

RESUMO

The misfolding and aggregation of endogenous proteins in the central nervous system is a neuropathological hallmark of Alzheimer's disease (AD), Parkinson's disease (PD), as well as prion diseases. A molecular mechanism referred to as "nucleation-dependent aggregation" is thought to underlie this neuropathological phenomenon. According to this concept, disease-associated protein particles act as nuclei, or seeds, that recruit cellular proteins and incorporate them, in a misfolded form, into their growing aggregate structure. Experimental studies have shown that the aggregation of the AD-associated proteins amyloid-ß (Aß) and tau, and of the PD-associated protein α-synuclein, can be stimulated in laboratory animal models by intracerebral (i.c.) injection of inocula containing aggregated species of the respective proteins. This has raised the question of whether AD or PD can be transmitted, like certain human prion diseases, between individuals by self-propagating protein particles potentially present on medical instruments or in blood or blood products. While the i.c. injection of inocula containing AD- or PD-associated protein aggregates was found to cause neuronal damage and clinical abnormalities (e.g., motor impairments) in some animal models, none of the studies published so far provided evidence for a transmission of severe or even fatal disease. In addition, available epidemiological data do not indicate a transmissibility of AD or PD between humans. The findings published so far on the effects of experimentally transmitted AD- or PD-associated protein seeds do not suggest specific precautionary measures in the context of hemotherapy, but call for vigilance in transfusion medicine and other medical areas.


Assuntos
Doença de Alzheimer/metabolismo , Sistema Nervoso Central/metabolismo , Doença de Parkinson/metabolismo , Príons/metabolismo , Peptídeos beta-Amiloides/metabolismo , Precursor de Proteína beta-Amiloide/metabolismo , Animais , Sistema Nervoso Central/patologia , Humanos , Modelos Moleculares , Príons/genética , Dobramento de Proteína , alfa-Sinucleína/metabolismo , Proteínas tau/metabolismo
16.
Theor Popul Biol ; 94: 42-62, 2014 Jun.
Artigo em Inglês | MEDLINE | ID: mdl-24793653

RESUMO

For a subdivided population the consequences of dominance and gene flow for the maintenance of multilocus polymorphism, local adaptation, and differentiation are investigated. The dispersing population inhabits two demes in which selection acts in opposite direction. Fitness is determined additively by two linked diallelic loci with arbitrary intermediate dominance (no over- or underdominance). For weak as well as strong migration, the equilibrium structure is derived. As a special case, a continuous-time continent-island model (CI model) is analyzed, with one-way migration from the continent to the island. For this CI model, the equilibrium and stability configuration is obtained explicitly for weak migration, for strong migration, for independent loci, and for complete linkage. For independent loci, the possible bifurcation patterns are derived as functions of the migration rate. These patterns depend strongly on the degree of dominance. The effects of dominance, linkage, and migration on the amount of linkage disequilibrium (LD) and the degree of local adaptation are explored. Explicit formulas are obtained for D   (=x1x4-x2x3) and r(2) (the squared correlation in allelic state). They demonstrate that dominant island alleles increase D and decrease r(2). Local adaptation is elevated by dominance of the locally adaptive alleles. The effective migration rate at a linked neutral locus is calculated. If advantageous alleles are dominant, it is decreased only slightly below the actual migration rate. For a quantitative trait that is determined by two additive loci, the influence of dominance on measures of differentiation is studied. Explicit expressions for QST and two types of FST at equilibrium are deduced and their relation is discussed.


Assuntos
Adaptação Fisiológica/fisiologia , Fluxo Gênico/fisiologia , Loci Gênicos/fisiologia , Variação Genética/fisiologia , Migração Humana , Seleção Genética/fisiologia , Humanos , Padrões de Herança/fisiologia , Desequilíbrio de Ligação , Modelos Genéticos
17.
Theor Popul Biol ; 94: 10-41, 2014 Jun.
Artigo em Inglês | MEDLINE | ID: mdl-24726489

RESUMO

The consequences of spatially varying, stabilizing or directional selection on a quantitative trait in a subdivided population are studied. A deterministic two-locus two-deme model is employed to explore the effects of migration, the degree of divergent selection, and the genetic architecture, i.e., the recombination rate and ratio of locus effects, on the maintenance of genetic variation. The possible equilibrium configurations are determined as functions of the migration rate. They depend crucially on the strength of divergent selection and the genetic architecture. The maximum migration rates are investigated below which a stable fully polymorphic equilibrium or a stable single-locus polymorphism can exist. Under stabilizing selection, but with different optima in the demes, strong recombination may facilitate the maintenance of polymorphism. However usually, and in particular with directional selection in opposite direction, the critical migration rates are maximized by a concentrated genetic architecture, i.e., by a major locus and a tightly linked minor one. Thus, complementing previous work on the evolution of genetic architectures in subdivided populations subject to diversifying selection, it is shown that concentrated architectures may aid the maintenance of polymorphism. Conditions are obtained when this is the case. Finally, the dependence of the phenotypic variance, linkage disequilibrium, and various measures of local adaptation and differentiation on the parameters is elaborated.


Assuntos
Fluxo Gênico/fisiologia , Loci Gênicos/fisiologia , Variação Genética/fisiologia , Migração Humana , Seleção Genética/fisiologia , Humanos , Desequilíbrio de Ligação , Modelos Genéticos
18.
J Math Biol ; 68(5): 1135-98, 2014 Apr.
Artigo em Inglês | MEDLINE | ID: mdl-23532261

RESUMO

We consider a population subdivided into two demes connected by migration in which selection acts in opposite direction. We explore the effects of recombination and migration on the maintenance of multilocus polymorphism, on local adaptation, and on differentiation by employing a deterministic model with genic selection on two linked diallelic loci (i.e., no dominance or epistasis). For the following cases, we characterize explicitly the possible equilibrium configurations: weak, strong, highly asymmetric, and super-symmetric migration, no or weak recombination, and independent or strongly recombining loci. For independent loci (linkage equilibrium) and for completely linked loci, we derive the possible bifurcation patterns as functions of the total migration rate, assuming all other parameters are fixed but arbitrary. For these and other cases, we determine analytically the maximum migration rate below which a stable fully polymorphic equilibrium exists. In this case, differentiation and local adaptation are maintained. Their degree is quantified by a new multilocus version of [Formula: see text] and by the migration load, respectively. In addition, we investigate the invasion conditions of locally beneficial mutants and show that linkage to a locus that is already in migration-selection balance facilitates invasion. Hence, loci of much smaller effect can invade than predicted by one-locus theory if linkage is sufficiently tight. We study how this minimum amount of linkage admitting invasion depends on the migration pattern. This suggests the emergence of clusters of locally beneficial mutations, which may form 'genomic islands of divergence'. Finally, the influence of linkage and two-way migration on the effective migration rate at a linked neutral locus is explored. Numerical work complements our analytical results.


Assuntos
Adaptação Fisiológica/genética , Fluxo Gênico/genética , Genética Populacional , Modelos Genéticos , Seleção Genética/genética , Simulação por Computador
19.
Transfus Med Hemother ; 41(4): 303-8, 2014 Jul.
Artigo em Inglês | MEDLINE | ID: mdl-25254026

RESUMO

BACKGROUND: As a consequence of the German Transfusion Act and the corresponding Hemotherapeutic Guidelines of the German Medical Association, the National Advisory Committee Blood approved a recommendation (votum 29) in 2003 to specify students' training in transfusion medicine, hemotherapy, and hemostasis. The objective of this study was to assess the current status of teaching in these fields. METHODS: A questionnaire-based evaluation was performed at the medical schools in Germany (n = 34). Responses were analyzed by descriptive criteria, except for weekly semester hours of teaching. RESULTS: Responses were obtained from 30 medical faculties (88%). Among them, 18 had conducted votum 29 (12 'completely', 6 'essentially'), while 7 had done so only 'in part' and 5 'not at all'. 13 of 30 sites (43%) reported that no faculty-related curriculum in transfusion medicine and hemostasis (hemotherapy) exists. At 28 of 30 medical schools (93%), teaching in transfusion medicine, hemotherapy, and hemostasis is integrated into cross-curricular topics of interdisciplinary programs, including lectures. The corresponding semester hours of teaching per week ranged from 0.5 to 12 h/week. CONCLUSION: Votum 29 is incompletely established. Consequently, academic teaching in transfusion medicine, hemotherapy, and hemostasis requires structural and conceptual improvement to fulfill legal specifications and regulatory constraints.

20.
Ecology ; 92(8): 1582-93, 2011 Aug.
Artigo em Inglês | MEDLINE | ID: mdl-21905425

RESUMO

Natural populations are heterogeneous mixtures of individuals differing in physiology, morphology, and behavior. Despite the ubiquity of phenotypic variation within natural populations, its effects on the dynamics of ecological communities are not well understood. Here, we use a quantitative genetics framework to examine how phenotypic variation in a predator affects the outcome of apparent competition between its two prey species. Classical apparent competition theory predicts that prey have reciprocally negative effects on each other. The addition of phenotypic trait variation in predation can marginalize these negative effects, mediate coexistence, or generate positive indirect effects between the prey species. Long-term coexistence or facilitation, however, can be preceded by long transients of extinction risk whenever the heritability of phenotypic variation is low. Greater heritability can circumvent these ecological transients but also can generate oscillatory and chaotic dynamics. These dramatic changes in ecological outcomes, in the sign of indirect effects, and in stability suggest that studies which ignore intraspecific trait variation may reach fundamentally incorrect conclusions regarding ecological dynamics.


Assuntos
Ecossistema , Variação Genética , Modelos Biológicos , Fenótipo , Comportamento Predatório/fisiologia , Animais , Dinâmica Populacional , Especificidade da Espécie , Fatores de Tempo
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