Very-high-frequency oscillations in the main peak of a magnetar giant flare.

Magnetars are strongly magnetized, isolated neutron stars1-3 with magnetic fields up to around 1015 gauss, luminosities of approximately 1031-1036 ergs per second and rotation periods of about 0.3-12.0 s. Very energetic giant flares from galactic magnetars (peak luminosities of 1044-1047 ergs per second, lasting approximately 0.1 s) have been detected in hard X-rays and soft γ-rays4, and only one has been detected from outside our galaxy5. During such giant flares, quasi-periodic oscillations (QPOs) with low (less than 150 hertz) and high (greater than 500 hertz) frequencies have been observed6-9, but their statistical significance has been questioned10. High-frequency QPOs have been seen only during the tail phase of the flare9. Here we report the observation of two broad QPOs at approximately 2,132 hertz and 4,250 hertz in the main peak of a giant γ-ray flare11 in the direction of the NGC 253 galaxy12-17, disappearing after 3.5 milliseconds. The flare was detected on 15 April 2020 by the Atmosphere-Space Interactions Monitor instrument18,19 aboard the International Space Station, which was the only instrument that recorded the main burst phase (0.8-3.2 milliseconds) in the full energy range (50 × 103 to 40 × 106 electronvolts) without suffering from saturation effects such as deadtime and pile-up. Along with sudden spectral variations, these extremely high-frequency oscillations in the burst peak are a crucial component that will aid our understanding of magnetar giant flares.

Associations between effort-reward imbalance and risk of burnout among Swedish physicians.

BACKGROUND: The high prevalence of burnout among Swedish physicians may have several possible effects on individuals and society. However, further investigations of work-related factors associated with the risk of burnout among Swedish physicians are needed. AIMS: We aimed to study the associations between psychosocial work factors, based on the effort-reward imbalance (ERI) model, and the risk of burnout among Swedish physicians. METHODS: A representative sample of 7200 Swedish physicians was invited in 2021. Data were gathered through questionnaires, with a response rate of 41%. Logistic regression models were used to study the associations between exposure to ERI and the risk of burnout. RESULTS: Approximately 62% of Swedish physicians were exposed to a high ERI. Exposure to a high ERI was associated with 11 times increased risk (95% confidence interval 6.5-20.0) of burnout in adjusted models. Large variations in the prevalence of ERI and risk of burnout across sociodemographic and occupational factors were identified, particularly across different clinical specialties. CONCLUSIONS: A majority of Swedish physicians were exposed to high levels of work-related stress, strongly associated with an increased risk of burnout. This population-based cross-sectional study underlines the need to further study variations of work-related stress across clinical specialties and to monitor occupational health among physicians longitudinally.

The association between self-treatment and mental health among Swedish physicians.

BACKGROUND: Despite a high prevalence of mental health problems among physicians, the rate of help-seeking behaviour is low. Instead, physicians tend to self-treat. This can have a negative impact on individual physicians and society. AIMS: The aim was to explore the relationship between self-rated depression, the use of psychotropic medication, and the extent of self-treatment across gender and hierarchical position among Swedish physicians. In addition, the aim was to investigate whether social support can buffer against self-treatment. METHODS: This study draws on data from the Longitudinal Occupational Health for Health Care in Sweden 2021 study, comprising a representative sample of physicians. Descriptive statistics and logistic regressions were carried out. RESULTS: The present study showed that approximately 60% of the physicians using narcotic or non-narcotic psychotropic medication were self-prescribing. Male and more senior physicians self-treated to a greater extent. Physicians without depression were self-treating to a greater extent than those with depression. Those who used non-narcotic psychotropic medication intermittently were more likely to self-treat than those who used these medications regularly. The frequency of use was insignificant in relation to self-treatment with narcotic psychotropic medication. No buffering effect from social support at work was found. CONCLUSIONS: Self-treatment was common among physicians in Sweden, particularly among those who reported mild or no symptoms of depression. This may have negative long-term effects on an individual level and for Swedish health care at large.

Ultrasound image analysis using deep neural networks for discriminating between benign and malignant ovarian tumors: comparison with expert subjective assessment.

OBJECTIVES: To develop and test the performance of computerized ultrasound image analysis using deep neural networks (DNNs) in discriminating between benign and malignant ovarian tumors and to compare its diagnostic accuracy with that of subjective assessment (SA) by an ultrasound expert. METHODS: We included 3077 (grayscale, n = 1927; power Doppler, n = 1150) ultrasound images from 758 women with ovarian tumors, who were classified prospectively by expert ultrasound examiners according to IOTA (International Ovarian Tumor Analysis) terms and definitions. Histological outcome from surgery (n = 634) or long-term (≥ 3 years) follow-up (n = 124) served as the gold standard. The dataset was split into a training set (n = 508; 314 benign and 194 malignant), a validation set (n = 100; 60 benign and 40 malignant) and a test set (n = 150; 75 benign and 75 malignant). We used transfer learning on three pre-trained DNNs: VGG16, ResNet50 and MobileNet. Each model was trained, and the outputs calibrated, using temperature scaling. An ensemble of the three models was then used to estimate the probability of malignancy based on all images from a given case. The DNN ensemble classified the tumors as benign or malignant (Ovry-Dx1 model); or as benign, inconclusive or malignant (Ovry-Dx2 model). The diagnostic performance of the DNN models, in terms of sensitivity and specificity, was compared to that of SA for classifying ovarian tumors in the test set. RESULTS: At a sensitivity of 96.0%, Ovry-Dx1 had a specificity similar to that of SA (86.7% vs 88.0%; P = 1.0). Ovry-Dx2 had a sensitivity of 97.1% and a specificity of 93.7%, when designating 12.7% of the lesions as inconclusive. By complimenting Ovry-Dx2 with SA in inconclusive cases, the overall sensitivity (96.0%) and specificity (89.3%) were not significantly different from using SA in all cases (P = 1.0). CONCLUSION: Ultrasound image analysis using DNNs can predict ovarian malignancy with a diagnostic accuracy comparable to that of human expert examiners, indicating that these models may have a role in the triage of women with an ovarian tumor. © 2020 The Authors. Ultrasound in Obstetrics & Gynecology published by John Wiley & Sons Ltd on behalf of International Society of Ultrasound in Obstetrics and Gynecology.

Análisis de imágenes ecográficas utilizando redes neurales profundas para distinguir entre tumores ováricos benignos y malignos: comparación con la evaluación subjetiva de expertos OBJETIVOS: Desarrollar y probar el desempeño del análisis de imágenes ecográficas computarizadas utilizando redes neurales profundas (RNP) para distinguir entre tumores ováricos benignos y malignos y comparar su precisión en el diagnóstico con la de la evaluación subjetiva (ES) por especialistas expertos en ecografía. MÉTODOS: Se incluyeron 3077 (escala de grises, n=1927; power Doppler, n=1150) imágenes de ultrasonido de 758 mujeres con tumores ováricos, que fueron clasificadas prospectivamente por examinadores especialistas en ecografía, de acuerdo con los términos y definiciones de la IOTA (Análisis Internacional de Tumores Ováricos). El resultado histológico de la cirugía (n=634) o el seguimiento a largo plazo (≥3 años) (n=124) sirvieron como el estándar de referencia. El conjunto de datos se dividió en un subconjunto de formación (n=508; 314 benignos y 194 malignos), un subconjunto de validación (n=100; 60 benignos y 40 malignos) y un subconjunto de pruebas (n=150; 75 benignos y 75 malignos). Se utilizó el aprendizaje de transferencia en tres RNP pre-formadas: VGG16, ResNet50 y MobileNet. Cada modelo fue formado primero mediante escalas de temperatura, al igual que los la calibración de los outputs. A continuación, se utilizó una combinación de los tres modelos para estimar la probabilidad de que el tumor fuera maligno con base en la totalidad de las imágenes de un caso determinado. La combinación de RNP permitió clasificar los tumores como benignos o malignos (modelo Ovry-Dx1); o como benignos, no concluyentes o malignos (modelo Ovry-Dx2). Se comparó el desempeño para el diagnóstico de los modelos de RNP, en términos de sensibilidad y de especificidad, con el de la ES para la clasificación de los tumores ováricos en el subconjunto de formación. RESULTADOS: Con una sensibilidad del 96,0%, Ovry-Dx1 tuvo una especificidad similar a la de la ES (86,7% frente a 88,0%; P=1,0). Ovry-Dx2 tuvo una sensibilidad del 97,1% y una especificidad del 93,7%, y designaron un 12,7% de las lesiones como no concluyentes. Cuando se complementó Ovry-Dx2 con ES en los casos no concluyentes, la sensibilidad general (96,0%) y la especificidad (89,3%) no fueron significativamente diferentes de la utilización de ES en todos los casos (P=1,0). CONCLUSIÓN: El análisis de imágenes ecográficas mediante RNP puede predecir el cáncer de ovario con una precisión en el diagnóstico igual a la de los especialistas expertos humanos, lo que indica que estos modelos pueden jugar un papel en el triaje de mujeres con un tumor de ovario. © 2020 The Authors. Ultrasound in Obstetrics & Gynecology published by John Wiley & Sons Ltd on behalf of International Society of Ultrasound in Obstetrics and Gynecology.

Distinct distribution of killer-cell immunoglobulin-like receptor genes in the Mugil and Ilaita areas of Papua New Guinea.

The frequency of the killer-cell immunoglobulin-like receptor (KIR) genes and transmembrane alleles of KIR2DL4 were studied in coastal (Mugil community) and inland (Ilaita community) communities in Papua New Guinea. Linkage disequilibria between KIR genes and between alleles of KIR2DL4 and the KIR genes were similar to those found in other populations suggesting conservation of the usual gene order in Papua New Guinean haplotypes. Significant differences in the frequency of KIR genes were found between the two populations despite being separated by only 300 km. Examples of individuals who lacked the KIR2DL4 gene and others whose KIR2DL4 allele appeared to have 11 adenines in the polyadenine tract in exon 6 were identified. A relatively low frequency of the KIR A haplotype was found in both populations and particularly in the inland community. The KIR gene frequencies were consistent with the inland Ilaita community being closely related to Australian Aborigines and southern Indians, whereas the KIR gene frequencies of the coastal Mugil community appeared to have been influenced either by recent or ancient admixture from populations with a higher frequency of the KIR A haplotype.

Increasing Children's physical Activity by Policy (CAP) in preschools within the Stockholm region: study protocol for a pragmatic cluster-randomized controlled trial.

BACKGROUND: Systematic reviews suggest that preschool environmental/organizational changes may be effective in increasing physical activity (PA) levels of preschool children, but evidence is scarce regarding feasible, effective, and equitable interventions that can be scaled up. Specifically, it is essential to understand whether introducing a multicomponent organizational change in terms of policy in the preschool context may be beneficial for children's PA levels and concomitant health outcomes. To bridge this knowledge gap, our main aim is to examine the feasibility and effectiveness of a policy package in increasing PA levels in preschool children, using a large-scale pragmatic cluster-randomized controlled trial. METHODS: This proposed study is a pragmatic cluster-randomized controlled trial with two conditions (intervention and control with a 1:1 ratio) with preschools as clusters and the unit of randomization. We aim to recruit approximately 4000 3-5-year-old children from 90 preschools and retain more than 2800 children from 85 preschools to provide adequate statistical power for the analyses. The intervention to implement is a co-created, multicomponent policy package running for 6 months in preschools randomized to intervention. Change in accelerometer measured PA levels in children between intervention and control from pre- and post-intervention will be the primary outcome of the study, while secondary outcomes include health outcomes such as musculoskeletal fitness, psychosocial functioning, and absence due to illness in children among others. Implementation will be studied carefully using both quantitative (dose, fidelity) and qualitative (interview) methodologies. The change in primary and secondary outcomes, from pre- to post-intervention, will be analyzed with linear mixed-effect models (to allow both fixed and random effects) nested on a preschool level. DISCUSSION: This is a large-scale co-creation project involving the City of Stockholm, childcare stakeholders, preschool staff, and the research group with the potential to influence more than 30,000 preschool children within the Stockholm area. The study will add reliable evidence for the implementation of PA policies at the organizational level of preschools and clarify its potential effect on objectively measured PA and health markers in children. TRIAL REGISTRATION: ClinicalTrials.gov NCT04569578 . Prospectively registered on September 20, 2020.

Virtual crossmatch approach to maximize matching in paired kidney donation.

We developed and tested a new computer program to match maximal sets of incompatible live donor/recipient pairs from a national paired kidney donation (PKD) registry. Data of 32 incompatible pairs included ABO and 4 digit-high-resolution donor and recipient HLA antigens and recipient's HLA antibodies. Three test runs were compared, in which donors were excluded from matching to recipients with either donor-specific antibodies (DSA) >8000MFI (mean fluorescent intensity) at low-resolution (Run 1) or >8000MFI at high-resolution (Run 2) or >2000MFI and high-resolution (Run 3). Run 1 identified 22 703 possible combinations, with 20 pairs in the top ranked, Run 2 identified 24 113 combinations, with 19 pairs in the top ranked and Run 3 identified 8843 combinations, with 17 pairs in the top ranked. Review of DSA in Run 1 revealed that six recipients had DSA 2000-8000MFI causing a possible positive crossmatch resulting in breakdown of two 3-way and three 2-way chains. In Run 2, four recipients had DSA 2000-8000MFI, also potentially causing breakdown of three 2-way chains. The more prudent approach of excluding from matching recipients with DSA with >2000MFI reduces the probability of matched pairs having a positive crossmatch without significantly decreasing the number of possible transplants.

Extensive deletions and insertions in different MHC supratypes detected by pusled field gel electrophoresis.

The genomic organization of the human MHC was examined in multiple examples of six different supratypes using pulsed field electrophoresis (PFGE) after digestion of genomic DNA with infrequency cutting restriction endonucleases. Differences in restriction fragment length and band intensity were shown to be specific for each supratype. Mapping of the MHC revealed that each supratype contains previously undescribed deletions and insertions between HLA B and DQ regions.

Differences in gene copy number carried by different MHC ancestral haplotypes. Quantitation after physical separation of haplotypes by pulsed field gel electrophoresis.

We have examined the hypothesis that MHC ancestral haplotypes have a specific content of genes regulating the extent of autoimmune reactions. Gene copy number was quantitated by objective densitometry after PFGE was used to separate heterozygous AHs of different lengths. Initially we analyzed examples of known gene copy number at the C4 and 21 hydroxylase loci and showed that the approach provides predictable results. We then studied heterozygotes containing one characterized and one uncharacterized AH with particular attention to the gene copy number at the C4, Cyp21, and DRB loci. Each AH studied has a characteristic gene copy number at each locus studied. The same may be true of TNF, but other possibilities must be considered. AHs are markers for extensive chromosomal segments including particular numbers of several functional genes. Since AHs mark susceptibility to autoimmune disease, differences in gene copy number may be implicated.

Human natural killer (NK) alloreactivity and its association with the major histocompatibility complex: ancestral haplotypes encode particular NK-defined haplotypes.

As ancestral haplotypes of the major histocompatibility complex (MHC) appear to define identical MHC haplotypes in unrelated individuals, unrelated individuals sharing the same ancestral haplotype should also share the same NK-defined allospecificities that have recently been shown to map to the human MHC. To test this prediction, multiple cell lines from unrelated individuals sharing the same ancestral haplotypes were tested for the NK-defined allospecificities. It was found that cells sharing the same ancestral haplotypes do have the same NK-defined specificities. Furthermore, the NK-defined phenotype of cells that possess two different ancestral haplotypes can be predicted from the NK-defined phenotypes of unrelated cells that are homozygous for the ancestral haplotypes concerned. Although the group 1 and 2 NK-defined allospecificities can be explained to some extent by HLA-C alleles, evidence is presented that additional genes may modify the phenotype conferred by HLA-C.

Allergic women show reduced T helper type 1 alloresponses to fetal human leucocyte antigen mismatch during pregnancy.

Low-level alloreactivity between mother and fetus may provide stimulation for fetal T helper type 1 (Th1) cell immune maturation. This study explored the effects of human leucocyte antigen (HLA) mismatch on materno-fetal interactions detected as cytokine responses and lymphoproliferation in mixed lymphocyte reactions, and whether this was altered in allergic women (n = 62) who have a Th2 propensity compared with non-allergic women (n = 65). HLA-DRbeta1 mismatch was associated with significantly increased Th1 interferon (IFN)-gamma, Th2 interleukin (IL)-13 and lymphoproliferative responses by both mothers and fetuses. Allergic women showed significantly lower IFN-gamma Th1 production in response to HLA-DRbeta1 mismatch. The infants of these women also showed significantly lower IL-10 and lower IFN-gamma production relative to IL-13. Both HLA-DRbeta1 mismatch and maternal allergy had significant independent effects on maternal IFN-gamma Th1 responses. Maternal allergy modifies HLA-mediated alloreactivity between the mother and the fetus, reducing Th1 activation. This may affect the cytokine milieu at the materno-fetal interface and could be implicated in the attenuated Th1 responses observed commonly in infants of atopic mothers.

Author Correction: Food-provisioning negatively affects calf survival and female reproductive success in bottlenose dolphins.

An amendment to this paper has been published and can be accessed via a link at the top of the paper.

The genotype of the NK cell receptor, KIR2DL4, influences INFgamma secretion by decidual natural killer cells.

Natural killer (NK) cells are the predominant leukocyte in first trimester decidua and play a role in vascular remodelling through interferon gamma (IFNgamma) secretion. Membrane expression of the killer immunoglobulin-like receptor (KIR) KIR2DL4 on peripheral blood NK (pNK) cells is controlled by the 9A/10A transmembrane genetic polymorphism. On peripheral NK cells (pNK), KIR2DL4 can only be detected on the membrane of cells from individuals with at least one copy of the 10A allele and ligation of KIR2DL4 results in IFNgamma secretion. In this study, we assessed KIR2DL4 expression and IFNgamma secretion as a result of KIR2DL4 ligation, by decidual NK (dNK) cells. The 9A/10A transmembrane polymorphism was shown to control KIR2DL4 expression by dNK, as previously shown for pNK cells. Freshly isolated dNK cells from subjects with at least one 10A allele expressed KIR2DL4 whereas those from 9A homozygous subjects did not. Although freshly isolated dNK did not secrete IFNgamma in response to KIR2DL4 ligation regardless of KIR2DL4 genotype, activation by in vitro culture with IL-2 enabled dNK cells from individuals with at least one 10A allele, but not those without a 10A allele, to secrete IFNgamma in response to KIR2DL4 ligation. This study confirms that expression of KIR2DL4 by dNK is dependent on the 9A/10A polymorphism and that this polymorphism influences IFNgamma secretion by dNK cells.

Food-provisioning negatively affects calf survival and female reproductive success in bottlenose dolphins.

Food-provisioning of wildlife can facilitate reliable up-close encounters desirable by tourists and, consequently, tour operators. Food-provisioning can alter the natural behavior of an animal, encouraging adverse behavior (e.g. begging for food handouts), and affect the reproductive success and the viability of a population. Studies linking food-provisioning to reproductive success are limited due to the lack of long-term datasets available, especially for long-lived species such as marine mammals. In Bunbury, Western Australia, a state-licensed food-provisioning program offers fish handouts to a limited number of free-ranging bottlenose dolphins (Tursiops aduncus). Coupled with long-term historical data, this small (<200 individuals), resident dolphin population has been extensively studied for over ten years, offering an opportunity to examine the effect of food-provisioning on the reproductive success of females (ntotal = 63; nprovisioned females = 8). Female reproductive success was estimated as the number of weaned calves produced per reproductive years and calf survival at year one and three years old was investigated. The mean reproductive success of provisioned and non-provisioned females was compared using Bayes factor. We also used generalized linear models (GLMs) to examine female reproductive success in relation to the occurrence of food-provisioning, begging behavior and location (within the study area). Furthermore, we examined the influence of these variables and birth order and climatic fluctuations (e.g. El Niño Southern Oscillation) on calf survival. Bayes factor analyses (Bayes factor = 6.12) and results from the best fitting GLMs showed that female reproductive success and calf survival were negatively influenced by food-provisioning. The negative effects of food-provisioning, although only affecting a small proportion of the adult females' population (13.2%), are of concern, especially given previous work showing that this population is declining.

Sporadic inclusion body myositis: phenotypic variability and influence of HLA-DR3 in a cohort of 57 Australian cases.

BACKGROUND AND AIMS: There have been few studies of the variability in the clinical phenotype in sporadic inclusion body myositis (sIBM) and it is not known whether the human leucocyte antigen (HLA) haplotype influences the phenotype and course of the disease. We studied a large cohort of patients with sIBM in order to determine the degree of phenotypic variability and different modes of presentation, as well as the influence of HLA haplotypes. METHOD: A cross-sectional study of 57 biopsy-proven sIBM cases from three Australian centres was performed. Patients were interviewed and examined by a single investigator, and had HLA typing and autoantibody studies. RESULTS: Although the initial symptoms in the majority of cases were attributable to quadriceps weakness (79%), a proportion of patients presented due to finger weakness (12%), foot drop (7%) or dysphagia (1.8%). Although the majority had the classic combination of quadriceps and forearm muscle involvement, some patients had predominantly forearm weakness with sparing of the quadriceps, or severe involvement of the anterior tibial muscles. Asymmetrical involvement was common (82%), particularly of the forearm muscles, with the non-dominant side being more severely affected in most cases. Carriage of the HLA-DRB1*0301 (DR3) allele was associated with lower quadriceps muscle strength and a more rapid decline in strength. CONCLUSIONS: The findings emphasise the variability in the mode of presentation, patterns of muscle involvement and clinical course of sIBM in this population, and indicate that the HLA-DRB1*0301 (DR3) allele may influence the rate of progression as well as susceptibility to the disease.

MICA, MICB, and MHC beta block matching in bone marrow transplantation: relevance to transplantation outcome.

Genetic testing of the MHC is required for selection of donors for bone marrow transplantation. The outcome of related bone marrow transplantation is usually superior to that of unrelated bone marrow transplantation. This may be the result of inaccurate or incomplete genetic testing employed for selection of donor for transplantation. Based on MHC haplotype matching, MHC block matching has been developed for selection of potential unrelated donor. Block matching has been shown previously to improve outcome when added to the conventional method of human leukocyte antigen (HLA) typing for selection of donors. In this study, we have retrospectively analyzed 44 donor recipient pairs from the Australian Bone Marrow Donor Registry Repository with respect to matching of HLA-B and HLA-Cw by sequence-based typing and MICA and MICB by polymerase chain reaction-sequence specific primer and MHC beta block matching and correlated these results with survival. Beta block matching was correlated with MIC matching (p < 0.005) and with HLA-B and HLA-Cw matching. Patients who were HLA-B and -Cw matched had significantly improved survival when they were additionally matched for MHC beta block (p(c) = 0.04) or MIC (p(c) = 0.05).

Menopausal hormone therapy and irregular endometrial bleeding: a potential role for uterine natural killer cells?

CONTEXT: Irregular bleeding affects many users of combined menopausal hormone therapy (HT) and commonly leads to invasive and expensive investigations to exclude underlying malignancy. In most cases no abnormality is found. OBJECTIVE: The main objective of this study was to explore the role of uterine natural killer (uNK) cells and their regulatory cytokine IL-15 in irregular bleeding in HT users. DESIGN: This was a prospective observational study conducted between 2002 and 2004. SETTING: The study was conducted in a tertiary referral menopause clinic at King Edward Memorial Hospital, Western Australia. PATIENTS: Patients included 117 postmenopausal women taking combined HT. INTERVENTIONS: Outpatient endometrial biopsies were taken during and outside bleeding episodes. MAIN OUTCOME MEASURES: The relationship between endometrial uNK cells (CD56+) and bleeding patterns was measured. We also addressed the impact of HT exposure on uNK cell populations, the relationship between endometrial IL-15 expression and uNK cell populations, and killer Ig like receptor genotype in subjects with irregular bleeding. RESULTS: Endometrial CD56+ uNK cells were significantly increased in biopsies obtained during bleeding episodes (P < 0.001), compared with HT users with no bleeding. The highest level of IL-15 expression was also seen in biopsies taken during bleeding. No clear relationship between killer Ig like receptor genotype and bleeding on HT was observed. CONCLUSIONS: Little is known about the mechanisms underlying irregular bleeding in HT users. This is the first report of uNK cells and their association with regulating cytokines in postmenopausal endometrium and demonstrates a possible mechanism by which HT may induce irregular bleeding.

Geographical patterns of four polymorphisms in Zoarces viviparus as evidence of selection.

Two unlinked polymorphisms of a marine teleost, one in hemoglobin and one in esterase, show parallel clines through Danish waters, while two unlinked phosphoglucosemutase polymorphisms maintain constant gene frequencies. It is argued that the clinal and the constant polymorphisms cannot be accounted for simultaneously by random genetic drift of selectively neutral genes. It is therefore concluded that selection is responsible for at least one of the two classes of geographical patterns, be it the clinal, the constant, or both.

Evolutionary dynamics of sporophytic self-incompatibility alleles in plants.

The stationary frequency distribution and allelic dynamics in finite populations are analyzed through stochastic simulations in three models of single-locus, multi-allelic sporophytic self-incompatibility. The models differ in the dominance relationships among alleles. In one model, alleles act codominantly in both pollen and style (SSIcod), in the second, alleles form a dominance hierarchy in pollen and style (SSIdom). In the third model, alleles interact codominantly in the style and form a dominance hierarchy in the pollen (SSIdomcod). The SSIcod model behaves similarly to the model of gametophytic self-incompatibility, but the selection intensity is stronger. With dominance, dominant alleles invade the population more easily than recessive alleles and have a lower frequency at equilibrium. In the SSIdom model, recessive alleles have both a higher allele frequency and higher expected life span. In the SSIdomcod model, however, loss due to drift occurs more easily for pollen-recessive than for pollen-dominant alleles, and therefore, dominant alleles have a higher expected life span than the more recessive alleles. The process of allelic turnover in the SSIdomcod and SSIdom models is closely approximated by a random walk on a dominance ladder. Implications of the results for experimental studies of sporophytic self-incompatibility in natural populations are discussed.

Allelic genealogies in sporophytic self-incompatibility systems in plants.

Expectations for the time scale and structure of allelic genealogies in finite populations are formed under three models of sporophytic self-incompatibility. The models differ in the dominance interactions among the alleles that determine the self-incompatibility phenotype: In the SSIcod model, alleles act codominantly in both pollen and style, in the SSIdom model, alleles form a dominance hierarchy, and in SSIdomcod, alleles are codominant in the style and show a dominance hierarchy in the pollen. Coalescence times of alleles rarely differ more than threefold from those under gametophytic self-incompatibility, and transspecific polymorphism is therefore expected to be equally common. The previously reported directional turnover process of alleles in the SSIdomcod model results in coalescence times lower and substitution rates higher than those in the other models. The SSIdom model assumes strong asymmetries in allelic action, and the most recessive extant allele is likely to be the most recent common ancestor. Despite these asymmetries, the expected shape of the allele genealogies does not deviate markedly from the shape of a neutral gene genealogy. The application of the results to sequence surveys of alleles, including interspecific comparisons, is discussed.