Fixation probabilities and effective population numbers in diploid populations with overlapping generations

A finite diploid population, observed at times t = 0, 1, 2,…, is studied. An individual is said to be in age group i at time t if its age is between i and i + 1 units at that time, where i ? 1. It is assumed that the number of individuals in a particular age-sex class is the same for every t and that the probability that a male offspring was produced by a mating of a male in age group i and a female in age group j is p_ij^m (with a corresponding probability p^f_ij for a female offspring), regardless of when the individual is born. The probability of ultimate fixation of an allele A₁ and the inbreeding effective number, for large populations, is calculated under the further assumptions that A₁ is neutral and that mating is random, given the ages of the mates.     

The inbreeding effective number and the effective number of alleles in a population that varies in size

Consider a population that does not change in size. If it is assumed that there are an infinite number of possible neutral alleles at a locus and u is the probability that a particular gene mutates to some other gene in one generation, the effective number of alleles n_e is computed to be 4N_eu + 1, where N_e is the inbreeding effective population number. It is assumed in this paper that the number of individuals in a monoecious population, or the numbers of males and females in a dioecious population, are states in a finite irreducible Markov chain. In general it is impossible to obtain a single value of n_e. In some cases where the computation of n_e is possible, the results are as follows. When the population is monoecious, N_e is the reciprocal of the asymptotic average, over population sizes, of the probabilities that two gametes uniting to form an individual came from the same individual one generation earlier. In dioecious populations, N_e is the reciprocal of the long-run average of the probabilities that two homologous genes in separate individuals of one generation came from the same individual one generation earlier. Special cases are discussed.     

Identification of a Functional Homolog of the Yeast Copper Homeostasis Gene ATX1 from Arabidopsis

A cDNA clone encoding a homolog of the yeast (Saccharomyces cerevisiae) gene Anti-oxidant 1 (ATX1) has been identified from Arabidopsis. This gene, referred to as Copper CHaperone (CCH), encodes a protein that is 36% identical to the amino acid sequence of ATX1 and has a 48-amino acid extension at the C-terminal end, which is absent from ATX1 homologs identified in animals. ATX1-deficient yeast (atx1) displayed a loss of high-affinity iron uptake. Expression of CCH in the atx1 strain restored high-affinity iron uptake, demonstrating that CCH is a functional homolog of ATX1. When overexpressed in yeast lacking the superoxide dismutase gene SOD1, both ATX1 and CCH protected the cell from the reactive oxygen toxicity that results from superoxide dismutase deficiency. CCH was unable to rescue the sod1 phenotype in the absence of copper, indicating that CCH function is copper dependent. In Arabidopsis CCH mRNA is present in the root, leaf, and inflorescence and is up-regulated 7-fold in leaves undergoing senescence. In plants treated with 800 nL/L ozone for 30 min, CCH mRNA levels increased by 30%. In excised leaves and whole plants treated with high levels of exogenous CuSO₄, CCH mRNA levels decreased, indicating that CCH is regulated differently than characterized metallothionein proteins in Arabidopsis.     

optix functions as a link between the retinal determination network and the dpp pathway to control morphogenetic furrow progression in Drosophila

optix, the Drosophila ortholog of the SIX3/6 gene family in vertebrate, encodes a homeodomain protein with a SIX protein–protein interaction domain. In vertebrates, Six3/6 genes are required for normal eye as well as brain development. However, the normal function of optix in Drosophila remains unknown due to lack of loss-of-function mutation. Previous studies suggest that optix is likely to play an important role as part of the retinal determination (RD) network. To elucidate normal optix function during retinal development, multiple null alleles for optix have been generated. Loss-of-function mutations in optix result in lethality at the pupae stage. Surprisingly, close examination of its function during eye development reveals that, unlike other members of the RD network, optix is required only for morphogenetic furrow (MF) progression, but not initiation. The mechanisms by which optix regulates MF progression is likely through regulation of signaling molecules in the furrow. Specifically, although unaffected during MF initiation, expression of dpp in the MF is dramatically reduced in optix mutant clones. In parallel, we find that optix is regulated by sine oculis and eyes absent, key members of the RD network. Furthermore, positive feedback between optix and sine oculis and eyes absent is observed, which is likely mediated through dpp signaling pathway. Together with the observation that optix expression does not depend on hh or dpp, we propose that optix functions together with hh to regulate dpp in the MF, serving as a link between the RD network and the patterning pathways controlling normal retinal development.     

Ndrg4 is required for normal myocyte proliferation during early cardiac development in zebrafish

NDRG4 is a novel member of the NDRG family (N-myc downstream-regulated gene). The roles of NDRG4 in development have not previously been evaluated. We show that, during zebrafish embryonic development, ndrg4 is expressed exclusively in the embryonic heart, the central nervous system (CNS) and the sensory system. Ndrg4 knockdown in zebrafish embryos causes a marked reduction in proliferative myocytes and results in hypoplastic hearts. This growth defect is associated with cardiac phenotypes in morphogenesis and function, including abnormal heart looping, inefficient circulation and weak contractility. We reveal that ndrg4 is required for restricting the expression of versican and bmp4 to the developing atrioventricular canal. This constellation of ndrg4 cardiac defects phenocopies those seen in mutant hearts of heartstrings (hst), the tbx5 loss-of-function mutants in zebrafish. We further show that ndrg4 expression is significantly decreased in hearts with reduced tbx5 activities. Conversely, increased expression of tbx5 that is due to tbx20 knockdown leads to an increase in ndrg4 expression. Together, our studies reveal an essential role of ndrg4 in regulating proliferation and growth of cardiomyocytes, suggesting that ndrg4 may function downstream of tbx5 during heart development and growth.     

Genetic organization and transposition properties of IS511

IS511 is an endogenous insertion sequence (IS) of the bacterium Caulobactercrescentus strain CB15 and it is the first Caulobacter IS to be characterized at the molecular level. We determined the 1266-bp nucleotide sequence of IS511 and investigated its genetic organization, relationship to other ISs, and transposition properties. IS511 belongs to a distinct branch of the IS3 family that includes ISRI, IS476, and IS1222, based on nucleotide sequence similarity. The nucleotide sequence of IS511 encodes open reading frames (orfs) designated here as orfA and orfB, and their relative organization and amino acid sequences of the predicted protein products are very similar to those of orfAs and orfBs of other IS3 family members. Nuclease S1 protection assays identified an IS511 RNA, and its 5′ end maps approximately 16 nucleotides upstream of orfA and about six nucleotides downstream of a sequence that is similar to the consensus sequence of C. crescentus housekeeping promoters. Evidence is presented that IS511 is capable of precise excision from the chromosome, and transposition from the chromosome to a plasmid. Transpositional insertions of IS511 occurred within sequences with a relatively high G?+?C content, and they were usually, but not always, flanked by a 4-bp direct repeat that matches a sequence at the site of insertion. We also determined the nucleotide sequence flanking the four endogenous IS511 elements that reside in the chromosome of C. crescentus. Our findings demonstrate that IS511 is a transposable IS that belongs to a branch of the IS3 family.     

The floral transition is not the developmental switch that confers competence for the Arabidopsis age-related resistance response to Pseudomonas syringae pv. tomato

Age-related resistance (ARR) is a plant defense response characterized by enhanced resistance to certain pathogens in mature plants relative to young plants. In Arabidopsis thaliana the transition to flowering is associated with ARR competence, suggesting that this developmental event is the switch that initiates ARR competence in mature plants (Rusterucci et al. in Physiol Mol Plant Pathol 66:222–231, 2005). The association of ARR and the floral transition was examined using flowering-time mutants and photoperiod-induced flowering to separate flowering from other developmental events that occur as plants age. Under short-day conditions, late-flowering plant lines ld-1 (luminidependens-1), soc1-2 (suppressor of overexpression of co 1-2), and FRI ⁺ (FRIGIDA) displayed ARR before the transition to flowering occurred. Early-flowering svp-31, svp-32 (short vegetative phase), and Ws-2 were ARR-defective, whereas early-flowering tfl1-14 (terminal flower 1-14) displayed ARR at the same time as Col-0. While svp-31, svp-32 and Ws-2 produced few rosette leaves, tfl1-14 produced a rosette leaf number similar to Col-0, suggesting that the development of a minimum number of rosette leaves is necessary to initiate ARR competence under short-day conditions. Photoperiod-induced transient expression of FT (FLOWERING LOCUS T) caused precocious flowering in short-day-grown Col-0 but this was not associated with ARR competence. Under long-day conditions co-9 (constans-9) mutants did not flower but displayed an ARR response at the same time as Col-0. This study suggests that SVP is required for the ARR response and that the floral transition is not the developmental event that regulates ARR competence.     

Axillary Meristem Formation in Rice Requires the WUSCHEL Ortholog TILLERS ABSENT1

Axillary shoot formation is a key determinant of plant architecture. Formation of the axillary shoot is regulated by initiation of the axillary meristem or outgrowth of the axillary bud. Here, we show that rice (Oryza sativa) TILLERS ABSENT1 (TAB1; also known as Os WUS), an ortholog of Arabidopsis thaliana WUS, is required to initiate axillary meristem development. We found that formation of the axillary meristem in rice proceeds via a transient state, which we term the premeristem, characterized by the expression of OSH1, a marker of indeterminate cells in the shoot apical meristem. In the tab1-1 (wus-1) mutant, however, formation of the axillary meristem is arrested at various stages of the premeristem zone, and OSH1 expression is highly reduced. TAB1/WUS is expressed in the premeristem zone, where it shows a partially overlapping pattern with OSH1. It is likely, therefore, that TAB1 plays an important role in maintaining the premeristem zone and in promoting the formation of the axillary meristem by promoting OSH1 expression. Temporal expression patterns of WUSCHEL-RELATED HOMEOBOX4 (WOX4) indicate that WOX4 is likely to regulate meristem maintenance instead of TAB1 after establishment of the axillary meristem. Lastly, we show that the prophyll, the first leaf in the secondary axis, is formed from the premeristem zone and not from the axillary meristem.     

A Recombination Directionality Factor Controls the Cell Type-Specific Activation of σK and the Fidelity of Spore Development in Clostridium difficile

The strict anaerobe Clostridium difficile is the most common cause of nosocomial diarrhea, and the oxygen-resistant spores that it forms have a central role in the infectious cycle. The late stages of sporulation require the mother cell regulatory protein σ^K. In Bacillus subtilis, the onset of σ^K activity requires both excision of a prophage-like element (skin^Bs) inserted in the sigK gene and proteolytical removal of an inhibitory pro-sequence. Importantly, the rearrangement is restricted to the mother cell because the skin^Bs recombinase is produced specifically in this cell. In C. difficile, σ^K lacks a pro-sequence but a skin^Cd element is present. The product of the skin^Cd gene CD1231 shares similarity with large serine recombinases. We show that CD1231 is necessary for sporulation and skin^Cd excision. However, contrary to B. subtilis, expression of CD1231 is observed in vegetative cells and in both sporangial compartments. Nevertheless, we show that skin^Cd excision is under the control of mother cell regulatory proteins σ^E and SpoIIID. We then demonstrate that σ^E and SpoIIID control the expression of the skin^Cd gene CD1234, and that this gene is required for sporulation and skin^Cd excision. CD1231 and CD1234 appear to interact and both proteins are required for skin^Cd excision while only CD1231 is necessary for skin^Cd integration. Thus, CD1234 is a recombination directionality factor that delays and restricts skin^Cd excision to the terminal mother cell. Finally, while the skin^Cd element is not essential for sporulation, deletion of skin^Cd results in premature activity of σ^K and in spores with altered surface layers. Thus, skin^Cd excision is a key element controlling the onset of σ^K activity and the fidelity of spore development.     

Molecular phylogeny of the genus Dicronocephalus (Coleoptera,Scarabaeidae, Cetoniinae) based on mtCOI and 16S rRNA genes

The seven species belonging to the genus Dicronocephalus are a very interesting group with a unique appearance and distinct sexual dimorphism. Only one species among them, Dicronocephalus adamsi, has been known in the Korean fauna. This species is recognized as having a wide distribution from Tibet to Korean Peninsula and is currently represented by two subspecies that have separated geographical ranges. The phylogenetic relationships of Dicronocephalus adamsi were still unclear. The phylogeny of Dicronocephalus is reconstructed with a phylogenetic study of five species including four subspecies based on a molecular approach using mitochondrial COI and 16S rRNA genes. Our results are compared with the results obtained by previous authors based on morphological characters. They show that the tested taxa are divided into two major clades. Clade A consists of two species (Dicronocephalus adamsi + Dicranocephalus yui) and Clade B includes the others (Dicronocephalus dabryi + Dicranocephalus uenoi + Dicranocephalus wallichii). This result generally supports Kurosawa’s proposal except that Dicronocephalus dabryi and Dicranocephalus uenoi are newly recognized as members of a monophyletic group. We propose that Dicronocephalus adamsi drumonti is a junior subjective synonym of Dicronocephalus adamsi adamsi. These results show that three members of the Dicranocephalus wallichii group should be treated as species rather than subspecies. However, further research including analyses of different genetic markers is needed to reconfirm our results.     

Simulation of internal transport barriers by means of the canonical profile transport model

Models with critical gradients are widely used to describe energy balance in L-mode discharges. The so-called first critical gradient can be found from the canonical temperature profile. Here, it is suggested that discharge regimes with transport barriers can be described based on the idea of the second critical gradient. If, in a certain plasma region, the pressure gradient exceeds the second critical gradient, then the plasma bifurcates into a new state and a transport barrier forms in this region. This idea was implemented in a modified canonical profile transport model that makes it possible to describe the energy and particle balance in tokamak plasmas with arbitrary cross sections and aspect ratios. The magnitude of the second critical gradient was chosen by comparing the results calculated for several tokamak discharges with the experimental data. It is found that the second critical gradient is related to the magnetic shear s. The criterion of the transport barrier formation has the form (a ²/r)d/drln(p/p _c ) > z ₀ (r), where r is the radial coordinate, a is the plasma minor radius, p is the plasma pressure, p _c is the canonical pressure profile, and the dimensionless function z _O(r) = C _O + C ₁ s (with C _0i ～1, C _0e ～3, and C _1i,e ～2) describes the difference between the first and second critical gradients. Simulations show that this criterion is close to that obtained experimentally in JET. The model constructed here is used to simulate internal transport barriers in the JET, TFTR, DIII-D, and MAST tokamaks. The possible dependence of the second critical gradient on the plasma parameters is discussed.     

Molecular evidence for taxonomy of Rhacophorus appendiculatus and Kurixalus species from northern Vietnam,with comments on systematics of Kurixalus and Gracixalus (Anura: Rhacophoridae)

Phylogeny of Rhacophoridae is constructed using two mitochondrial (12S rRNA and 16S rRNA) and two nuclear (tyrosinase and Rag-1) genes in an attempt to test for the taxonomic status of Rhacophorus appendiculatus and Kurixalus species from Tam Dao. All phylogenetic analyses demonstrate that specimens from Tam Dao are nested in Kurixalus bisacculus, indicating that they belong to K. bisacculus. R. appendiculatus is closer to genus Kurixalus than to other genera with strong support values. In combination with morphological evidence, it is suggested that R. appendiculatus should be placed in Kurixalus. Kurixalus verrucosus is not related to Kurixalus appendiculatus and it is the sister taxon to the clade of K. bisacculus and Kurixalus odontotarsus, which rejects that K. verrucosus is a synonym of K. appendiculatus. The genus Kurixalus needs redefinition by clear synapomorphic characters, and generic status of Kurixalus ananjevae deserves further examination.