Magnetically tunable singlet-triplet spin qubit in a four-electron InGaAs coupled quantum dot.

A pair of self-assembled InGaAs quantum dots filled with two electrons can act as a singlet-triplet spin qubit that is robust against nuclear spin fluctuations as well as charge noise. This results in a T2* coherence time two orders of magnitude longer than that of a single electron, provided the qubit is operated at a particular "sweet spot" in gate voltage. However, at this fixed operating point the ground-state splitting can no longer be tuned into resonance with e.g. another qubit, limiting the options for coupling multiple qubits. Here, we propose using a four-electron coupled quantum dot to implement a singlet-triplet qubit that features a magnetically tunable level splitting. As a first step towards full experimental realization of this qubit design, we use optical spectroscopy to demonstrate the tunability of the four-electron singlet-triplet splitting in a moderate magnetic field.

Coherent two-electron spin qubits in an optically active pair of coupled InGaAs quantum dots.

In semiconductors, the T2* coherence time of a single confined spin is limited either by the fluctuating magnetic environment (via the hyperfine interaction), or by charge fluctuations (via the spin-orbit interaction). We demonstrate that both limitations can be overcome simultaneously by using two exchange-coupled electron spins that realize a single decoherence-avoiding qubit. Using coherent population trapping, we generate a coherent superposition of the singlet and triplet states of an optically active quantum dot molecule, and show that the corresponding T2* may exceed 200 ns.

Optical amplification using raman transitions between spin-singlet and spin-triplet states of a pair of coupled in-GaAs quantum dots.

We report the observation of steady-state optical amplification in Raman transitions between the lowest-energy spin states of a single quantum-dot molecule. Absorption and resonance fluorescence experiments demonstrate that the entangled two-electron singlet and triplet states have electric-dipole coupling to a common optically excited state. Fast spin relaxation ensures optical gain on the triplet transition when the singlet transition is driven resonantly. By embedding the quantum-dot molecule in a cavity of modest quality factor, a solid-state single-emitter laser can be realized.

SCPP gene evolution and the dental mineralization continuum.

Many genes critical to vertebrate skeletal mineralization are members of the secretory calcium-binding phosphoprotein (SCPP) gene family, which has evolved by gene duplication from a single ancestral gene. In humans, mutations in some of these SCPP genes have been associated with various diseases related to dentin or enamel hypoplasia. Recently, systematic searches for SCPP genes of various species have allowed us to investigate the history of phylogenetically variable dental tissues as a whole. One important conclusion is that not all disease-associated SCPP genes are present in tetrapods, and teleost fish probably have none, even in toothed species, having acquired their complement of SCPP genes through an independent duplication history. Here, we review comparative analyses of mineralized dental tissues, with particular emphasis on the use of SCPPs, within and between tetrapods and teleosts. Current knowledge suggests a close relationship among bone, dentin, teleost fish enameloid (enamel-like hard tissue), and tetrapod enamel. These tissues thus form a mineralized-tissue continuum. Contemporary dental tissues have evolved from an ancestral continuum through lineage-specific modifications.

Cladistic structure within the human Lipoprotein lipase gene and its implications for phenotypic association studies.

Haplotype variation in 9.7 kb of genomic DNA sequence from the human lipoprotein lipase (LPL) gene was scored in three populations: African-Americans from Jackson, Mississippi (24 individuals), Finns from North Karelia, Finland (24), and non-Hispanic whites from Rochester, Minnesota (23). Earlier analyses had indicated that recombination was common but concentrated into a hotspot and that recurrent mutations at multiple sites may have occurred. We show that much evolutionary structure exists in the haplotype variation on either side of the recombinational hotspot. By peeling off significant recombination events from a tree estimated under the null hypothesis of no recombination, we also reveal some cladistic structure not disrupted by recombination during the time to coalescence of this variation. Additional cladistic structure is estimated to have emerged after recombination. Many apparent multiple mutational events at sites still remain after removing the effects of the detected recombination/gene conversion events. These apparent multiple events are found primarily at sites identified as highly mutable by previous studies, strengthening the conclusion that they are true multiple events. This analysis portrays the complexity of the interplay among many recombinational and mutational events that would be needed to explain the patterns of haplotype diversity in this gene. The cladistic structure in this region is used to identify four to six single-nucleotide polymorphisms (SNPs) that would provide disequilibrium coverage over much of this region. These sites may be useful in identifying phenotypic associations with variable sites in this gene. Evolutionary considerations also imply that the SNPs in the 3' region should have general utility in most human populations, but the 5' SNPs may be more population specific. Choosing SNPs at random would generally not provide adequate disequilibrium coverage of the sequenced region.

Characterization of the lipid-binding properties and lipoprotein lipase inhibition of a novel apolipoprotein C-III variant Ala23Thr.

We have identified a G-to-A transition in exon 3 of the APOC3 gene resulting in a novel Ala23Thr apolipoprotein (apo) C-III variant, associated with apoC-III deficiency in three unrelated Yucatan Indians. The Ala23Thr substitution modifies the hydrophobic/hydrophilic repartition of the helical N-terminal peptide and hence could disturb the lipid association. In vitro expression in Escherichia coli of wild-type and mutant apoC-III enabled the characterization of the variant. Compared with wild-type apoC-III-Ala23, the mutant apoC-III-Thr23 showed reduced affinity for dimyristoylphosphatidylcholine (DMPC) multilamellar vesicles with higher amounts of free apoC-III. Displacement of apoE from discoidal apoE:dipalmitoylphosphatidycholine (DPPC) complex by apoC-III-Thr23 was comparable to wild type but the less efficient binding of the apoC-III-Thr23 to the discoidal complex resulted in a higher apoE/apoC-III (mol/mol) ratio (34%) than with wild-type/apoE:DPPC mixtures. The inhibition of lipoprotein lipase (LPL) by apoC-III-Thr23 was comparable to that of wild type, and therefore effects on LPL activity could not explain the lower triglyceride (Tg) levels in Thr-23 carriers. Thus, these in vitro results suggest that in vivo the less efficient lipid binding of apoC-III-Thr23 might lead to a faster catabolism of free apoC-III, reflected in the reduced plasma apoC-III levels identified in Thr-23 carriers, and poorer competition with apoE, which might enhance clearance of Tg-rich lipoproteins and lower plasma Tg levels seen in Thr-23 carriers.

Sequence diversity and large-scale typing of SNPs in the human apolipoprotein E gene.

A common strategy for genotyping large samples begins with the characterization of human single nucleotide polymorphisms (SNPs) by sequencing candidate regions in a small sample for SNP discovery. This is usually followed by typing in a large sample those sites observed to vary in a smaller sample. We present results from a systematic investigation of variation at the human apolipoprotein E locus (APOE), as well as the evaluation of the two-tiered sampling strategy based on these data. We sequenced 5.5 kb spanning the entire APOE genomic region in a core sample of 72 individuals, including 24 each of African-Americans from Jackson, Mississippi; European-Americans from Rochester, Minnesota; and Europeans from North Karelia, Finland. This sequence survey detected 21 SNPs and 1 multiallelic indel, 14 of which had not been previously reported. Alleles varied in relative frequency among the populations, and 10 sites were polymorphic in only a single population sample. Oligonucleotide ligation assays (OLA) were developed for 20 of these sites (omitting the indel and a closely-linked SNP). These were then scored in 2179 individuals sampled from the same three populations (n = 843, 884, and 452, respectively). Relative allele frequencies were generally consistent with estimates from the core sample, although variation was found in some populations in the larger sample at SNPs that were monomorphic in the corresponding smaller core sample. Site variation in the larger samples showed no systematic deviation from Hardy-Weinberg expectation. The large OLA sample clearly showed that variation in many, but not all, of OLA-typed SNPs is significantly correlated with the classical protein-coding variants, implying that there may be important substructure within the classical epsilon 2, epsilon 3, and epsilon 4 alleles. Comparison of the levels and patterns of polymorphism in the core samples with those estimated for the OLA-typed samples shows how nucleotide diversity is underestimated when only a subset of sites are typed and underscores the importance of adequate population sampling at the polymorphism discovery stage. [The sequence data described in this paper have been submitted to the GenBank data library under accession no. AF261279.]

Apolipoprotein E variation at the sequence haplotype level: implications for the origin and maintenance of a major human polymorphism.

Three common protein isoforms of apolipoprotein E (apoE), encoded by the epsilon2, epsilon3, and epsilon4 alleles of the APOE gene, differ in their association with cardiovascular and Alzheimer's disease risk. To gain a better understanding of the genetic variation underlying this important polymorphism, we identified sequence haplotype variation in 5.5 kb of genomic DNA encompassing the whole of the APOE locus and adjoining flanking regions in 96 individuals from four populations: blacks from Jackson, MS (n=48 chromosomes), Mayans from Campeche, Mexico (n=48), Finns from North Karelia, Finland (n=48), and non-Hispanic whites from Rochester, MN (n=48). In the region sequenced, 23 sites varied (21 single nucleotide polymorphisms, or SNPs, 1 diallelic indel, and 1 multiallelic indel). The 22 diallelic sites defined 31 distinct haplotypes in the sample. The estimate of nucleotide diversity (site-specific heterozygosity) for the locus was 0.0005+/-0.0003. Sequence analysis of the chimpanzee APOE gene showed that it was most closely related to human epsilon4-type haplotypes, differing from the human consensus sequence at 67 synonymous (54 substitutions and 13 indels) and 9 nonsynonymous fixed positions. The evolutionary history of allelic divergence within humans was inferred from the pattern of haplotype relationships. This analysis suggests that haplotypes defining the epsilon3 and epsilon2 alleles are derived from the ancestral epsilon4s and that the epsilon3 group of haplotypes have increased in frequency, relative to epsilon4s, in the past 200,000 years. Substantial heterogeneity exists within all three classes of sequence haplotypes, and there are important interpopulation differences in the sequence variation underlying the protein isoforms that may be relevant to interpreting conflicting reports of phenotypic associations with variation in the common protein isoforms.

Beta-globin gene cluster haplotypes in two North American indigenous populations.

Haplotypes derived from five polymorphic restriction sites were determined in 50 Carrier-Sekani and 70 Mvskoke chromosomes, and the results were integrated with those previously obtained for 11 South American Indian populations. Eleven haplotypes were identified in the Mvskokes, while five were observed in the Carrier-Sekani. As in South American natives, haplotype 2 (+----) and 6 (-++ -+) were the most prevalent among the Mvskoke (46% and 30%, respectively). In the Carrier-Sekani, haplotype 2 was also the most common, but haplotype 5 (-+ -++) was somewhat more frequent (18%) than 6 (12%). High heterozygosities, as well as genetic differentiation, were observed among these two North American and two other South American groups (Mapuche and Xavante). They could be due to non-Indian admixture in the Mvskoke and Mapuche, but the findings in the other two populations require some other type of explanation.

Recombinational and mutational hotspots within the human lipoprotein lipase gene.

Here an analysis is presented of the roles of recombination and mutation in shaping previously determined haplotype variation in 9.7 kb of genomic DNA sequence from the human lipoprotein lipase gene (LPL), scored in 71 individuals from three populations: 24 African Americans, 24 Finns, and 23 non-Hispanic whites. Recombination and gene-conversion events inferred from data on 88 haplotypes that were defined by 69 variable sites were tested. The analysis revealed 29 statistically significant recombination events and one gene-conversion event. The recombination events were concentrated in a 1.9-kb region, near the middle of the segment, that contains a microsatellite and a pair of tandem and complementary mononucleotide runs; both the microsatellite and the runs show length variation. An analysis of site variation revealed that 9.6% of the nucleotides at CpG sites were variable, as were 3% of the nucleotides found in mononucleotide runs of >/=5 nucleotides, 3% of the nucleotides found

Long DOP-PCR of rare archival anthropological samples.

The application of molecular DNA technologies to anthropological questions has meant that rare or archival samples of human remains, including blood, hair, and bone, can now be used as a source of material for genetic analysis. Often, these samples are irreplaceable, and/or yield very small quantities of DNA, so methods for preamplifying as much of the whole genome as possible would greatly enhance their usefulness. DOP-PCR (degenerate oligonucleotide-primed polymerase chain reaction) is an amplification method that uses a degenerate primer and very low initial annealing temperatures to amplify the whole genome. We adapted a published DOP-PCR protocol to long PCR enzyme and amplification conditions. The effectiveness of these modifications was tested by PCR amplification of DOP-PCR products at a mixture of genomic targets including 66 different microsatellites, 11 Alu insertion polymorphisms, and variable-length segments of the human lipoprotein lipase gene (LPL). The selected microsatellite markers were chosen to represent every chromosome, with expected product sizes ranging from 150 base pairs to 8,000 base pairs in length, while the 22 Alu insertion polymorphisms were selected to reveal biases in the recovery of alleles of different sizes. To determine nucleotide sequence variation, 2 kilobases (kb) of the LPL gene in 30 Mongolian individuals were sequenced. All gene-specific targets from DOP-PCR product template were amplified. No unexpected polymorphisms in the sequence results attributable to the DOP-PCR step were found, and 93% to 95% of Alu genotypes that have been amplified from total genomic DNA were replicated. The incorrect typings were all due to the preferential amplification of the shorter of two possible alleles in individuals heterozygous for an Alu insertion and were all correctly typed on subsequent reamplification of the gene-specific PCR products. This method of whole-genome amplification promises to be an efficient way to maximize the genetic use of rare anthropological samples.

Dynamic interactions and the evolutionary genetics of dental patterning.

The mammalian dentition is a segmental, or periodically arranged, organ system whose components are arrayed in specific number and in regionally differentiated locations along the linear axes of the jaws. This arrangement evolved from simpler dentitions comprised of many single-cusp teeth of relatively indeterminate number. The different types of mammalian teeth have subsequently evolved as largely independent units. The experimentally documented developmental autonomy of dental primordia shows that the basic dental pattern is established early in embryogenesis. An understanding of how genetic patterning processes may work must be consistent with the different modes of development, and partially independent evolution, of the upper and lower dentition in mammals. The periodic nature of the location, number, and morphological structure of teeth suggests that processes involving the quantitative interaction of diffusible signaling factors may be involved. Several extracellular signaling molecules and their interactions have been identified that may be responsible for locating teeth along the jaws and for the formation of the incisor field. Similarly, the wavelike expression of signaling factors within developing teeth suggests that dynamic interactions among those factors may be responsible for crown patterns. These factors seem to be similar among different tooth types, but the extent to which crown differences can be explained strictly in terms of variation in the parameters of interactions among the same genes, as opposed to tooth-type-specific combinatorial codes of gene expression, is not yet known. There is evidence that combinatorial expression of intracellular transcription factors, including homeobox gene families, may establish domains within the jaws in which different tooth types are able to develop. An evolutionary perspective can be important for our understanding of dental patterning and the designing of appropriate experimental approaches, but dental patterns also raise basic unresolved questions about the nature of the evolutionary assumptions made in developmental genetics.

An ecological study of association between coronary heart disease mortality rates in men and the relative frequencies of common allelic variations in the gene coding for apolipoprotein E.

Three common alleles, epsilon2, epsilon3, and epsilon4, of the gene coding for apolipoprotein E (apoE) have been identified as predictors of interindividual variation in measures of lipid and lipoprotein metabolism, and ultimately risk of coronary heart disease (CHD), within many populations. Here we evaluated the utility of the geographic distribution of these alleles for prediction of interpopulation variation in average level of serum total cholesterol and other traditional risk factors, and CHD mortality rate. We employed published estimates of the relative frequencies of the three common apoE alleles, average levels of risk factors such as serum total cholesterol, systolic and diastolic blood pressure, body mass index, smoking prevalence and CHD mortality rate for nine population-based samples of middle-aged males studied by the international WHO MONICA Project. There was approximately a 10-fold difference between the highest and lowest CHD mortality rate. Of the traditional risk factors, variation in the average level of serum total cholesterol was the best predictor (approximately 33%) of the observed interpopulation variation in estimates of CHD mortality rate (Pr=0.10). Variation in the relative frequency of the epsilon4 allele predicted approximately 50% of interpopulation variation in average serum total cholesterol level (Pr=0.02) and 75% of the variation in CHD mortality rate (Pr=0.002) when information about variation in the other risk factors and the epsilon2 and epsilon3 alleles is ignored. Furthermore, variation in the relative frequency of the epsilon4 allele predicted approximately 40% of the variation in CHD mortality rate (Pr=0.02) after considering the contribution of variation in average serum total cholesterol level. Average serum total cholesterol level was estimated to increase by 0.114 mmol/l (4.405 mg/dl), and CHD mortality rate by 24.5/100000, for an increase of 0.01 in the relative frequency of the epsilon4 allele. The predictive utility of the epsilon2 and epsilon3 alleles was considerably less than that of the epsilon4 allele. For the sample of populations considered, the geographic distribution of the apoE alleles can be a statistically significant predictor of interpopulation variation in both the average serum total cholesterol level and CHD mortality rate. In particular, the epsilon4 allele may confer valuable ecological risk information.

In search of human variation.

There is widespread interest in documenting the amount and geographic distribution of genetic variation in the human species. This information is desired by the biomedical community, who want a densely packed map of SNP (single nucleotide polymorphism) sites to be used to identify genes associated with disease by linkage disequilibrium between sets of adjacent markers and the occurence of disease in populations, and to characterize disease-related variation among populations. Anthropologists use genetic variation to reconstruct our species' history, and to understand the role of culture and geography in the global distribution of human variation. The requirements for these two perspectives seem to be converging on a need for an accessible, representative DNA bank and statistical database of human variation. However, both fields have been using conceptual models that are oversimplified, and this may lead to unrealistic expectations of the questions that can be answered from genetic data.

Haplotype structure and population genetic inferences from nucleotide-sequence variation in human lipoprotein lipase.

Allelic variation in 9.7 kb of genomic DNA sequence from the human lipoprotein lipase gene (LPL) was scored in 71 healthy individuals (142 chromosomes) from three populations: African Americans (24) from Jackson, MS; Finns (24) from North Karelia, Finland; and non-Hispanic Whites (23) from Rochester, MN. The sequences had a total of 88 variable sites, with a nucleotide diversity (site-specific heterozygosity) of .002+/-.001 across this 9.7-kb region. The frequency spectrum of nucleotide variation exhibited a slight excess of heterozygosity, but, in general, the data fit expectations of the infinite-sites model of mutation and genetic drift. Allele-specific PCR helped resolve linkage phases, and a total of 88 distinct haplotypes were identified. For 1,410 (64%) of the 2,211 site pairs, all four possible gametes were present in these haplotypes, reflecting a rich history of past recombination. Despite the strong evidence for recombination, extensive linkage disequilibrium was observed. The number of haplotypes generally is much greater than the number expected under the infinite-sites model, but there was sufficient multisite linkage disequilibrium to reveal two major clades, which appear to be very old. Variation in this region of LPL may depart from the variation expected under a simple, neutral model, owing to complex historical patterns of population founding, drift, selection, and recombination. These data suggest that the design and interpretation of disease-association studies may not be as straightforward as often is assumed.