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1.
Proc Natl Acad Sci U S A ; 119(24): e2109665119, 2022 Jun 14.
Artigo em Inglês | MEDLINE | ID: mdl-35679347

RESUMO

The information content of crystalline materials becomes astronomical when collective electronic behavior and their fluctuations are taken into account. In the past decade, improvements in source brightness and detector technology at modern X-ray facilities have allowed a dramatically increased fraction of this information to be captured. Now, the primary challenge is to understand and discover scientific principles from big datasets when a comprehensive analysis is beyond human reach. We report the development of an unsupervised machine learning approach, X-ray diffraction (XRD) temperature clustering (X-TEC), that can automatically extract charge density wave order parameters and detect intraunit cell ordering and its fluctuations from a series of high-volume X-ray diffraction measurements taken at multiple temperatures. We benchmark X-TEC with diffraction data on a quasi-skutterudite family of materials, (CaxSr[Formula: see text])3Rh4Sn13, where a quantum critical point is observed as a function of Ca concentration. We apply X-TEC to XRD data on the pyrochlore metal, Cd2Re2O7, to investigate its two much-debated structural phase transitions and uncover the Goldstone mode accompanying them. We demonstrate how unprecedented atomic-scale knowledge can be gained when human researchers connect the X-TEC results to physical principles. Specifically, we extract from the X-TEC-revealed selection rules that the Cd and Re displacements are approximately equal in amplitude but out of phase. This discovery reveals a previously unknown involvement of [Formula: see text] Re, supporting the idea of an electronic origin to the structural order. Our approach can radically transform XRD experiments by allowing in operando data analysis and enabling researchers to refine experiments by discovering interesting regions of phase space on the fly.

2.
Sci Adv ; 8(3): eabj6901, 2022 01 21.
Artigo em Inglês | MEDLINE | ID: mdl-35061543

RESUMO

Hemophilia is a hereditary disease that remains incurable. Although innovative treatments such as gene therapy or bispecific antibody therapy have been introduced, substantial unmet needs still exist with respect to achieving long-lasting therapeutic effects and treatment options for inhibitor patients. Antithrombin (AT), an endogenous negative regulator of thrombin generation, is a potent genome editing target for sustainable treatment of patients with hemophilia A and B. In this study, we developed and optimized lipid nanoparticles (LNPs) to deliver Cas9 mRNA along with single guide RNA that targeted AT in the mouse liver. The LNP-mediated CRISPR-Cas9 delivery resulted in the inhibition of AT that led to improvement in thrombin generation. Bleeding-associated phenotypes were recovered in both hemophilia A and B mice. No active off-targets, liver-induced toxicity, and substantial anti-Cas9 immune responses were detected, indicating that the LNP-mediated CRISPR-Cas9 delivery was a safe and efficient approach for hemophilia therapy.


Assuntos
Hemofilia A , Nanopartículas , Animais , Antitrombinas , Sistemas CRISPR-Cas/genética , Edição de Genes/métodos , Hemofilia A/genética , Hemofilia A/terapia , Humanos , Lipossomos , Camundongos , Trombina/genética
3.
Phys Rev Lett ; 128(15): 157602, 2022 Apr 15.
Artigo em Inglês | MEDLINE | ID: mdl-35499883

RESUMO

Moiré systems provide a rich platform for studies of strong correlation physics. Recent experiments on heterobilayer transition metal dichalcogenide Moiré systems are exciting in that they manifest a relatively simple model system of an extended Hubbard model on a triangular lattice. Inspired by the prospect of the hetero-transition metal dichalcogenide Moiré system's potential as a solid-state-based quantum simulator, we explore the extended Hubbard model on the triangular lattice using the density matrix renormalization group. Specifically, we explore the two-dimensional phase space spanned by the key tuning parameters in the extended Hubbard model, namely, the kinetic energy strength and the further-range Coulomb interaction strengths. We find competition between Fermi fluid, chiral spin liquid, spin density wave, and charge order. In particular, our finding of the optimal further-range interaction for the chiral correlation presents a tantalizing possibility.

4.
Sci Adv ; 8(12): eabk1911, 2022 Mar 25.
Artigo em Inglês | MEDLINE | ID: mdl-35333575

RESUMO

Moiré superlattices constructed from transition metal dichalcogenides have demonstrated a series of emergent phenomena, including moiré excitons, flat bands, and correlated insulating states. All of these phenomena depend crucially on the presence of strong moiré potentials, yet the properties of these moiré potentials, and the mechanisms by which they can be generated, remain largely open questions. Here, we use angle-resolved photoemission spectroscopy with submicron spatial resolution to investigate an aligned WS2/WSe2 moiré superlattice and graphene/WS2/WSe2 trilayer heterostructure. Our experiments reveal that the hybridization between moiré bands in WS2/WSe2 exhibits an unusually large momentum dependence, with the splitting between moiré bands at the Γ point more than an order of magnitude larger than that at K point. In addition, we discover that the same WS2/WSe2 superlattice can imprint an unexpectedly large moiré potential on a third, separate layer of graphene (g/WS2/WSe2), suggesting new avenues for engineering two-dimensional moiré superlattices.

5.
Immune Netw ; 21(4): e28, 2021 Aug.
Artigo em Inglês | MEDLINE | ID: mdl-34522441

RESUMO

Lung-resident memory T cells (TRM) play an essential role in protecting against pulmonary virus infection. Parenteral administration of DNA vaccine is generally not sufficient to induce lung CD8 TRM cells. This study investigates whether intramuscularly administered DNA vaccine expressing the nucleoprotein (NP) induces lung TRM cells and protects against the influenza B virus. The results show that DNA vaccination poorly generates lung TRM cells and massive secondary effector CD8 T cells entering the lungs after challenge infection do not offer sufficient protection. Nonetheless, intranasal administration of non-replicating adenovirus vector expressing no Ag following priming DNA vaccination deploys NP-specific CD8 TRM cells in the lungs, which subsequently offers complete protection. This novel 'prime and deploy' strategy could be a promising regimen for a universal influenza vaccine targeting the conserved NP Ag.

6.
Phys Rev Lett ; 127(4): 046601, 2021 Jul 23.
Artigo em Inglês | MEDLINE | ID: mdl-34355923

RESUMO

Non-Fermi liquid physics is ubiquitous in strongly correlated metals, manifesting itself in anomalous transport properties, such as a T-linear resistivity in experiments. However, its theoretical understanding in terms of microscopic models is lacking, despite decades of conceptual work and attempted numerical simulations. Here we demonstrate that a combination of sign-problem-free quantum Monte Carlo sampling and quantum loop topography, a physics-inspired machine-learning approach, can map out the emergence of non-Fermi liquid physics in the vicinity of a quantum critical point (QCP) with little prior knowledge. Using only three parameter points for training the underlying neural network, we are able to robustly identify a stable non-Fermi liquid regime tracing the fans of metallic QCPs at the onset of both spin-density wave and nematic order. In particular, we establish for the first time that a spin-density wave QCP commands a wide fan of non-Fermi liquid region that funnels into the quantum critical point. Our study thereby provides an important proof-of-principle example that new physics can be detected via unbiased machine-learning approaches.

7.
Nutrients ; 13(6)2021 Jun 11.
Artigo em Inglês | MEDLINE | ID: mdl-34208333

RESUMO

We aimed to investigate the changes in vitamin D levels and factors associated with vitamin D deficiency (VDD) during the first year of life in Korean preterm infants. We enrolled 333 preterm infants who were born at Kyungpook National University Children's Hospital between March 2013 and December 2019. 25-hydroxyvitamin D (25-OHD) levels and medical records were collected at birth, 6 months, and 12 months of age. The mean gestational age was 33.4 ± 2.3 weeks and mean 25-OHD levels at birth were 18.2 ± 13.5 ng/mL. The incidence of VDD was 82.8%, 30.6%, and 27.0% at birth, 6 months, and 12 months, respectively. The incidence of severe VDD (25-OHD < 10 ng/mL) was 31.5%, 1.5%, and 0%, at birth, 6 months, and 12 months, respectively. Among infants with severe VDD, the deficiency persisted in 49.6% at 6 months, and 35.3% at 12 months. The strongest predictor of VDD during follow-up was 25-OHD concentration at birth. Vitamin D supplementation at 400 IU/day did not affect vitamin D levels during the first year of life. Therefore, it is important to prevent neonatal VDD through maternal vitamin D supplementation during pregnancy. Further research is needed to determine the optimal vitamin D supplementation dose for Korean preterm infants.


Assuntos
Doenças do Prematuro/epidemiologia , Deficiência de Vitamina D/epidemiologia , Vitamina D/análogos & derivados , Feminino , Idade Gestacional , Humanos , Incidência , Lactente , Recém-Nascido , Recém-Nascido Prematuro/sangue , Masculino , Fatores de Risco , Vitamina D/sangue , Vitaminas/sangue
8.
Nat Commun ; 12(1): 3905, 2021 06 23.
Artigo em Inglês | MEDLINE | ID: mdl-34162847

RESUMO

Image-like data from quantum systems promises to offer greater insight into the physics of correlated quantum matter. However, the traditional framework of condensed matter physics lacks principled approaches for analyzing such data. Machine learning models are a powerful theoretical tool for analyzing image-like data including many-body snapshots from quantum simulators. Recently, they have successfully distinguished between simulated snapshots that are indistinguishable from one and two point correlation functions. Thus far, the complexity of these models has inhibited new physical insights from such approaches. Here, we develop a set of nonlinearities for use in a neural network architecture that discovers features in the data which are directly interpretable in terms of physical observables. Applied to simulated snapshots produced by two candidate theories approximating the doped Fermi-Hubbard model, we uncover that the key distinguishing features are fourth-order spin-charge correlators. Our approach lends itself well to the construction of simple, versatile, end-to-end interpretable architectures, thus paving the way for new physical insights from machine learning studies of experimental and numerical data.

9.
Phys Rev Lett ; 127(26): 266601, 2021 Dec 24.
Artigo em Inglês | MEDLINE | ID: mdl-35029498

RESUMO

Even as the understanding of the mechanism behind correlated insulating states in magic-angle twisted bilayer graphene converges toward various kinds of spontaneous symmetry breaking, the metallic "normal state" above the insulating transition temperature remains mysterious, with its excessively high entropy and linear-in-temperature resistivity. In this Letter, we focus on the effects of fluctuations of the order parameters describing correlated insulating states at integer fillings of the low-energy flat bands on charge transport. Motivated by the observation of heterogeneity in the order-parameter landscape at zero magnetic field in certain samples, we conjecture the existence of frustrating extended-range interactions in an effective Ising model of the order parameters on a triangular lattice. The competition between short-distance ferromagnetic interactions and frustrating extended-range antiferromagnetic interactions leads to an emergent length scale that forms stripy mesoscale domains above the ordering transition. The gapless fluctuations of these heterogeneous configurations are found to be responsible for the linear-in-temperature resistivity as well as the enhanced low-temperature entropy. Our insights link experimentally observed linear-in-temperature resistivity and enhanced entropy to the strength of frustration or, equivalently, to the emergence of mesoscopic length scales characterizing order-parameter domains.

10.
Nano Lett ; 20(12): 8446-8452, 2020 Dec 09.
Artigo em Inglês | MEDLINE | ID: mdl-33166150

RESUMO

Two-dimensional nanoelectronics, plasmonics, and emergent phases require clean and local charge control, calling for layered, crystalline acceptors or donors. Our Raman, photovoltage, and electrical conductance measurements combined with ab initio calculations establish the large work function and narrow bands of α-RuCl3 enable modulation doping of exfoliated single and bilayer graphene, chemical vapor deposition grown graphene and WSe2, and molecular beam epitaxy grown EuS. We further demonstrate proof of principle photovoltage devices, control via twist angle, and charge transfer through hexagonal boron nitride. Short-ranged lateral doping (≤65 nm) and high homogeneity are achieved in proximate materials with a single layer of α-RuCl3. This leads to the best-reported monolayer graphene mobilities (4900 cm2/(V s)) at these high hole densities (3 × 1013 cm-2) and yields larger charge transfer to bilayer graphene (6 × 1013 cm-2).

11.
Sci Rep ; 10(1): 14259, 2020 08 31.
Artigo em Inglês | MEDLINE | ID: mdl-32868817

RESUMO

This study investigated the chemical profiles of fine urban road dust as a set of indicators for major air pollutants at sampling sites or as proxies for potential human health impacts. We examined the chemical compositions of fine particles (< 100 µm) or re-suspended ultrafine particles (< 2.5 µm) in the urban road dust collected from the cities with major emission sources of CO, NH3, NOx, PM2.5, SOx, and volatile organic compounds. The elemental compositions, including metal contents and volatile or semi-volatile organic compound species were determined to constitute comprehensive chemical profiles of the solid road dust samples. The water-extractable organic compounds and fluorescent species of the size-fractionated re-suspended fine particulate matter (RPM) were also incorporated in the chemical profiles. The metal content and aliphatic hydrocarbons could partly distinguish emission sources, and clearer distinctions were achieved with the inclusion of fluorescence excitation-emission matrix (EEM) results. The dose-response test results showed positive correlations between cytotoxicity and relative abundance of hydrocarbons or metal contents of urban road dust. The set of chemical profiles suggested in this study could be further utilized for site identification or human health impact assessment using urban road dust.


Assuntos
Poeira/análise , Material Particulado/análise , Relação Dose-Resposta a Droga , Fibroblastos/efeitos dos fármacos , Avaliação do Impacto na Saúde , Humanos , Hidrocarbonetos/efeitos adversos , Hidrocarbonetos/análise , Pulmão/citologia , Pulmão/efeitos dos fármacos , Metais/efeitos adversos , Metais/análise , Tamanho da Partícula , Material Particulado/efeitos adversos , Pele/citologia , Pele/efeitos dos fármacos
12.
Proc Natl Acad Sci U S A ; 117(31): 18341-18346, 2020 Aug 04.
Artigo em Inglês | MEDLINE | ID: mdl-32699148

RESUMO

"Strange metals" with resistivity depending linearly on temperature T down to low T have been a long-standing puzzle in condensed matter physics. Here, we consider a lattice model of itinerant spin-[Formula: see text] fermions interacting via onsite Hubbard interaction and random infinite-ranged spin-spin interaction. We show that the quantum critical point associated with the melting of the spin-glass phase by charge fluctuations displays non-Fermi liquid behavior, with local spin dynamics identical to that of the Sachdev-Ye-Kitaev family of models. This extends the quantum spin liquid dynamics previously established in the large-M limit of [Formula: see text] symmetric models to models with physical [Formula: see text] spin-[Formula: see text] electrons. Remarkably, the quantum critical regime also features a Planckian linear-T resistivity associated with a T-linear scattering rate and a frequency dependence of the electronic self-energy consistent with the marginal Fermi liquid phenomenology.

13.
Sci Adv ; 6(10): eaaz4074, 2020 Mar.
Artigo em Inglês | MEDLINE | ID: mdl-32181367

RESUMO

The unusual correlated state that emerges in URu2Si2 below T HO = 17.5 K is known as "hidden order" because even basic characteristics of the order parameter, such as its dimensionality (whether it has one component or two), are "hidden." We use resonant ultrasound spectroscopy to measure the symmetry-resolved elastic anomalies across T HO. We observe no anomalies in the shear elastic moduli, providing strong thermodynamic evidence for a one-component order parameter. We develop a machine learning framework that reaches this conclusion directly from the raw data, even in a crystal that is too small for traditional resonant ultrasound. Our result rules out a broad class of theories of hidden order based on two-component order parameters, and constrains the nature of the fluctuations from which unconventional superconductivity emerges at lower temperature. Our machine learning framework is a powerful new tool for classifying the ubiquitous competing orders in correlated electron systems.

14.
Phys Rev Lett ; 124(10): 106804, 2020 Mar 13.
Artigo em Inglês | MEDLINE | ID: mdl-32216436

RESUMO

Recent developments in twisted and lattice-mismatched bilayers have revealed a rich phase space of van der Waals systems and generated excitement. Among these systems are heterobilayers, which can offer new opportunities to control van der Waals systems with strong in plane correlations such as spin-orbit-assisted Mott insulator α-RuCl_{3}. Nevertheless, a theoretical ab initio framework for mismatched heterobilayers without even approximate periodicity is sorely lacking. We propose a general strategy for calculating electronic properties of such systems, mismatched interface theory (MINT), and apply it to the graphene/α-RuCl_{3} (GR/α-RuCl_{3}) heterostructure. Using MINT, we predict uniform doping of 4.77% from graphene to α-RuCl_{3} and magnetic interactions in α-RuCl_{3} to shift the system toward the Kitaev point. Hence, we demonstrate that MINT can guide targeted materialization of desired model systems and discuss recent experiments on GR/α-RuCl_{3} heterostructures.

15.
J Glaucoma ; 29(1): 1-10, 2020 01.
Artigo em Inglês | MEDLINE | ID: mdl-31688338

RESUMO

PRéCIS:: A single-center retrospective review over a 10-year period discovered an 8.6% risk of developing secondary open-angle glaucoma, and a 6.7% risk of neovascular glaucoma after brachytherapy for uveal melanoma. Additional risk factors were identified. PURPOSE: To report the incidence and identify risk factors for secondary open-angle glaucoma and neovascular glaucoma after iodine-125 brachytherapy for uveal melanoma in a tertiary ocular oncology and glaucoma practice. PATIENTS AND METHODS: Eyes of patients who had been diagnosed and treated with iodine-12 brachytherapy for uveal melanoma over a 10-year period were included for review. Secondary open-angle glaucoma was defined as meeting the following criteria: at least 3 measurements of intraocular pressure (IOP) ≥21 mm Hg after the removal of the iodine-125 plaque and an open angle on gonioscopy. Neovascular glaucoma was defined as meeting the following criteria: at least 3 measurements of IOP ≥21 mm Hg and neovascularization of the iris or anterior chamber angle. Cumulative incidence was calculated and survival analysis was used to analyze risk factors for both secondary open-angle glaucoma and neovascular glaucoma. RESULTS: A total of 374 eyes in patients diagnosed with uveal melanoma and treated with Iodine-125 brachytherapy were included in the study. Thirty-one eyes (8.6%) were diagnosed with secondary open-angle glaucoma and 25 eyes (6.7%) were diagnosed with neovascular glaucoma. Multivariate analysis identified the following risk factors for secondary open-angle glaucoma: older age, greater tumor size, iris location of uveal melanoma, higher baseline IOP, ciliary body involvement, and eyes having undergone combined brachytherapy with vitrectomy and silicone oil placement for radiation attenuation. The risk factors for neovascular glaucoma were as follows: greater tumor size, greater number of pack-years smoking history, pseudophakia, and higher grade of radiation retinopathy severity by fluorescein angiogram. CONCLUSIONS: We have identified additional risk factors for the development of both secondary open-angle glaucoma and neovascular glaucoma in patients with uveal melanoma who have undergone iodine-125 brachytherapy for local tumor control. The risk of secondary glaucoma is substantial. Close ophthalmic monitoring of patients is necessary for detection and timely treatment of glaucoma to maximize visual outcome.


Assuntos
Braquiterapia/efeitos adversos , Glaucoma Neovascular/etiologia , Glaucoma de Ângulo Aberto/etiologia , Radioisótopos do Iodo/efeitos adversos , Melanoma/radioterapia , Neoplasias Uveais/radioterapia , Adulto , Idoso , Feminino , Glaucoma Neovascular/diagnóstico , Glaucoma Neovascular/tratamento farmacológico , Glaucoma de Ângulo Aberto/diagnóstico , Glaucoma de Ângulo Aberto/tratamento farmacológico , Humanos , Incidência , Pressão Intraocular , Masculino , Melanoma/patologia , Pessoa de Meia-Idade , Estudos Retrospectivos , Fatores de Risco , Neoplasias Uveais/patologia
16.
Environ Pollut ; 255(Pt 2): 113156, 2019 Dec.
Artigo em Inglês | MEDLINE | ID: mdl-31563770

RESUMO

This study investigated the chemical components of fine urban road dust from seven sampling sites, based on which we could predict potential human health effects. The elemental compositions, including the contents of metals and volatile or semivolatile organic compounds, were determined to establish comprehensive chemical profiles of solid road dust. The chemical profiles, consisting of C: H ratio, metal contents, and relative abundances of organic compounds, provided a chemical signature for road dust. To overall cytotoxicity values ranging between 7 and 58%, water extracts contributed less than 15%, and cell death mainly occurred via direct contact with solid-phase components, which possibly indicates that the selected chemical profile of solid-phase road dust components could serve as a strong predictor for BJ and WI-38 cytotoxicity. Pure metal oxides (Cr2O3, CuO, Fe2O3, MnO2, NiO, or ZnO) exhibited a positive dose-response, and the corresponding metal contents in solid road dust were well correlated with cell viability. The principal component analysis (PCA) results suggested that the metal contents were stronger predictors of cytotoxicity than the benzene derivative or hydrocarbon contents. The chemical profiles established in this study could be further utilized to identify candidate health hazard factors in road dust.


Assuntos
Poeira/análise , Monitoramento Ambiental , Poluentes Ambientais/análise , Humanos , Compostos de Manganês/análise , Metais/análise , Óxidos/análise
17.
Nature ; 570(7762): 484-490, 2019 06.
Artigo em Inglês | MEDLINE | ID: mdl-31217587

RESUMO

For centuries, the scientific discovery process has been based on systematic human observation and analysis of natural phenomena1. Today, however, automated instrumentation and large-scale data acquisition are generating datasets of such large volume and complexity as to defy conventional scientific methodology. Radically different scientific approaches are needed, and machine learning (ML) shows great promise for research fields such as materials science2-5. Given the success of ML in the analysis of synthetic data representing electronic quantum matter (EQM)6-16, the next challenge is to apply this approach to experimental data-for example, to the arrays of complex electronic-structure images17 obtained from atomic-scale visualization of EQM. Here we report the development and training of a suite of artificial neural networks (ANNs) designed to recognize different types of order hidden in such EQM image arrays. These ANNs are used to analyse an archive of experimentally derived EQM image arrays from carrier-doped copper oxide Mott insulators. In these noisy and complex data, the ANNs discover the existence of a lattice-commensurate, four-unit-cell periodic, translational-symmetry-breaking EQM state. Further, the ANNs determine that this state is unidirectional, revealing a coincident nematic EQM state. Strong-coupling theories of electronic liquid crystals18,19 are consistent with these observations.

18.
Proc Natl Acad Sci U S A ; 116(27): 13249-13254, 2019 Jul 02.
Artigo em Inglês | MEDLINE | ID: mdl-31160468

RESUMO

The CuO2 antiferromagnetic insulator is transformed by hole-doping into an exotic quantum fluid usually referred to as the pseudogap (PG) phase. Its defining characteristic is a strong suppression of the electronic density-of-states D(E) for energies |E| < [Formula: see text], where [Formula: see text] is the PG energy. Unanticipated broken-symmetry phases have been detected by a wide variety of techniques in the PG regime, most significantly a finite-Q density-wave (DW) state and a Q = 0 nematic (NE) state. Sublattice-phase-resolved imaging of electronic structure allows the doping and energy dependence of these distinct broken-symmetry states to be visualized simultaneously. Using this approach, we show that even though their reported ordering temperatures T DW and T NE are unrelated to each other, both the DW and NE states always exhibit their maximum spectral intensity at the same energy, and using independent measurements that this is the PG energy [Formula: see text] Moreover, no new energy-gap opening coincides with the appearance of the DW state (which should theoretically open an energy gap on the Fermi surface), while the observed PG opening coincides with the appearance of the NE state (which should theoretically be incapable of opening a Fermi-surface gap). We demonstrate how this perplexing phenomenology of thermal transitions and energy-gap opening at the breaking of two highly distinct symmetries may be understood as the natural consequence of a vestigial nematic state within the pseudogap phase of Bi2Sr2CaCu2O8.

19.
Sci Adv ; 5(3): eaat4698, 2019 Mar.
Artigo em Inglês | MEDLINE | ID: mdl-30944848

RESUMO

Cooper pairs with a finite center-of-mass momentum form a remarkable state in which the superconducting order parameter is modulated periodically in space. Although intense interest in such a "pair-density wave" (PDW) state has emerged due to recent discoveries in high T c superconductors, there is little theoretical understanding of the mechanism driving this exotic state. The challenge is that many competing states lie close in energy in seemingly simple models, such as the Hubbard model, in the strongly correlated regime. Here, we show that inversion symmetry breaking and the resulting spin-valley locking can promote PDWs over more commonly found spin stripes through frustration against magnetic order. Specifically, we find the first robust evidence for a PDW within density matrix renormalization group simulation of a simple fermionic model. Our results point to a tantalizing possibility in hole-doped group VI transition metal dichalcogenides, with spin-valley locked band structure and moderate correlations.

20.
Int J Hematol ; 109(3): 369-370, 2019 Mar.
Artigo em Inglês | MEDLINE | ID: mdl-30632057

RESUMO

In the original publication of this article, Fig. 2 was published incorrectly.

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