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A Bayesian General Linear Modeling Approach to Cortical Surface fMRI Data Analysis
Cortical surface functional magnetic resonance imaging (cs-fMRI) has recently grown in popularity versus traditional volumetric fMRI. In addition to offering better whole-brain visualization, dimension reduction, removal of extraneous tissue types, and improved alignment of cortical areas across subjects, it is also more compatible with common assumptions of Bayesian spatial models. However, as no spatial Bayesian model has been proposed for cs-fMRI data, most analyses continue to employ the classical general linear model (GLM), a “massive univariate” approach. Here, we propose a spatial Bayesian GLM for cs-fMRI, which employs a class of sophisticated spatial processes to model latent activation fields. We make several advances compared with existing spatial Bayesian models for volumetric fMRI. First, we use integrated nested Laplacian approximations, a highly accurate and efficient Bayesian computation technique, rather than variational Bayes. To identify regions of activation, we utilize an excursions set method based on the joint posterior distribution of the latent fields, rather than the marginal distribution at each location. Finally, we propose the first multi-subject spatial Bayesian modeling approach, which addresses a major gap in the existing literature. The methods are very computationally advantageous and are validated through simulation studies and two task fMRI studies from the Human Connectome Project. Supplementary materials for this article, including a standardized description of the materials available for reproducing the work, are available as an online supplement
Evidence for the decays of and
We study the hadronic decays of to the final states and , using an annihilation data sample of 567 pb taken at a center-of-mass energy of 4.6 GeV with the BESIII detector at the BEPCII collider. We find evidence for the decays and with statistical significance of 2.5 and 3.2, respectively. Normalizing to the reference decays and , we obtain the ratios of the branching fractions and to be 0.35±0.16±0.03 and 0.86±0.34±0.07, respectively. The upper limits at the 90\% confidence level are set to be and . Using BESIII measurements of the branching fractions of the reference decays, we determine and (<1.9%). Here, the first uncertainties are statistical and the second systematic. The obtained branching fraction of is consistent with the previous measurement, and the branching fraction of is measured for the first time
Improved measurements of the absolute branching fractions of the inclusive decays
By analyzing 2.93 fb of annihilation data taken at the center-of-mass energy = 3.773 GeV with the BESIII detector, we determine the branching fractions of the inclusive decays and to be (1.135 ± 0.034 ± 0.031)% and (1.091 ± 0.027 ± 0.035)% , respectively, where denotes any possible particle combination. The first uncertainties are statistical, and the second are systematic. We also determine the branching fractions of the decays and their charge conjugate modes separately for the first time, and no significant CP asymmetry is observed
Observation of and improved measurement of
We observe the process for the first time, with a statistical significance higher than 10, and measure the branching fraction of with an improved accuracy compared to earlier studies. The measurements are based on and events collected by the BESIII detector operating at the BEPCII. The branching fractions are determined to be and , where the first uncertainties are statistical and the second ones systematic. Additionally, the mixing angle is determined to be based on , and based on , respectively
Observation of and confirmation of its large branching fraction
The baryonic decay is observed, and the corresponding branching fraction is measured to be (1.21±0.10±0.05)×10, where the first uncertainty is statistical and second systematic. The data sample used in this analysis was collected with the BESIII detector operating at the BEPCII double-ring collider with a center-of-mass energy of 4.178 GeV and an integrated luminosity of 3.19fb. The result confirms the previous measurement by the CLEO Collaboration and is of greatly improved precision, which may deepen our understanding of the dynamical enhancement of the -annihilation topology in the charmed meson decays
Observation of the -Annihilation Decay and Evidence for
We report on the observation of the -annihilation decay and the evidence for with a data sample corresponding to an integrated luminosity of 3.19 fb collected with the BESIII detector at the center-of-mass energy = 4.178 GeV. We obtain the branching fractions and , respectively
Partial-wave analysis of
A partial-wave analysis of the decay has been made using events collected with the BESIII detector in 2009. The analysis, which is performed within the isobar-model approach, reveals contributions from , and decaying to . The two latter states are observed in decays for the first time. Two resonance signals decaying to are also observed. These contributions can not be reliably identified and their possible interpretations are discussed. The measured branching fraction of is more precise than previous results. Branching fractions for the reported contributions are presented as well. The results of the partial-wave analysis differ significantly from those previously obtained by BESII and BABAR
Study of electromagnetic Dalitz decays
Using events collected with the BESIII detector, we search for the decays through the radiative decays , where. The decays are observed, and the corresponding branching fractions are measured to be and , where the first uncertainty is statistical and the second one systematic. No significant decay is observed, and the upper limit on the branching fraction is determined to be at 90% confidence level. Also, we present a study of di-muon invariant mass dependent transition form factor for the decays
Study of the Dalitz decay
We study the electromagnetic Dalitz decay and search for di-electron decays of a dark gauge boson in with the two decay modes and using events collected with the BESIII detector. The branching fraction of is measured to be , with a precision that is improved by a factor of 1.5 over the previous BESIII measurement. The corresponding di-electron invariant mass dependent modulus square of the transition form factor is explored for the first time, and the pole mass is determined to be GeV/. We find no evidence of production and set 90% confidence level upper limits on the product branching fraction as well as the kinetic mixing strength between the Standard Model photon and in the mass range of GeV/
Study of the Decays and
Using an annihilation data sample corresponding to an integrated luminosity of 3.19 fb and collected at a center-of-mass energy = 4.178 GeV with the BESIII detector, we measure the absolute branching fractions and . The branching fraction of is compatible with the world average and that of is measured for the first time. We present the first measurement of the asymmetry in the decays , and . In addition, we measure the direct asymmetries and