Browsing by Subject "algorithm"
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Item Open Access Active-Space N-Representability Constraints for Variational Two-Particle Reduced Density Matrix Calculations(2010) Shenvi, Neil; Izmaylov, Artur FThe ground-state energy of a system of fermions can be calculated by minimizing a linear functional of the two-particle reduced density matrix (2-RDM) if an accurate set of N-representability conditions is applied. In this Letter we introduce a class of linear N-representability conditions based on exact calculations on a reduced active space. Unlike wave-function-based approaches, the 2-RDM methodology allows us to combine information from calculations on different active spaces. By adding active-space constraints, we can iteratively improve our estimate for the ground-state energy. Applying our methodology to a 1D Hubbard model yields a significant improvement over traditional 2-positivity constraints with the same computational scaling.Item Embargo Expanding Applications of Active-Feedback Single-Molecule Tracking Microscopy in Complex Background Environments Such as Cells.(2024) Niver, AnastasiaActive-feedback single-particle tracking methods are increasingly being applied to in vivo studies. Cellular heterogeneity is both a contributor to anomalous biomolecule behavior (when compared to behavior in dilute solutions) and an ongoing challenge to stable observation using active-feedback methods. Here we develop combined online Bayesian estimation with windowed estimation of background and signal (COBWEBS) in an effort to achieve active-feedback tracking in heterogeneous background environments. In 2D and 3D simulations, COBWEBS stabilizes tracking in complex environments with changing signal and background intensities. Additionally, COBWEBS (and alternative post-processing methods) are applied to experimental data to extract improved particle localizations. Once appropriately calibrated, COBWEBS, along the imaging XY plane, shows accuracy improvements when compared to the current experimentally implemented particle localization algorithm. Evidence suggests that real-time implementation of COBWEBS is possible, and a framework for future development of real-time estimation is presented. An alternative Gaussian fitting post-processing leads to higher accuracy improvements than the COBWEBS approach but cannot be implemented as a real-time particle localization strategy. Next, it is demonstrated that the increased response speed of a galvo scanning mirror in place of the traditional piezoelectric feedback increases overlap of trackable particle speeds with diffusive speeds of intracellular proteins. Finally, 3D active feedback tracking is used to read out static FRET efficiencies from freely-diffusing single molecules, suggesting potential for applications in probing protein dynamics using FRET as a molecular ruler.
Item Open Access Finite density phase transition of QCD with N-f=4 and N-f=2 using canonical ensemble method(2010) Li, A; Alexandru, A; Liu, KF; Meng, XIn a progress toward searching for the QCD critical point, we study the finite density phase transition of N-f = 4 and 2 lattice QCD at finite temperature with the canonical ensemble approach. We develop a winding number expansion method to accurately project out the particle number from the fermion determinant which greatly extends the applicable range of baryon number sectors to make the study feasible. Our lattice simulation was carried out with the clover fermions and improved gauge action. For a given temperature, we calculate the baryon-chemical potential from the canonical approach to look for the mixed phase as a signal for the first-order phase transition. In the case of N-f = 4, we observe an "S-shape'' structure in the chemical potential-density plane due to the surface tension of the mixed phase in a finite volume which is a signal for the first-order phase transition. We use the Maxwell construction to determine the phase boundaries for three temperatures below T-c. The intersecting point of the two extrapolated boundaries turns out to be at the expected first-order transition point at T-c with mu = 0. This serves as a check for our method of identifying the critical point. We also studied the N-f = 2 case, but do not see a signal of the mixed phase for temperature as low as 0.83T(c).Item Open Access Management of Severe Traumatic Brain Injury in Pediatric Patients.(Frontiers in toxicology, 2022-01) Lui, Austin; Kumar, Kevin K; Grant, Gerald AThe optimal management of severe traumatic brain injury (TBI) in the pediatric population has not been well studied. There are a limited number of research articles studying the management of TBI in children. Given the prevalence of severe TBI in the pediatric population, it is crucial to develop a reference TBI management plan for this vulnerable population. In this review, we seek to delineate the differences between severe TBI management in adults and children. Additionally, we also discuss the known molecular pathogenesis of TBI. A better understanding of the pathophysiology of TBI will inform clinical management and development of therapeutics. Finally, we propose a clinical algorithm for the management and treatment of severe TBI in children using published data.