Libkrylov: A modular open-source software library for extremely large on-the-fly matrix computations.

We present the design and implementation of libkrylov, an open-source library for solving matrix-free eigenvalue, linear, and shifted linear equations using Krylov subspace methods. The primary objectives of libkrylov are flexible API design and modular structure, which enables integration with specialized matrix-vector evaluation "engines." Libkrylov features pluggable preconditioning, orthonormalization, and tunable convergence control. Diagonal (conjugate gradient, CG), Davidson, and Jacobi-Davidson preconditioners are available, along with orthonormal and nonorthonormal (nKs) schemes. All functionality of libkrylov is exposed via Fortran and C application programming interfaces (APIs). We illustrate the performance of libkrylov for eigenvalue calculations arising in time-dependent density functional theory (TDDFT) in the Tamm-Dancoff approximation (TDA) and discuss the convergence behavior as a function of preconditioning and orthonormalization methods.

Green light exposure aggravates high-fat diet feeding-induced hepatic steatosis and pancreatic dysfunction in male mice.

The increased incidence of metabolic syndrome (MetS) has been demonstrated to be closely associated with external environments, such as unhealthy ambient light exposure. Of note, spectral distribution of the light functions as a critical determinant of light's pathophysiological effects. However, the effects of the lighting spectrum on metabolic homeostasis and the specific target organs remain elusive. To address this concern, we in this study high-fat diet (HFD)-fed obese mice with different spectra of the light, and divided them into white light (WL)-treated group, green light (GL)-treated group and blue light (BL)-treated group. We found that compared with BL- or WL-treated obese mice, animals exposed to GL showed worsened metabolic status, including increased body weight gain, impaired glucose tolerance/insulin sensitivity, increased levels of serum lipids, and decreased levels of serum insulin. At the organ level, GL exposure particularly exacerbated hepatic lipid accumulation and enlarged the islet volume. Taking advantages of metabolomics and transcriptomics analyses, we screened out taurocholic acid (TCA) and adenosine (AD) as two promising metabolites mediating the deleterious effects of GL on the liver and islets, respectively. In detail, GL aggravates HFD-induced lipid synthesis and gluconeogenesis in the liver via the reduction of TCA, while triggering inflammation and cellular dysfunction in islets via the induction of AD. Collectively, our findings confirmed that GL and the HFD have a synergistic effect in the induction of metabolic disorders. DATA AVAILABILITY: All data supported the paper are present in the paper and/or the Supplementary Materials. The original datasets are also available from the corresponding author upon request.

Trace Elements, PPARs, and Metabolic Syndrome.

Metabolic syndrome (MetS) is a constellation of metabolic derangements, including central obesity, insulin resistance, hypertension, glucose intolerance, and dyslipidemia. The pathogenesis of MetS has been intensively studied, and now many factors are recognized to contribute to the development of MetS. Among these, trace elements influence the structure of proteins, enzymes, and complex carbohydrates, and thus an imbalance in trace elements is an independent risk factor for MetS. The molecular link between trace elements and metabolic homeostasis has been established, and peroxisome proliferator-activated receptors (PPARs) have appeared as key regulators bridging these two elements. This is because on one hand, PPARs are actively involved in various metabolic processes, such as abdominal adiposity and insulin sensitivity, and on the other hand, PPARs sensitively respond to changes in trace elements. For example, an iron overload attenuates hepatic mRNA expression of Ppar-α; zinc supplementation is considered to recover the DNA-binding activity of PPAR-α, which is impaired in steatotic mouse liver; selenium administration downregulates mRNA expression of Ppar-γ, thereby improving lipid metabolism and oxidative status in the liver of high-fat diet (HFD)-fed mice. More importantly, PPARs' expression and activity are under the control of the circadian clock and show a robust 24 h rhythmicity, which might be the reasons for the side effects and the clinical limitations of trace elements targeting PPARs. Taken together, understanding the casual relationships among trace elements, PPARs' actions, and the pathogenesis of MetS is of great importance. Further studies are required to explore the chronopharmacological effects of trace elements on the diurnal oscillation of PPARs and the consequent development of MetS.