Hopf bifurcation in a stomatal oscillator

Stomata are microscopic openings in leaves of green plants which permit gas exchange. This paper presents a parameter study of a model of a stomatal oscillator first derived by Delwiche and Cooke in 1977. We prove the existence of an unstable limit cycle by using the theory of the Hopf bifurcation. Other bifurcations exhibited by the model are also discussed.     

Arachidonic acid metabolism in the murine eosinophil. III. Effect of nonsteroid anti-inflammatory drugs on lymphokine-directed eosinophil migration in vivo

In vitro studies of murine eosinophils indicated that lymphokine-stimulated metabolism of arachidonic acid by a lipoxygenase pathway was required for a migration response. In this study we tested the effects of drugs that affect arachidonic acid metabolism on lymphokine-dependent eosinophil accumulation in vivo by the use of 111In-labeled eosinophils. Indomethacin at different dosages either stimulated (1 mg/kg) or partially inhibited (5 to 25 mg/kg) eosinophil accumulation. Aspirin had no significant effects in doses up to 50 mg/kg. BW755C, a drug that inhibits both cyclooxygenase and lipoxygenase, dramatically inhibited eosinophil accumulation at 25 to 125 mg/kg. Pretreatment in vitro of 111In-labeled eosinophils with some drugs known to inhibit lipoxygenase reduced their subsequent accumulation at a lymphokine-injected site in vivo, but the high concentrations required for inhibition suggested that the effects of the drugs were at least partially reversible. Pretreatment with indomethacin did not inhibit the ability of 111In-labeled eosinophils to accumulate at the site of lymphokine injection in vivo. It may be anticipated from these results that drugs inhibiting lipoxygenase will have critical effects on manifestations of immunologic reactions that recruit eosinophils.     

Cortisol diurnal patterns,associations with depressive symptoms,and the impact of intervention in older adults: Results using modern robust methods aimed at dealing with low power due to violations of standard assumptions

Advances in salivary bioscience enable the widespread integration of biological measures into the behavioral and social sciences. While theoretical integration has progressed, much less attention has focused on analytical strategies and tactics. The statistical literature warns that common methods for comparing groups and studying associations can have relatively poor power compared to more modern robust techniques. Here we illustrate, in secondary data analyses using the USC Well Elderly II study (n = 460, age 60–95, 66% female), that modern robust methods make a substantial difference when analyzing relations between salivary analyte and behavioral data. Analyses that deal with the diurnal pattern of cortisol and the association of the cortisol awakening response with depressive symptoms and physical well-being are reported. Non-significant results become significant when using improved methods for dealing with skewed distributions and outliers. Analytical strategies and tactics that employ modern robust methods have the potential to reduce the probability of both Type I and Type II errors in studies that compare salivary analytes between groups, across time, or examine associations with salivary analyte levels.     

Increased Adiposity,Dysregulated Glucose Metabolism and Systemic Inflammation in Galectin-3 KO Mice

Obesity and type 2 diabetes are associated with increased production of Galectin-3 (Gal-3), a protein that modulates inflammation and clearance of glucose adducts. We used Lean and Diet-induced Obese (DIO) WT and Gal-3 KO mice to investigate the role of Gal-3 in modulation of adiposity, glucose metabolism and inflammation. Deficiency of Gal-3 lead to age-dependent development of excess adiposity and systemic inflammation, as indicated by elevated production of acute-phase proteins, number of circulating pro-inflammatory Ly6C^high monocytes and development of neutrophilia, microcytic anemia and thrombocytosis in 20-week-old Lean and DIO male Gal-3 KO mice. This was associated with impaired fasting glucose, heightened response to a glucose tolerance test and reduced adipose tissue expression of adiponectin, Gal-12, ATGL and PPARγ, in the presence of maintained insulin sensitivity and hepatic expression of gluconeogenic enzymes in 20-week-old Gal-3 KO mice compared to their diet-matched WT controls. Expression of PGC-1α and FGF-21 in the liver of Lean Gal-3 KO mice was comparable to that observed in DIO animals. Impaired fasting glucose and altered responsiveness to a glucose load preceded development of excess adiposity and systemic inflammation, as demonstrated in 12-week-old Gal-3 KO mice. Finally, a role for the microflora in mediating the fasting hyperglycemia, but not the excessive response to a glucose load, of 12-week-old Gal-3 KO mice was demonstrated by administration of antibiotics. In conclusion, Gal-3 is an important modulator of glucose metabolism, adiposity and inflammation.