Modeling the dynamics of glacial cycles

This article is concerned with the dynamics of glacial cycles observed in the geological record of the Pleistocene Epoch. It focuses on a conceptual model proposed by Maasch and Saltzman [J. Geophys. Res.,95, D2 (1990), pp. 1955-1963], which is based on physical arguments and emphasizes the role of atmospheric CO2 in the generation and persistence of periodic orbits (limit cycles). The model consists of three ordinary differential equations with four parameters for the anomalies of the total global ice mass, the atmospheric CO2 concentration, and the volume of the North Atlantic Deep Water (NADW). In this article, it is shown that a simplified two-dimensional symmetric version displays many of the essential features of the full model, including equilibrium states, limit cycles, their basic bifurcations, and a Bogdanov-Takens point that serves as an organizing center for the local and global dynamics. Also, symmetry breaking splits the Bogdanov-Takens point into two, with different local dynamics in their neighborhoods

Two Major Medicinal Honeys Have Different Mechanisms of Bactericidal Activity

Honey is increasingly valued for its antibacterial activity, but knowledge regarding the mechanism of action is still incomplete. We assessed the bactericidal activity and mechanism of action of Revamil® source (RS) honey and manuka honey, the sources of two major medical-grade honeys. RS honey killed Bacillus subtilis, Escherichia coli and Pseudomonas aeruginosa within 2 hours, whereas manuka honey had such rapid activity only against B. subtilis. After 24 hours of incubation, both honeys killed all tested bacteria, including methicillin-resistant Staphylococcus aureus, but manuka honey retained activity up to higher dilutions than RS honey. Bee defensin-1 and H2O2 were the major factors involved in rapid bactericidal activity of RS honey. These factors were absent in manuka honey, but this honey contained 44-fold higher concentrations of methylglyoxal than RS honey. Methylglyoxal was a major bactericidal factor in manuka honey, but after neutralization of this compound manuka honey retained bactericidal activity due to several unknown factors. RS and manuka honey have highly distinct compositions of bactericidal factors, resulting in large differences in bactericidal activity

Molecular Monitoring of RUNX1-RUNX1T1 Transcript Level in Acute Myeloblastic Leukemias on Treatment

Background. The current approach to treatment of acute myeloblastic leukemia (AML) includes the achievement of maximum tumor reduction and, therefore, eradication of a leukemic clone. The goal of the therapy is to achieve undetectable levels of the target gene, except an isolated molecular rearrangement of RUNX1-RUNX1T1. Aim. To estimate the dynamics of the RUNX1-RUNX1T1 level and relevant clinical manifestations during the monitoring of various stages of the program therapy and after its completion. Methods. The article presents a description of 10 cases of AML with isolated RUNX1-RUNX1T1 expression (n = 4) and the expression in combination with different molecular and cytogenetic abnormalities (n = 6). In addition, a long-term monitoring of the gene expression by quantitative determination of RUNX1-RUNX1T1 using a real-time PCR was presented. Results. The incidence of relapses in a group with a decreased RUNX1-RUNX1T1 expression level of >2 log is 75 % as compared to patients with a less significant reduction of the transcript level (with the relapse incidence equal to 0 %) (p = 0.05). The increase of the RUNX1-RUNX1T1 level against the background of bone marrow remission by more than 1 log coincided with a bone marrow relapse within 5–18 weeks. In addition, long-term persistence of a certain transcript level after the completion of a program therapy without relapse is possible. Conclusion. The study analyzed possible molecular background of different clinical outcomes of long-term persistence of the RUNX1-RUNX1T1 transcript that might lead to an individualized approach to AML patients

Chaotic zone in the Bogdanov-Takens bifurcation for diffeomorphisms

We consider a two-parametric analytic family of diffeomorphisms near the Bogdanov-Takens bifurcation. It is known that if the parameters belong to a homoclinic zone, the map has homoclinic points