Localization in systems of non-identical oscillators

A singular perturbation method is applied to a non-conservative system of two weakly coupled strongly nonlinear non-identical oscillators. For certain parameters, localized solutions exist for which the amplitude of one oscillator is an order of magnitude smaller than the other. It is shown that these solutions are described by coupled equations for the phase difference and scaled amplitudes. Three types of localized solutions are obtained as solutions to these equations which correspond to phase locking, phase drift, and phase entrainment. Quantitative results for the phases and amplitudes of the oscillators and the stability of these phenomena are expressed in terms of the parameters of the model.

Alpha-fetoprotein controls female fertility and prenatal development of the gonadotropin-releasing hormone pathway through an antiestrogenic action

It has been shown previously that female mice homozygous for an alpha-fetoprotein (AFP) null allele are sterile as a result of anovulation, probably due to a defect in the hypothalamic-pituitary axis. Here we show that these female mice exhibit specific anomalies in the expression of numerous genes in the pituitary, including genes involved in the gonadotropin-releasing hormone pathway, which are underexpressed. In the hypothalamus, the gonadotropin-releasing hormone gene, Gnrh1, was also found to be down-regulated. However, pituitary gene expression could be normalized and fertility could be rescued by blocking prenatal estrogen synthesis using an aromatase inhibitor. These results show that AFP protects the developing female brain from the adverse effects of prenatal estrogen exposure and clarify a long-running debate on the role of this fetal protein in brain sexual differentiation.

Anoctamin 1 (Ano1) is required for glucose-induced membrane potential oscillations and insulin secretion by murine β-cells.

Anions such as Cl(-) and HCO3 (-) are well known to play an important role in glucose-stimulated insulin secretion (GSIS). In this study, we demonstrate that glucose-induced Cl(-) efflux from β-cells is mediated by the Ca(2+)-activated Cl(-) channel anoctamin 1 (Ano1). Ano1 expression in rat β-cells is demonstrated by reverse transcriptase-polymerase chain reaction, western blotting, and immunohistochemistry. Typical Ano1 currents are observed in whole-cell and inside-out patches in the presence of intracellular Ca(++): at 1 μM, the Cl(-) current is outwardly rectifying, and at 2 μM, it becomes almost linear. The relative permeabilities of monovalent anions are NO3 (-) (1.83 ± 0.10) > Br(-) (1.42 ± 0.07) > Cl(-) (1.0). A linear single-channel current-voltage relationship shows a conductance of 8.37 pS. These currents are nearly abolished by blocking Ano1 antibodies or by the inhibitors 2-(5-ethyl-4-hydroxy-6-methylpyrimidin-2-ylthio)-N-(4-(4-methoxyphenyl)thiazol-2-yl)acetamide (T-AO1) and tannic acid (TA). These inhibitors induce a strong decrease of 16.7-mM glucose-stimulated action potential rate (at least 87 % on dispersed cells) and a partial membrane repolarization with T-AO1. They abolish or strongly inhibit the GSIS increment at 8.3 mM and at 16.7 mM glucose. Blocking Ano1 antibodies also abolish the 16.7-mM GSIS increment. Combined treatment with bumetanide and acetazolamide in low Cl(-) and HCO3 (-) media provokes a 65 % reduction in action potential (AP) amplitude and a 15-mV AP peak repolarization. Although the mechanism triggering Ano1 opening remains to be established, the present data demonstrate that Ano1 is required to sustain glucose-stimulated membrane potential oscillations and insulin secretion.

CD4+ T cells play an important role in acute experimental pancreatitis in mice

BACKGROUND & AIMS: Few data are available on the potential role of T lymphocytes in experimental acute pancreatitis. The aim of this study was to characterize their role in the inflammatory cascade of acute pancreatitis. METHODS: To type this issue, acute pancreatitis was induced by repeated injections of cerulein in nude mice and in vivo CD4(+) or CD8(+) T cell-depleted mice. The role of T lymphocyte-costimulatory pathways was evaluated using anti-CD40 ligand or anti-B7-1 and -B7-2 monoclonal blocking antibodies. The role of Fas-Fas ligand was explored using Fas ligand-targeted mutant (generalized lymphoproliferative disease) mice. Severity of acute pancreatitis was assessed by serum hydrolase levels and histology. Intrapancreatic interleukin 12, interferon gamma, Fas ligand, and CD40 ligand messenger RNA were detected by reverse-transcription polymerase chain reaction. Intrapancreatic T lymphocytes were identified by immunohistochemistry. RESULTS: In control mice, T cells, most of them CD4(+) T cells, are present in the pancreas and are recruited during acute pancreatitis. In nude mice, histological lesions and serum hydrolase levels are significantly decreased. T-lymphocyte transfer into nude mice partially restores the severity of acute pancreatitis and intrapancreatic interferon gamma, interleukin 12, and Fas ligand gene transcription. The severity of pancreatitis is also reduced by in vivo CD4(+) (but not CD8(+)) T-cell depletion and in Fas ligand-targeted mutant mice. Blocking CD40-CD40 ligand or B7-CD28 costimulatory pathways has no effect on the severity of pancreatitis. CONCLUSIONS: T lymphocytes, particularly CD4(+) T cells, play a pivotal role in the development of tissue injury during acute experimental pancreatitis in mice.