Anomalous Power Law Distribution of Total Lifetimes of Branching Processes Relevant to Earthquakes

We consider a branching model of triggered seismicity, the ETAS (epidemic-type aftershock sequence) model which assumes that each earthquake can trigger other earthquakes (``aftershocks''). An aftershock sequence results in this model from the cascade of aftershocks of each past earthquake. Due to the large fluctuations of the number of aftershocks triggered directly by any earthquake (``productivity'' or ``fertility''), there is a large variability of the total number of aftershocks from one sequence to another, for the same mainshock magnitude. We study the regime where the distribution of fertilities $\mu$ is characterized by a power law $\sim 1/\mu^{1+\gamma}$ and the bare Omori law for the memory of previous triggering mothers decays slowly as $\sim 1/t^{1+\theta}$, with $0 < \theta <1$ relevant for earthquakes. Using the tool of generating probability functions and a quasistatic approximation which is shown to be exact asymptotically for large durations, we show that the density distribution of total aftershock lifetimes scales as $\sim 1/t^{1+\theta/\gamma}$ when the average branching ratio is critical ($n=1$). The coefficient $1<\gamma = b/\alpha<2$ quantifies the interplay between the exponent $b \approx 1$ of the Gutenberg-Richter magnitude distribution $\sim 10^{-bm}$ and the increase $\sim 10^{\alpha m}$ of the number of aftershocks with the mainshock magnitude $m$ (productivity) with $\alpha \approx 0.8$. More generally, our results apply to any stochastic branching process with a power-law distribution of offsprings per mother and a long memory.Comment: 16 pages + 4 figure

The circadian clock in adult neural stem cell maintenance

Neural stem cells persist in the adult central nervous system as a continuing source of astrocytes, oligodendrocytes and neurons. Various signalling pathways and transcription factors actively maintain this population by regulating cell cycle entry and exit. Similarly, the circadian clock is interconnected with the cell cycle and actively maintains stem cell populations in various tissues. Here, we discuss emerging evidence for an important role of the circadian clock in neural stem cell maintenance. We propose that the NAD+-dependent deacetylase SIRT1 exerts control over the circadian clock in adult neural stem cell function to limit exhaustion of their population. Conversely, disruption of the circadian clock may compromise neural stem cell quiescence resulting in a premature decline of the neural stem cell population. As such, energy metabolism and the circadian clock converge in adult neural stem cell maintenance

Spatial and temporal lineage analysis of a Pitx3-driven Cre-recombinase knock-in mouse model.

Development and function of mesodiencephalic dopaminergic (mdDA) neurons has received a lot of scientific interest since these neurons are critically involved in neurological diseases as Parkinson and psychiatric diseases as schizophrenia, depression and attention deficit hyperactivity disorder (ADHD). The understanding of the molecular processes that lead to normal development and function of mdDA neurons has provided insight in the pathology and provided critical information on new treatment paradigms. In order to be able to study specific genetic ablation in mdDA neurons a new tools was developed that drives Cre-recombinase under the control of the Pitx3 locus. The Pitx3 gene is well known for its specific expression in mdDA neurons and is present at the onset of terminal differentiation. Analysis of newly generated Pitx3-Cre knock-in mice shows that Cre expression, measured through the activation of eYfp by removal of a "Stop" signal (LoxP-Stop-LoxP-eYfp reporter mouse), is present at the onset of terminal differentiation and mimics closely the native Pitx3 expression domain. In conclusion, we present here a new Cre-driver mouse model to be used in the restricted ablation of interesting genes in mdDA neurons in order to improve our understanding of the underlying molecular programming

Insulin suppresses bile acid synthesis in cultures rat hepatocytes by down regulation of cholesterol 7α-hydroxylase and sterol 27-hydroxylase gene transcription.

Evidence from in vivo studies indicates that the bile acid pool and bile acid excretion are increased in humans with diabetes mellitus and in experimental diabetic animals, and that both parameters return to normal levels after administration of insulin. To investigate the biochemical background of these changes, the effects of insulin on bile acid synthesis and cholesterol 7α-hydroxylase and sterel 27-hydroxylase, two key enzymes in routing of cholesterol toward bile acids, were studied in cultured rat hepatocytes. Mass production of bile acids was dose dependently diminished, showing significant reduction (-33% to -53%) at physiological concentrations of the hormone (1.4 to 14 nmol/L) and a maximal decrease at 140 nmol/L (- 65%). The decrease of bile acid synthesis correlated well with the suppression of cholesterol 7α-hydroxylase and sterol 27-hydroxylase activity. The enzyme activity for cholesterol 7α-hydroxylase, examined in more detail, was dose dependently diminished on incubation of hepatocytes with various concentrations of insulin, reaching maximal reduction at 14 nmol/L of insulin. Maximal decrease of the enzyme activity was seen after 8 hours of incubation (-70%). Insulin strongly reduced the rise in cholesterol 7α-hydroxylase activity induced by incubation with dexamethasone. Sterol 27- hydroxylase activity was inhibited up to -58% after 24 hours of incubation with 140 nmol/L insulin. To study the mechanism of suppression of cholesterol 7α-hydroxylase and sterol 27-hydroxylase activity, the effects of insulin on their respective levels of messenger RNA (mRNA) and gene transcription were assessed. The decrease in enzyme activities could be explained by a concomitant reduction in the cholesterol 7α-hydroxylase (-76%) and sterol 27-hydroxylase (-62%) mRNA level. Transcriptional activity, as assessed by nuclear runoff assays, was decreased to the same extent, i.e., -60% for cholesterol 7α-hydroxylase and -75% for sterol 27-hydroxylase. Transient expression experiments using a construct containing the proximal 348 basepairs of the cholesterol 7α-hydroxylase promoter fused to the chloramphenicol acetyltransferase (CAT) gene (-348Rcat) showed a significant reduction of transcriptional activity (-64%) with insulin, indicating that a sequence important for an insulin-induced transcriptional response is located within the first 348 basepairs, preceding the transcription start of the cholesterol 7α-hydroxylase promoter. We conclude that physiological concentrations of insulin suppress bile acid synthesis by downregulation of cholesterol 7α-hydroxylase and sterol 27-hydroxylase gene transcription, and that this effect is mediated through a direct action of the hormone on the hepatocyte. These results may provide an explanation for the increased bile acid pool and excretion as found in humans with untreated diabetes mellitus and in experimental animals with insulin deficiency. Chemicals/CAS: cholesterol 7alpha monooxygenase, 9037-53-0; insulin, 9004-10-8; oxygenase, 9037-29-0, 9046-59-7; sterol 27 hydroxylase, 134712-57-5; Bile Acids and Salts; Chloramphenicol O-Acetyltransferase, EC 2.3.1.28; Cholesterol 7-alpha-Hydroxylase, EC 1.14.13.17; Cytochrome P-450 Enzyme System, 9035-51-2; cytochrome P-450C27/25, EC 1.14.-; Insulin, 11061-68-0; Membrane Glycoproteins; nuclear pore glycoprotein gp210; Nuclear Proteins; RNA, Messenger; Steroid Hydroxylases, EC 1.14.

FoxK2 is required for cellular proliferation and survival

FoxK2 is a forkhead transcription factor expressed ubiquitously in the developing murine central nervous system. Here we investigated the role of FoxK2 in vitro and focused on proliferation and cellular survival. Knockdown of FoxK2 results in a decrease in BrdU incorporation and H3 phosphorylation, suggesting attenuation of proliferation. In the absence of growth factors FoxK2 knockdown results in a dramatic increase in caspase 3 activity and propidium iodide positive cells, indicative of cell death. Additionally, knockdown of FoxK2 results in an increase in the mRNA of Gadd45α, Gadd45γ, as well as an increase in the phosphorylation of the mTOR dependent kinase p70S6K. Rapamycin treatment completely blocked the increase in p70S6K and synergistically potentiated the decrease in H3 phosphorylation upon FoxK2 knockdown. To gain more insight into the pro-apoptotic effects upon FoxK2 knockdown we screened for changes in Bcl2 genes. Upon FoxK2 knockdown both Puma and Noxa were significantly upregulated. Both genes were not inhibited by rapamycin treatment, instead rapamycin increased Noxa mRNA. FoxK2 requirement in cellular survival is further emphasized by the fact that resistance to TGFβ-induced cell death was greatly diminished after FoxK2 knockdown. Overall our data suggest FoxK2 is required for proliferation and survival, that mTOR is part of a feedback loop partly compensating for FoxK2 loss, possibly by upregulating Gadd45s, whereas cell death upon FoxK2 loss is induced in a Bcl2 dependent manner via Puma and Noxa

Lipoprotein cholesterol uptake mediates upregulation of bile acid synthesis by increasing cholesterol 7a-hydroxylase but not sterol 27- hydroxylase gene expression in cultured rat hepatocytes.

Lipoproteins may supply substrate for the formation of bile acids, and the amount of hepatic cholesterol can regulate bile-acid synthesis and increase cholesterol 7α-hydroxylase expression. However, the effect of lipoprotein cholesterol on sterol 27-hydroxylase expression and the role of different lipoproteins in regulating both enzymes are not well established. We studied the effect of different rabbit lipoproteins on cholesterol 7α-hydroxylase and sterol 27-hydroxylase in cultured rat hepatocytes. β-Migrating very-low-density lipoprotein (βVLDL) and intermediate-density lipoprotein (IDL) caused a significant increase in the intracellular cholesteryl ester content of cells (2.3 and 2-fold, respectively) at a concentration of 200 μg of cholesterol/ml, whereas high-density lipoprotein (HDL, 50% v/v), containing no apolipoprotein E (apo E), showed no effect after a 24-h incubation. βVLDL and IDL increased bile-acid synthesis (1.9- and 1.6-fold, respectively) by up-regulation of cholesterol 7α-hydroxylase activity (1.7- and 1.5-fold, respectively). Dose-and time-dependent changes in cholesterol 7α-hydroxylase mRNA levels and gene expression underlie the increase in enzyme activity. Incubation of cells with HDL showed no effect. Sterol 27-hydroxyse gene expression was not affected by any of the lipoproteins added. Transient-expression experiments in hepatocytes, transfected with a promoter-reporter construct containing the proximal 348 nucleotides of the rat cholesterol 7α-hydroxylase promoter, showed an enhanced gene transcription (2-fold) with βVLDL, indicating that a sequence important for a cholesterol-induced transcriptional response is located in this part of the cholesterol 7α-hydroxylase gene. The extent of stimulation of cholesterol 7α-hydroxylase is associated with the apo E content of the lipoprotein particle, which is important in the uptake of lipoprotein cholesterol. We conclude that physiological concentrations of cholesterol in apo E-containing Lipoproteins increase bile-acid synthesis by stimulating cholesterol 7α-hydroxylase gene transcription, whereas HDL has no effect and sterol 27-hydroxylase is not affected