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In this paper we study the dynamical behavior of linear discrete-time fractional systems. The first main result is that the norm of the difference of two different solutions of a time-varying discrete-time Caputo equation tends to zero not faster than polynomially. The second main result is a complete description of the decay to zero of the trajectories of one-dimensional time-invariant stable Caputo and Riemann-Liouville equations. Moreover, we present Volterra convolution equations, that are equivalent to Caputo equations.

The endogenous cannabinoid 2-arachidonoyl glycerol (2-AG) is an anti-fibrotic lipid mediator that induces apoptosis in hepatic stellate cells (HSCs), but not in hepatocytes. However, the exact molecular mechanisms of this selective induction of HSC death are still unresolved. Interestingly, the inducible isoform of cyclooxygenase, COX-2, can metabolize 2-AG to pro-apoptotic prostaglandin glycerol esters (PG-GEs). We analyzed the roles of COX-2 and endocannabinoid-derived PG-GEs in the differential susceptibility of primary activated HSCs and hepatocytes toward 2-AG-induced cell death. HSCs displayed significant COX-2 expression in contrast to hepatocytes. Similar to 2-AG, treatment of HSCs with PGD2-GE dose-dependently induced cell death independently from cannabinoid receptors that was accompanied by PARP- and caspase 3-cleavage. In contrast to 2-AG, PGD2-GE failed to induce significant ROS formation in HSCs, and depletion of membrane cholesterol did not rescue HSCs from PGD2-GE-induced apoptosis. These findings indicate differential engagement of initial intracellular signaling pathways by 2-AG and its COX-2-derived metabolite PGD2-GE, but similar final cell death pathways. Other PG-GEs, such as PGE2-or PGF2alpha-GE did not induce apoptosis in HSCs. Primary rat hepatocytes were mainly resistant against 2-AG- and PGD2-GE-induced apoptosis. HSCs, but not hepatocytes were able to metabolize 2-AG to PGD2-GE. As a proof of principle, HSCs from COX-2(-/-) mice lacked PDG2-GE production after 2-AG treatment. Accordingly, COX-2(-/-) HSCs were resistant against 2-AG-induced apoptosis. In conclusion, the divergent expression of COX-2 in HSCs and hepatocytes contributes to the different susceptibility of these cell types towards 2-AG-induced cell death due to the generation of pro-apoptotic PGD2-GE by COX-2 in HSCs. Modulation of COX-2-driven metabolization of 2-AG may provide a novel physiological concept allowing the specific targeting of HSCs in liver fibrosis.

Inspection of the 5' region of the sequence of the rat fatty acid synthase (FAS) gene revealed a high GC content between -900 and +500, implying several binding sites for members of the Sp1 family of transcription factors. Using SL2 and H4IIE cells in conjunction with FAS promoter/luciferase constructs either successively deleted or containing defined deletions we characterized six GC boxes--GC-I to GC-VI--located between -557 and -83 and discovered a seventh, GC-VII, in the first intron. In vitro DNAse I-footprinting, electrophoretic mobility shift assays, and the yeast one-hybrid system indicated that Sp1 as well as Sp3 interacts with GC-I to GC-VII. Each of the GC boxes conferred Sp1-dependent transcription on the FAS-Mini promoter and in the case of GC-I, Sp1, and Sp3 exert an additive effect on FAS promoter activity.

Electrophoretic mobility shift assay (EMSA) and in vitro transcription/translation show that NF-Y binds to the inverted CCAAT-element in the promoter of the rodent spot14 gene. The NF-Y-binding sequence has been shown to be responsible for basal activity in H4IIE. Given the similar role found for the inverted CCAAT-element in the promoter of the FAS gene, NF-Y may have an important function in the control of lipogenesis.

The regulation of the rat fatty acid synthase gene by mediators such as diet, hormones, cAMP, sterols or retinoic acid is controlled by three NF-Y binding sites. All three sites have a neighbouring Sp1-binding GC-box. This NF-Y/Sp1 motif is conserved in the FAS promoters of rat, human, goose and chicken. We have previously shown cooperative binding of NF-Y and Sp1 to the promoter region at -500 coincident with a diet-induced DNAse I-hypersensitive site. Here, we show an in-vivo interaction of NF-YA with Sp1 using the yeast two-hybrid system. The interacting domains are located between amino acids 55 and 139 of the NF-Y subunit NF-YA and between amino acids 139 and 344 of Sp1. In addition, we show by co-immunoprecipitation direct interaction of NF-Y subunit NF-YA with Sp1 in extracts of rat hepatoma cells H4IIE. Furthermore, we demonstrate by the GST pull-down assay that NF-YA interacts physically with Sp1 in-vitro in the absence of DNA. Therefore, NF-Y can be added to the list of transcription factors interacting with Sp1.

In vitro DNase I footprint analysis of the rat fatty acid synthase (FAS) promoter from -568 to -468 revealed four protein binding sites: A, B, and C boxes and the FAS insulin-responsive element 1 (FIRE1). As demonstrated by gel mobility shift analysis and supershift experiments, FIRE1, located between -516 and -498, is responsible for binding NF-Y. The C box located downstream of FIRE1 was shown by in vitro footprinting to be a Sp1 binding site, and furthermore, competition with Sp1 also abolished FIRE1 binding. Since the half-life of the Sp1.NF-Y.DNA complex is significantly longer than the half-lives of the Sp1.DNA or NF-Y.DNA complexes, the two transcription factors are deemed to bind cooperatively in the FAS promoter at -500. It is unusual that NF-Y binds at this distance from the start site of transcription. NF-Y binding sites are found in the promoters of at least three other FAS genes, viz. goose, chicken, and man. A second NF-Y binding site is located in the FAS promoter at the more usual position of -103 to -87, and it too has a neighboring Sp1 site. CTF/NF-1 competes for proteins binding to the B box. The A box binds Sp1 and contains a 12/13 match of the inverted repeat sequence responsible for binding the nuclear factor EF-C/RFX-1 in the enhancer regions of hepatitis B virus and the major histocompatibility complex class II antigen promoter. The same relative positions of NF-Y and Sp1 binding sites in the promoters of FAS genes of goose, rat, chicken, and man emphasize the involvement of these transcription factors in the diet and hormonal regulation of FAS.

Using EMSA competition experiments together with supershifts and in vitro transcription/translation we show that the basal transcription factor NF-Y or a related factor binds to the cAMP-responsive inverted CCAAT box recently identified in the rat fatty acid synthase (FAS) gene from nucleotide -99 to -92 relative to the transcription start site of the FAS mRNA. This result indicates a putative novel role for NF-Y in the cAMP-dependent gene regulation in a small class of genes such as FAS and tryptophan hydroxylase. Since NF-Y is a constitutively produced factor, not surprisingly, no differences in the specific DNA/protein complex with the CCAAT(FAS) box and nuclear proteins from H4IIE cells treated with cAMP and/or insulin or not could be observed. This implies that NF-Y might be modified in response to cAMP or might interact with another factor whose properties are altered by cAMP.

In a shotgun approach we sequenced the cosmid pEOA284 containing a fragment derived from the right arm of chromosome XV of Saccharomyces cerevisiae. An analysis of the sequence revealed that it contained open reading frames (ORFs) corresponding to the known genes SLY41, SPS4, COT1, FAA1, PMT3, PRO2 and MYO2. Of the 18 unknown ORFs, five are contained totally within, and two, O6105 and O6163, partially overlap other ORFs. ORF O6116 and O6139 have putative introns. Regions of similarity with chromosomes I and XIII have been uncovered. Interestingly, most of the paired ORFs encode proteins of the same gene family. The relatedness of these ORFs suggests gene duplication.

We describe the use of UV-crosslinking in combination with SDS-PAGE to determine the approximate molecular weight of DNA-binding proteins. A 5-bromo-2'-deoxyuridine (5-BrdU)-substituted, radioactively labeled double-stranded oligonucleotide representing the protein binding site is incubated with a crude nuclear extract containing the protein of interest. Following irradiation with a UV light source, the DNA/protein complex is subjected to SDS-PAGE and its molecular weight determined by comparison with appropriate protein standards.

Fatty acid synthase (FAS), one of the main lipogenic enzymes, converts dietary calories into a storage form of energy. The transcription factors, stimulatory proteins 1 and 3 (Sp1 and Sp3), nuclear factor Y (NF-Y), upstream stimulatory factor (USF) and sterol regulatory element binding protein-1 (SREBP-1) have cognate binding sites on the promoter of the FAS gene. It was shown that Sp1 and NF-Y interact co-operatively at the diet-induced DNase I-hypersensitive site at position —500. Adjacent binding sites for NF-Y and Sp1 have also been found between —71 and —52, and —91 and —83. cAMP regulation is mediated via the inverted CAAT element (ICE) at —99 to —92, which binds NF-Y. The FAS insulin-responsive element 3 (FIRE3)-binding site at —71 to —52 is capable of binding NF-Y, USF and SREBP-1, and is required for the sterol response in conjunction with the co-activator NF-Y around —100. Surprisingly, both FIRE3 and ICE are also necessary for the response to retinoic acid that plays a role in development and is an essential component of the diet.

The transcription of the fatty acid synthase (FAS) gene is regulated by the sterol status of the cell via cleavage of the sterol regulatory element-binding protein (SREBP). When human HepG2 hepatoma cells were cotransfected with an expression plasmid for mature SREBP-1a together with FAS promoter/reporter constructs significant increases in reporter activity were observed. Deletion analysis of the FAS promoter between -151 and -52 relative to the transcription start site pinpoint two cis-elements important in sterol regulation of the FAS gene. One element, FIRE3, between -71 and -52 can bind in vitro translated and transcribed SREBP-1a whereas the other element, the inverted CCAAT element ICE(-97/-92), binds the trimeric transcription factor NF-Y/CBF as shown with rat liver extract and reconstituted, recombinant NF-Y. The results clearly show that the coactivator for SREBP-1a in this cell line is NF-Y. This finding was confirmed by using a dominant negative form of NF-YA, NF-YAm29, which interferes with the effect of ectopically expressed SREBP-1a on FAS reporter activity.