Nonlinear Quasi-Normal Modes: Uniform Approximation

Recent works have suggested that nonlinear effects in black hole perturbation theory may be important for describing a black hole ringdown. We show that the technique of uniform approximations can be used to accurately compute 1) nonlinear amplitudes at large distances in terms of the linear ones, 2) linear (and nonlinear) quasi-normal mode frequencies, 3) the wavefunction for both linear and nonlinear modes. Our method can be seen as a generalization of the WKB approximation, with the advantages of not losing accuracy at large overtone number and not requiring matching conditions. To illustrate the effectiveness of this method we consider a simplified source for the second-order Zerilli equation, which we use to numerically compute the amplitude of nonlinear modes for a range of values of the angular momentum number.Comment: 17 pages + appendice

Structure, Chromosomal Localization, and Promoter Analysis of the Human Elastin MicrofibrilInterfase Located proteIN (EMILIN) Gene

Abstract Elastinmicrofibril interfase-located protein (EMILIN) is an extracellular matrix glycoprotein abundantly expressed in elastin-rich tissues such as the blood vessels, skin, heart, and lung. It occurs with elastic fibers at the interface between amorphous elastin and microfibrils. In vitroexperiments suggested a role for EMILIN in the process of elastin deposition. This multimodular protein consists of 995 amino acids; the domain organization includes a C1q-like globular domain at the C terminus, a short collagenous stalk, a region containing two leucine zippers, and at least four heptad repeats with a high potential for forming coiled-coil α-helices and, at the N terminus, a cysteine-rich sequence characterized by a partial epidermal growth factor-like motif and homologous to a region of multimerin. Here we report the complete characterization of the human and murine EMILIN gene, their chromosomal assignment, and preliminary functional data of the human promoter. A cDNA probe corresponding to the C terminus of EMILIN was used to isolate two genomic clones from a human BAC library. Sequencing of several derived subclones allowed the characterization of the whole gene that was found to be about 8 kilobases in size and to contain 8 exons and 7 introns. The internal exons range in size from 17 base pairs to 1929 base pairs. All internal intron/exon junctions are defined by canonical splice donor and acceptor sites, and the different domains potentially involved in the formation of a coiled-coil structure are clustered in the largest exon. The 3′-end of the EMILIN gene overlaps with the 5′-end of the promoter region of the ketohexokinase gene, whose chromosomal position is between markers D2S305 and D2S165 on chromosome 2. A 1600-base pair-long sequence upstream of the translation starting point was evaluated for its promoter activity; five deletion constructs were assayed after transfection in primary chicken fibroblasts and in a human rhabdomyosarcoma cell line. This analysis indicates the existence of two contiguous regions able to modulate luciferase expression in both cell types used, one with a strong activatory function, ranging from positions −204 to −503, and the other, ranging from positions −504 to −683, with a strong inhibitory function

Integrin binding site within the gC1q domain orchestrates EMILIN-1-induced lymphangiogenesis.

Lymphatic vessels (LVs) play a pivotal role in the control of tissue homeostasis and also have emerged as important regulators of immunity, inflammation and tumor metastasis. EMILIN-1 is the first ECM protein identified as a structural modulator of the growth and maintenance of LV; accordingly, Emilin1-/- mice display lymphatic morphological alterations leading to functional defects as mild lymphedema, leakage and compromised lymph drainage. Many EMILIN-1 functions are exerted by the binding of its gC1q domain with the E933 residue of α4 and α9β1 integrins. To investigate the specific regulatory role of this domain on lymphangiogenesis, we generated a transgenic mouse model expressing an E933A-mutated EMILIN-1 (E1-E933A), unable to interact with α4 or α9 integrin. The mutant resulted in abnormal LV architecture with dense, tortuous and irregular networks; moreover, the number of anchoring filaments was reduced and collector valves had aberrant narrowed structures. E933A mutation also affected lymphatic function in lymphangiography assays and made the transgenic mice more prone to lymph node metastases. The finding that the gC1q/integrin interaction is crucial for a correct lymphangiogenesis response was confirmed and reinforced by functional in vitro tubulogenesis assays. In addition, ex vivo thoracic-duct ring assays revealed that E1-E933A-derived lymphatic endothelial cells had a severe reduction in sprouting capacity and were unable to organize into capillary-like structures. All these data provide evidence that the novel "regulatory structural" role of EMILIN-1 in the lymphangiogenic process is played by the integrin binding site within its gC1q domain

multimerin 2 maintains vascular stability and permeability

Abstract Multimerin-2 is an extracellular matrix glycoprotein and member of the elastin microfibril interface-located (EMILIN) family of proteins. Multimerin-2 is deposited along blood vessels and we previously demonstrated that it regulates the VEGFA/VEGFR2 signaling axis and angiogenesis. However, its role in modulating vascular homeostasis remains largely unexplored. Here we identified Multimerin-2 as a key molecule required to maintain vascular stability. RNAi knockdown of Multimerin-2 in endothelial cells led to cell-cell junctional instability and increased permeability. Mechanistically cell-cell junction dismantlement occurred through the phosphorylation of VEGFR2 at Tyr951, activation of Src and phosphorylation of VE-cadherin. To provide an in vivo validation for these in vitro effects, we generated Multimerin-2−/− (Mmrn2−/−) mice. Although Mmrn2−/− mice developed normally and displayed no gross abnormalities, endothelial cells displayed cell junctional defects associated with increased levels of VEGFR2 phospho-Tyr949 (the murine counterpart of human Tyr951), impaired pericyte recruitment and increased vascular leakage. Of note, tumor associated vessels were defective in Mmrn2−/− mice, with increased number of small and often collapsed vessels, concurrent with a significant depletion of pericytic coverage. Consequently, the Mmrn2−/− vessels were less perfused and leakier, leading to increased tumor hypoxia. Chemotherapy efficacy was markedly impaired in Mmrn2−/− mice and this was associated with poor drug delivery to the tumor xenografts. Collectively, our findings demonstrate that Multimerin-2 is required for proper vessel homeostasis and stabilization, and unveil the possibility to utilize expression levels of this glycoprotein in predicting chemotherapy efficacy

Nonlinear quasi-normal modes: uniform approximation

Abstract Recent works have suggested that nonlinear (quadratic) effects in black hole perturbation theory may be important for describing a black hole ringdown. We show that the technique of uniform approximations can be used to accurately compute 1) nonlinear amplitudes at large distances in terms of the linear ones, 2) linear (and nonlinear) quasi-normal mode frequencies, 3) the wavefunction for both linear and nonlinear modes. Our method can be seen as a generalization of the WKB approximation, with the advantages of not losing accuracy at large overtone number and not requiring matching conditions. To illustrate the effectiveness of this method we consider a simplified source for the second-order Zerilli equation, which we use to numerically compute the amplitude of nonlinear modes for a range of values of the angular momentum number

Abrogation of EMILIN1-β1 integrin interaction promotes experimental colitis and colon carcinogenesis.

Colon cancer is one of the first tumor types where a functional link between inflammation and tumor onset has been described; however, the microenvironmental cues affecting colon cancer progression are poorly understood. Here we demonstrate that the expression of the ECM molecule EMILIN-1 halts the development of AOM-DSS induced tumors. In fact, upon AOM-DSS treatment the Emilin1-/- (E1-/-) mice were characterized by a higher tumor incidence, bigger adenomas and less survival. Similar results were obtained with the E933A EMILIN-1 (E1-E933A) transgenic mouse model, expressing a mutant EMILIN-1 unable to interact with α4/α9β1 integrins. Interestingly, upon chronic treatment with DSS, E1-/- and E1-E933A mice were characterized by the presence of increased inflammatory infiltrates, higher colitis scores and more severe mucosal injury respect to the wild type (E1+/+) mice. Since alterations of the intestinal lymphatic network are a well-established feature of human inflammatory bowel disease and EMILIN-1 is a key structural element in the maintenance of the integrity of lymphatic vessels, we assessed the lymphatic vasculature in this context. The analyses revealed that both E1-/- and E1-E933A mice displayed a higher density of LYVE-1 positive vessels; however, their functionality was severely compromised after colitis induction. Taken together, these results suggest that the loss of EMILIN-1 expression may cause the reduction of the inflammatory resolution during colon cancer progression due to a decreased lymph flow and impaired inflammatory cell drainage

The ablation of the matricellular protein EMILIN2 causes defective vascularization due to impaired EGFR-dependent IL-8 production affecting tumor growth

EMILIN2 is an extracellular matrix constituent playing an important role in angiogenesis; however, the underlying mechanism is unknown. Here we show that EMILIN2 promotes angiogenesis by directly binding epidermal growth factor receptor (EGFR), which enhances interleukin-8 (IL-8) production. In turn, IL-8 stimulates the proliferation and migration of vascular endothelial cells. Emilin2 null mice were generated and exhibited delayed retinal vascular development, which was rescued by the administration of the IL-8 murine ortholog MIP-2. Next, we assessed tumor growth and tumor-associated angiogenesis in these mice. Tumor cell growth in Emilin2 null mice was impaired as well as the expression of MIP-2. The vascular density of the tumors developed in Emilin2 null mice was prejudiced and vessels perfusion, as well as response to chemotherapy, decreased. Accordingly, human tumors expressing high levels of EMILIN2 were more responsive to chemotherapy. These results point at EMILIN2 as a key microenvironmental cue affecting vessel formation and unveil the possibility to develop new prognostic tools to predict chemotherapy efficacy