Can tori arise in a two-regional model with fixed exchange rates?

A two-regional, five dimensional model describing the development of income, capital stock and money stock, which was introduced by T. Asada in [1], is analysed. Sufficient conditions are found for the existence of two pairs of purely imaginary eigenvalues and a fifth negative one for the linear approximation matrix of the model. A theorem on the existence of invariant tori is presented.dynamic model, equilibrium, linear approximatiomatrix, eigenvalues, normal form of differential equations on invariant surface, bifurcation equation, torus

Master\u27s Project: Impacts to Natural Resources and the Natural Environment from Large-Scale Solar Facilities in Vermont: An Analysis of Public Utilities Commission Documents

Renewable energy deployment and conserving biodiversity are both related to mitigating and preventing the worst effects of climate change. These issues require careful consideration of land use and the consequences associated with land use choices. Large-scale ground-mounted photovoltaic solar energy is a promising clean energy technology, as it can be flexibly deployed, produces low lifecycle carbon emissions compared to other energy sources, and is cost competitive. However, questions remain about how large-scale solar will affect ecological functionality of the Vermont landscape. This report evaluates how the Vermont Public Utility Commission, the Vermont Agency of Natural Resources, and other parties to siting ground-mounted solar evaluate the ecological impacts from large-scale solar energy. It includes interviews with experts involved in solar siting issues, a review quantifying stipulations issued by regulators to avoid undue adverse impacts on protected natural resources, and an analysis reviewing common stipulations across all large-scale solar installations sited in Vermont. The analysis reveals a pattern of development favoring farmland and areas with no zoning designation near populated areas. Incentives to deploy 2.2 MW or smaller arrays appeared to have fewer natural resource concerns compared to larger installations. Impacts to grassland bird habitats, abutting forest blocks, soil erosion, and rare, threatened, or endangered species were commonly raised across developments. To improve solar siting and mitigate impacts to environmental resources, increased monitoring requirements and improved coordination between state and local governments solar should be considered by the state to facilitate low-impact developments at the local level

High mobility group box 1 protein regulates osteoclastogenesis through direct actions on osteocytes and osteoclasts in vitro

Old age and Cx43 deletion in osteocytes are associated with increased osteocyte apoptosis and osteoclastogenesis. We previously demonstrated that apoptotic osteocytes release elevated concentrations of the pro-inflammatory cytokine, high mobility group box1 protein (HMGB1) and apoptotic osteocyte conditioned media (CM) promotes osteoclast differentiation. Further, prevention of osteocyte apoptosis blocks osteoclast differentiation and attenuates the extracellular release of HMGB1 and RANKL. Moreover, sequestration of HMGB1, in turn, reduces RANKL production/release by MLO-Y4 osteocytic cells silenced for Cx43 (Cx43def), highlighting the possibility that HMGB1 promotes apoptotic osteocyte-induced osteoclastogenesis. However, the role of HMGB1 signaling in osteocytes has not been well studied. Further, the mechanisms underlying its release and the receptor(s) responsible for its actions is not clear. We now report that a neutralizing HMGB1 antibody reduces osteoclast formation in RANKL/MCSF treated bone marrow cells (BMC). In bone marrow macrophages (BMMs), TLR4 inhibition with LPS-RS, but not RAGE inhibition with Azeliragon attenuated osteoclast differentiation. Further, inhibition of RAGE but not of TLR4 in osteoclast precursors reduced osteoclast number, suggesting that HGMB1 produced by osteoclasts directly effects differentiation by activating TLR4 in BMMs and RAGE in pre-osteoclasts. Our findings also suggest that increased osteoclastogenesis induced by apoptotic osteocytes CM is not mediated through HMGB1/RAGE activation and that direct HMGB1 actions in osteocytes stimulate pro-osteoclastogenic signal release from Cx43def osteocytes. Based on these findings, we propose that HMGB1 exerts dual effects on osteoclasts, directly by inducing differentiation through TLR4 and RAGE activation and indirectly by increasing pro-osteoclastogenic cytokine secretion from osteocytes

High mobility group box 1 protein regulates osteoclastogenesis through direct actions on osteocytes and osteoclasts in vitro

Old age and Cx43 deletion in osteocytes are associated with increased osteocyte apoptosis and osteoclastogenesis. We previously demonstrated that apoptotic osteocytes release elevated concentrations of the pro-inflammatory cytokine, high mobility group box1 protein (HMGB1) and apoptotic osteocyte conditioned media (CM) promotes osteoclast differentiation. Further, prevention of osteocyte apoptosis blocks osteoclast differentiation and attenuates the extracellular release of HMGB1 and RANKL. Moreover, sequestration of HMGB1, in turn, reduces RANKL production/release by MLO-Y4 osteocytic cells silenced for Cx43 (Cx43def), highlighting the possibility that HMGB1 promotes apoptotic osteocyte-induced osteoclastogenesis. However, the role of HMGB1 signaling in osteocytes has not been well studied. Further, the mechanisms underlying its release and the receptor(s) responsible for its actions is not clear. We now report that a neutralizing HMGB1 antibody reduces osteoclast formation in RANKL/MCSF treated bone marrow cells (BMC). In bone marrow macrophages (BMMs), TLR4 inhibition with LPS-RS, but not RAGE inhibition with Azeliragon attenuated osteoclast differentiation. Further, inhibition of RAGE but not of TLR4 in osteoclast precursors reduced osteoclast number, suggesting that HGMB1 produced by osteoclasts directly effects differentiation by activating TLR4 in BMMs and RAGE in pre-osteoclasts. Our findings also suggest that increased osteoclastogenesis induced by apoptotic osteocytes CM is not mediated through HMGB1/RAGE activation and that direct HMGB1 actions in osteocytes stimulate pro-osteoclastogenic signal release from Cx43def osteocytes. Based on these findings, we propose that HMGB1 exerts dual effects on osteoclasts, directly by inducing differentiation through TLR4 and RAGE activation and indirectly by increasing pro-osteoclastogenic cytokine secretion from osteocytes