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This paper is concerned with the entire solutions defined in the whole space and for all time t ∈ R of a public good game model. The existence of the entire solutions is proved by super- and sub-solution method. Traveling fronts with possibly different wave speeds are used to construct the super- and sub-solutions, in particular, the traveling fronts of a variant of KPP equation are used to derive the t < 0 part of the super solutions. [ABSTRACT FROM AUTHOR]

Here, we sought to explore the underlying role of interleukin (IL)-8 in neutrophil extracellular traps (NETs) formation during atherosclerosis (AS). The concentration of pro-inflammatory cytokines IL-8, IL-6 and IL-1β was determined by enzyme-linked immunosorbent assay (ELISA). NETs formation was evaluated by immunofluorescence and myeloperoxidase (MPO)-DNA complex ELISA. The mRNA levels of IL-8 and Toll-like receptor 9 (TLR9) were measured by quantitative real-time PCR (qRT-PCR). The phosphorylation levels of NF-κB p65 were detected by western blotting. The hematoxylin and eosin (H&E) staining of atherosclerotic lesion areas was performed in ApoE-deficiency mice. Results showed that patients with AS showed higher serum levels of IL-8, a pro-inflammatory cytokine and NETs. IL-8 interacted with its receptor CXC chemokine receptor 2 (CXCR2) on neutrophils, leading to the formation of NETs via Src and extracellular signal-regulated kinase (ERK) and p38 mitogen-activated protein kinases (MAPK) signaling to aggravate AS progression in vivo. PMA-induced NETosis directly upregulated the TLR9/NF-κB pathway in macrophages and subsequently initiated the release of IL-8. Our data reveal a neutrophil-macrophage interaction in AS progression, and indicate that NETs represent as a novel therapeutic target in treatment of AS and other cardiovascular diseases (CVD). [ABSTRACT FROM AUTHOR]