In this paper, we develop a new adaptive hyperbolic-cross-space mapped Jacobi (AHMJ) method for solving multidimensional spatiotemporal integrodifferential equations in unbounded domains. By devising adaptive techniques for sparse mapped Jacobi spectral expansions defined in a hyperbolic cross space, our proposed AHMJ method can efficiently solve various spatiotemporal integrodifferential equations such as the anomalous diffusion model with reduced numbers of basis functions. Our analysis of the AHMJ method gives a uniform upper error bound for solving a class of spatiotemporal integrodifferential equations, leading to effective error control.
Quorum quenching (QQ)-based strategies are efficient for biofouling control. However, the feasibility of using QQ bacteria in antibiotic-stressed membrane bioreactors (MBRs) remains unknown. In this study, we isolated three novel QQ strains (Bacillus sp. QX01 and QX03, Delftia sp. QX14) from the activated sludge of an actual MBR. They can degrade 11 N-acyl-homoserine lactones (AHLs) with high efficiencies and rates through intracellular QQ pathways involving putative acylases and lactonases. Running two lab-scale MBRs, we found that introducing antibiotics (sulfamethoxazole, azithromycin, and ciprofloxacin, each at 100 μg/L) shortened the fouling cycle by 71.4 %. However, the immobilized inoculation of QX01 into one MBR extended the fouling cycle by 1.5-2.0 times. Quantitative detection revealed that QX01 significantly reduced the concentrations of two AHLs (C4-HSL and C8-HSL), which were positively correlated with the contents of extracellular polymeric substances (EPS) (Pearson's r = 0.62-0.83, P < 0.01). This suggests that QX01 could perform its QQ activity robustly under antibiotic stress, thereby inhibiting EPS production (proteins especially) and biofilm formation. Moreover, QX01 notably altered the succession patterns of both sludge and fouling communities, with more pronounced effects on abundant taxa. Genera associated with AHL synthesis and EPS production, such as Terrimonas and Rhodobacter, were significantly depleted, contributing to the mitigated biofouling. Additionally, QX01 increased the bacterial community diversity (evenness especially), which was inhibited by antibiotics. Overall, we demonstrate that the novel QQ bacteria could be effective for biofouling control in antibiotic-stressed MBRs, though future work is needed to develop practical approaches for prolonging QQ activity.
This study examines the socio-political landscape of the ancient city of Amastris (modern Amasra) through the lens of its road infrastructure, with a particular focus on the construction and significance of Aquila’s roads. Situated in the challenging terrain of northern Anatolia’s Küre Mountains, Amastris served as a vital maritime hub, linking diverse inland and coastal communities within Paphlagonia. Employing a multidisciplinary approach that integrates ancient literary analysis, archaeological evidence, and geospatial modeling, this paper reconstructs the network of primary and secondary Roman roads emanating from Amastris. The research highlights the dual role of these roads in fostering territorial coherence and enhancing regional connectivity, supporting both local autonomy and imperial governance. Key findings demonstrate that Aquila’s roads were not merely infrastructural projects but strategic undertakings that blended private investment with public utility. These projects reflect the intricate interplay between individual agency and state interests in Roman provincial administration. Furthermore, the study explores the broader cultural and economic impacts of road construction on Amastris, illustrating how connectivity shaped civic identity, social integration, and territorial integrity. The paper concludes that Aquila’s road-building initiatives were instrumental in sustaining Amastris’s strategic significance and functionality within the Roman Empire. By examining the dynamic relationship between local and imperial priorities, this study offers insights into how infrastructure functioned as a nexus of governance, economic development, and regional integration in ancient Anatolia.