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We study operads with trivial A-actions and prove an equivalence between the category of A-trivial operads and that of pseudo-graded-Perm associative algebras. As a consequence, we show that finitely generated A-trivial operads are right noetherian of integral Gelfand-Kirillov dimension and that every element in a prime A-trivial operad is central. 

Millimeter-wave (mmWave) links are increasingly utilized in wireless x-haul transport to meet growing service demands. However, the inherent susceptibility of mmWave links to weather-related attenuation creates uncertainty about future network capacity which can significantly affect Quality of Service (QoS). This creates a critical challenge: how to make admission control decisions for slices with QoS requirements, balancing acceptance rewards against the risk of future QoS-violation penalties due to capacity uncertainty? To address this, we develop a proactive slice admission control framework that tightly integrates: (i) a predictor that leverages historical link measurements to forecast short-term attenuation and quantify uncertainty; and (ii) an admission control algorithm that incorporates both the predictions and uncertainties to maximize rewards and minimize QoS-violation penalties. We compare our framework against baseline, state-of-the-art, and idealized oracle algorithms using real-world mmWave x-haul data and residential traffic traces. Simulations suggest that our framework can achieve revenues that are 250% larger than baseline algorithms and 75% larger than state-of-the-art algorithms. 

Claudin-15 (CLDN15) molecules form channels that directly regulate cation and water transport. In the gastrointestinal tract, this transport indirectly impacts nutrient absorption. However, the mechanisms governing ion transport through these channels remain poorly understood. We addressed this question by building on our previous cell culture studies and all atom molecular dynamic simulation model of CLDN15. By mutating D55 to a bulkier glutamic acid (E) or neutral amino acid asparagine (N), our in vitro measurements showed that the D55E mutation decreased charge selectivity and favored small ion permeability, while the D55N mutation led to reduced charge selectivity without markedly altering size selectivity. By establishing a simplified (reduced) CLDN15 molecular dynamics model that excludes non-essential transmembrane regions, we were able to probe how D55 modified cation dehydration, charge interaction, and permeability. These results provide novel insight into organization of the CLDN15 selectivity filter and suggests that D55 plays a dual role in shaping both electrostatic and steric properties of the pore, but its electrostatic role is more prominent in determining CLDN15 cation permeability. This knowledge can be used toward the development of effective strategies to modulate CLDN15 function. The experimental approach established can be further extended to study the function of other claudin channels. Together, these advancements will help us to modulate tight junctions to promote human health. 

The growing demand for wireless communications and the emergence of 5G and beyond-5G networks have made dynamic spectrum sharing and efficient radio frequency (RF) spectrum management critical challenges for both researchers and regulators. This paper presents the COSMOS Zone Management System (ZMS), a cloud-native, web-based spectrum coordination platform designed to enable dynamic electromagnetic spectrum sharing in dense urban environments. Developed as part of a multi-university NSF SII-NRDZ collaboration, the ZMS operates within the COSMOS PAWR testbed in West Harlem, New York City, inside an FCC-designated Innovation Zone. The system leverages Spectrum Consumption Models (SCMs) standardized under IEEE 1900.5.2 to formally characterize RF device spectrum use and execute Compatibility Test (CT) computations for interference analysis and spectrum use authorization. Built on a Kubernetes-based microservices architecture, the ZMS integrates real-time spectrum monitoring, automated compatibility testing, interference alarm management, and external tool integrations — including NG-Scope for LTE network telemetry and Geo2SigMap for 3D radio propagation modeling. Two representative use cases demonstrate the system’s planning and coordination capabilities. The results illustrate the ZMS’s ability to serve as both an operational spectrum management tool and a research platform for studying spectrum coexistence in complex urban RF environments.