Search Results (2)

Drawing inspiration from Stanley Kubrick’s iconic science fiction masterpiece, this study posits that the future of joint health is not confined to a singular trajectory but is instead shaped by our collective efforts towards pioneering initiatives that transcend present-day boundaries. From its inception to the horizon of 2050, the trajectory of arthroplasty presents a compelling narrative of medical innovation, socioeconomic challenges, and sustainability pursuits. This Perspective addresses the growing osteoarthritis epidemic, emphasizing the urgent need for prevention and early-intervention strategies to reduce disease progression in the context of imminent critical-raw-material scarcity and the transition to a carbon-free economy. This transition, aiming for Net Zero by 2050, may unintentionally lead to financial instabilities and healthcare disruptions—driven by supply-chain fragility and rising costs—and could thereby exacerbate inequities in access to elective joint replacement. The illustrative scenarios and conditional comparative trends presented here highlight potential co-occurring clinical, economic, and material risks under business-as-usual (BAU) assumptions. These multifaceted complexities warrant the development of coordinated strategies. By examining current trends and future challenges, this paper therefore calls for a holistic approach to the green transition that promotes multidisciplinary dialogue and policy alignment to ensure an ethical, equitable, and sustainable future for resilient arthroplasty services amid ongoing decarbonization initiatives. Full article

In 1982, Stanley predicted a combinatorial upper bound for the depth of any finitely generated multigraded module over a polynomial ring. The predicted invariant is now called the Stanley depth. Duval et al. found a counterexample for Stanley’s conjecture, and their counterexample is a quotient of squarefree monomial ideals. On the other hand, there is evidence showing that Stanley’s inequality can be true for high powers of monomial ideals. In this survey article, we collect the recent results in this direction. More precisely, we investigate the Stanley depth of powers, integral closure of powers, and symbolic powers of monomial ideals. Full article